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Annette [7]
3 years ago
14

During the first hour of a snowstorm, 1 and 1/2 inches of snow fell. In the next hour, 4 and 3/8 inches fell. In the third hour,

the snow stopped and 7/8 of an inch of snow melted. How much snow was on the ground at the end of the third hour?
Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
7 0
1 + 4 = 5
4/8 +3/8 = 7/8
5 7/8 - 7/8 = 5 inches left on the ground after 3 hours
IRISSAK [1]3 years ago
7 0

Answer:

After 3 hours amount of snow on the ground will be 5 inches.

Step-by-step explanation:

In the first hour of a snowstorm, amount of snow fell = 1\frac{1}{2} inches

≈ \frac{3}{2} inches

In the next hour, amount of snow fell = 4\frac{3}{8} inches

≈ \frac{35}{8} inches

In the third hour, snow stopped and melted = \frac{7}{8} inches

Total amount of snow on the ground after three hours

= \frac{3}{2}+\frac{35}{8}-\frac{7}{8}

= \frac{12+35-7}{8}

= \frac{40}{8}

= 5 inches

After 3 hours amount of snow on the ground will be 5 inches.

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If the area of a square with side x is equal to the area of a triangle with base x, then find the altitude of the triangle.
zhannawk [14.2K]

Answer:

h= 2x

Step-by-step explanation:

Given

Square

Side = x

Triangle

Base = x

Altitude = h

Required

Find h, if both shapes have the same area

The area of the square is:

Area = x * x

Area = x^2

The area of the triangle is:

Area = \frac{1}{2} * Base*Height

Area = \frac{1}{2} * x*h

Equate both areas

x^2 = \frac{1}{2} * x*h

Divide both sides by x

x = \frac{1}{2} *h

Multiply both sides by 2

2*x = \frac{1}{2} *h*2

2x = h

h= 2x

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3 years ago
Which is bigger, 7/8 or 9/10
Nonamiya [84]
9/10 is the answer. 7/8 is 70/80 and 9/10 is 72/80
7 0
4 years ago
One positive integer is 5 times another positive integer and their product is 320. What are the positive integers?​
seropon [69]

Answer:

The integers are (x, y) = (40, 8).

Step-by-step explanation:

x = 5y

xy = 320

Substitute the first equation into the second equation.

(5y)(y) = 320

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y^2 = 64

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The integers are (x, y) = (40, 8).

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3 years ago
Translate the phrase into a math expression. 30 added to a number that is decreased by 5
grin007 [14]
If you want to translate the phrase 30 added to a number that is decreased by 5 into a math expression, you can do it like this:

a number ... n
30 added ... + 30
decreased by 5 ... - 5

Now you just have to put this together: n + 30 - 5 or n - 5 + 30. So, the correct result is a.

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Step-by-step explanation:

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