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shusha [124]
3 years ago
9

How many times greater is the value of the 2 digit in 20 than the 2 digit in 952?

Mathematics
1 answer:
Alex Ar [27]3 years ago
7 0
The answer is 10.......
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Explain proportionality to me 7th grade math ​
kari74 [83]

If two quantities <em>a</em> and <em>b</em> are directly proportional to one another, then both <em>a</em> and <em>b</em> change in the <u>same direction</u>.

For example, if the amount/volume of coffee I have in a cup is directly proportional to the total volume of the cup, then the larger the cup gets, the more coffee I can fill it with. On the other hand, if the cup gets smaller, the amount of coffee it can hold also gets smaller.

Both <em>a</em> and <em>b</em> don't necessarily change at the same rate, though, which means one of these needs to get appropriately scaled by some factor <em>k</em>, so that

<em>a</em> = <em>kb</em>

Continuing the coffee example: Suppose I only fill my cup halfway. If the total volume of the cup is <em>a</em>, then the amount of coffee I pour in is <em>b</em> = 1/2 <em>a</em>. So the relationship of these two quantities is governed by the equation,

<em>a</em> = 2<em>b</em>

and in this case, <em>k</em> = 2.

If instead <em>a</em> and <em>b</em> are inversely proportional, this means as one quantity changes, the other changes in the <u>opposite direction</u>.

Suppose I have two cups that I use for coffee that can both hold the same amount <em>k</em> if they are filled completely, but one cup is taller than the other. In order for both cups to be able to hold the same volume of coffee, the taller cup must have a thinner profile.

The cups are cylindrical, so that their volumes are equal to the products of the area of their base <em>a</em> and their height <em>b</em>. If one cup is twice as tall as the other, then for the smaller cup we could have

<em>ab</em> = <em>k</em>

and for the taller one,

<em>a</em> (2<em>b</em>) = <em>k</em>

But in order to get the same volume, the quantity <em>a</em> for the shorter cup must be cut in half to preserve equality:

(1/2 <em>a</em>) (2<em>b</em>) = <em>ab</em> = <em>k</em>

So one quantity is doubled (increases), while the other gets halved (decreases).

5 0
3 years ago
What is 80% of 960? Round to the nearest hundredth (if necessary).
Tatiana [17]

Answer:

Step-by-step explanation:

you could do (960/100)*80=768

8 0
3 years ago
Read 2 more answers
Would the sum of -13 and 20 be positive or negative? Explain your reasoning. Use complete sentences.
Debora [2.8K]

Answer:

Positive

Step-by-step explanation:

-13 plus positive 20 equals positive 7

6 0
3 years ago
What budget item does NOT necessarily include monthly expenses? A.transportation
xeze [42]
Medical expenses aren't necessarily a monthly expense since many people are healthy and therefore don't require this on a monthly basis.

6 0
3 years ago
Please leave answers as pils , DO NOT multiply.
lana66690 [7]

Answer:

ill try working on it

Step-by-step explanation:

8 0
3 years ago
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