MATHEMATICS MIDDLE SCHOOL

Tony bought a flat-rate box from the post office to send a gift to his mother for Mother’s Day. The dimensions of the medium-size box are 14 inches × 12 inches × 3.5 inches. What is the volume of the largest gift he can send to his mother?

Answers

Answer 1

Answer:

Answer:

maximum volume of box is 588 cubic inches

Step-by-step explanation:

given data

dimensions box = 14 inches × 12 inches × 3.5 inches

to find out

volume of box

solution

we consider here box dimensions are

length l = 14 inches

width w = 12 inches

and height h = 3.5 inches

apply volume formula that is = l × w × h .....................1

put here value we get

volume = l × w × h

volume = 14 × 12 × 3.5

volume = 588 in³

so maximum volume of box is 588 cubic inches

Answer 2

Answer:

Answer:

588

Step-by-step explanation:

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Answers

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At a movie theatre, the price of 2 adult tickets and 4 child tickets is $48. The price of 5 adult tickets and 2 child tickets is $64. What is the price for one child and one adult ticket. This is my last question please help :)

Answers

The ticket for an adult costs $10 and the ticket for a child costs $7

Let adults tickets be a

Let children tickets be c

Based on the information given, the equation to solve the question will be:

2a + 4c = 48

5a + 2c = 64

Multiply equation i by 5

Multiply equation ii by 2

10a + 20c = 240

10a + 4c = 128

Subtract the equations

16c = 112

c = 112/16

c = 7

The ticket for a child is $7

Since 2a + 4c = 48

2a + 4(7) = 48

2a + 28 = 48

2a = 48 - 28

2a = 20

a = 20/2

a = 10

The ticket for an adult cost $10

Read related link on:

brainly.com/question/24884103

Answer:

The price for one adult is $10 while the price for one child is $7

Step-by-step explanation:

Let

price for an adult = a

price for a child = b

2a + 4b = 48.............(i)

5a + 2b = 64.............(ii)

make a subject of the formula in equation (i)

2a = 48 - 4b

divide through by 2

a = 24 - 2b

Insert the value of a in equation (ii)

5(24 - 2b) + 2b = 64

120 - 10b + 2b = 64

collect like terms

- 8b = 64 - 120

-8b = -56

divide both sides by -8

b = 7

insert the value of b in equation(i)

2a + 4(7) = 48

2a + 28 = 48

2a = 48 - 28

2a = 20

divide both sides by 2

a = 10

The price for one adult is $10 while the price for one child is $7

Solve this equation. 4h + 6 =30

Answers

first you subtract 6 from both sides to get:
4h=24
Then divide by 4:
h=6
With these problems, use the steps of either
PEDMAS, or Please Excuse My Dear Aunt Sally.

the P stands for Parenthesis, the E for exponents, the M for multiplication, the D for division, the A for addition, and the S for subtraction

The solution to the equation 4h + 6 = 30 is h = 6.

We have,

To solve the equation 4h + 6 = 30, we need to isolate the variable h.

First, we can subtract 6 from both sides of the equation:

4h + 6 - 6 = 30 - 6

4h = 24

Next, we divide both sides of the equation by 4 to solve for h:

4h/4 = 24/4

h = 6

Therefore,

The solution to the equation 4h + 6 = 30 is h = 6.

Learn more about equations here: