Ask question

Ask question

All categories

3 years ago

15

Math 7 Review:Question 4

1 answer:

Serga [27]3 years ago

5 0

Answer: 315/15 gallons

Step-by-step explanation:

You have to divide 315 by 15

You might be interested in

Twice the difference of a number and 4 is equal to the sum of the number and 3

pickupchik [31]

The number, x, is 11

5 0

3 years ago

Read 2 more answers

10. A movie theater advertises that a family of two adults, one student, and one child between the ages of 3

BlackZzzverrR [31]

Answer:

Students ticket = $4

Child ticket = $1

Adult ticket = $5

Step-by-step explanation:

Let the price of the student ticket be $x and the price of a child ticket be $y. An adult ticket costs as much as the combined cost of a student ticket and a child ticket, so the price of one adult ticket is $(x+y).

1. A movie theater advertises that a family of two adults, one student, and one child between the ages of 3 and 8 can attend a movie for $15. Then

$2(x+y)+x+y=15$

2. If you purchase 1 adult ticket, 4 student tickets, and 2 child tickets for $23, then

$(x+y)+4x+2y=23$

Now, solve the system of two equations:

$\left\{\begin{array}{l}2(x+y)+x+y=15\\ \\(x+y)+4x+2y=23\end{array}\right.\Rightarrow \left\{\begin{array}{l}3(x+y)=15\\ \\5x+3y=23\end{array}\right.\\ \\\left\{\begin{array}{l}x+y=5\\ \\5x+3y=23\end{array}\right.\\ \\\left\{\begin{array}{l}y=5-x\\ \\5x+3(5-x)=23\end{array}\right.$

Solve the last equation

$5x+15-3x=23\\ \\2x=23-15\\ \\2x=8\\ \\x=4\\ \\y=5-x=5-4=1$

Students ticket = $4

Child ticket = $1

Adult ticket = $5

8 0

3 years ago

Read 2 more answers

A sporting goods store buys a basketball for $10.00 and then adds a 110% markup to the price. How much will the basketball sell

sweet-ann [11.9K]

Answer: The basketball will sell for $21 .

Step-by-step explanation:

Hi, to answer this question, first, we have to multiply the cost of the basketball (10) by the percent markup in decimal form (divided by 100).

Mathematically speaking:

10 x (110/100) = $11

Now, we have to add the markup amount (11) to the cost (10) to obtain the selling price:

10 +11 = $21

The basketball will sell for $21 .

3 0

3 years ago

Read 2 more answers

Will mark brainly<br> Angles Test

Elina [12.6K]

Answer:

B.

Step-by-step explanation:

complantary angles add up to 90 degrees so 90-24 is 66

5 0

3 years ago

Read 2 more answers

The graph of f(x)=2^x+1 passes through the points (-1 , 1) and (3 , 16).

Svetach [21]

Answer:

Please check the explanation.

Step-by-step explanation:

Rebecca's ERROR

Rebecca wrongly used the formula to calculate the average rate of change from x = -1 to x = 3.

She should have used the correct formula to calculate the average rate of change from x = -1 to x = 3 which is:

Average rate = [f(3) - f(-1)] / [3 - (-1)]

But, she reversed the formula.

The correct solution

Considering the graph

$f\left(x\right)=2^x+1$

Rebecca wants to find the average rate of change from x = -1 to x = 3.

so

at x₁ = -1

$f\left(-1\right)\:=\:2^{-1}+1=\frac{1}{2}+1=\frac{3}{2}$

at x₂ = 3

$f\left(3\right)\:=\:2^3+1=8+1=9$

Using the formula, we can determine the average rate of change from x = -1 to x = 3

Average rate = [f(3) - f(-1)] / [ x₂ - x₁]

$=\:\frac{\left[9\:-\:\frac{3}{2}\right]}{\left[3-\left(-1\right)\right]}$

$=\frac{\frac{15}{2}}{4}$

$=\frac{15}{8}$

Therefore, the average rate of change from x = -1 to x = 3 will be:

Average rate = 15/8

3 0

3 years ago