Find the new amount given the original amount and the percent of change .$9; 10% increase

Answers

Answer 1
Answer: 9 × .1 = .9

.9 + 9 = 9.9


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A grocery store sells 6 bottles of water for $4 and 18 bottles of water for $10. Is the cost of the water proportional to the number sold? EXPLAIN.

Answers

The answer is "No", the cost of water is not proportional to the number of sold.

What is the ratio?

The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is. A ratio divides two quantities to compare them.

As per the given information in the question,

The cost of 6 bottles of water is $4.

Then, the price of each bottle will be,

= $4/6 = $0.66

The next condition is,

The cost of 18 bottles of water is $10

Then, the price of each bottle will be,

= $10/18 = $0.55

Comparing both the values, the ratio is not the same.

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No, because if it were proportional the cost for 18 bottles of water would be $12

What is the value of the coefficient 2x^3+18x^2-18x-162=2(x+k)(x-k)(x+9)

Answers

The polynomial
2x^3+18x^2-18x-162=(2x^3+18x^2)-(18x+162)=
=2x^2(x+9)-18(x+9)=2(x+9)(x^2-9)=2(x+9)(x+3)(x-3).
Then k=3.

What is 36 minutes as a fraction of an hour ?

Answers

³/₅

Further explanation

The Problem:

What is 36 minutes as a fraction of an hour?

The Process:

This time we will complete how to express minutes as a fraction of an hour.

We already know that one hour is 60 minutes, or there are 60 minutes in an hour.

\boxed{ \ 1 \ hour = 60 \ minutes \ }

Or it can also be written as follows:

\boxed{ \ 60 \ minutes = 1 \ hour \ }

To express the number of minutes as a fraction of an hour, we place the number of minutes above 60 and simplify. In other words, we divide the number of minutes by 60.

\boxed{ \ (36)/(60) = \ ? \ of \ an \ hour \ \ }

Divide both 36 and 60 by 12, since HCF (highest common factor) is 12.

\boxed{ \ = (36 / 12)/(60 / 12) \ }

\boxed{\boxed{ \ = (3)/(5) \ }}

Thus, 36 minutes is(3)/(5)of an hour.

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Keywords: what is 36 minutes, as a fraction of an hour, divide, 60 minutes, simplify, HCF, highest common factor

The fraction of an hour's that makes up the 36 minutes portion would be = 3/5

How to determine the fraction of 36 minutes of an hour?

To determine the fraction of the given minutes for an hour, the following steps needs to be taken as follows.

The number of minutes that makes an hour's = 60minutes

The number of minutes given = 36

Therefore the fraction = 36/60 = 3/5

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Mr. Hoya brought 5 watermelons from his grocery store. The watermelons weighed 8 1/4 pound, 9 1/4 pound, 8 7/8 pound, 9 5/8 pound, and 10 3/4 pound. At the party 153 people each ate 1/4 pound serving of watermelon. Was the amount of less than or greater than 8 4/8 or 1/2 pounds? Explain how to solve the problem. Then solve it.

Answers

the amount of watermelon consumed was greater than 8 1/2 pounds.

To determine if the amount of watermelon consumed was less than or greater than 8 1/2 pounds, we need to find the total weight of the watermelons Mr. Hoya brought and then subtract the total amount consumed by the 153 people.

1. Find the total weight of the watermelons:

Total weight = 8 1/4 + 9 1/4 + 8 7/8 + 9 5/8 + 10 3/4

2. Convert all the fractions to a common denominator:

Total weight = (33/4) + (37/4) + (35/4) + (39/4) + (43/4)

3. Add the fractions:

Total weight = (33 + 37 + 35 + 39 + 43) / 4

4. Find the sum:

Total weight = 187 / 4

Now, we'll find the total amount consumed by 153 people:

Total amount consumed = 153 * 1/4

Now, we can compare the total amount consumed to 8 1/2 pounds:

8 1/2 = 17/2 = 34/4

Now, let's compare the values:

Total amount consumed = 153 * 1/4 = 153/4 ≈ 38.25

8 1/2 pounds = 34/4 = 8.5

The total amount consumed (38.25) is greater than 8 1/2 pounds (8.5). Therefore, the amount of watermelon consumed was greater than 8 1/2 pounds.

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First add all the watermelon weights together (to add the fourths and the eighths multiply the fourths by 2 (1/4x2=2/8) and add the numerators). Then multiply the number of people (153) by how much they each ate (1/4). Then subtract the total amount eaten (38 1/4) from the total weight (46 3/4) and compare that with 8 1/2... The left overs are actually equal to 8 1/2 pounds :)

Can someone help me find the constant? L varies directly as h; when l=112, h=-16

Answers

it varies directly
that means that when when L goes up, h also increases, when L decreases, h also decreases
so the constant is k where k=y/x
in this case it is k=L/h so subsitute
L=112
h=-16
k=L/h
k=112/-16
k=-7
the constant is -7
The statement is expressed as
L = kh
where k is constant
In terms of k,
k = L/h
Given L = 112 and h = 16
k = 112/-16 = -7

One pound of shrimp costs $6.00. How much does 7/8 pound of shrimp cost?

Answers

5.25 should be your answer because you would times 6.00 by 7/8 or .875 to get 5.25