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IgorLugansk [536]
2 years ago
7

An 8/1/2 sheet of paper is being cut into 1/9/16 inch strips to make a paper chain. How many strips can be made from one sheet o

f paper
Mathematics
1 answer:
givi [52]2 years ago
3 0

The number of strips of 1 9/16 inches, that can be made from 8 1/2 inches of paper is <u>5 11/25</u>.

In the question, we are given that an 8 1/2 sheet of paper is being cut into 1 9/16 inch strip to make a paper chain.
We are asked the number of strips that can be made from one sheet of paper.

The size of the paper given to us is 8 1/2.

Converting this to an improper fraction, we get 8 1/2 = 17/2.

The size of the strip given to us is 1 9/16.

Converting this to an improper fraction, we get 1 9/16 = 25/16.

To find the number of strips, we just divide the total paper's size by the size of the strip, to get:

The number of strips = 17/2 ÷ 25/16,

or, the number of strips = 17/2 * 16/25,

or, the number of strips = 272/50,

or, the number of strips = 544/100,

or, the number of strips = 5 11/25.

Thus, the number of strips of 1 9/16 inches, that can be made from 8 1/2 inches of paper is <u>5 11/25</u>.

Learn more about fractions at

brainly.com/question/10862707

#SPJ1

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10x^3 y^-5 z^-2 if x=3 y=2 and z=5 express your answer as a reduced fraction
sineoko [7]

Answer:

\large\boxed{\dfrac{27}{80}}

Step-by-step explanation:

Put x = 3, y = 2 and z = 5 to the given expression 10x^3y^{-5}z^{-2}:

10(3^3)(2^{-5})(5^{-2})\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{10(27)}{(2^5)(5^2)}=\dfrac{270}{(32)(25)}=\dfrac{270}{800}=\dfrac{27}{80}

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3 years ago
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Answer:

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Step-by-step explanation:

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8 0
3 years ago
A group of friends were working on a student film that had a budget of $1140. They used 65% of their budget on costumes. How muc
Stells [14]

Answer:

They use 741 dollars

Step-by-step explanation:

Write 65% as

65/100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

65/100 of 1140 = 65/100× 1140

Therefore, the answer is 741

If you are using a calculator, simply enter 65÷100×1140 which will give you 741 as the answer.

4 0
3 years ago
If (x+yi)(1-3i)=10 <br> Then x+y=
Naily [24]

Answer:

x + y = 4

Step-by-step explanation:

Given that, (x + iy)(1 - 3i) = 10, then we have to calculate x + y.

Now, (x + iy)(1 - 3i) = 10

⇒ x(1 - 3i) + iy(1 - 3i) = 10

⇒ x - 3xi + iy - 3yi² = 10

⇒ (x + 3y) + i(y - 3x) = 10

Now, comparing the real and imaginary part of both sides we get,

(x + 3y) = 10 ............. (1) and

y - 3x = 0

⇒ y = 3x ............... (2)

Solving equations (1) and (2) we get

x + 3(3x) = 10

⇒ x = 1

So, y = 3x = 3

Therefore, x + y = 1 + 3 = 4 (Answer)

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3 years ago
Calculate A^2, given A=[tex]Given A=[−3 4/-2 0}
MatroZZZ [7]

Answer:

\large\boxed{A^2=\left[\begin{array}{ccc}1&-12\\6&-8\end{array}\right] }

Step-by-step explanation:

A=\left[\begin{array}{ccc}-3&4\\-2&0\end{array}\right]\\\\A^2=\left[\begin{array}{ccc}-3&4\\-2&0\end{array}\right] \cdot\left[\begin{array}{ccc}-3&4\\-2&0\end{array}\right] =\left[\begin{array}{ccc}(-3)(-3)+(4)(-2)&(-3)(4)+(4)(0)\\(-2)(-3)+(0)(-2)&(-2)(4)+(0)(0)\end{array}\right]\\\\A^2=\left[\begin{array}{ccc}1&-12\\6&-8\end{array}\right]

8 0
3 years ago
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