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BabaBlast [244]
2 years ago
9

10 points quick!!!

Mathematics
1 answer:
schepotkina [342]2 years ago
5 0

a. The table represents a proportional relationship

b. The constant of proportionality is 5/6

<h3 /><h3 /><h3>Proportional relationship:</h3>

Proportional relationship are relationship between variable where their ratios are equivalent. The variables in our case are total weight(pounds) and number of books.

Therefore, let's check if the table represent a proportional relationship.

let

total weight = x

number of book = y

k = constant of proportionality

y = kx

10 = k12

k = 10 / 12 = 5 / 6

y = kx

15 = 18k

k = 15 / 18

k = 5 / 6

y = kx

25 = 30k

k = 25 / 30

k = 5 / 6

y = kx

50 = k60

k = 50/60 = 5 / 6

The constant of proportionality is the same. Therefore, the table represents a proportional relationship

The constant of proportionality(k) is 5/6.

learn more on proportional relationship: brainly.com/question/19543047?referrer=searchResults

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<span>b) 8/13.6 = x/(13/6) so x = 0.2715 hours or 16 and 1/3 minutes </span>

<span>c) if the restaurant is 21 meters, the radius is 10.5 meters, and the circumference is 2*pi*r so circumference = 65.97 meters. </span>

<span>2 and 1/6 revolution is going around the circumference 2 and 1/6 times, so simply multiply 65.97 by 13/6 </span>

<span>ANSWER: about 143 meters</span>
8 0
4 years ago
Is the following relation a function
sashaice [31]
Yes because each x only has one y output
5 0
3 years ago
Eight students ran a 180-meter course during their physical education class. The chart shows the time it took each student to co
lakkis [162]

Answer:

Step-by-step explanation:

Speed of student 1 = 180/30= 6 m/sec

speed of student 2= 180/32= 5.62 m/sec

speed of student 3= 180/33= 5.45 m/sec

speed of student 4= 180/35= 5.14 m/sec

speed of student 5= 180/37= 4.86 m/sec

speed of student 6= 180/38= 4.73 m/sec

speed of student 7= 180/40= 4.5 m/sec

speed of student 8= 180/32= 4 m/sec

average speed is = (6+5.62+5.45+5.14+4.86+4.73+4.5+4)/8

hence, average speed is= 5.04

hence, the average speed of student 1 = 6m/sec

how much faster is average speed of student 1 than average speed= 6- 5.04 = 0.96

hence, average speed of student 1 is 0.96 m/sec more thanthe average speed.

4 0
3 years ago
Find the midpoint of the segment with the following endpoints.<br> (8,4) and (2,7)
Fudgin [204]

Answer:

Step-by-step explanation:

Use the midpoint formula: \frac{ChangeInX}{2} ,\frac{ChangeInY}{2}

So, the Change In X is 2-8 = -6

And the Change in Y is 7-4 = 3

Once you divide both of the changes by 2, you get

X: -3

Y:  \frac{3}{2}

So the midpoint is: (-3,\frac{3}{2})

4 0
3 years ago
12 is 8% of what number?
jeka57 [31]
We can also say this in another way ... (8% of what number is 12?)
let a be the number of which 8 % is 12 ....
<span>8/100 x a =12 </span>
<span>a=12 x 100/8 </span>
<span>a=(6/4) x 100 </span>
<span>a=(3/2) X 100
a = 150  </span>

<span>now if u want to check your answer.. substitute the value of a .....</span>
<span>(8/100) x 150=12 ....

Hope it helps !!!</span>
7 0
3 years ago
Read 2 more answers
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