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2 years ago

If the cost of 100 copies is $3.10, how many copies can be made for $155?

1 answer:

3 0

Given that: 100 copies = $3.10

Find cost of 1 copy:
1 copy = $3.10 ÷ 100 = $0.031

Find the cost of 155 copies: 
155 copies = $0.031 x 155 = $4.81 (nearest hundredth)

Answer: $4.81

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Help me with this problem !!!!!!!!!!

Mamont248 [21]

Answer:

Hi, your answer is y= $-\frac{1}{2} x$ -3

Step-by-step explanation:

We will use the slope-intercept formula which is

$\frac{y2-y1}{x2-x1}$

We will use two points in this case I'll use

(-2,-2) and (-8,1)

$\frac{1-(-2)}{-8-(-2)}$ = $-\frac{3}{6}$ which can be simplified as $-\frac{1}{2}$

Your Y will be -3

which your final answer will be y=-1/2x-3

Hope this helps :)

3 0

3 years ago

Use any of the methods to determine whether the series converges or diverges. Give reasons for your answer.

Aleks [24]

Answer:

It means $\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}$ also converges.

Step-by-step explanation:

The actual Series is::

$\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}$

The method we are going to use is comparison method:

According to comparison method, we have:

$\sum_{n=1}^{inf}a_n\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n$

If series one converges, the second converges and if second diverges series, one diverges

Now Simplify the given series:

Taking"n^2"common from numerator and "n^6"from denominator.

$=\frac{n^2[7-\frac{4}{n}+\frac{3}{n^2}]}{n^6[\frac{12}{n^6}+2]} \\\\=\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{n^4[\frac{12}{n^6}+2]}$

$\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n=\sum_{n=1}^{inf} \frac{1}{n^4}$

Now:

$\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\ \\\lim_{n \to \infty} a_n = \lim_{n \to \infty} \frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\=\frac{7-\frac{4}{inf}+\frac{3}{inf}}{\frac{12}{inf}+2}\\\\=\frac{7}{2}$

So a_n is finite, so it converges.

Similarly b_n converges according to p-test.

P-test:

General form:

$\sum_{n=1}^{inf}\frac{1}{n^p}$

if p>1 then series converges. In oue case we have:

$\sum_{n=1}^{inf}b_n=\frac{1}{n^4}$

p=4 >1, so b_n also converges.

According to comparison test if both series converges, the final series also converges.

It means $\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}$ also converges.

5 0

3 years ago

Joey and his family plan to visit the grand canyon, Yellowstone national park and the Washington monument. They will travel 1,32

Butoxors [25]

Answer:

4335

Step-by-step explanation:

Its the answer i did the test once give brainliest

8 0

3 years ago

Evaluate the expression below when y = -3.

Rudik [331]

Start with the given equation:
$2y+7$
Substitute known values:
$2(-3)+7$
Evaluate:
$-6+7=1$

Similarly:
$-4y-10$
$-4(-3)-10$
$12-10=2$

8 0

3 years ago

Read 2 more answers

Zak buys 6 gallons of fruit punch. He has

sesenic [268]

$8.70 is the total cost without the coupons. He gets 6 gallons. He gets $0.55 off per gallon.

To find the total price Zak got off, multiply 6 and $0.55. 6 x $0.55 = $3.30, so he got $3.30 off.

To find the total price. Add the total cost without the coupons + the amount the coupons saved him.
$8.70 + $3.30 = $12

To find the price per one gallon, divide the total price / number of gallons

$12/6 = $2. The regular price is $2 a gallon

3 0

2 years ago