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3 years ago

The perimeter of a rectangle is 68 ft.

1 answer:

5 0

Let the length be 9x and the width = 8x
Perimeter = 2(l + w) = 2(9x + 8x) = 2(17x) = 34x = 68
x = 68/34 = 2
9x = 9(2) = 18 ft
8x = 8(2) = 16 ft
Therefore, dimensions are 18 ft by 16ft

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Elementary Algebra Skill

mr_godi [17]

The answer is a = $\frac{4}{-3}$

Step-by-step explanation:

1. Convert the mixed fraction to an improper fraction

To find the numerator, multiply the denominator by the whole number and add the numerator to it.

The denominator remains the same.

So, 2 $\frac{2}{3}$ will be $\frac{8}{3}$

2. Now the equation is,

$\frac{3}{2}$ a - $\frac{4}{3}$ a = $\frac{10}{3}$ + $\frac{8}{3}$ a

3. Take LCM on both sides.

For the left side, multiply the first fraction by $\frac{3}{3}$ and multiply the second fraction by $\frac{2}{2}$

$\frac{3*3}{2*3}$ a - $\frac{4*3}{3*3}$ a = $\frac{10+8a}{3}$

4. Solve by making a the subject

$\frac{9a-8a}{6}$ = $\frac{10+8a}{3}$

$\frac{a}{6}$ = $\frac{10+8a}{3}$

$\frac{3a}{6}$ =10+8a

$\frac{a}{2}$ = 10 + 8a

a = 2(10 + 8a)

a = 20 + 16a

a-16a = 20

-15a = 20

a = $\frac{20}{-15}$

a = $\frac{4}{-3}$

Therefore, the answer is a = $\frac{4}{-3}$

Keyword: Equations

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4 0

3 years ago

Alice has 8 meters of ribbon. She needs 1/2 meter of ribbon for each package. How many packages can Alice wrap with ribbon? A.16

dybincka [34]

Answer:

Step-by-step explanation:

1. 8 / ½ or 8 * 2

2. You get 16

6 0

3 years ago

a study was to be undertaken to determine if a particular training program would improve physical fitness. an srs of 31 universi

Nataliya [291]

Step-by-step explanation:

A study was to be undertaken to determine if a particular training program would improve physical fitness. A sample of 31 university students was selected to be enrolled in the fitness program. The researchers wished to determine if there was evidence that their sample of students differed from the general population of untrained subjects. The sample mean is 47.4 and a standard deviation of 5.3. The 98% confidence interval is determined and is given as, (45.2, 49.6) .

If the level of confidence is changed to 95%, then the confidence interval will become shorter but the p-value will not change because it is calculated using the test statistic. So the correct answer is (a).

3 0

1 year ago

Kenya dose the pole vault for her school's track team. Her record is 2 meters 86 centimetres. How many millimetres is Kenya's re

kvv77 [185]

Answer:

2860

Step-by-step explanation:

First, convert 2 meters into cm and then convert to mm. m to cm+200cm cm-mm= 2000. Then turn 86 centimetres into mm which is 860 mm. Lastly 2000+860=2860. Hope this helps

6 0

2 years ago

Read 2 more answers

At first public inquiry showed there were 637000 women motorcyclists in the US up from 437000 just 8 years ago before it. Find t

dimaraw [331]

I would say to do 637000-437000, which is 200000, and then do 200000/637000. You get 0.314, and the percentage of that in hundreds is 31%.

6 0

3 years ago