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2 years ago

Solve for x: 10x – 3 + x < 30

Mathematics

2 answers:

Pachacha [2.7K]2 years ago

6 0

Answer:

x = 2

Step-by-step explanation:

10×2-3+2<30

Mars2501 [29]2 years ago

5 0

Answer:

X is...

Step-by-step explanation:

10x – 3 + x < 30

11x - 3 < 30 (add the one x to the 10)

11x < 33 (add the 3 to the 30)

x < 3 (divide both sides by 11 and the final number is the answer)

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2 years ago

An 8-foot ladder leans against a wall and makes a 53° angle with the wall. Which is closest to the distance up the wall the ladd

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Step-by-step explanation:

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2 years ago

All of these pleaseeeeeeeeee

kenny6666 [7]

Solving Two- Step Equations:
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2 years ago

Total mass vs. numbers of cd and numbers of cd

Gekata [30.6K]

Answer: Choice A) M = 0.25n + 100

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Explanation:

For now, I'll treat n as x, and M as y.

In other words,

x = number of CDs
y = total mass in kg

Let's select two points from this graph. I'll pick (200,150) and (400,200)

The slope of the line through those points is

m = (y2-y1)/(x2-x1)

m = (200-150)/(400-200)

m = 50/200

m = 0.25

Now we'll use the point (x,y) = (200,150) along with that slope value to find the y intercept b

y = mx+b

150 = 0.25*200+b

150 = 50+b

150-50 = b

100 = b

b = 100

You could also use (x,y) = (400,200) and you should get the same b value.

In fact, any other point from this graph works as well.

------------------------------

Since m = 0.25 and b = 100, we go from y = mx+b to y = 0.25x+100

This then translates over to M = 0.25n + 100 which is choice A

To help verify this, let's say we plugged in n = 100

M = 0.25*n + 100

M = 0.25*100 + 100

M = 25 + 100

M = 125

Which is confirmed by what the graph shows. I'll let you check the other points as well.

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3 years ago

Last Question<br> (You can ignore this sentence)

Harrizon [31]

3y-20+x+13=3x+9
3y-20+x+13+2y=180

3y-7+x=3x+9
3y=2x+16
y=2/3x+16/3

5y+x=187
5(2/3x+16/3)+x=187
10/3x+80/3+x=187
13/3x=481/3

x=37

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2 years ago