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yaroslaw [1]
3 years ago
8

How many gallons of a 70% antifreeze solution must be mixed with 60 gallons of 25% antifreeze to get a mixture that is 60% antif

reeze?
Mathematics
1 answer:
Arisa [49]3 years ago
5 0

I’m so so sorry I don’t know though
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James drives 585 miles from Raleigh to Cleveland Ohio on Friday and back on Sunday.If the trip takes him 18 hours total how many
creativ13 [48]

if Raleigh to Cleveland = 585 miles then Cleveland to Raleigh = 585 miles

585 miles + 585 miles = 1170 miles

1170 miles / 18 hours = 65 miles / hour

James drove 65 miles per hour.

4 0
3 years ago
Jordan solved the equation −7x + 25 = 48; his work is shown below. Identify the error and where it was made.
fenix001 [56]

Answer:

step 3: he should have divided both sides by -7

8 0
3 years ago
What is the volume of a square pyramid with a base length of 6cm and a height of 9cm?
emmainna [20.7K]
Answer:
Volume = 108 cm ³

Explanation:
For a square pyramid, the volume can be calculated as follows:
Volume = \frac{1}{3} * area of base * height
Volume = \frac{1}{3} * side² * height
We have:
side length = 6 cm
height = 9 cm
Therefore:
Volume = \frac{1}{3} * 36 * 9 = 108 cm ³

Hope this helps :)
8 0
3 years ago
Charlie's garage has a rectangular floor space. Its length is 3 times its width. Charlie extends the width of his garage to 6 m,
MAXImum [283]

Answer:

The percentage change is 140%

Step-by-step explanation:

Given

L= 3W_1 ---- initial dimension

W_2 = 6m --- new width

A_2 = 45m^2 --- new dimension

Required

The percentage increment

The length remains constant because only the width is extended.

The new area is:

Area =Length * Width

A_2=L * W_2

Make L the subject

L = \frac{A_2}{ W_2}

Substitute values for A and W

L = \frac{45m^2}{6m}

L = \frac{45m}{6}

L = 7.5m --- this is the length of the garden

Calculate the initial width:

L= 3W_1

Make W1 the subject

W_1 = \frac{1}{3} * L

W_1 = \frac{1}{3} * 7.5

W_1 = 2.5

So, the initial area is:

A_1 = L_1 * W_1

A_1 = 2.5 * 7.5

A_1 = 18.75

The percentage change in area is:

\%A = \frac{A_2 - A_1}{A_1}

\%A = \frac{45 - 18.75}{18.75}

\%A = \frac{26.25}{18.75}

\%A = 1.4

Express as percentage

\%A = 1.4*100\%

\%A = 140\%

4 0
3 years ago
Is there a triangle that one side of length 4 inches , one side of length 2 inches and one side of length 1 in? Explain
rewona [7]

According to the Triangle inequality theorem, this does not work

For a triangle to be valid, the length of any two sides added together must by greater than the length than the third side.


In this example, we can see that the side with length 1 added to the side with length 2 is equal to 3inches.

3 inches is less that 4inches (the length of the 3rd side). So that triangle does not work.

--------------------------------------------------------

Answer

This triangle does not work, because the sum of the lengths of any two sides of a triangle is  <u>NOT</u>  greater than the length of the third side.

3 0
3 years ago
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