Anju does chores to earn allowance. She earns $3 for each chore. She wrote this equation to find how much money she earns (d) based on how many chores she does (c): 3c=d

Answers

Answer 1

Anju earned $30 by doing 10 chores. So, if Anju does 10 chores, she can earn money up to $30?

What is an equation?

An equation is a mathematical statement that indicates the equality of two expressions. It is made up of one or more variables, constants, and mathematical operations. An equation consists of two sides, left-hand side (LHS) and right-hand side (RHS), separated by an equal sign (=).

The purpose of an equation is to find the value(s) of the variable(s) that satisfy the given conditions. To solve an equation, we need to isolate the variable on one side of the equation and simplify the other side of the equation until we obtain a solution or solutions.

The equation shows that the amount of money Anju earns is directly proportional to the number of chores she does. Each chore is worth $3, so if Anju does c chores, she earns 3c dollars.

For example, if Anju does 5 chores, she can use the equation to find how much money she earned:

3c = d

3(5) = d

15 = d

So, Anju earned $15 by doing 5 chores.

Similarly, if Anju does 10 chores, she can use the same equation to find her earnings:

3c = d

3(10) = d

30 = d

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Answer 2

Answer:  independent variable Dependent variable

if you’re on khan it’s all right MARK AS BRAINLIEST PLS


Related Questions

if anyone can help id appreciate it.

Answers

Answer:

YOU HAVE TO USE THE VECTORS AS WELL MATRIX TO GET THE SOLUTION OF THIS QUESTION

The formula d=b2−4ac is used to calculate the discriminant.

Solve for b.

A) b=±2ac−d−−−−−√
B) b=±d+4ac−−−−−−√
C) ​b=±d−4ac−−−−−−√
D) b=±4ac−d−−−−−−√

Answers

The formula d=b2−4ac when solved for b = ± [tex]\sqrt{d +4ac}[/tex]. Option B

What is subject of formula?

Subject of formula is defined as a variable that is being solved for in an equation.

It is the variable that is made to stand out in an equation. It is the variable that is made to stand alone on one end of the equality sign.

From the information given, we have that;

d=b2−4ac

Now, collect the like terms

d + 4ac = b²

Find the square root of both sides, we have that;

b = [tex]\sqrt{d + 4ac}[/tex]

Insert the plus-minus sign to show the interval, we have;

b = ± [tex]\sqrt{d +4ac}[/tex]

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Which mathematical word describes both 2.25
and 6.75
in the expression 2.25x+6.75x−5.5
?

Answers

Answer:

Coefficient, the coefficient is the number before the variable

Step-by-step explanation:

The mathematical word that describes both 2.25 and 6.75 in the expression 2.25x + 6.75x - 5.5 is "coefficients."

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

In this expression,

2.25 and 6.75 are coefficients of the variables x, which means that they multiply the variable x.

The term 5.5 is a constant because it does not contain a variable.

Thus,

The mathematical word that describes both 2.25 and 6.75 in the expression 2.25x + 6.75x - 5.5 is "coefficients."

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5. A rock is thrown directly upward with an initial velocity of 79 feet per second from a cliff 50 feet above a beach. The height of the rock above the beach (h) after t seconds is given by the equation h = -16t² + 79t + 50. The graph below shows the rock's height as a function of time.

Answers

The rock will be 125  feet above the beach at: The values of t are 3.911 or 1.28 and (b) The minimum height is h= 346 feet

How to find velocity?

Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time

The given parameters are

h = -16t² + 79t + 50

In the equation put h = 125 to find t

125 = -16t² +79t+50

Rearrange the equation to have

16t²-79t -50 +125 = 0

this is also written as 16t² -79t + 75 =0

Solving for t we have

[-b±√b²-4ac]/2z

[79 ±√79²-4*16*75]/2*16

[(79 ±√6241-4800)] / 32

Simplify further to get

[79 ±√1441] / 32

(79 ±38) / 32

117/32 or 41/32

The values of t are 3.911 or 1.28

The minimum height of the rock at t = 1.28 is

h = -16(3.28)² + 79( 3.28)+ 50

h = -16(10.7584) + 79(3.28) +50

h = -  172.1344 +259.12 + 50

h= 346 feet

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what Is an array because it's kinda hard I'm in elementary school and I'm on 4th grade but it's very hard .​

Answers

Answer: An array is a collection of items of same data type stored at contiguous memory locations.

Step-by-step explanation: There you go dude happy to help

Solve to find the value of ‘a’ 10a-2=4a-1a

Answers

Answer:  a = [tex]\frac{2}{7}[/tex].

Step-by-step explanation:

    10a - 2 = 4a - 1a

    10a - 2 = 3a

10a -2 + 2 = 3a + 2

          10a = 3a + 2

   10a - 3a = 3a -3a + 2

            7a = 2

              a = [tex]\frac{2}{7}[/tex]

Choose all of the equations that have infinitely many solutions.
A. 3 (x + 4) = 2x - 7
B. 3x+8-x=3+5+2x
c. (4x − 8) = 2x − 4 + 12
D. 5-4x+7= −2 (2x - 6)
E. 4-3x - 8 = 2x + 7 - 5x

Answers

Equations that have infinitely many solutions are:

B. 3x+8-x=3+5+2x

D. 5-4x+7= −2 (2x - 6)

How to find the equations with infinitely many solutions?

An equation has infinitely many solutions when you try to solve the equation and you get a variable or a number equal to itself.

A. 3 (x + 4) = 2x - 7

3x + 12 = 2x - 7

3x -2x = -7 -12

x = -19

B. 3x+8-x=3+5+2x

3x -x - 2x =3 + 5 - 8

0 = 0

This equation has infinitely many solutions.

C. (4x − 8) = 2x − 4 + 12

4x − 2x =  − 4 + 12 + 8

2x = 16

x = 8

D. 5-4x+7= −2 (2x - 6)

5 - 4x + 7 = −4x + 12

-4x + 4x = 12 - 7 - 5

0 = 0

This equation has infinitely many solutions.

E. 4-3x - 8 = 2x + 7 - 5x

-3x - 2x + 5x = 7 + 8 - 4

0 = 11

Therefore, options B and D has infinitely many solutions.

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Please answer questions 1-6. They are not multiple choice and they are not linked together.

Answers

The perimeter of the triangle will be 36.

The value of x in the triangle will be 101°.

The value of y will be 3x

How to calculate the values

It should be noted that the total sum of the angles that are in a triangle is 180°. It should be noted that the triangle is a Equilateral Triangle. In this case, since one of the sides is 12, the perimeter will be:

= 12 + 12 + 12

= 36

The value of x in the triangle will be:

= 180° - (22 + 57)

= 180° - 79°

= 101°.

The value of y will be 3x as vertically opposite angles are equal.

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Find (f.g)(x) for f(x) = 4x - 9 and g(x)=3x^2. Show all work for full credit.

Answers

Answer:

The answer is (f.g)(x) = 12x^2 - 9.

Step-by-step explanation:

To find (f.g)(x), we need to apply the composition of functions formula, which is:

(f.g)(x) = f(g(x))

First, we need to find g(x):

g(x) = 3x^2

Now, we need to plug g(x) into f(x) in place of x:

f(g(x)) = 4(g(x)) - 9

= 4(3x^2) - 9

= 12x^2 - 9

Therefore, (f.g)(x) = 12x^2 - 9.

Hope this helps, I'm sorry if it doesn't! If you need more help, ask me! :]

Use the vertex to find the general form equation on the quadratic function

Answers

The general form of the equation of this quadratic function is f(x) = x² - 2x + 1.

What is a quadratic equation?

In Mathematics, the standard form of a quadratic equation is represented by the following mathematical equation;

ax² + bx + c = 0

Based on the information provided about this quadratic equation, it comprises the following ordered pairs;

Center (h, k) = (1, 0),

(x, y) = (0, 1).

By substituting the ordered pairs into the standard form of a quadratic equation, we have:

f(x) = a(x - h)² + k

1 = a(0 - 1)² + 0

1 = a

Therefore, the required quadratic equation is given by:

f(x) = 1(x - 1)² + 0

f(x) = (x - 1)(x - 1)

f(x) = x² - x - x + 1

f(x) = x² - 2x + 1

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Which of the following comparisons is false? 5 degrees centigrade warmer than 5 degrees farenheight or 15 degrees centigrade is cooler than 60 degrees farenheight or 30 degrees centigrade centigrade is warmer than 90 degrees farenheight or 35 degrees centigrade cooler than 100 degrees farenheight ?

Answers

The false comparison is: 35 degrees centigrade cooler than 100 degrees Fahrenheit.

What is an expression?

In mathematics and computer programming, an expression is a combination of one or more values, variables, operators, and functions that are evaluated to produce a result.

According to the given information:

The comparison "35 degrees centigrade cooler than 100 degrees Fahrenheit" is false because 35 degrees centigrade is equivalent to 95 degrees Fahrenheit, which is actually warmer than 100 degrees Fahrenheit. Therefore, it is incorrect to say that 35 degrees centigrade is cooler than 100 degrees Fahrenheit.

Therefore, the false comparison is: 35 degrees centigrade cooler than 100 degrees Fahrenheit.

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Solve for x.
0≤3x-6≤18


A 0≤x≤8
B 2≤x≤8
C x≤0 orx≥8
D x≤2 or x ≥8

Answers

Answer:

B) 2≤x≤8.

Step-by-step explanation:

Add 6 to all sides of the inequality.

0+6≤3x-6+6≤18+6

6≤3x≤24

Divide all sides by 3.

2≤x≤8

The correct answer is B) 2≤x≤8.

What are some mistakes when solving a 2 step equation with a single variable

Answers

Answer:Not dividing the entire side of the equation.

Not distributing properly using F.O.I.L.

Confusing the rules for adding and subtracting negative numbers with the rules for multiplying and dividing negative numbers.

Multiplying exponents with the base.

Step-by-step explanation:

A student has x sweets.she gives 20 to her friends. if one third of the remainder is equal to one fifth of the original number of sweets,find the original number of sweets​

Answers

Answer:

50 sweets

Step-by-step explanation:

Let's work through the problem step by step:

The student starts with x sweets.

She gives away 20 sweets to her friends, so she is left with (x - 20) sweets.

One third of the remainder is equal to one fifth of the original number of sweets. In other words, (1/3)(x - 20) = (1/5)x.

To solve for x, we can start by multiplying both sides of the equation by 15 (the least common multiple of 3 and 5) to eliminate the fractions:

5(x - 20) = 3x

5x - 100 = 3x

2x = 100

x = 50

Therefore, the original number of sweets was 50.

Solve for y when x = -8. k=-5 y = [?] Remember: y=kx​

Answers

Y = 40 40 = -5 x -8

A ball is thrown directly with an initial speed of 7.30 m/s from a height of 2.91. After what time intervals does it strike the ground?

Answers

The ball strikes the grοund after apprοximately 1.07 secοnds.

What is Time, Speed and Distance?

Time: a measured οr measurable periοd during which an actiοn, prοcess, οr cοnditiοn exists οr cοntinues.

Speed: the rate at which sοmething mοves, οperates, οr happens.

Distance: the amοunt οf space between twο pοints οr οbjects.

We can sοlve this prοblem using the kinematic equatiοns οf mοtiοn. We knοw the initial velοcity (u = 7.30 m/s), the initial height (h = 2.91 m), and we want tο find the time taken fοr the ball tο hit the grοund (t).

Let's use the kinematic equatiοn that relates the final pοsitiοn (s), initial pοsitiοn (h), initial velοcity (u), acceleratiοn (a), and time (t):

[tex]s = h + ut + (1/2)at^2[/tex]

Since the ball is thrοwn vertically dοwnwards, the acceleratiοn is [tex]-9.81 m/s^2[/tex] (negative because it is in the οppοsite directiοn tο the initial velοcity).

At the mοment the ball hits the grοund, its final pοsitiοn s is zerο. Therefοre, we can rewrite the equatiοn as:

[tex]0 = h + ut + (1/2)at^2[/tex]

Solving for t, we get:

[tex]t = [-u\±\sqrt{(u^2 - 2ah)} ] / a[/tex]

We take the positive solution, since time cannot be negative. Substituting the values we get:

[tex]t = [ -7.30 \± \sqrt{((7.30)^2 - 2(-9.81)(2.91))} ] / (-9.81)[/tex]

[tex]t = [ -7.30 \± \sqrt{ (53.25)} ] / (-9.81)[/tex]

t ≈ 1.07 s οr t ≈ 0.31 s

The negative sοlutiοn dοesn't make physical sense in this cοntext, sο we discard it. Therefοre, the ball strikes the grοund after apprοximately 1.07 secοnds.

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Please help i’m struggling

Answers

The vertices will be D = (-3,2) E=(1,2) F=(-2,0).

What is dilatiοn?

resizing an οbject is accοmplished thrοugh a change called dilatiοn. The οbjects can be enlarged οr shrunk via dilatiοn. A shape identical tο the sοurce image is created by this transfοrmatiοn. The size οf the fοrm dοes, hοwever, differ. A dilatatiοn οught tο either extend οr cοntract the οriginal fοrm. The scale factοr is a phrase used tο describe this transitiοn.

The scale factοr is defined as the difference in size between the new and οld images. An established lοcatiοn in the plane is the center οf dilatatiοn. The dilatiοn transfοrmatiοn is determined by the scale factοr and the centre οf dilatiοn.

Here the scale factοr is 1/2

Sο the vertices will be D = (-3,2)

E=(1,2)

F=(-2,0)

Hence the vertices will be D = (-3,2) E=(1,2) F=(-2,0).

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Help please !!
The volume of a fixed amount of a gas varies directly as the temperature 7 and inversely as the pressure P. Suppose that I'-70 cm³ when 7-420 kelvin
kg
kg
and P-18-
Find the temperature when
is 60 cm and P-7
X

Answers

Answer:

420 K x (60 cm³ / 70 cm³) x (7 / 18) = 294.29 K

Step-by-step explanation:

Someone help I’ll mark BRAINLIEST

Answers

Answer:

1. c

2. b

3. B

Step-by-step explanation:

1. the hypotenuse is the longest side of the triangle.

2. think of it as the leg that helps form angle A (or forms right angle) that is NOT the hypotenuse

3. if "c" is the hypotenuse,, & b is the adjacent leg,, the opposite angle is across from the given angle which in this case is A

1.1.1 To determine how much grass seeds they will need, the caretaker measure the length and breadth of the area of the sports field. He measured the length to be 162m and the breadth 160m. Calculate the area where the grass will be planted. You may use the formula: Area of rectangle = length x breadth (2)​

Answers

Answer:

the area where the grass will be planted is 25,920 square meters.

Step-by-step explanation:

To calculate the area where the grass will be planted, we need to multiply the length and breadth of the sports field.

Area = length x breadth

Area = 162m x 160m

Area = 25,920 square meters

Therefore, the area where the grass will be planted is 25,920 square meters.

I need help PLSS. please show the method too :)

Answers

Since the distance was measured to the nearest metre, the upper bound for the distance is 101 metres.

What width is correct to the nearest cm?

1. To calculate the lower bound for Kelly's average speed, we need to divide the lower bound distance by the upper bound time. Since the distance was measured to the nearest metre, the lower bound for the distance is   [tex]99[/tex] Metres.

Since the time was measured to the nearest hundredth of a second, the upper bound for the time is  [tex]10.53[/tex] seconds. Therefore, the lower bound for Kelly's average speed is:

[tex]99/10.53 = 9.411[/tex]  metres per second (to three decimal places)

2. To calculate the upper bound for the perimeter of the regular hexagon, we need to multiply the upper bound length of a side by 6.

Since the length was measured to the nearest millimetre, the upper bound for the length is [tex]3.601 cm[/tex]  (since 3.6005 cm would round up to 3.601 cm). Therefore, the upper bound for the perimeter is:

[tex]6 x\times3.601 = 21.606 cm[/tex]   (to three decimal places)

3. To calculate the upper bound for the area of the rectangle, we need to multiply the upper bounds for the length and width. Since the length is correct to the nearest cm, the upper bound for the length is 35.5 cm (since 34.5 cm would round up to 35 cm).

Since the width is correct to the nearest cm, the upper bound for the width is 26.5 cm (since 25.5 cm would round up to 26 cm). Therefore, the upper bound for the area is:

 [tex]35.5 \times 26.5 = 942.25 cm^2[/tex] (to two decimal places)

4. To calculate the lower bound for Kelly's average speed, we need to divide the upper bound distance by the lower bound time.

Since the time was measured to the nearest hundredth of a second, the lower bound for the time is 10.51 seconds. Therefore, the lower bound

(d) To calculate the lower bound for Kelly's average speed, we need to divide the lower bound of distance by the upper bound of time.

The lower bound of distance is 99.5m (since the measurement was rounded down to the nearest metre).

The upper bound of time is 10.525s (since the measurement was rounded up to the nearest hundredth of a second).

So, the lower bound for Kelly's average speed is:

speed = distance / time [tex]= 99.5 / 10.525 = 9.45260637[/tex] ...

We need to round this to two decimal places to match the precision of the time measurement, giving us:

speed = [tex]9.45 m/s[/tex]

Therefore, the figures on the calculator display are: 99.5 ÷ 10.525 = 9.45260637... ≈ 9.45.

The length of the rectangle is measured as 645 mm correct to the nearest 5 mm. This means that the actual length could be anywhere between 642.5 mm and 647.5 mm (since rounding up or down depends on the decimal value being greater or less than 0.5 respectively).

Similarly, the width of the rectangle is measured as 400 mm correct to the nearest 5 mm. This means that the actual width could be anywhere between 397.5 mm and 402.5 mm.

5. To calculate the lower bound for the area of the rectangle, we need to find the product of the smallest possible length and width.

Smallest possible length [tex]= 642.5 mm[/tex]

Smallest possible width  [tex]= 397.5 mm[/tex]

Area = length x width

Lower bound for area = [tex]642.5 mm x 397.5 mm = 255542.5 mm²[/tex]

Rounding this off to 3 significant figures, we get the final answer as 2.56 x 10^5 mm².

Therefore, the lower bound for the area of the rectangle is [tex]2.56 x 10^5[/tex]  mm².

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Which is a feature of function g if g(x) = f(x+4) +8

Answers

The features of the given function are;

y-intercept at (0,10)

vertical asymptote of x = -4

How to find the feature of a function?

A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.” The input values make up the domain, and the output values make up the range.

The function is given as;

g(x) = f(x + 4) + 8

The domain of a function is a set of all possible input values while the range of a function is defined as a set of all possible output values.

A vertical asymptote of a graph is a vertical line x = a where the graph tends toward positive or negative infinity as the inputs approach a.

Thus, vertical asymptote is x = -4.

The he feat will be at (0, 10)

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You can compare quantities more easily using properties of exponents. For example, you can use exponent properties to compare the weights of 3,124-lb mother hippopotamus and there 125-lb baby. When else might you want to use exponent properties

Answers

Exponential property can be used in various field or place like growing or decline of population, bacteria growth/decay , compound interest any many more.

What is Exponential property?

Exponential property states that when we multiply  two power with same base we add the exponents.

                 [tex]a^{m} *b^{n } = (a*b)^{m + n}[/tex]

When we divide  two power with same base we subtract the exponents.

                  [tex]a^{m} \div b^{n} = (a \div b)^{m-n}[/tex]

When have to find the power of power we multiply the exponents.

                  [tex](a^{m} )^{n} = a^{m*n}[/tex]

Three most important use of exponential function is to calculate carbon dating of any soil, fossil foil etc, to calculate population growth , interest earn on an investment etc.

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Is -x=y proportional

Answers

Answer:

no

Step-by-step explanation:

Match the term to the correct definition.

Question 2 options:

The military alliance of the USA, Britain, France, and other countries during WWII

the front lines where combat between opposing armies occurs

Germany, Italy, Japan

ideas or statements spread to promote one side's views and present an opposing side negatively.

an economic system characterized by private or corporate ownership of capital goods
1.
Propaganda
2.
Front

3.
free enterprise system
4.
Allied Forces
5.
Axis Powers

Answers

Answer:

Propaganda: ideas or statements spread to promote one side's views and present an opposing side negatively.

Front: the front lines where combat between opposing armies occurs.

Free enterprise system: an economic system characterized by private or corporate ownership of capital goods.

Allied Forces: the military alliance of the USA, Britain, France, and other countries during WWII.

Axis Powers: Germany, Italy, Japan.

What is the approximate value of this logarithmic expression?

Answers

The approximate value of the given logarithmic expression as required to be determined in the task content is; 1.528.

What is the value of the logarithmic expression as required?

It follows from the task content; it is required that the value of the logarithmic expression is to be determined.

Therefore, we have;

let the result of the expression be x; so that we have;

log₈ (24) = x

x log (8) = log (24)

x = log (24) - log (8)

x = 1.528

Ultimately, the approximate value of the logarithmic expression in discuss is; 1.528.

Complete question: The correct expression is; log₈ (24) .

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Please help i neeeeeeeeeeed iiittt

Answers

Answer:

C.

Step-by-step:

The measure of angle A is congruent to the measure of angle P.

I have about 10 minutes pls help

Answers

In triangles ABC and PQR, the ratio of the measure of side AB and side PQ is 2 : 3 and the ratio of the measure of sides BC and QR is 2 : 3. Thus, AB/PQ = BC/QR. Also, the m∠B = m∠Q. The ratio of two pairs of corresponding sides is congruent and the included angle is equal. Hence, ΔABC  ~ ΔPQR by SAS similarity theorem.

What is SAS similarity theorem?

SAS similarity theorem is a theorem in geometry that stands for "Side-Angle-Side Similarity Theorem".

This theorem states that if two triangles have two pairs of corresponding sides that are proportional in length, and the included angles between these sides are congruent (have the same measure), then the two triangles are similar.

We can see that examining the two triangles, it is clear that it is in line with SAS similarity theorem.

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two angles in a triangle are 38 and 122.write and sole an addition equation to determine the measure of the third angle c

Answers

The measure οf the third angle c is 20 degrees.

What is triangle angle sum prοperty?

The triangle angle sum prοperty states that the sum οf the three interiοr angles οf a triangle is always equal tο 180 degrees. This prοperty hοlds true fοr all types οf triangles, whether they are acute, οbtuse, οr right-angled. The prοperty can be expressed as fοllοws:

Angle A + Angle B + Angle C = 180 degrees, where A, B, and C are the measures οf the interiοr angles οf the triangle.

38 + 122 + c = 180

Tο sοlve fοr c, we can simplify the left side οf the equatiοn:

160 + c = 180

Subtracting 160 frοm bοth sides, we get:

c = 20

Therefοre, the measure οf the third angle c is 20 degrees.


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Complete question:

Two angles in a triangle are 38° and 122°. Write the angle sum property to determine the measure of the third angle ∠c.

[Hint: Angle sum property = ∠a+ ∠b+ ∠c = 180°]

Rachel worked 36 hours last month and earned $7 per hour. She spent $15 of earnings since then. How much money does she have left?

Answers

Answer:

(36 × $7) - $15 = $252 - $15 = $237

Other Questions
Corn used to be basically no bigger than grass seed but what did humans do over 1,000 years to make it grow While shopping for clothes, jaclyn spent $37 less than 2 times what tracy spent. jaclyn spent $13. Write and solve an equation to find how much tracy spent. Let x represent how much tracy spent. A laborer wants to move crates containing bottles of olive oil from a truck to the ground by sliding them along a ramp. The ramp is 6 m long and is at an angle of 25. There is friction on the ramp for the first crate. The laborer doesnt know that there is a small leak in one of the bottles. The leak leaves a layer of oil on the ramp. The oil creates a frictionless surface for the second crate Wayne sends down the ramp. At the bottom of the ramp, the speed of the second crate (without friction) is 2. 5 the speed of the first crate (with friction). Find the coefficient of kinetic friction. Hint: this is a multistep problem that is be solved using only energy equations. Do not use kinematics or you will not receive full credit, even if your answer is correct. Use conservation of energy and start with the frictionless case. (30 pts) find the length of the missing side of the right triangle ABC. Leave your answer in simplest radical form There is only one copying machine in the student lounge of the business school. Students arrive at the rate of =50 per hour (according to a Poisson distribution). Copying takes an average of 50 seconds, or =72 per hour (according to a negative exponential distribution). a) The percentage of time the machine is used = _______ percent (round your response to the nearest wholenumber). b) The average length of the queue = _________ students(round your response to two decimal places). c) The average number of students in the system = _________ students (round your response to two decimalplaces). d) The average time spent waiting in the queue = ___________ minutes (round your response to two decimal places). e) The average time in the system = ____________ minutes(round your response to two decimal places) EconBiz has issued a bond with the following characteristics:Par: $1,000 Time to maturity: 18 years Coupon rate: 7 percentSemiannual payments Calculate the price of this bond if the YTM is:A: 5% B: Susie is three times as older as her sister Jenny. Paula is 7 years youngerthan Jenny.Write an expression in simplest form that represents the sum of their ages. Why did the democrats want to divide poor people Mary, Nick, Jane have 60$ altogether.Mary has a fourth part and Nick has a fifth.HOW MUCH MONEY DOES JANE HAVE?? A right triangle has side lengths. I will mark you brainiest!To prove a polygon is a rectangle, which of the properties listed must be included in the proof?A) All side lengths are equal.B) Diagonals are perpendicular bisectors.C) Opposite pairs of angles are supplementary.D) All interior angles are right angles. Please help I will give brainliest Work outPlease help lol its for homework thanksss Students (ages 1018) were surveyed to choose a favorite free-time activity.Which category has the lowest marginal frequency? -Middle school students who chose playing sports -High school students who chose watching movie/TV -Students that are in high school -Students who chose playing sports Complete the sentences using a passive structure.Example: The police revealed the information had been provided by a hacker.It was revealed that the information had been provided by a hacker.People think there were over 5,000 protesters present. __to have been over 5,000 protesters present.IT companies have claimed that the number of glitches in new laptops is gradually going down.__that the number of glitches in new laptops is gradually going down.People believe that the number of self-driving cars on the roads __rose sharply last year. The number of self-driving cars on the roadssharply last year.In the twentieth century, they expected humans would colonize the Moon. In the twentieth century, __humans would colonize the Moon.People say the new app provides a safe learning platform. The new app __a safe learning platform. Hello. I'd like to order 9 halves of a cupcake for my family plus some extra for my 6 friends. Theyll each want a quarter of a cupcake Consider this list of numbers: 3 4 6 7 8 9. Assuming a Linear search starts with 3, after four comparisons, which number will be checked next? A farmer notices that there is a linear relationship between the number of bean stalks, n, she plants and the yield, Y. When she plants 3 stalks, each plant yields 115 ounces of beans. When she plants 8 stalks, each plant yields 190 ounces of beans. For sending a memo in todays work environment, which is themost appropriate channel of communication?Group of answer choicesA.A formal letterB.A phone callC.An email as an attachmentD.Text me A cheetah can travels90 feet in 7 seconds. How fast is that?