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Travka [436]
3 years ago
15

1. Solve for x. Show your solution and justify every step.

Mathematics
1 answer:
Paha777 [63]3 years ago
8 0

Given:

The equation is

4(x-3)+5=17

To find:

The solution of given equation.

Solution:

We have,

4(x-3)+5=17

Using distributive property, we get

4(x)+4(-3)+5=17

4x-12+5=17

4x-7=17

Adding 7 on both sides, we get

4x-7+7=17+7

4x=24

Divide both sides by 4.

x=\dfrac{24}{4}

x=6

Therefore, the value of x is 6.

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Ann and Ruth bowled together and had a combined score of 410 points. Ann's score was 44 points less than Ruth's score. Write a s
masha68 [24]

Answer:

x=y-44 and x+y=410

Step-by-step explanation:

So, you want to use the equations x=y-44 and  x+y=410 when x is Ann's score and y is Ruth's score. This is because x (Ann's score) is Ruth's score (y) but 44 less, so you subtract y-44 to get x. Then x+y would also have to equal 410 so that's the other equation. Graphing the 2 equations gets you to the point  (183,227) in which Ann's score is 183 points and Ruth's score is 227 points.

3 0
3 years ago
Juan and Nina are in the Junior High Orchestra. As part of the orchestra they each have to learn two instruments. Juan is learni
Whitepunk [10]

Answer:

Nina practiced the viola for 11.25 hours last week.

Step-by-step explanation:

Juan practiced the violin for 9 hours last week. For each 3 hours that he practices the violin, he practices 2.5 hours of cello. So

3h violin - 2.5h cello

9h violin - xh cello

3x = 9*2.5

x = 7.5

He practiced 7.5 hours of cello, the same as Nina.

For every 3 hours Nina spends practicing the viola she practices the cello for 2 hours. So:

3h viola - 2h cello

xh viola - 7.5h cello

2x = 3*7.5

x = 7.5*1.5

x = 11.25

Nina practiced the viola for 11.25 hours last week.

3 0
3 years ago
The soution to -2 (1-4x)=3x+8 is<br> a 6/11<br> b 2 <br> c -10/7<br> d -2
alexandr1967 [171]
2


Mark brainliest please


Hope this helps


6 0
3 years ago
Read 2 more answers
|-5| |-9| <br> is it greater, less than, or equal to<br> &lt;, &gt;, = ??!?!
Katyanochek1 [597]

Answer:

< (less than)

Step-by-step explanation:

since abs value changes it to positive it would be

5 and 9

5 < 9

3 0
3 years ago
Read 2 more answers
Using a Line to Find a Point-Slope Equation and the Equivalent Function A coordinate grid with a line passing through the points
RoseWind [281]

Answer:

y = x/4 -1/2

Step-by-step explanation:

given coordinates : ( -2, -1 ) and ( 2 , 0 )

gradient = y2 - y1 / x2 - x1

               = 0 - -1 / 2 - -2

               = 1/4

equation of line:

y - y1 = m( x - x1 )

y - 0 = 1/4 ( x - 2 )

y = x/4 -1/2

the line shown below to confirm:

5 0
2 years ago
Read 2 more answers
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