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2 years ago

Write an equation to find x by substituting.

Mathematics

1 answer:

Harlamova29_29 [7]2 years ago

5 0

Answer:

Step-by-step explanation:

5x-2=3x+4

5x-3x=4+2

2x=6

x=3

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Alison walks 2/5 mile from her house to the mailbox. Then she walks 1/3 mile to the bus stop. What is the total distance Alison

stealth61 [152]

Answer:

Total distance:

d=11/15 miles or 0.73 miles

Step-by-step explanation:

Alison walks 2/5 miles from her house to the mailbox.

Then she walks 1/3 mile to the bus stop.

Thus, the total distance can be calculated by adding the miles

i.e.

$d=\:\frac{2}{5}+\frac{1}{3}$

LCM of 5,3 is 15

$=\frac{6}{15}+\frac{5}{15}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}$

$=\frac{6+5}{15}$

$=\frac{11}{15}$

$=\:0.73$ miles

Thus,

Total distance:

d=11/15 miles or 0.73 miles

7 0

2 years ago

Cheryl solved a problem: 84 ÷ 0.01 = 8,400.

Alexandra [31]

Answer:

Cheryl is correct.

Step-by-step explanation:

Cheryl solved a problem : 84 ÷ 0.01 = 8,400.

This is absolutely right.

When we divide any whole number with the divisor having decimal, we change the divisor to a whole number before performing the division.

To do this, we multiply both the numbers (divisor and dividend) by the same power of 10, until the divisor is a whole number.

$\frac{84\times 10}{0.01\times 10}$ = $\frac{840}{0.1}$

to make divisor a whole number we will again multiply both the numbers by 10.

$\frac{840\times 10}{0.1\times 10}$ = $\frac{8400}{1}$ = 8,400

Now answer would be 8400.

Therefore, Cheryl is correct.

7 0

2 years ago

According to Home Water Works, the average American shower uses 17.2 gallons and lasts about 8.2 minutes. To the nearest tenth o

bearhunter [10]

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Home Water Works says that in most homes, showers are the third-largest user of water after toilets and clothes washers. The average American shower water usage is 17.2 gallons with the average shower length being 8.2 minutes. The average flow rate is 2.1 gallons per minute.

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