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Black_prince [1.1K]
3 years ago
14

If it takes 5 1/7 yards of material to make a pillow cover, how much material will be needed to make 9 pillow covers?

Mathematics
1 answer:
s2008m [1.1K]3 years ago
3 0

\text{Answer: }46\frac{2}{7}\text{ yards is needed to make 9 pillow covers.}

Step-by-step explanation:

Since we have given that

Material needed to make a pillow cover is given by

5\frac{1}{7}\ yards=\frac{36}{7}\ yards

We need to calculate the material which will be needed to make 9 pillows covers.

So, we use the "Multiplication Operation" as we need the value for more pillow covers :

9\times \frac{36}{7}\\\\=\frac{324}{7}\\\\=46\frac{2}{7}\ yards

\text{Hence, }46\frac{2}{7}\text{ yards is needed to make 9 pillow covers.}

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4x +8=2x + 3x +3 solve for x
velikii [3]

Answer:

x=5

Step-by-step explanation:

4x+8=2x+3x+3

2x+3x=5x

4x+8=5x+3

-4x

8=1x+3

-3

5=1x

5/1

x=5

4 0
3 years ago
Find the sum of the finite geometric series: 5 + 10 + 20 + ... +81,920.
Anestetic [448]

Answer:

No solution

Step-by-step explanation:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by  2  gives the next term. In other words,  <em>a n +a1 ⋅ r n -1</em><em> </em>

Geometric Sequence:<em>  </em><em>r = 2</em>

The series given has a value of<em>  </em><em>r  </em>such that <em>r  >  1  or   r  <  −  1.</em> Therefore, the infinite sum cannot be calculated.<em> </em>

<em> </em>

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8 0
2 years ago
James sold 450 tickets for the community play. Tickets for children cost $2, and tickets for adults cost $5. James sold $1,800 w
nlexa [21]

Answer:

<u>James sold 300 tickets for adults</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of tickets sold by James = 450

Cost of a child ticket = $ 2

Cost of an adult ticket =$ 5

Amount of money collected by James after selling the 450 tickets for the community play = $ 1,800

2. How many tickets for adults did James sell?

x = Number of adult tickets James sold

450 - x = Number of children tickets James sold

For solving for x, we write this equation:

5x + 2 * (450 - x)  = 1,800

5x + 900 - 2x = 1,800

3x = 1,800 - 900

3x = 900

x = 900/3 = 300

450 - x = 450 - 300 = 150

<u>James sold 300 tickets for adults and 150 for children</u>

7 0
3 years ago
Using the Principle of Mathematical Induction, prove that . n ^2 − n is even for n ≥ 1​
Tamiku [17]

Base case: if <em>n</em> = 1, then

1² - 1 = 0

which is even.

Induction hypothesis: assume the statement is true for <em>n</em> = <em>k</em>, namely that <em>k</em> ² - <em>k</em> is even. This means that <em>k</em> ² - <em>k</em> = 2<em>m</em> for some integer <em>m</em>.

Induction step: show that the assumption implies (<em>k</em> + 1)² - (<em>k</em> + 1) is also even. We have

(<em>k</em> + 1)² - (<em>k</em> + 1) = <em>k</em> ² + 2<em>k</em> + 1 - <em>k</em> - 1

… = (<em>k</em> ² - <em>k</em>) + 2<em>k</em>

… = 2<em>m</em> + 2<em>k</em>

… = 2 (<em>m</em> + <em>k</em>)

which is clearly even. QED

8 0
3 years ago
What two numbers when added equal 25 and when multiplied = -200
Igoryamba
The numbers are irrational, so I can't write them exactly with digits.
When rounded to the nearest ten-thousandth, they are

       31.3746
and
       -6.3746 .
3 0
3 years ago
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