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3 years ago

The area of a rectangular gymnasium is (5x+5x) square feet. If it is 5x feet wide, what is the length, in feet?

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

5 0

Answer:

Step-by-step explanation:

Area = L x W gym area is (5x + 5x) ft² if W = 5x Find the L

Area = L x W divide both sides by W

Area/W = (L x W) / W

Area/W = L = Area/W

L = Area/W

= (5x + 5x) / (5x)

= 5x( 1 + 1) / 5x

= 5x(2) / 5x the 5x's cancel each other 5x/5x = 1

= 2 ft I got 2. I suspect the 12 was a typo and should have been 2

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djyliett [7]

Answer:

Since the shirt costs $43.76, and you paid the cashier $50.76; the change you will get back will be $7.

Step-by-step explanation:

$43.76-$50.76 =$7

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3 years ago

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The numbers in this sequence increase by 40 each time 30, 70, 110, 150. The sequence is continued with the same rule. Which numb

Zolol [24]

The value in the sequence closest to 300 is 310

<h3>Arithmetic Sequence</h3>

Arithmetic sequence is a sequence where each term increases or decreases by addition or subtraction of a constant term

the first term a = 30

common difference, d = 40

which term is closest to 300 we solve like this

300 / 40 = 7.5 say 7

the 7th term, T7 is solved by

T7 = a + ( n - 1 ) d

T7 = 30 + ( 7 - 1 ) 40

T7 = 30 + 240

T7 = 270

checking for the 8th term to confirm the nearest

T8 = T7 + d = T7 + 40

T8 = 270 + 40

T8 = 310

therefore the 8th term is closest and the value is 310

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3 years ago

Beth poured the same amount of juice into 10 glasses. She used 2 quarts of juice. How much juice is in each glass?

tia_tia [17]

Answer:

6.4 ounces

Step-by-step explanation:

If you divide 2 quarts by 10 you get 0.2 quarts per glass. That converts to 6.4 ounces.

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3 years ago

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A distance AB is observed repeatedly using the same equipment and procedures, and the results, in meters, are listed below: 67.4

skad [1K]

Answer:

a) $\bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401$

b) The sample deviation is calculated from the following formula:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And for this case after replace the values and with the sample mean already calculated we got:

$s=0.0036$

If we assume that the data represent a population then the standard deviation would be given by:

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And then the deviation would be:

$\sigma =0.00319$

Step-by-step explanation:

For this case we have the following dataset:

67.401, 67.400, 67.402, 67.396, 67.406, 67.401, 67.396, 67.401, 67.405, and 67.404

Part a: Determine the most probable value.

For this case the most probably value would be the sample mean given by this formula:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

And if we replace we got:

$\bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401$

Part b: Determine the standard deviation

The sample deviation is calculated from the following formula:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And for this case after replace the values and with the sample mean already calculated we got:

$s=0.0036$

If we assume that the data represent a population then the standard deviation would be given by:

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And then the deviation would be:

$\sigma =0.00319$

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4 years ago

If AB = 9, RS = 3, and SC = 5, find BC.<br> A) 5<br> B) 10<br> C) 13.5<br> D) 15

Ronch [10]

Answer:

Step-by-step explanation:

Δ ABC and Δ RSC are similar triangles, thus the ratio of corresponding sides are equal, that is

$\frac{BC}{SC}$ = $\frac{AB}{RS}$ , substitute values

$\frac{BC}{5}$ = $\frac{9}{3}$ = 3 ( multiply both sides by 5 )

BC = 5 × 3 = 15 → D

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4 years ago

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