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IRINA_888 [86]
2 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]2 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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<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bm%7D%20%20%3D%20n%20" id="TexFormula1" title=" {2}^{m} = n " alt=" {2}^{m} =
sveta [45]

Answer:

\displaystyle n^3-\frac{1}{n^{2}}

Step-by-step explanation:

<u>Exponents Properties</u>

We need to recall the following properties of exponents:

(a^x)^y=(a^y)^x=a^{xy}

\displaystyle a^{-x}=\frac{1}{a^x}

We are given the expression:

2^m=n

We need to express the following expression in terms of n.

8^m-4^{-m}

It's necessary to modify the expression to use the given equivalence.

Recall 8=2^3 \text{ and }4 = 2^2. Thus:

(2^3)^m-(2^2)^{-m}

Applying the property:

(2^m)^3-(2^m)^{-2}

Substituting the given expression:

n^3-n^{-2}

Or, equivalently:

\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}

5 0
2 years ago
Translate this sentence into an equation<br> 28 is the product of Julie score and two
pochemuha

Answer:

2x=28...Which is the required Equation.

Step-by-step explanation:

Question is

Translate this sentence into an equation

28 is the product of Julie score and two.

Solution:

Let the Julie score denoted by 'x'

According to the given condition,

28 is the product of Julie score and two

i.e 28 = 'x' × 2

28=x\times 2\\\\2x=28

2x=28...Which is the required Equation.

7 0
3 years ago
Maura drives to work, a distance of 30 miles in 40 minutes. she takes the same route to return home. if her average speed on the
Viefleur [7K]

Well to solve this firstly we should calculate her average speed while she was going to work. Which comes out to be 45 miles per hour.

Now if her average speed while going home is half as fast as while coming to work was, the answer would be 22.5 miles per hour. So the average speed for the total journey would be the average for these two values. As the distance was same for both the journeys we can simply do 45 + 22.5 / 2 = 33.75 mph.

8 0
3 years ago
Earth is approximately 9.3 × 10^7 miles from the sun and Saturn is approximately 8.87 × 10^8 miles from the sun. Approximately h
denis23 [38]

Answer:

7.94 x 10⁸miles

Step-by-step explanation:

Given parameters:

Distance of earth from sun = 9.3 x 10⁷miles

Distance of earth from Saturn  = 8.87 x 10⁸miles

Unknown:

How much further from the sun is Saturn than Earth = ?

Solution:

To find the solution to this problem, let us find the difference between their distances:

           ( 8.87 x 10⁸ miles  - 9.3 x 10⁷ miles )

         = 88.7 x 10⁷ miles - 9.3 x 10⁷ miles

         = (88.7 - 9.3) x 10⁷miles

          = 79.4 x 10⁷miles

          = 7.94 x 10⁸miles

8 0
3 years ago
PLEASE HELP MEEE
kicyunya [14]

Answer:

Step-by-step explanation:

Example: Based on Week starting on Monday

Odie works M-W-F-Sun-Tues-Thur-Sat

Mary Thur- M-Thurs

Carlos Fri-Wed-M

3 0
3 years ago
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