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3 years ago

10

Which unit lengths represent the sides of a right triangle? Select all that apply. 11, 60, and 61 O 8, 12, and 13 12, 35, and 37

o 7, 10, 17

1 answer:

Rudik [331]3 years ago

3 0

Answer:

11, 60, 61 and 12, 35, 37

Step-by-step explanation:

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The length of a rectangle is 9 inches. write an expression for the area of the rectangle if the width is W inches. PLEASE help m

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4 years ago

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A theater charges $5.00 admission for adults and $2.50 for children. At one showing 240 admissions brought a total of $800. How

SOVA2 [1]

Answer:

80

Step-by-step explanation:

Let the number of adults be x

Let the number of children be y

This means that the money paid by adults and kids is $5 multiplied by x (5x) and $2.50 multiplied by y (2.5y)

This will give two equations as shown below

x + y = 240 <em>total admissions......................... equation 1</em>

5x + 2.5y = 800 <em>total money paid..................equation 2</em>

<em />

<em>Making x the subject of formula in equation 1</em>

x=240-y<em>......................................................equation 3</em>

Substituting equation 3 into equation 2

5(240-y) + 2.5y = 800 <em>removing the brackets</em>

1200 - 5y + 2.5y = 800 <em>grouping like terms</em>

-5y + 2.5y = 800-1200 <em>simplifying </em>

-2.5y = -400 therefore

-2.5y/-2.5 = -400/-2.5

y = 160

<em>Substituting y into equation 3</em>

x = 240 - y

x = 240 - 160

x = 80

Hence number of adults who attended = 80

8 0

3 years ago

£980 is divided between Caroline, Sarah & Gavyn so that Caroline gets twice as much as Sarah, and Sarah gets three times as

Nitella [24]

Sarah has received £ 294

<u><em>Solution:</em></u>

Given that £980 is divided between Caroline, Sarah & Gavyn

Let "c" be the amount received by caroline

Let "s" be the amount received by sarah

Let "g" be the amount received by gavyn

<em><u>Caroline gets twice as much as Sarah</u></em>

amount received by caroline = twice as much as Sarah

amount received by caroline = 2(amount received by sarah)

c = 2s ---- eqn 1

<em><u>Sarah gets three times as much as Gavyn</u></em>

amount received by sarah = three times as much as Gavyn

amount received by sarah = 3(amount received by gavyn)

s = 3g ------- eqn 2

Given that total amount is 980

c + s + g = 980 --- eqn 3

<em><u>Let us solve eqn 1, 2, 3 to get values of "c" "s" "g"</u></em>

From eqn 2,

$g = \frac{s}{3}$ --- eqn 4

Substitute eqn 1 and eqn 4 in eqn 3

$2s + s + \frac{s}{3} = 980\\\\\frac{6s + 3s + s}{3} = 980\\\\6s + 3s + s = 980 \times 3\\\\10s = 2940\\\\s = 294$

Thus sarah has received £ 294

7 0

3 years ago