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2 years ago

An accessories store sells $8 custom socks and $11 custom hats. If 11 items were sold on Monday, and the

Mathematics

1 answer:

Vanyuwa [196]2 years ago

7 0

Answer:

7 socks were sold

Step-by-step explanation:

7*8=56

11-7=4

4×11=44

56+44=100

This proves the answer of 7 to be correct

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Simplify

OlgaM077 [116]

Answer:

see below

Step-by-step explanation:

$\frac{x-1}{x^2-3x+2}+ \frac{x-2}{x^2-5x+6} +\frac{x-5}{x^2-8x+15}$

we need to simplify that

$x^2-3x+2=(x-1)(x-2)\\\\x^2-5x+6=(x-2)(x-3)\\\\x^2-8x+15=(x-3)(x-5)$

so we can continue

$\frac{x-1}{(x-1)(x-2)}=\frac{1}{x-2}\\\\\frac{x-2}{(x-2)(x-3)} =\frac{1}{x-3}\\\\\frac{x-5}{(x-3)(x-5)} =\frac{1}{x-3}$

and we can put all together

$\frac{1}{x-2}+ \frac{1}{x-3}+ \frac{1}{x-3}\\\\\frac{1}{x-2} +\frac{2}{x-3}\\\\\frac{x-3}{(x-3)(x-2)}+ \frac{2(x-2)}{(x-2)(x-3)} \\\\\frac{x-3+2x-4}{(x-3)(x-2)}\\\\\frac{3x-7}{x^2-5x+6}$

3 0

3 years ago

The pencil factory can sort 165 pencils into boxes in 1

prohojiy [21]

Answer:

237600

Step-by-step explanation:

do 165 x 1440

7 0

2 years ago

Divide the expressions then simplify

Helga [31]

The numbers are unclear, please repost.

Thanks!

Brainliest?

6 0

1 year ago

Select the correct answer from the drop-down menu.

m_a_m_a [10]

Answer:

They will work together and print 200 T-shirts in 37.5 minutes.

Step-by-step explanation:

One machine can print 200 T-shirts in 50 minutes.

So, in one minute that machine can print $\frac{200}{50} = 4$ T-shirts.

Again, the other machine can print 200 T-shirts in 150 minutes.

So, in one minute the other machine can print $\frac{200}{150} = 1.33$ T-shirts.

Therefore, working together for one minute both the machines will print (4 + 1.33) = 5.33 number of T-shirts.

Hence, they will work together and print 200 T-shirts in $\frac{200}{5.33} = 37.5$ minutes. (Answer)

3 0

2 years ago

Write the sum using summation notation, assuming the suggested pattern continues.

Lina20 [59]

<u>ANSWER</u>

$\sum _{n = 1} ^{18} (6n - 15)$

<u>EXPLANATION</u>

The given series

$- 9 - 3 + 3 + 9 + ... + 81$

This is an arithmetic series with a common difference of

$d = - 3 - - 9 = 6$

The first term of the series is:

$a_1 = - 9$

The general term is given by:

$a_n =a_1 + d(n - 1)$

$a_n = - 9+ 6(n - 1)$

$a_n = - 9+ 6n - 6$

$a_n =6n - 15$

The last term is 81

We can use this to determine the number of terms in the series.

$81=6n - 15$

$81 + 15=6n$

$6n = 96$

$n = \frac{96}{6} = 16$

The summation notation is:

$\sum _{n = 1} ^{18} (6n - 15)$

4 0

3 years ago