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Mazyrski [523]
3 years ago
9

Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After runni

ng for 54 minutes, she completes 6 kilometers. Her trainer writes an equation letting t, the time in minutes, represent the independent variable and k, the number of kilometers, represent the dependent variable. Which equation can be used to represent k, the number of kilometers Julissa runs in t minutes? k – 2 = 1/9(t – 18) k – 18 = 1/9(t – 2) k – 2 = 9(t – 18) k – 18 = 9(t – 2)
Mathematics
1 answer:
viktelen [127]3 years ago
4 0

Answer:

the answer is C

Step-by-step explanation:

using her first part 2 kilometers in 18 minutes

total kilometers - 2

and total time - 18

so you would get:

k – 2 = (t – 18)

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June bought ​
MA_775_DIABLO [31]

Answer:

$8006

Step-by-step explanation:

312*17.5=5460

134*19=2546

5460+2546= 8006

5 0
2 years ago
In a certain community, 36 percent of the families own a dog and 22 percent of the families that own a dog also own a cat. In ad
zysi [14]

Answer:  a) 0.0792   b) 0.264

Step-by-step explanation:

Let Event D = Families own a dog .

Event C = families own a cat .

Given : Probability that families own a dog : P(D)=0.36

Probability that families own a dog also own a cat : P(C|D)=0.22

Probability that families own a cat : P(C)= 0.30

a) Formula to find conditional probability :

P(B|A)=\dfrac{P(A\cap B)}{P(A)}\\\\\Rightarrow P(A\cap B)=P(B|A)\times P(A)   (1)

Similarly ,

P(C\cap D)=P(C|D)\times P(D)\\\\=0.22\times0.36=0.0792

Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792

b) Again, using (2)

P(D|C)=\dfrac{P(C\cap D)}{P(C)}\\\\=\dfrac{0.0792}{0.30}=0.264

Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264

5 0
3 years ago
A large rectangular movie screen in an IMAX theater has an area of 8,364 square feet. Find the dimensions of the screen if it is
jeyben [28]

Answer:

The dimensions of the screen are

Length:102 feet

Width: 82 feet

Step-by-step explanation:

we know that

The area of the rectangle (movie screen) is equal to

A=LW

where

L is the length

W is the width

we have

A=8,364\ ft^2

so

8,364=LW ----> equation A

The screen is 20 feet longer than it is wide.

so

L=W+20 ---> equation B

substitute equation B in equation A

8,364=(W+20)W

solve for W

8,364=W^2+20W\\W^2+20W-8,364=0

solve the quadratic equation by graphing

the solution is W=82 ft

see the attached figure

Find the value of L

L=82+20=102\ ft

therefore

The dimensions of the screen are

Length:102 feet

Width: 82 feet

7 0
3 years ago
Simplify 2x - 3(-4x + 2 )
OleMash [197]
<span>2x - 3(-4x + 2 )
2x+12x-6
14x-6
2(7x-3)</span>
8 0
2 years ago
Read 2 more answers
Can someone please help i posted this question already and it got ingored
coldgirl [10]
The answer is C, since the number in the parenthesis represent what is being multiplied every year
3 0
3 years ago
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