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Marina86 [1]
3 years ago
9

Three times the sum of y and 8 is 51

Mathematics
1 answer:
sergejj [24]3 years ago
7 0
In an equation, the phrase "three times the sum of y and 8 is 51" means: 3(y + 8) = 51.

First, distribute 3(y + 8) by multiplying the 3 into the parentheses. You are left with 3y + 24 = 51. To simplify further, subtract 24 from both sides because both do not have variables and you need to get rid of the 24 on the left.

3y + 24 - 24 = 51 - 24

3y = 51

Now, divide by 3 on both sides to leave y by itself.

3y / 3 = 51 / 3

y = 17

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Verdich [7]
40 dimes is $4.00. you would need $1 in nickles. 2 nickles is 10 cents. so you would need 20 nickles.

10x+160=300
      -160  -160
10x=140
divide both sides by 10
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$14
8 0
3 years ago
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Point A is located at (5, 6) and point B is located at (8, −2) . What are the coordinates of the point that partitions the direc
alekssr [168]

Answer:

(6, 3 1/3)

Step-by-step explanation: Split this problem into x and y parts. In x direction, the length of the AB is (8-5)=3. So 1/3 from A would be 5+1/3(8-5)=6

In y, AB goes from 6 to -2, so the coordinate changes by (-2-6)=-8 units.

1/3 along this ling will be 6 + 1/3 (-2-6)=6-2 2/3=3 1/3

5 0
3 years ago
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What does this equal to -31 + 4x = -2x + 35
romanna [79]

Answer:

<u><em>x=11</em></u>

Step-by-step explanation:

-31+4x=-2x+35

+31

4x=-2x+66

+2x

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5 0
3 years ago
What's the answer to x/9=5/11
Y_Kistochka [10]
Given : \dfrac{x}{9}=\dfrac{5}{11}


Multiply by ( 9 x 11 ) i.e. 99 on both sides,
=  >  \dfrac{x}{9}  \times 99 =  \dfrac{5}{11}  \times 99 \\  \\  \\  =  > x \times 11 = 5 \times 9 \\  \\  =  >x =  \frac{5 \times 9}{11}  \\  \\  \\  =  > x =  \frac{45}{11}


Therefore the numeric value of x is 45 / 11.
3 0
3 years ago
If (x + 2)2 + (y − 5)2 = 25 is the equation of a circle, which statement describes the circle's graph?
True [87]

The equation of a circle:

(x-a)^2+(y-b)^=r^2

(a, b) - center of the circle

r - radius

We have:

(x+2)^2+(y-5)^2=25\\\\(x-(-2))^2+(y-5)^2=5^2\\\\(-2,\ 5)\to center\\5\to radius

6 0
3 years ago
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