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omeli [17]
3 years ago
14

Find the common difference of the arithmetic sequence 13, 16, 19,...13,16,19,...

Mathematics
1 answer:
VLD [36.1K]3 years ago
4 0

Answer:

the common difference is plus 3

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What is the x-value of the solution to the system of equations?
ValentinkaMS [17]

Answer:

The solution to the system of equations is:

x=4,\:y=-3

Step-by-step explanation:

Given the system of equations

5x + 4y =8

2x- 3y = 17

solving the system of equations

\begin{bmatrix}5x+4y=8\\ 2x-3y=17\end{bmatrix}

\mathrm{Multiply\:}5x+4y=8\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:10x+8y=16

\mathrm{Multiply\:}2x-3y=17\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:10x-15y=85

\begin{bmatrix}10x+8y=16\\ 10x-15y=85\end{bmatrix}

10x-15y=85

-

\underline{10x+8y=16}

-23y=69

\begin{bmatrix}10x+8y=16\\ -23y=69\end{bmatrix}

solve for y

-23y=69

Divide both sides by -23

\frac{-23y}{-23}=\frac{69}{-23}

y=-3

\mathrm{For\:}10x+8y=16\mathrm{\:plug\:in\:}y=-3

10x+8\left(-3\right)=16

10x-24=16

10x=40

Divide both sides by 10

\frac{10x}{10}=\frac{40}{10}

x=4

Thus, the solution to the system of equations is:

x=4,\:y=-3

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Answer:

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How much of the circle is shaded? Write your answer as a fraction in simplest form
Valentin [98]

Answer:

11/20

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Finding the common denominator, which is 20, we convert 1/5 into 4/20 and 1/4 into 5/20. Adding those up, the remainder when subtracted from 1, the total, is 11/20.

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