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Vsevolod [243]
3 years ago
13

A recipe for apple sause calls for 1/3 cup of honey. The recipe makes 8 servings. How many cups of honey are needed to make 20 s

ervings?
Mathematics
1 answer:
Komok [63]3 years ago
4 0
To make exactly 20 servings, we need to know how much honey is used for exactly one serving.
Given that 1/3 cup of honey equates to 8 servings, divide 1/3 by 8 to get the amount of honey needed for 1 serving.
Then, to figure out how much honey is needed for 20 servings, simply multiply that result by 20.

Hope this helps!
-refrac532
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Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.
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Answer:

\frac{7}{\sqrt{3}}

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |                   --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |

d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |

d = |\frac{(-7)}{\sqrt{3}} |

d = \frac{7}{\sqrt{3}}

Therefore, the shortest distance from the point to the plane is  d = \frac{7}{\sqrt{3}}

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3 years ago
If 1 inch = 50 miles how many miles is 8.5 in
GenaCL600 [577]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ 8.5 in = 425 miles

If 1 mi = 50 inches, multiply by 8.5:

50 x 8.5 = 425

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

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