Answer: 450 kcal
Step-by-step explanation:
So you know the food is 360 kcal per 1 cup
by setting up a proportion, you can relate the number of kcal to cups.

we can simplify the fraction to this:

by cross multiplying you can solve the proportion
(360) * (5/4) = (?) * (1)
simplifying gets this:
450 = ?
so he ate 450 kcal total
Answer:
The result is that you eliminate the 7y term and thus can solve for x.
x = -28/3
y = 30/7
Step-by-step explanation:
-20 + 7y = 10
3x + 7y = 2
subtract... elimination method
-20 - 3x = 8
-3x = 28
x = -28/3
-20 + 7y = 10
7y = 30
y = 30/7
832/60 = 13.8666.....
The bakery will need to produce <u>14 cakes.</u>
This is because, assuming they can only produce whole cakes, they will need to produce 14 to ensure that everyone is fed.
<span>two divided by the difference of a number and 3 minus 4 divided by a number plus 3, equals 8 times the reciprocal of the difference of the number squared and 9.
let x=number
2/(x-3)-4/(x+3)=8/(x^2-9)=8/(x+3)(x-3)
LCD: (x+3)(x-3)
2(x+3)-4(x-3)=8
2x+6-4x+12=8
-2x+18=8
-2x=-10
x=5</span>
Answer:
The temperature of coffee becomes 163.08 Fahrenheit.
Step-by-step explanation:
The Newton's law of cooling can be mathematically written as

Applying the limits in the above relation as
At t = 0 ; T= 200 F
At t =10 ; T = 180 F

Applying the limits in the above relation as
At t = 10 ; T= 180 F
At t =20 ; T = T F
