Answer:
x = 2/3
Step-by-step explanation:
cross multiply
-9(x-4) = 10(3x+1)
and then solve the equation
-9x + 36 = 30x + 10
36 = 39x + 10
26 = 39x
x = 2/3
There are 13 guests at Morgan's party. If each guest will be served exactly \tfrac{4}{5} 5 4 pint of ice cream, how many pints of ice cream will she need? Express your answer in simplest form.
Multiply number pf people by amount they are having:
13 people x 4/5 pint = (13 x 4)/5 = 52/5 = 10 2/5 pints.
They need 10 2/5 pints total. ( Simplest form)
Since you can't buy a fraction of a pint, they would actually need to buy 11 pints
On a number line what number represents the point half the distance between A and B?
Answer:
A: -4
Step-by-step explanation:
Math.
Answer:
A. -4
Step-by-step explanation:
Solve the trigonometric equation for all values 0 < x < 2pi
sec x – 1= 0
Answer: x= pi
Step-by-step explanation:
Mrs. Cervantes wants to paint her windmill. It has six sides, each of which is 3.5 feet wide by 11 feet tall. How many square feet does she need to paint?
Answer:
231 ft²
Step-by-step explanation:
Given that :
Dimension of each side = 3.5 feets by 11 feets
Area of each side :
Length * width = (3.5 * 11) feets = 38.5 ft²
Number of sides = 6
Hence, number of square feets to paint :
Number of sides * area of each side :
6 * 38.5 ft²
= 231 ft²
Anyone want to help me with this? I will mark brainliest and thanks
Answer:
x = -8
m∠BDC = 68°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
Definition of a Line: A line is 180°Step-by-step explanation:
Step 1: Set up Equation
m∠BDC + m∠CDA = 180°
(-7x + 12)° + (-8x + 48)° = 180°
Step 2: Solve for x
Combine like terms: -15x + 60 = 180Isolate x term: -15x = 120Isolate x: x = -8Step 3: Find m∠BDC
Define: m∠BDC = (-7x + 12)°Substitute in x: m∠BDC = (-7(-8) + 12)°Multiply: m∠BDC = (56 + 12)°Add: m∠BDC = 68°At Leslie's school, the ratio of boys to girls is 11 to 12. At Mark's school, the ratio of boys to girls is 41 to 48. If both schools have the same total
number of students, which statement about the number of boys at Mark's and Leslie's schools is true?
A There are more boys at Mark's school than at Leslie's school because the ratio 11 to 12 is greater than the ratio 41 to 48.
B. There are more boys at Mark's school than at Leslie's school because the ratio 41 to 48 is greater than the ratio 11 to 12.
C. There are more boys at Leslie's school than at Mark's school because the ratio 41 to 48 is greater than the ratio 11 to 12.
There are more have at lectia's chinoithan at Marvis erhont harnuce the ratio 11 to 17 i nreater than the ratin 41 m GR
Copyright 2020 illuminate Education, Inc. All Rights R
TI
INTL
САД
Answer:
ITS A
Step-by-step explanation:
Which if the following is the factored form of x² + 12x - 32
(A) (x - 8) (x + 4)
(B) (X + 8) (x + 4)
(C) Prime
(D) (X + 8) (x-4)
Answer:
C) Prime
Step-by-step explanation:
x^2+12x-32
factor out the trinomial,
find two numbers that when they multiply,
you get the third term, which is -32,
when you add them,
you get the second term, which is 12.
Which is the BEST estimate of the average rate of change for the function graphed, over the interval 1 sxs 3?
es)
A)
-2
B)
-3
D)
-6
Answer: -3
Step-by-step explanation: just multiply
The best estimate of the average rate of change for the function graphed over the interval 1 ≤ x ≤ 3 is 3.
What is Average Rate of Change of a Function?Average rate of change of a function is defined as the rate at which the value of the function is changing with respect to the change in the input values.
The interval given is 1 ≤ x ≤ 3.
The graph of the function is given below.
It can be clearly seen that,
The y value corresponding to x = 1 is y = f(1) = 2.
So one point on the graph is (1, 2).
The y value corresponding to x = 3 is y = f(3) = 8.
So the other point on the graph is (3, 8).
Average rate of change over 1 ≤ x ≤ 3 = [f(3) - f(1)] / [3 - 1]
= [8 - 2] / [2]
= 6/2
= 3
Hence the best estimate for the average rate of change of function over the interval 1 ≤ x ≤ 3 is 3.
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Can someone help me what is the answer
Answer:
y = 4x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (0, 3)
m = [tex]\frac{3+1}{0+1}[/tex] = [tex]\frac{4}{1}[/tex] = 4
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = 4x + 3 ← equation of line
A recipe for salad dressing calls for 3 tablespoons of oil for every 2 tablespoons of vinegar. The line represents the relationship between the amount of oil and the amount of vinegar needed to make salad dressing according to this recipe. The point ( 1, 1.5) is on the line.
a. Label the axes appropriately with the quantities they represent.
· b. Write an equation that represents the proportional relationship between oil and vinegar. Indicate the meaning of each variable.
Equation: ___________________________________________________________ ·c. Explain the meaning of the point (1, 1.5) in terms of the situation.
Explanation: __________________________________________________________
What's B and C?? Please help.
a.(answer):
Y represents table spoons in oil and the X represents the table spoons in vinegar.
b.(answer):
oil needed is one(1) tablespoon the amount of vinegar used is 1.5 tablespoons to make the salad dressing the correct and for it to be proportional.
linear equation
y = 3/2x
c.(answer)
For every 1 tablespoon of vinegar there is 1.5 table spoons of oil X=1,Y=1.5.
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a copy machine can print 810 copies every 9 minutes. A laser printer printed 1,350 copies. How long did it take to print?
Answer:
15
Step-by-step explanation: You would think 15. 810 copies every 9, minutes. Nine divided by 810 equals 90. 90 copies every minute. 1,350 divided by 90 is fifteen. =fifteen.
Solve -2a - 5>3
Which graph shows the solutions?
-4>3
Step-by-step explanation:
Answer:
First line
Step-by-step explanation:
Isolating 2a is the first step, so adding 5 to each side. That leaves -2a > 8. Divide both sides by -2, and because it's a negative, you flip the sign. so you get a < -4
The cost of one pound of bananas is greater than $0.41 and less than $0.50. Sarah pays $3.40 for x pounds of bananas. Which inequality represents the range of possible pounds purchased? 0.41 < 0.41 less than StartFraction 3.40 over x EndFraction less than 0.50. < 0.50 0.41 < 0.41 less than StartFraction x over 3.40 EndFraction less than 0.50. < 0.50 0.41 < 3.40x < 0.50 0.41 < 3.40 + x < 0.50
Answer:
0.41 x < 3.40 < 0.50 x
If there is a whole number of pounds it could be: x = 8 pounds
0.41 * 8 = 3.28, 0.50 * 8 = 4
3.28 < 3.40 < 4
Answer:
Inequality is
0.41 x < 3.40 < 0.50 x
Step-by-step explanation:
Find the slope of: A(-2,-4), B(2, 4) *
Answer:
2/1
Step-by-step explanation:
Follow the formula: (y2 - y1) / (x2 - x1). So 4-(-4) and 2-(-2). A negative and a negative equal a positive so 8/4. Then simplify. Which gives you 2/1. Hope this helps.
Mrs. Green has to buy enough candy canes for every student in her school to each get one. Candy canes are sold 10 to a box for $3 a box. There are 7 teams in the school, and each team has between 93 and 116 students. a. Is this situation discrete or continuous? How do you know? b. What is the domain and range? (Really think about what you are collecting data on in this question)
Answer:
a. The situation is discrete for the domain and continuous for the range.
b. i. 651 ≤ x ≤ 812. ii. $ 195.3 ≤ x ≤ $ 243.6.
Step-by-step explanation:
a. This is because we can only have a whole number of students which in turn leads to a whole number of candies. Also, since the cost of each candy box is $ 3/10 = $ 0.3, it is a real number. So, the total cost of candy will also be a real number. Thus, the situation is discrete for the domain and continuous for the range.
b. i. Let x be the number of students which also equals number of candies to be bought. Since there are 7 teams and between 93 and 116 students per team, the minimum number of students is 93 × 7 = 651 and the maximum number of students is 116 × 7 = 812. So, the domain, the number of candies is 651 ≤ x ≤ 812.
ii. The range of the function is the cost of the candies. Since the cost of the candies is $ 3 per box and there are 10 per box, each candy costs $ 3/10 = $ 0.3. So the total cost of candies C = cost per candy × number of students = $0.3x.
So, the range of the candies is the minimum and maximum values of students times $ 0.3. So, 651 × $ 0.3 ≤ x ≤ 812 × $ 0.3 = $ 195.3 ≤ x ≤ $ 243.6
NEED HELP!! what are the coordinates of point j?
Answer:
(7,4)
Step-by-step explanation:
alex took a cab in new york city . the cabdriver charged $3.00 to ride in his cab and $1.50 per mile that he rode in the cab . if he spend $12 , how many did he ride in the cab ?
Answer
8 miles
Step-by-step explanation:
12 divided by 1.50 = 8
Which expression is equivalent to (m^2-3m+7)(m-5)^-1
Answer:
a
Step-by-step explanation:
Jimmy wants a burger. It is $30 but he has a coupon for 10% off. How much does he spend?
Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 3(m∠Y) − 130°. Find m∠Y.
Round 87,365,219 to the nearest million
Answer:
87,000,000
Step-by-step explanation:
The millionths place in 87,365,219 starts at 7.
87,365,219
The rhyme that I learned for this when I was younger was: 5 and above give it a shove, 4 or below, let it go.
The number 3 after the 7 is less than five so you would have to let it go. So, everything after 7 would become zeros and you would not round 7 up.
Your final answer becomes 87 million
Hope this helps! :)
After rounding 87,365,219 to the nearest million, the number is 87000000.
Rounding number to the nearest millionFocus on the digit in the next position to the right for rounding a number to the nearest million. If the number is 5, round up and if the number is 4 or less than 4, round down.
How to round the given number to the nearest million?Consider the following figure.
The hundred thousand place number is 3 which is less than 4.
Thus, round down to 87000000.
Therefore, after rounding 87,365,219 to the nearest million, the number is 87000000.
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Please help pass my final :(
Answer:
if ∠1 = 70°, then ∠5= 70°
Hence, option (A) is correct.
Step-by-step explanation:
Given
∠1 = 70°
To determine
We need to determine angle ∠5
From the diagram, it is clear that a transversal line crosses the two parallel lines, the angles in the matching corner would be corresponding angles.
We know that when two lines are parallel, their corresponding angles are equal.As angle ∠5 is the corresponding angle of angle ∠1 = 70°.
Also, the corresponding angles are equal here.Therefore,
if ∠1 = 70°, then ∠5= 70°
Hence, option (A) is correct.
Althea traveled 280 miles at a speed of 70 miles/hour. How much time did she take to cover this distance?
An item is regularly priced at $81. It is on sale for 45% off the regular price. Find the sale price.
Answer:
44.55
Step-by-step explanation:
Internet said this: "Thus, a product that normally costs $ 81 with a 45 percent discount will cost you $ 44.55, and you saved $ 36.45. You can also calculate how much you save by simply moving the period in 45.00 percent two spaces to the left, and then multiply the result by $ 81 as follows: $ 81 x. 45 = $ 36.45 savings."
Hope this helps∞<3
Let me know if it right or wrong!
Answer: $44.55
Step-by-step explanation:
$81*.45=36.46
$81-$36.45= $44.55
Enter the equation of the line in slope-intercept form. Enter the answer in fraction form.
The line perpendicular to y =
5
3
x + 8 that passes through (5, −1).
The equation of the line that passes through (5, −1) is y = .
Answer:
25
Step-by-step explanation: this is because you have a negative
The graph below shows the relationship between the amount of peanuts and the amount of chocolate in different packages of snack mix for each ounce of peanuts? A.1/2 B.2/3 C.3/4 D.3/2 please i need answers !!!!
Answer:
Option (B)
Step-by-step explanation:
Since the linear graph is passing through the origin, there is a proportional relationship between the amount of chocolate (C) and amount of peanuts (P) used in the package of snacks mix,
P ∝ C
P = kC
k = [tex]\frac{P}{C}[/tex]
Here k = proportionality constant
Since, the given line passes through a point (3, 2),
k = [tex]\frac{2}{3}[/tex]
Therefore, ratio of chocolate and peanuts mixed is [tex]\frac{2}{3}[/tex].
Option (B) is the correct option.
What is the solution to the system of linear equations graphed below?
Will give BRAINLEST
Answer:
C.
Step-by-step explanation:
Your answer is C because that is where the lines meet.
Answer:
it 1/2,4
Step-by-step explanation:
HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLP! what x-45 divided by 17 if x=98?
Answer:
98-45/17=3.11
Step-by-step explanation:
Thanks for the points
A department store is offering the same percentage discount on all of their shoes. Suppose one pair of shoes is marked down from $70 to $49. Based on that percentage discount, what would the new price be for a pair of shoes that originally cost $100?
MIDDLE SCHOOL QUESTION
In addition to the grains listed above, the recipe also
includes 11 cups of dried fruit. Show how to find the
amount of dried fruit needed if you use 3 cups of oats.