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topjm [15]
4 years ago
7

One-sixth the sum of eight and a number

Mathematics
1 answer:
Aleks04 [339]4 years ago
7 0

Step-by-step explanation:

Let the number be x.

<u>1</u><u> </u> =8 + x

6

6×<u>1</u>=6×8+6×x

6

1=48+6x

1-48=6x

<u>-</u><u>4</u><u>7</u>=<u>6</u><u>x</u>

6. 6 x = -7 <u>5</u>

6

x is equal to minus seven whole number five divided by six.

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PWhat are the x- and y-intercepts of the line y = 4x + 12?
sashaice [31]

Answer:

B

Step-by-step explanation:

when x is 0 y=4(0)+12 y=12

y is 0 y=4(-3) +12 = 12=12

4 0
2 years ago
If equation one is mutiplied by 2 and then the equations are added the result is 2x+y=3 X-2y=-1
zloy xaker [14]

Question:

2x + y = 3, x - 2y = –1.

If equation one is multiplied by 2 and then the equations are added, the result is _____.

(A) 3x = 2

(B) 3x = 5

(C) 5x = 5

Answer:

Option C:

5x = 5

Solution:

Given equations are

2x + y = 3 – – – – (1)

x – 2y = –1 – – – – (2)

Let us first multiply equation (1) by 2, we get

(1) × 2 ⇒ 4x + 2y = 6 – – – – (3)

Now, add equation (3) to equation (2).

⇒ x – 2y + 4x + 2y = –1 + 6

Combine like terms together.

⇒  x + 4x – 2y  + 2y = –1 + 6

⇒ 5x = 5

So, if equation one is multiplied by 2 and then the equations are added, the result is 5x = 5.

8 0
4 years ago
Use an equation to find the value of k so that the line passing through (−4,k) and (6,−7) has a slope of −1/5.
Virty [35]

Answer:

k = -5

Step-by-step explanation:

Hi there!

m=\displaystyle \frac{y_2-y_1}{x_2-x_1} where the two points are (x_1,y_1) and (x_2,y_2)

Plug in the given information:

\displaystyle -\frac{1}{5}= \displaystyle \frac{-7-k}{6-(-4)} \\\\\displaystyle -\frac{1}{5}= \displaystyle \frac{-7-k}{6+4} \\\\\displaystyle -\frac{1}{5}= \displaystyle \frac{-7-k}{10} \\\\\displaystyle -\frac{2}{10}= \displaystyle- \frac{-7-k}{10} \\\\-2=-7-k\\k=-5

I hope this helps!

3 0
3 years ago
Read 2 more answers
Diana goes on vacation with $260. Each day, she spends the same amount of
Ber [7]
She has 860 dollars after vacation
8 0
3 years ago
Jake joins a soccer club. There is a registration fee of $35 dollars, and a charge of $60 a month. If m is the number of months
kow [346]

Answer:

c=60m+35

Step-by-step explanation:

c is the cost so it should be equal to and 60 a month so 60m and +35

6 0
2 years ago
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