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IRINA_888 [86]
3 years ago
9

Liam cuts a 48-inch piece of string into two pieces. One piece is 12 inches longer than the other. If s represents the length of

the shorter string, which diagram best represents this scenario?
Mathematics
1 answer:
9966 [12]3 years ago
5 0

The length of the shorter string is 18 inch while that of the longer string is 30 inch.

An equation is an expression used to show the relationship between two or more variables and numbers.

Let s represent the length of the shorter string.

One piece is 12 inches longer than the other

Length of longer string = s + 12

Since a 48-inch piece of string is cut into two pieces. Hence:

s + (s + 12) = 48

2s + 12 = 48

2s = 36

s = 18

Length of longer string = 18 + 12 = 30

The length of the shorter string is 18 inch while that of the longer string is 30 inch.

Find out more on equation at: brainly.com/question/2972832

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Solve x/9 + 1/3 = -4/3<br> The solution is x = ?
nydimaria [60]

Answer:

x = - 15

Step-by-step explanation:

\frac{x}{9} + \frac{1}{3} = - \frac{4}{3} ( multiply through by 9 to clear the fractions )

x + 3 = - 12 ( subtract 3 from both sides )

x = - 15

6 0
2 years ago
Read 2 more answers
Working her way through school, Kathy works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Jo
trapecia [35]

Answer:

<u>Kathy worked 11 hours at job A and 12 hours at job B, the week she made US$ 146.70.</u>

Step-by-step explanation:

1. Let's review all the information given for solving this question:

Rate per hour of Job A = US$ 5.70

Rate per hour of Job B = US$ 7.00

Earnings received by Kathy during the week = US$ 146.70

Total time worked by Kathy during the week = 23 hours

Hours at job A = x

Hours at job B = 23 -x

2. Let's find how many hours Katy worked at each job:

This is the equation that we'll use:

5.70x + 7 (23 - x) = 146.70

5.70x + 161 - 7x = 146.70

- 1.3x = 146.70 - 161 (Subtracting 161 at both sides)

-1.3x = - 14.30

1.3x = 14.3 (Multiplying by - 1 at both sides)

x = 14.3/1.3 = 11 (Dividing by 1.3 at both sides)

<u>Kathy worked 11 hours at job A and 12 hours at job B.</u>

3. Proof of x = 11

5.70 x + 7 (23 - x) = 146.70

5.70 (11) + 7 (23 - 11) = 146.70

62.70 + 7 (12) = 146.70

62.70 + 84 = 146.70

146.70 = 146.70

<u>The value of x = 11 is correct.</u>

Note. I provided the same answer to question 13954115.

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20%3D%20%5Cfrac%7B16%7D%7B24%7D%20" id="TexFormula1" title=" \frac{2}
AnnyKZ [126]
Simplify
16/24=8/12=4/6=2/3
2/3=2/3
yes
8 0
3 years ago
Read 2 more answers
If
Fudgin [204]
Triangle DEF hope that helps
4 0
3 years ago
PLEASE HELP. <br> I know how to do these but I'm stuck on this one.
Nezavi [6.7K]

Steve ran 11 miles

let the distance Steve ran be x

Then distance Kevin ran is x + 4 ( 4 miles more than Steve )

x + x + 4 = 26 ( the sum of their distance is 26 )

2x + 4 = 26 ( subtract 4 from both sides )

2x = 22 ( divide both sides by 2 )

x = 11

Steve ran 11 mies and Kevin ran 11 + 4 = 15 miles

check 11 + 15 = 26


5 0
4 years ago
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