Answer:
The number of melon was 3 and the number of apples was 45.
Step-by-step explanation:
1. Melons cost $20 per crate and apples cost $8 per create. If the total was 48 crates for $420, you can make the following system of equations, where
is the number of melons and
is the number of apples:

2. By applying the Method of substitution, you can solve for
in the first equation and substitute it into the second one to find
. Then, you can substitute the value of
into the first equation to find
:



Answer: The radius of the ball is 7 meters.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Surface area of a sphere: 4 π r^2
Replacing with the value given:
615.75 = 4 π r^2
Solving for r (radius):
615.75 /4π= r^2
√(615.75 /4π) =r
r = 6.99 = 7m (rounded)
The radius of the ball is 7 meters.
Feel free to ask for more if needed or if you did not understand something.
Coefficient of x is less than 0 then it's across the y axis
So f(x)=2^x ---> g(x) = 2^-x
Then translating it up 5 units, should be g(x) = 2^(-x) + 5
Answer is the last one
g(x) = 2^(-x) + 5
Answer:
8/27 cups
Step-by-step explanation:
Nima uses 2/3 cups of peanuts to make a recipe of 2 1/4 = 9/4 cups of trail mix. If we want to find how many cups of peanuts are there per cup of trail mix, we can do a rule of three:
If 9/4 cups of trail mix need 2/3 cups of peanuts, 1 cup of trail mix need X cups of peanuts:
9/4 cups of trail mix -> 2/3 cups of peanuts
1 cup of trail mix -> X cups of peanuts
9/4 / 1 = 2/3 / X
9/4 = 2/(3*X)
3*X*9 = 4*2
27*X = 8
X = 8/27 cups