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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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ms.morgan bought 3.5 pounds of bananas at $0.51 a pound and 4.5 pounds of pineapple at $1.19 a pound.how much did she pay for th
Tanzania [10]
3.5*0.51 = 1.785
4.5*1.19 = 5.355
1.785 + 5.355 = 7.14
Ms Morgan paid $7.14c for the bananas and pineapples.
4 0
3 years ago
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I need help with this question <br>-4 (2p+ 3) = -(p+1) - 2​
ankoles [38]

Answer:

-4 (2p+ 3) = -(p+1) - 2​

-8p -12 = -p-1-2

-7p=9

p=-9/7

Step-by-step explanation:

6 0
3 years ago
A supplier delivers an order for 20 electric toothbrushes to a store. By accident, three of the electric toothbrushes are defect
krek1111 [17]

Answer:

The probability that the first two electric toothbrushes sold are defective is 0.016.

Step-by-step explanation:

The probability of an event, say <em>E </em>occurring is:

P (E)=\frac{n(E)}{N}

Here,

n (E) = favorable outcomes

N = total number of outcomes

Let <em>X</em> = number of defective electric toothbrushes sold.

The number of electric toothbrushes that were delivered to a store is, <em>n</em> = 20.

Number of defective electric toothbrushes is, <em>x</em> = 3.

The number of ways to select two toothbrushes to sell from the 20 toothbrushes is:

{20\choose 2}=\frac{20!}{2!(20-2)!}=\frac{20!}{2!\times 18!}=\frac{20\times 19\times 18!}{2!\times 18!}=190

The number of ways to select two defective toothbrushes to sell from the 3 defective toothbrushes is:

{3\choose 2}=\frac{3!}{2!(3-2)!}=\frac{3!}{2!\times 1!}=3

Compute the probability that the first two electric toothbrushes sold are defective as follows:

P (Selling 2 defective toothbrushes) = Favorable outcomes ÷ Total no. of outcomes

                                                            =\frac{3}{190}\\

                                                            =0.01579\\\approx0.016

Thus, the probability that the first two electric toothbrushes sold are defective is 0.016.

8 0
3 years ago
Find the sum of the measures of the interior angles of a convex 30-gon.
Kisachek [45]
The sum of the interior angles of a polygon with N sides is (N-2) x 180 degrees.

For a 30-gon, the sum of interior angles is (28) x (180) = <u>5,040 degrees</u>.

It makes no difference whether or not the polygon is convex at every vertex.
7 0
3 years ago
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Claire is building a dollhouse where 11 inch on the plans is equivalent to 55 inches on the actual dollhouse. ​ Scale Factor ​If
Liula [17]

Answer:

1 : 5 ;

6.5 inches

Step-by-step explanation:

Given that:

11 inch on plan = 55 in actual

The scale factor here is :

11 : 55

1 : 5 ( 1 inch on plan represents 5 inches the actual house)

If the house is 32.5 inches tall

The height in inches of the house on the plan will be:

Actual Height of house / 5

32.5 / 5 = 6.5 inches

3 0
2 years ago
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