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steposvetlana [31]
3 years ago
7

Simplify 8 (y +1 ) - 2 (x + 3)

Mathematics
2 answers:
melomori [17]3 years ago
8 0

Answer:

8y - 2x + 2

Step-by-step explanation:

Distribute;

8y + 8 - 2x - 6

Combine like terms;

8y - 2x + 2

alexdok [17]3 years ago
4 0

Answer:

8y+2-2x

Step-by-step explanation:

Use the distributive property to multiply 8 by y+1.

8y+8−2(x+3)

Use the distributive property to multiply −2 by x+3.

8y+8−2x−6

Subtract 6 from 8 to get 2.

8y+2−2x

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The area of a regular octagon is 35 cm^2. What is the area of a regular octagon with sides five times as long?
Marat540 [252]
So... let's say the smaller regular octagon has sides of "x" long, then the larger octagon will have sides of 5x.

\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\

\bf \cfrac{small}{large}\quad \stackrel{area~ratio}{\cfrac{s^2}{s^2}}\implies \stackrel{area~ratio}{\cfrac{x^2}{(5x)^2}}\implies \stackrel{area~ratio}{\cfrac{x^2}{5^2x^2}}\implies \stackrel{area~ratio}{\cfrac{\underline{x^2}}{25\underline{x^2}}}=\stackrel{area~ratio}{\cfrac{35}{a}}
\\\\\\
\cfrac{1}{25}=\cfrac{35}{a}\implies a=\cfrac{25\cdot 35}{1}
3 0
3 years ago
Veronica is self employed. In one year, Veronica generates a gross income of $65,500. When calculating her taxes, Veronica is al
butalik [34]

Answer:

$44,850

Step-by-step explanation:

Gross income is $65,500

Allowable deductions are $2,500

Operating income is $65,500-$2,500=$63,000

From the given tax structure, Veronia will pay 15% for the first $25,000 then 30% for $63,000-$25,000=$38,000

Tax will be (0.15*$25,000)+(0.3*$38,000)=$15,150

Remaining expenses will be $5,500-$2,500=$3,000

Income after tax will be $63,000-$15,150=$47,850

Net income=$47,850-$3,000=$44,850

<u>Ans=$44,850</u>

7 0
3 years ago
Look at this system of equations.<br> 2x +5 =9.5<br> 3x + 5y =10.5<br> What is the value of x+y
stiv31 [10]

Answer:

x = 2.25 y = 0.75

Step-by-step explanation:

2x = 9.5- 5

2x = 4.5

x = 4.5 ÷ 2

x = 2.25

know we now what is x so in the second one we evaluate x

3(2.25) + 5y = 10.5

6.75 + 5y = 10.5

5y = 10.5- 6.75

5y = 3.75

y = 3.75 ÷ 5

y = 0.75

that's it !

if you want to check your answer you can evaluate x and y so it will be like

2×2.25 + 5

= 4.5 + 5 = 9.5

and

3× 2.25 +5×0.75

= 6.75 + 3.75 = 10.5

6 0
3 years ago
43 POINTS IF U DO THIS! + ILL MARK BRAINLIEST!
gavmur [86]

Answer:

The second one

210 lbs

Step-by-step explanation:

The difference between 7 and 4 is 3

90/3 = 30

30 times 7 = 210

8 0
3 years ago
Read 2 more answers
What bag is heavier 2 kilograms or 3000grams​
pav-90 [236]

3000 grams because 2 kilograms is 2000 grams and 3000 is greater than 2000

3 0
3 years ago
Read 2 more answers
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