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Mandarinka [93]
2 years ago
9

3x-9=2(x-14) show me the steps to do this

Mathematics
2 answers:
padilas [110]2 years ago
7 0
3x-9=2x-28
3x-2x=9-28
x=-19
Leona [35]2 years ago
3 0

\\ \sf\longmapsto 3x-9=2(x-14)

\\ \sf\longmapsto 3x-9=2x-28

\\ \sf\longmapsto 3x-2x=-28+9

\\ \sf\longmapsto x=-19

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If M(x, y) is the midpoint of AB with A(3, 5) and B(-4, 8), then which Quadrant is M located in? (Points : 1) Quadrant I Quadran
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3 years ago
A 12​-tooth gear on a motor shaft drives a larger gear having 42 teeth. If the motor shaft rotates at 700 ​rpm, what is the spee
nata0808 [166]

Answer:

203 rpm

Step-by-step explanation:

The speed of the larger gear can be calculated using the following equation:

v = \omega*R  

<u>Where</u>:

ω: is the angular velocity of the motor = 700 rpm

R: is the gear ratio

The gear ratio is the following:

R = \frac{n_{(a)}}{n_{(b)}}  

<u>Where:</u>

n(a): is the number of teeth on the small gear = 12 teeth  

n(b): is the number of teeth on the larger gear = 42 teeth

The gear ratio is:

R = \frac{12}{42} = 0.29

Now, the speed of the larger gear is:

v = \omega*R = 700 rpm*0.29 = 203 rpm

Therefore, the speed of the larger gear is 203 rpm.

I hope it helps you!                        

3 0
3 years ago
Suppose that a student needs to buy 6 books for her history course. the number of books that she will be able to find used is a
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Please see attached:

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8 0
3 years ago
Sid starts with savings of £13
MAVERICK [17]

Answer:

The savings of Sid and Tim will be in 17:9 in 6 weeks.

Step-by-step explanation:

Initial savings of Sid = £ 13

Initial savings of Tim = £ 0

For each successive week Sid saved = £ 3.5

For each successive week Tim saved = £ 3

Let us assume that after "x weeks" the amounts of Sid and Tim are in ratio 17:9.

If Sid saves £ 3.5 in one week, in x weeks he will £ 3.5x. Since he had £ 13 initially, total amount he would have in x weeks will be £ (13 + 3.5x)

If Time saves £ 3 one week, in x weeks he will save £ 3x. Since, he didn't have any money initially, in x weeks he would have saved £ 3x

The ratio of their savings in x weeks would be 17:9

So,

Sid's saving : Tim's saving = 17 : 9

Using the values of expressions, we get:

13+3.5x:3x=17:9\\\\\frac{13+3.5x}{3x}=\frac{17}{9}\\\\ 9(13+3.5x)=17(3x)\\\\ 117+31.5x=51x\\\\ 117=51x-31.5x\\\\ 117=19.5x\\\\ x=\frac{117}{19.5}\\\\ x=6

This means, the savings of Sid and Tim will be in 17:9 in 6 weeks.

5 0
3 years ago
Which value of a in the exponential function below would cause the function to stretch?
maxonik [38]

Answer:

“1.5”

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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