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Elden [556K]
3 years ago
8

there are 4 planets. the first planet has an orbit of 3 years. The second planet has an orbit of 5 years. The third planet has a

n orbit of 8 years. The fourth planet has an orbit of 12 years. if there in conjunction how long till they're in conjunction again? math problem answer
Mathematics
1 answer:
Margarita [4]3 years ago
6 0

Find the LCM of the four numbers (3, 5, 8, 12)

3: 3

5: 5

8: 2 * 2 * 2

12: 2 * 2 * 3

LCM = 2 * 2 * 2 * 3 * 5

        = 120

Answer: 120 years


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ithink its a or c

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\textbf{The slope of the parallel line is given by $ 2 $}\\

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3 years ago
A store is having a sale on trail mix and jelly beans. For 7 pounds of trail mix and 9 pounds of jelly beans, the total cost is
Vlad [161]

Answer:

The cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.

Step-by-step explanation:

Let each pound of trail mix cost x dollars and each pound of jelly beans cost y dollars.

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7 pounds of trail mix and 9 pounds of jelly beans cost $ 37.

So, 7x+9y=37--------------- 1

Also, 5 pounds of trail mix and 3 pounds of jelly beans cost $ 17.

So, 5x +3y=17--------------- 2

Multiplying equation 2 by -3, we get

(5x +3y=17)\times -3\\-15x-9y=-51-------- 3

Now, adding equations 1 and 3, we get

7x+9y-15x-9y=37-51\\7x-15x=-14\\-8x=-14\\x=\frac{-14}{-8}=\$1.75

Now, plug in x=1.75 in equation 1 and solve for y.

7(1.75)+9y=37\\12.25+9y=37\\9y=37-12.25\\9y=24.75\\y=\frac{24.75}{9}\\ y=\$2.75

Therefore, the cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.

7 0
3 years ago
A car travelling at a constant speed travels 30 km in 25 minutes.
muminat

Answer:

162km

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sp=72km/h

time=21/4hr

dis= sp×time

72×9/4=162km

8 0
2 years ago
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