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2 years ago

A packing crate measures 3 feet by 12 feet by 7 feet. what is the area of its smallest side

1 answer:

5 0

The packing crate measures 3 feet by 12 feet by 7 feet (volume). To find the area of the smallest side, multiply the two smaller numbers

3 x 7 = 21

21 feet² is the area of the smallest side

hope this helps

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5 more than x is equal to 32

Zarrin [17]

Answer:

x=27

Step-by-step explanation

"5 more than x is equal to 32" basically means that you need to subtract 5 from 32, which gives you 27.

3 0

1 year ago

Pedro has created the function f(x)= 4x-3/2 to represent the number of assingments he has completed where x represents the numbe

Law Incorporation [45]

The given function is
f(x) = 4x - 3/2
where
f(x) = number of assignments completed
x = number of weeks required to complete the assignments

We want to find f⁻¹ (30) as an estimate of the number of weeks required to complete 30 assignments.
The procedure is as follows:

1. Set y = f(x)
y = 4x - 3/2

2. Exchange x and y
x = 4y - 3/2

3. Solve for y
4y = x + 3/2
y = (x +3/2)/4

4. Set y equal to f⁻¹ (x)
f⁻¹ (x) = (x + 3/2)/4

5. Find f⁻¹ (30)
f⁻¹ (30) = (30 + 3/2)/4 = 63/8 = 8 (approxmately)

Answer:
Pedro needs about 8 weeks to complete 30 assignments.

6 0

1 year ago

The total height of the Statue of Liberty and its pedestal is 153 feet more than the height of the statue. Write and solve an eq

horsena [70]

Answer:

The height of the statue is 152 feet

Step-by-step explanation:

<u><em>The complete question is :</em></u>

The total height of the Statue of Liberty and its pedestal is 305 feet. This is 153 more than the height of the statue. Write and solve an equation to find the height h (in feet) of the statue.

Let

h ----> the height of the statue in feet

p ---> the height of the pedestal in feet

we know that

$h+p=305$ ----> equation A

$h+153=h+p$ ---> equation B

substitute equation A in equation B and solve for h

$h+153=305$

subtract 153 both sides

$h=305-153$

$h=152\ ft$

7 0

1 year ago

Linda commutes a total of 54 miles to and from work every day. She needs a new car, and good gas mileage is important to her. Sh

Alchen [17]

The answer is 1 gallon.

Miles per gallon(mpg) is computed by dividing the distance traveled by the how many gallons used. So you can derive a formula for how many gallons you would use given the mpg. You will end up with:

$gallon = \frac{miles travelled}{miles per gallon}$

The problem asks for how many gallons of gas she will safe in a five-day work work week. So first you need to compute how many miles that would be.

54 miles/day x 5days = 270 miles

So in a five day work week, she will travel 270 miles.

Now to see how much gas she will save, compute how many gallons she will use up for each car, given the mpg of each and find the difference.

First model:30 mpg

$gallons = \frac{270miles}{30mpg}$
$gallons = 9g$

This means that with the first model, she will have used up 9 gallons in a 5-day work week.

Second model: 27 mpg
$g = \frac{270mi}{27mi/g}$
$g = 10g$

This means that with the second model, she will have used up 10g in a 5-day work week.

Now for the last bit. How much will she save? You can get that by getting the difference of how many gallons each car would have used up.

10gallons - 9gallons = 1g

So she would have saved 1 gallon of gas if she buys the first car instead of the second.

8 0

1 year ago

Read 2 more answers

A company has five warehouses, only two of which have a particular product in stock. A salesperson calls the five warehouses in

Kaylis [27]

Answer: Check the attached

Step-by-step explanation:

7 0

1 year ago