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ryzh [129]
3 years ago
15

A recipe calls for 1.5 cups of raisins for 18 cookies how many cups of raisins must be used for making 30 cookies. please break

it down
Mathematics
1 answer:
Zanzabum3 years ago
6 0

Lets list what we know:

1.5 cups = 18 cookies

How many cups in 1 cookie will help us find the answer:

1.5 / 18     (1.5 cups per 18 cookies)

divide both sides by 1.5 (to get how many cookies in 1 cup)

1 / 12        (1 cup = 12 cookies)

Now, how many times does 12 fit in 30?

30/12 = 2.5

This means it takes 2 and a half cups of raisins to get 30 cookies.

If anything is still unclear please comment,

Hope this was helpful

Have a great day!

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The pyramid shown has a square base that is 14 centimeters on each side. The slant height is 15 centimeters. What is the surface
Ksenya-84 [330]
We know that

surface area=area of the base+4*[area of one lateral triangle side]

area of the base=b²
b is the side length of the square
b=14 cm
area of the base=14²-----> 196 cm²

area of one lateral triangle side=b*h/2
b is the side length of the square
b=14 cm
h is the height of the lateral triangle side
h is equal to the slant height 
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area of one lateral triangle side=14*15/2----> 105 cm²

surface area=196+4*[105]------> 616 cm²

the answer is
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3 years ago
(4 pts) If a rock is thrown vertically upward from the surface of Mars with an initial velocity of 15m/sec
Yuliya22 [10]

Answer:

Step-by-step explanation:

I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.

The position equation is

s(t)=-1.86t^2+15t  That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.

The first derivative of position is velocity:

v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):

0 = -3.72t + 15 and solve for t:\

-15 = -3.72t so

t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:

s(4.03) = -1.86(4.03)² + 15(4.03) so

s(4.03) = 30.2 meters.

Calculus is amazing. Much easier than most methods to solve problems like this.

7 0
3 years ago
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