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Minchanka [31]
3 years ago
14

Allyson has 4.5 pieces of rope to use for a tire swing. If each full piece is 2 2/3 feet long, how much rope does Allyson have i

n all?
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
6 0

Answer:

12 feet

Step-by-step explanation:

4.5 pieces of rope = 9/2 pieces in fractions

Also, 2 2/3 can be rewritten as 8/3 in fractions

So, 9/2 *8/3 = 72/6 = 12 feet

Allyson has 12 feet of rope in all.

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Answer:

4 mph

Step-by-step explanation:

The average speed of an object is given by the total distance covered by the time taken:

v=\frac{d}{t}

where

d is the total distance covered

t is the time taken

in the first part, the person runs for 0.4 hours at a speed of 7 mph, so the distance covered in the 1st part is

d_1 = v_1 t_1 = (7)(0.4)=2.8 mi

Then the distance covered in the second part is d_2, so the total distance is

d=2.8+d_2 (1)

The total time elapsed is 0.4 hours (first part) + 0.8 hours (second part), so

t=0.4+0.8=1.2 h

So we can write the average speed as

v=\frac{2.8+d_2}{1.2} (1)

We want the average speed to be 5 mph,

v = 5 mph

Therefore we can rearrange eq.(1) to find d2:

d_2 = 1.2v-2.8 = (1.2)(5)-2.8=3.2 mi

And therefore, the speed in the second part must be

v_2=\frac{d_2}{t_2}=\frac{3.2}{0.8}=4 mph

4 0
2 years ago
Find f(-5) if f(x) = |x+1|​
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Answer:

4

Step-by-step explanation:

just put -5 to x

|-4|=4

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3 years ago
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Answer:

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When the no. of mosquitoes is the highest the slope of graph will be zero

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m(x)= -x²+4x

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answer: 2 cm of rain

6 0
2 years ago
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