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Hunter-Best [27]
2 years ago
13

25 points if you do it and favorite. On Saturday it rained 2 1/4 inches in 18 hours. Assume the rain fell at the same rate throu

ghout the storm. How many inches of rain fell per hour?
Mathematics
1 answer:
slava [35]2 years ago
5 0

Answer:

0.125 inches per hour

Step-by-step explanation:

2.25/18 = 0.125

0.125in per hour

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Subtract fractions with different denominators
Tems11 [23]

Answer:

\frac{10}{15}-\frac{2}{5}=\frac{4}{15}

Step-by-step explanation:

We know that

  • A fraction consists of two integers—one on the top, and one on the bottom.
  • The top one is numerator, the bottom one is denominator, and
  • These two numbers are separated by a line.

Let us consider two different fractions with different denominators

  • \frac{10}{15}
  • \frac{2}{5}

Lets subtract the two fractions

\frac{10}{15}-\frac{2}{5}\:\:\:\:

\mathrm{Cancel\:}\frac{10}{15}:\quad \frac{2}{3}

=\frac{2}{3}-\frac{2}{5}

\mathrm{Least\:Common\:Multiplier\:of\:}3,\:5:\quad 15

\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}

\mathrm{For}\:\frac{2}{3}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:5

\frac{2}{3}=\frac{2\cdot \:5}{3\cdot \:5}=\frac{10}{15}

\mathrm{For}\:\frac{2}{5}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:3

\frac{2}{5}=\frac{2\cdot \:3}{5\cdot \:3}=\frac{6}{15}

so

=\frac{10}{15}-\frac{6}{15}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

=\frac{10-6}{15}

\mathrm{Subtract\:the\:numbers:}\:10-6=4

=\frac{4}{15}

Therefore,

\frac{10}{15}-\frac{2}{5}=\frac{4}{15}

5 0
3 years ago
How many quarts of water must be added to 3 gallons of soup that is 60% chicken broth to make the soup 40% chicken broth
Nuetrik [128]

Answer:

<u><em>6 quarts</em></u>

Step-by-step explanation:

60% 3 gallons = 1.8 gallons of broth

water = 0% broth

1.8=1.2+0.4x

0.6=0.4x

x=1.5

1.5 gallons = 6 quarts

8 0
3 years ago
Please help. The question is in the pictures. Thanks :)
mylen [45]

Answer:

Scalene

Step-by-step explanation:

Scalene triangles always have unequal side lengths. Thia triangle has unequal side lengths, therefore it is considered scalene.

8 0
3 years ago
Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4 by substituting x = 1 and x = 2. 6x + 11 3(x + 7) 2(3x + 16) 3x
sveta [45]

2(3x+16)

Step-by-step explanation:

Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4

4(x + x + 7) − 2x + 8 − 4

When x=1 , the expression becomes 4(1+1+7)-2(1)+8-4=38

When x=2 , the expression becomes 4(2+2+7)-2(1)+8-4=44

Plug in x=1  and check with each expression

6x + 11 =6(1) +11= 16

3(x + 7) = 3(1+7)= 3(8)= 24

2(3x + 16) = 2(3(1)+16)= 38 , we got same answer when x=1, now check with x=2

2(3x + 16) = 2(3(2)+16)= 44

3x + 16= 3+16= 19

5 0
3 years ago
Can you help me with #7
Alex_Xolod [135]
2 miles-12 min.
3 miles- 18min
4 miles-24 min
5 miles-30 min

3 miles- 18
4 miles-24
5 miles-30
6 miles-36

Yes they are the same
7 0
3 years ago
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