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Marrrta [24]
3 years ago
9

What is 54 is 75% of

Mathematics
2 answers:
lukranit [14]3 years ago
8 0
First put 54 over X in a fraction. 54/x 
<span>Then put 75 over 100. 75/100 </span>
<span>Then you cross multiply. 75(x)= 54(100) </span>
<span>Simplify. 75x = 5400 </span>
<span>Divide. x=72 </span>
<span>Your answer is 72 

</span>
sweet-ann [11.9K]3 years ago
5 0
We set up a proportion: 54/?= 75/100

Cross multiply: 75*?= 54*100
⇒ ?= 54*100/75= 72

54 is 75% of 72.
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the length of a rectangular patio is 8 feet less than twice its width. the area of the patio is 280 square feet. find the dimens
jolli1 [7]

Answer:

The length of the rectangle 'l' = 20

The width of the rectangle 'w' = 14

Step-by-step explanation:

<u>Explanation</u>:-

Let 'x' be the width

Given data the length of a rectangular patio is 8 feet less than twice its width

2x-8 = length

The area of rectangle = length X width

Given area of rectangle = 280 square feet

x(2x-8) = 280

2(x)(x-4) =280

x(x-4) =140

x^2 -4x -140=0

x^2-14x+10x-140=0

x(x-14)+10(x-14)=0

(x+10)(x-14) =0

x = -10 and x = 14

we can choose only x =14

The width of the rectangle 14

The length of the rectangle 2x-8 = 2(14)-8 = 28 -8 =20

The length of the rectangle 'l' = 20

The width of the rectangle 'w' = 14

6 0
3 years ago
Can some one help me
il63 [147K]

Answer:

5/6

Step-by-step explanation:

<em>Dividing fractions:</em>

<em>Step 1: Rewrite the first fraction as it is.</em>

<em>Step 2: Replace the division sign with a multiplication sign.</em>

<em>Step 3: Flip the second fraction.</em>

<em>Step 4: Multiply the fractions and reduce the product if necessary.</em>

Let's use the rule of dividing fractions on your problem.

Step 1: Rewrite the first fraction as it is.

\dfrac{5}{8}

Step 2: Replace the division sign with a multiplication sign.

\dfrac{5}{8} \times

Step 3: Flip the second fraction.

\dfrac{5}{8} \times \dfrac{4}{3}

Step 4: Multiply the fractions and reduce the product if necessary.

To multiply fractions, multiply the numerators together, and multiply the denominators together.

\dfrac{5}{8} \times \dfrac{4}{3} = \dfrac{5 \times 4}{8 \times 3} = \dfrac{20}{24}

We notice that the greatest common factor of 20 and 24 is 4, so we divide both the numerator and denominator by 4 to reduce the fraction.

= \dfrac{4 \times 5}{4 \times 6} = \dfrac{5}{6}

5 0
3 years ago
-1/2m=-9 what does m=
lilavasa [31]

Answer:

m = 18

Step-by-step explanation:

Step 1: Write out equation

-1/2m = -9

Step 2: Multiply both sides by -2

m = 18

5 0
3 years ago
The sum of three consecutive integers is 168. What are the integers
Tema [17]

Answer:

3X + 3 = 168

3X + 3 - 3 = 168 - 3

3X = 165

3X/3 = 165/3

X = 55

Step-by-step explanation:

We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 168. Therefore, you can write the equation as follows: (X) + (X + 1) + (X + 2) = 168

3 0
3 years ago
Twice the product of the cube of a and the square of b
arlik [135]

For this case we have to rewrite the given expression algebraically:

the cube of a, is represented as: a ^ 3

the square of b, is represented as:b ^ 2

Thus, the product of both expressions is:

(a ^ 3 * b ^ 2)

And twice the product is represented as:

2 (a ^ 3 * b ^ 2)

Answer:

2 (a ^ 3 * b ^ 2)

6 0
3 years ago
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