The equation below describes a proportional relationship between x and y. What is the constant of proportionality? y = 2/9x

Answer:

$248.98

Step-by-step explanation:

200 + 30 = 230.

8.25% of 230 is 18.975, rounded to $18.98.

230 + 18.98 = 248.98.

Answer:

all answers are true I think

Answer:

Jack earns $37

Mark earns $21

Step-by-step explanation:

m + j = 58

11m + 10j = 601

j = 58 - m

11m + 10(58 - m) = 601

11m + 580 - 10m = 601

1m = 601 - 580

m = 21

j = 58 - m

j = 58 - 21

j = 37

Answer:

one solution

Step-by-step explanation:

Given the equations

1/4x + 1 1/2y =5/8 ..... 1

3/4x - 1 1/2y =3 3/8 ..... 2

Get the value of x

Add both equations

1/4x + 3/4x = 5/8+3 3/8

4x/4 = 5/8+27/8

x = 32/8

x= 4

Substitute x = 4 into equation 1

From 1;

1/4x + 1 1/2y =5/8 .

1/4(4) + 3/2 y = 5/8

1 + 3/2 y = 5/8

3/2 y = 5/8 - 1

3/2 y = -3/8

Cross multiply

24y = -6

y = -6/24

y = -1/4

Hence the solution {x,y) is (4, -1/4)

The system has only one solution

Answer:

Step-by-step explanation:

the answer is 100

Answer:72

Step-by-step explanation:

Answer: (0,4)

Step-by-step explanation:

Answer:

Do you have insta cus if u do follow _l.bartlett

Step-by-step explanation:

1. x<-3

2. z[tex]\leq[/tex] -5

3. y<2

4. 3 [tex]\leq[/tex]x<7

Answer: The probability is  32/81, or  0.395 in decimal form

Step-by-step explanation:

Each question has 3 answers.

one of the answers is correct, and 2 are incorrect.

Then the probability of selecting at random the correct answer, is equal to the quotient between the number of correct answers and the total number of answers, this is:

p = 1/3.

Then the probability of answering wrong is:

q = 1 - 1/3 = 2/3.

Now, we want to find the probability of answering exactly one question correctly.

Let's suppose that Ellen answers correctly the first question, and incorrectly the other 3.

then we have the probability 1/3 one time, and the probability 2/3 3 times.

And as we know, the joint probability will be equal to the product of the individual probabilities, this is:

P = (1/3)*(2/3)*(2/3)*(2/3).

But this is for the case where only the first one is answered correctly, we also have the cases where:

the 2nd is the only one answered correctly

the 3rd is the only one answered correctly

the 4th is the only one answered correctly.

Then we have 4 permutations, which means that the actual probability of answering only on question correctly is:

P' = 4*P = 4*(1/3)*(2/3)*(2/3)*(2/3) = (4*2*2*2)/(3*3*3*3) = 32/81 = 0.395

Answer:

0

1

sin

3

3

Step-by-step explanation:

These are the answers in order from every blank

The value of cos(π/2) is 0 sinπ/2 is 1 further sinx = √3/2 thus x = π/3,2π/3.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.

As per the given trigonometric equation,

cos(x)cosπ/2 + sin(x)sinπ/2 = √3/2

Since, cosπ/2 = 0 and sinπ/2 = 1

cos(x)(0)+ sin(x)(1) = √3/2

sinx = √3/2

sinx = sin π/3 = sin 2π/3.

Hence "The value of cos(π/2) is 0 sinπ/2 is 1 further sinx = √3/2 thus x = π/3,2π/3".

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Answer:

September

December

May and December

Step-by-step explanation:

I am not sure about the last one

Answer:

C. the organization of parts into a whole pattern

Step-by-step explanation:

Answer:

Combine Like Terms:

=1728+−9x^2+−4x+3

=(−9x^2)+(−4x)+(1728+3)

= −9x^2+−4x+1731

Answer:

4,9

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

Answer:

D, 10.

Step-by-step explanation:

10+8=18 4/3x18=24

Answer:

31

Step-by-step explanation:

x+24+4x+1=180

5x+25=180

5x=155

x=155/5=31

The amount of the school supply kit after the discounted price is $ 20

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of the school supply kit be A

The value of A is $ 25

The percentage discount of the school supply kit = 20 %

So , the value of the percentage amount is given by the equation

The cost of the school supply kit after discount = ( amount of the school supply kit - ( percentage discount of the school supply kit x amount of the school supply kit ) )

Substituting the values in the equation , we get

The cost of the school supply kit after discount = 25 - ( 20/100 x 25 )

The cost of the school supply kit after discount = 25 - ( 25 x 0.2 )

The cost of the school supply kit after discount = 25 - 5

The cost of the school supply kit after discount = $ 20

Therefore , the discounted price is $ 20

Hence ,

The amount of the school supply kit after the discounted price is $ 20

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Answer:

Positive number

Step-by-step explanation:

Given that:

Lucinda is saving money for a hot-air balloon trip to celebrate her graduation and she needs $300 dollars.

Let x be the amount of her savings and she needs $300

SO;

x  + 300 = 0

As an integer, it is represented by a positive number because she needs this amount of money in addition to what she already saved.

The slope of the line [tex]\overline{AB}[/tex] is the rate at which the line rises at a point.

Reasons:

The slope of a line is given by the ratio of the rise to the run of the line

The coordinates of point A = (-9, -4)

The coordinates of point B = (-5, 6)

The rise of the line [tex]\overline{AB}[/tex] = The difference in the y-values = (6 - (-4)) = 10

The run of the line [tex]\overline{AB}[/tex] = The difference in the x-values = (-5 - (-9)) = 4

[tex]Slope \ of \ \overline{AB}= \dfrac{Rise \ of \ line \ \overline{AB}}{Run \ of \ line \ \overline{AB}}[/tex]

Therefore

[tex]Slope \ of \ \overline{AB}= \dfrac{10}{4} = \dfrac{5}{2}[/tex]

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550 47/100 miles per hour.

Answer:

550.47

Step-by-step explanation:

3669 4/5 ÷ 6 2/3 = 550.47

Hope this helps:)

Answer: La cuenta de Milla ganaría $63 más que la cuenta de Gion después de 1 año.

Answer:

83.33 milligrams

Step-by-step explanation:

The equation, [tex] 18x = 1500 [/tex] represents the total dosage of antibiotics to be given to the patient in relation to the hours.

Thus, the each dosage = x.

Let's solve for x

[tex] 18x = 1500 [/tex]

Divide both sides by 18

[tex] \frac{18x}{18} = \frac{1500}{18} [/tex]

[tex] x = 83.33 milligrams [/tex] (nearest hundredth)

Answer:

[tex]x = \frac{5 + \sqrt{53}}{2}[/tex]  or  [tex]x = \frac{5 - \sqrt{53}}{2}[/tex]

Step-by-step explanation:

Given

[tex]x^2 - 5x - 7 = 0[/tex]

Required

Solve for x using:

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

First, we need to identify a, b and c

The general form of a quadratic equation is:

[tex]ax^2 + bx + c = 0[/tex]

So, by comparison with [tex]x^2 - 5x - 7 = 0[/tex]

[tex]a = 1[/tex]     [tex]b = -5[/tex]      [tex]c = -7[/tex]

Substitute these values of a, b and c in

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}[/tex]

[tex]x = \frac{5 \± \sqrt{25 +28}}{2}[/tex]

[tex]x = \frac{5 \± \sqrt{53}}{2}[/tex]

Split the expression to two

[tex]x = \frac{5 + \sqrt{53}}{2}[/tex]  or  [tex]x = \frac{5 - \sqrt{53}}{2}[/tex]

To solve further in decimal form, we have

[tex]x = \frac{5 + 7.28}{2}[/tex]  or  [tex]x = \frac{5 - 7.28}{2}[/tex]

[tex]x = \frac{12.28}{2}[/tex]  or  [tex]x = \frac{-2.28}{2}[/tex]

[tex]x = 6.14[/tex] or [tex]x = -1.14[/tex]

Answer:

10 cups in total.

Step-by-step explanation:

4.8+5.2= 10.00

add the .2 to the 4.8 you get get 5 then add 5.0+5.0

Answer: The expression is 5.5x + 9  for the perimeter of the triangle described.

Step-by-step explanation: Add the three lengths given to find the perimeter.

 0.3x + 24,

+ 5x,

+ 0.2x - 15   Combine like terms

=5.5x +  9

Answer:

The perimeter is the sum of all sides.

Step-by-step explanation:

Answer:

x < 15

Step-by-step explanation:

we want to isolate x, so we get rid of the 3, that is being divided by 2x, we take it to the other side to multiply.

2x < 10 x 3

2x < 30

we move the 2 that is multiplying x to the other side, since it was multiplying, we make inverse operations and now the 2 will divide 30

x < 30 ÷ 2

x < 15

Answer:

x=15 or false

Step-by-step explanation:

In order to find x you have to get the x by itself. To do this you multiply 3 on both sides this gives you 2x<30. Then you divide by 2, this gives you x=15. Then in order to find whether or not the inequality is true you have to plug x back in. 2(15)/3<10 is equal to 30/3=10 which leads to 10<10, which is false.

Answer:

22.5 miles

Step-by-step explanation:

15 miles every hour, and there is 1.5 hours, so cut 15 in half, 7.5 and add that the 15

9514 1404 393

Answer:

  $500

Step-by-step explanation:

The greatest rental time is 5 hours, which is 10 half-hours. The value of C for h=10 is ...

  C = 45·10 +50 = 450 +50 = 500

The greatest value in the range for this situation is $500.