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Ede4ka [16]
3 years ago
9

Katie cut out a rectangular piece of wrapping paper that was 2 times as long

Mathematics
1 answer:
Zepler [3.9K]3 years ago
3 0

two times as long as what? 2 times as long can be written as 2x.


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The total weight of three tables is 16.9 pounds. The first table is twice as heavy as the second table and the weight of the thi
Degger [83]
Refer to image for answer

3 0
3 years ago
Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that
AfilCa [17]

Answer:

They should put $6750 in the bank account and $20,250 in the stock fund.

Step-by-step explanation:

Consider the provided information that Avery and Caden have saved $27000.

Let <em>x</em> is the money deposit in the bank and <em>y</em> is the money deposit in stock fund.

Therefore,

<em>x</em> + <em>y</em> = 27000

<em>x</em>  = 27000 - <em>y</em>

The bank account will pay 2.4% annual interest.

\frac{2.4}{100}x+x=1.024x

Stock fund pays 7.2% annual interest.

\frac{7.2}{100}y+y=1.072y

Therefore,

1.024 <em>x</em> + 1.072 <em>y</em> = 1.06 × 27000

Substitute the <em>x</em>  = 27000 - <em>y</em> in above equation.

1.024 (27000 − <em>y</em>) + 1.072 <em>y</em> = 1.06 × 27000

27648 − 1.024 <em>y</em> + 1.072 <em>y</em> = 28620

0.048 <em>y</em> = 28620-27648

0.048 <em>y</em> = 972

<em>y</em> = 20250

Now, substitute the <em>y</em> = 20250 in <em>x</em>  = 27000 - <em>y</em>.

<em>x</em> = 27000 − 20250

<em>x</em> = 6750

Hence, they should put $6750 in the bank account and $20,250 in the stock fund.

7 0
3 years ago
A right rectangular prism has a length of 9, a width of 4, and a height of 5. How many unit cubes can fit in the prism?
Serjik [45]

Answer:

The answer is 54 cubes.

Step-by-step explanation:

5 0
3 years ago
Kim finds a 1-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and rem
True [87]

Answer:

3/5

Step-by-step explanation:

We want to find the fraction of the original branch that remains, so we will assume a length of the branch in order to make our calculation easier.

Since Kim marks it off in thirds and fifths, let's find the least common multiple of 3 & 5.

Least common multiple of 3 & 5 is 15.

Thus,let's make the length of the branch to be 15-meter long.

Now, if the branch is 15 m long, considering the markings of thirds and fifths, the branch would be cut at:

3, 5, 6, 9, 10, 12 meters.

We are told that She then breaks the branch along all the markings and removes one piece of every distinct length. Thus;

Distinct lengths are;

3 metres

5 - 3 = 2 metres

10 - 9 = 1 meter

Total she removes = 3 + 2 + 1 = 6 meters.

Total remaining is;

15 - 6 = 9 meters

Expressing this as a fraction of the original branch gives:

9/15

Divide both numerator and denominator by 3 to get; 3/5

7 0
3 years ago
Simplify the expression in exponential notation.<br><br> a • a • a
vladimir2022 [97]

the answer would be a³

8 0
3 years ago
Read 2 more answers
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