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ss7ja [257]
3 years ago
8

Can you explain how to do this

Mathematics
1 answer:
zaharov [31]3 years ago
3 0

Answer:

-18x+89

Step-by-step explanation:

Here's why simple to simplify this expression we heave to first get rid of the parentheses so we distribute the 9. So we get:7-18x+81+1.

Now we can simplify easily:-18x+89


If this helps hit Thank button!

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Ms. McCormick keeps a rectangular recycling bin for used paper in her classroom. The area of the bottom of the bin is 400 square
aniked [119]

According to the dimensions given, the volume of paper in the recycling bin is of 6800 cubic inches.

<h3>What is the volume of a rectangular prism?</h3>

It is given by the multiplication of the base area by the height, that is:

V = S_bh

In this problem, we have that the measures in square inches and inches, respectively, are given by:

S_b = 400, h = 17

Hence:

V = 400 \times 17 = 6800

The volume of paper in the recycling bin is of 6800 cubic inches.

More can be learned about the volume of a rectangular prism at brainly.com/question/17223528

3 0
2 years ago
PLEASE HELP god bless Justify each step of the solution by stating the property that was used to get to each step. Given: 4(-6x
baherus [9]

4(-6x – 3) + 24x = -72x + 132


Step 1  -24x – 12 + 24x = -72x + 132    Distribute Property of Equality


Step 2: –12 = -72x + 132    equivalent


Step 3: -144 = -72x    Subtraction Property of equality


Step 4: 2 = x   Equivalent / Division property of equality



6 0
3 years ago
Find the sum of the first 25 terms in this geometric series:<br> 8 + 6 + 4.5...
Ksivusya [100]

Step-by-step explanation:

Given the geometric sequence

8 + 6 + 4.5...

A geometric sequence has a constant ratio and is defined by

a_n=a_1\cdot r^{n-1}

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}

\frac{6}{8}=\frac{3}{4},\:\quad \frac{4.5}{6}=\frac{3}{4}

\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}

r=\frac{3}{4}

\mathrm{The\:first\:element\:of\:the\:sequence\:is}

a_1=8

\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:

a_n=8\left(\frac{3}{4}\right)^{n-1}

\mathrm{Geometric\:sequence\:sum\:formula:}

a_1\frac{1-r^n}{1-r}

\mathrm{Plug\:in\:the\:values:}

n=25,\:\spacea_1=8,\:\spacer=\frac{3}{4}

=8\cdot \frac{1-\left(\frac{3}{4}\right)^{25}}{1-\frac{3}{4}}

\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}

=\frac{\left(1-\left(\frac{3}{4}\right)^{25}\right)\cdot \:8}{1-\frac{3}{4}}

=\frac{8\left(-\left(\frac{3}{4}\right)^{25}+1\right)}{\frac{1}{4}}

\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}

=\frac{8\left(-\frac{3^{25}}{4^{25}}+1\right)}{\frac{1}{4}}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}

=\frac{\left(1-\frac{3^{25}}{4^{25}}\right)\cdot \:8\cdot \:4}{1}

\mathrm{Multiply\:the\:numbers:}\:8\cdot \:4=32

=\frac{32\left(-\frac{3^{25}}{4^{25}}+1\right)}{1}

=\frac{32\cdot \frac{4^{25}-3^{25}}{4^{25}}}{1}               ∵ \mathrm{Join}\:1-\frac{3^{25}}{4^{25}}:\quad \frac{4^{25}-3^{25}}{4^{25}}

=32\cdot \frac{4^{25}-3^{25}}{4^{25}}

=\frac{\left(4^{25}-3^{25}\right)\cdot \:32}{4^{25}}

=\frac{2^5\left(4^{25}-3^{25}\right)}{2^{50}}        ∵ \mathrm{Factor}\:32:\ 2^5,  \mathrm{Factor}\:4^{25}:\ 2^{50}

so

=\frac{4^{25}-3^{25}}{2^{45}}        ∵ \mathrm{Cancel\:}\frac{\left(4^{25}-3^{25}\right)\cdot \:2^5}{2^{50}}:\quad \frac{4^{25}-3^{25}}{2^{45}}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a\pm \:b}{c}=\frac{a}{c}\pm \frac{b}{c}

=\frac{4^{25}}{2^{45}}-\frac{3^{25}}{2^{45}}      

=32-\frac{3^{25}}{2^{45}}            ∵  \frac{4^{25}}{2^{45}}=32

=32-0.024        ∵  \frac{3^{25}}{2^{45}}=0.024

=31.98            

Therefore, the sum of the first 25 terms in this geometric series: 31.98

3 0
3 years ago
Find 1 3/5 + 1 1/3 iready
Arisa [49]
20 plus 24
Divided by 15
Which gets you to
44 over 15 or 2 wholes and 14 over 15
5 0
2 years ago
Read 2 more answers
What's 11 2/3 times 2/3
snow_tiger [21]
7 7/9
chamge 11 2/3 to improper faction and multiply <span />
8 0
3 years ago
Read 2 more answers
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