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VMariaS [17]
3 years ago
10

Rafael can run 5 laps around the track in 16 minutes. If he runs at the same rate, which of the following proportions can be use

d to find the number of minutes, m, it takes him to run 20 laps?
A) 25/16=20/m
B) 5/20=m/16
C) 5/16=m/20
D) 5/16=20/m
Mathematics
1 answer:
kari74 [83]3 years ago
3 0
The best answer is D) 5/16=20/m
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Please explain how you get the answer to...<br> a+2a+7+4a-8
sammy [17]

Answer:

9+2a+7+4a-8

2a+16+4a-8

2a+8+4a

6a+8

Step-by-step explanation:

you can't really get an answer for this problem but you can simplify it

8 0
3 years ago
1/3 of students at a school are boys. If there are 600 students at the school, how many are girls?
Temka [501]

Answer:

200 students are boys and rest of 400 are girls

Step-by-step explanation:

Given that:

Total students = 300

1/3 students of total are boys

so.

Boys = 1/3(600)

Boys = 200

For finding number of girls:

Girls = total - boys

Girls = 600 - 200

Girls = 400

i hope it will help you!

8 0
3 years ago
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A staffing agency for in-home nurses and support staff places necessary personnel at locations on a daily basis. Each placed nur
shutvik [7]
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6 0
3 years ago
What does 1/8x-49/8 equal
netineya [11]

Answer:

x=49

Step-by-step explanation:

Let's solve your equation step-by-step.

1

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49

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7 0
3 years ago
What is the y value of the vertex of the function f(x)=-(x-3)(x+11)
AnnyKZ [126]

Answer:

49

Step-by-step explanation:

Because there is a minus sign infront of x-3, we can convert x-3 into the negative form:

- * x

- * -3

-x + 3

Which gives us:

(-x + 3)(x + 11)

Now expand the brackets with the formula:

(a + b)(c + d) = ac + ad + bc + bd

-x * x = -x²

-x * 11 = -11x

3 * x = 3x

3 * 11 = 33

-x² - 11x + 3x + 33

-x² - 8x + 33

The formula for finding the x coordinate of a vertex in a quadratic equation is:

x = \frac{-b}{2a}

Plug known variables in:

x = \frac{-(-8)}{2(-1)}

x = \frac{8}{-2}

x = -4

Now, to find the y coordinate, plug this variable back into the quadratic equation:

-x² - 8x + 33

y = -(-4^2) - (32) + 33\\y = -16 + 32 + 33\\\\

y = 49

So the y coordinate of the vertex is 49.

Hope this helps!

4 0
3 years ago
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