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gayaneshka [121]
1 year ago
10

The sum of three numbers is 100. The second number is 2 times the third. The third number is 8 less than the first. What are the

numbers?
Mathematics
1 answer:
8_murik_8 [283]1 year ago
6 0

Answer:

Step-by-step explanation:x+y+z=100(let x ,y,z represent the first second and third numbers respectively)

Therefore,y=2z

z=x-8

y=2x-16

substituting the values of x,y and z into the question,we have

x+(2x-16)+(x-8)=100

Simplifying,we have

4x-24=100

adding 24 to both sides of the equation,

4x=100+24

4x=124

dividing both sides of the equation by the co-efficient of x,we have

4x/4=124/4

4.31=124

therefore,x=31.

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Nostrana [21]

Answer:

150°

Step-by-step explanation:

To find the sum of all the interior angles in a regular polygon, us this formula, where n is the number of sides: (n-2)*180

(12-2)=10

10*180=1800

Now we have the sum of all the angles. But we aren't done yet! We have to divide this value by the number of sides to find the measure of one angle.

So,

1800/12=

150

Hope this helps!

5 0
2 years ago
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The fish population in a local stream is decreasing at a rate of 3% per year. The original population was 48,000. Write an expon
ElenaW [278]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

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<u>First, to calculate the future value, we need to use the following decrease exponential formula:</u>

<u />

FV= PV*[(1+d)^-n]

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8 0
3 years ago
There are 4 jacks and 13 clubs in a standard, 52-card deck of playing cards. What is the probability that a card picked at rando
Tju [1.3M]

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With 13 clubs in the deck, there is a 13/52 = 1/4 probability of drawing 1 card of clubs.

1 of the cards in the deck is both a jack and of suit of clubs, which has a 1/52 probability of being drawn.

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3 0
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3 years ago
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Write the equation of a straight line passing through the point (1,8) and perpendicular to y=3x+2
Neko [114]
Hello there!

The first thing you must do is to find the slope of the line. To do this, find the negative reciprocal of your current equation. Since your current slope is 3, the negative reciprocal of that would be -1/3, which would be your slope.

Now that you have your slope, plug it into the slope intercept equation as well as your known points:
(1,8)  m(slope)=-1/3
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Now, solve for b:
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