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jolli1 [7]
2 years ago
5

Westley and Buttercup are each saving money. Westley starts with $85 in in his savings and add $5 per week (y=85+5x)

Mathematics
1 answer:
love history [14]2 years ago
5 0

Answer:

After 5 weeks.

Step-by-step explanation:

Westley starts with $85 and saves $5 per week. So:

y=85+5x

Buttercup starts with $10 and saves $20 per week. So:

y=10+20x

When they have the same amount of money, the two equations will be equal to each other. Therefore:

85+5x=10+20x

Solve for x. Subtract 10 from both sides:

75+5x=20x

Subtract 5x from both sides:

75=15x

Divide both sides by 15:

x=5

Westley and Buttercup will have the same amount of money after 5 weeks.

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A cone and a cylinder have the same height and their bases are congruent circles
sveticcg [70]

Answer:

30 cm^3

Step-by-step explanation:

Given

radius for both shape = r

height  for both shape = h

volume of cylinder is given by \pi r^2h

volume of cone is given by 1/3(\pi r^2h)

From above two equation we can see that  \pi r^2h is volume of cylinder

thus we can say that volume of cone is 1/3(volume of cylinder)

So we can say that for any cylinder and cone whose height is same and base is congruent

volume of cone will be one-third of volume of cylinder.

Now in given problem

volume of cylinder is 90 cm^3

So , volume of given cone will be one-third of 90 cm^3

which is 1/3*90 cm^3 = 30 cm^3.

Thus, volume of the given cone is 30 cm^3.

Please mark it the brainliest

5 0
3 years ago
> There are 14 books on a shelf. 6 of these books are new. The rest of them are used (a) What is the ratio of new books to us
Trava [24]

Answer:

a) 6:8

Because you have 14 books total if you substract 14 - 6= 8, so now you have

14 Books total

6 New Books

8 Used Books.

So, the ratio of new books to used books is 6:8 or if you simplified is 3:4.

b) 8:14

Because you have 8 used books compare to 14 books total. If you simplified your fraction you'll have 4:7

Step-by-step explanation:

5 0
3 years ago
The cone shown has a diameter of 18 meters and a slant height of 15 meters. Which choice is the closest to the lateral surface a
givi [52]
I think it is C, 424

hope that helps

8 0
3 years ago
Please help I will mark brainliest!
Ymorist [56]

Answer:

  A

Step-by-step explanation:

You know that the negative number with the largest magnitude is farthest to the left on the number line.

  3/4 = 9/12

  2/3 = 8/12

Then 3/4 > 2/3, so ...

  -3/4 < -2/3

7 0
3 years ago
Angle C is inscribed in circle O AB is a diameter of O what is measure of A
TEA [102]

Answer:

A = 53 degree

90-37 = 53 degree

As the triangle is a right angle triangle we see complimentary to the other angles and as all angles in a triangle equal 180, we see the other two which compliment this.

Step-by-step explanation:

6 0
3 years ago
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