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skelet666 [1.2K]

3 years ago

14

I have to build a box for my scouting project with a volume of 36 cubic centimeters. The base of the box is 6 cm long and 2 cm w

ide. How high should I build the box?

1 answer:

Yakvenalex [24]3 years ago

8 0

You should build your box 3 centimeters high.

Volume = Length x Width x Heigh

36 = 6 . 2 . X
36/6 = 2X
6= 2X
6/2 = X
3 = X

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How to solve this. I am very confused.

sergiy2304 [10]

To solve, we will need to plug in -5 for x in both instances.

|-5 + 2| / -5 + 2

|-3| / -3

Now, these absolute value bars may be a bit puzzling. What we have to do is take the absolute value of the number inside of the brackets. Meaning, that if the number is negative, we make it positive, and if the number is positive, then it stays positive.

3 / -3

-1

Hope this helps!! :)

6 0

3 years ago

Read 2 more answers

A car trip from New York to Cincinnati took 12.5 hours. The return trip by the same route took 1 hour longer because the average

zhenek [66]

A car trip from New York to Cincinnati took 12.5 hours. The return trip by the same route took 1 hour longer.

Let x be the speed of the car

Car trip from New York to Cincinnati

We know Distance D = speed * time

time = 12.5 hours and speed =x

D = 12.5x

Return trip

The return trip by the same route took 1 hour longer. So 12.5+1 = 13.5 hours

he average rate of speed was 4 mph less. So speed is x-4

Distance D = speed * time

time = 13.5 hours and speed =x-4

D = (x-4)*13.5

D= 13.5x-54

The distance of ongoing trip and return trip are same

So we equate both the distance equations D= 13.5x-54 and D= 12.5x

12.5x = 13.5x-54

Subtract 13.5 on both sides

-1x = -54

x=54

speed of ongoing trip = 54 miles per hour

Distance D = 12.5x = 12.5 * 54=675 miles

The length of the route = 675 miles

4 0

3 years ago

Oliver has music lessons in Monday Wednesday and Friday.Each lesson is 3/4 of an hour Oliver says he will have lessons for three

Hoochie [10]

Oliver is incorrect because if he were correct he would learn for 2 hours and 15 minutes because, 45 minutes * 3= 2:15 minutes.

4 0

3 years ago

The average annual salary for a teacher nationally is $58,353. This is projected to increase 2% per year for the next 4 years. W

mario62 [17]

Answer:

$\$63,163.16$

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

$y=a(1+r)^x$

where

y is the average annual salary

x is the number of years

r is the rate of change

a is the initial value

In this problem we have

$a=58,353\\r=2\%=2/100=0.02$

substitute

$y=58,353(1+0.02)^x$

$y=58,353(1.02)^x$

For x=4 years

$y=58,353(1.02)^4=\$63,163.16$

4 0

3 years ago

Estimate the difference: 3 2/5 - 5/8

svet-max [94.6K]

Answer: 3

Step-by-step explanation: Half of 5 is 2.5 so 3 2/5 will be estimated to a 3 1/2 and 5/8 is very close to 4 which is half of 8. so 5/8 will be estimated to 1/2! Both of them subtracted is gonna be 3 because 1/2 - 1/2 is 0!

Have a great day!

5 0

3 years ago