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2 years ago

6 A local theater charges $26 for each adult ticket and

2 answers:

8 0

So what you would do is divide 988 by 26 and divide 731 by 17 and those two numbers you would add which gives you the amount of people that attended the performance

Grace [21]2 years ago

7 0

Answer:

81 people

Step-by-step explanation:

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The vertices of ΔMNO are M (1, 3), N (4, 9), and O (7, 3). The vertices of ΔPQR are P (3, 0), Q (4, 2), and R (5, 0). Which conc

vodka [1.7K]

Answer:

They are similar by the definition of similarity in terms of a dilation.

Step-by-step explanation:

Given:

The vertices of ΔMNO are M (1, 3), N (4, 9), and O (7, 3). The vertices of ΔPQR are P (3, 0), Q (4, 2), and R (5, 0).

To choose: the correct option

Solution:

According to distance formula distance between points $(x_1,y_1),(x_2,y_2)$ is given by $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

For ΔMNO,

$MN=\sqrt{(4-1)^2+(9-3)^2}=\sqrt{(3)^2+(6)^2}=\sqrt{45}\\NO=\sqrt{(7-4)^2+(3-9)^2}=\sqrt{(3)^2+(-6)^2}=\sqrt{45}\\\\MO=\sqrt{(7-1)^2+(3-3)^2}=\sqrt{(6)^2+(0)^2}=\sqrt{36}=6\\$

For ΔPQR,

$PQ=\sqrt{(4-3)^2+(2-0)^2}=\sqrt{(1)^2+(2)^2}=\sqrt{5}\\QR=\sqrt{(5-4)^2+(0-2)^2}=\sqrt{(1)^2+(-2)^2}=\sqrt{5}\\\\PR=\sqrt{(5-3)^2+(0-0)^2}=\sqrt{(2)^2+(0)^2}=2\\$

So,

$\frac{MN}{PQ}=\frac{\sqrt{45} }{\sqrt{5} }=\sqrt{9}=3\\ \frac{NO}{QR}=\frac{\sqrt{45} }{\sqrt{5} }=\sqrt{9}=3\\\frac{MO}{PR}=\frac{6 }{2 }=3\\$

Therefore, They are similar by the definition of similarity in terms of a dilation.

Two triangles are said to be similar if their sides are proportional.

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3 years ago

A 20 gallon container is filled with 6 gallons of gasoline. What fraction of the container is filled with gasoline? (reduce)

rjkz [21]

The fraction of the container that is filled with gasoline is 6/20, which reduces to 3/10.

ANSWER: 3/10

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3 years ago

One-third of Olivia age , increased by 12 , is equal to twice her age , decrease by 3. How old is Olivia

mario62 [17]

Answer:

she would be 9

Step-by-step explanation:

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3 years ago

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Ten times the sum of half of a number and 6 is 8

Ahat [919]

$10\cdot\left(\dfrac{1}{2}x+6\right)=8\ \ \ \ |use\ distributive\ property\ a(b+c)=ab+ac\\\\5x+60=8\ \ \ \ |subtract\ 60\ from\ both\ sides\\\\5x=-52\ \ \ \ |divide\ both\ sides\ by\ 5\\\\\boxed{x=-10.4}$

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3 years ago

Praedup uses the inequality r+2≥25 to represent his rock and shell collection, where r is the number of rocks in his collection.

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3 years ago