Solve. Simplify if possible.Of a family's $780 weekly income, $78 usually goes toward groceries. What is the ratio of the amount spent on groceries to weekly income?

A.
B. 9
C.
D. 10


Answer: C

Mathematics

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Find an equation for the sphere with the given center and radius.Center (0, 0, 2), radius = 8

A. x2 + y2 + z2 + 4z = 60 B. x2 + y2 + 8 z2 + 4z = 60 C. x2 + y2 + 8 z2 - 4z = 60 D. x2 + y2 + z2 - 4z = 60

Mathematics

Use the formula for  to evaluate the expression.

A. 2520 B. 1 C. 7 D. 1260

Mathematics

Solve the problem.Bob is 72 years old and Susan is 45 years old. Write a simplified ratio in three different ways of Bob's age to Susan's age.

A. , 5 to 8, 5:8
B. , 8 to 5, 8:5
C. , 1 to 9, 1:9
D. , 72 to 45, 72:45

Mathematics

Solve the problem.The function defined by f(x) = x + 2 was used to encode the following message: 15 3 22 10 9 7 16 11 23 21using the alphabet coding method (A = 1, B = 2, C = 3, ...). Find the inverse and decode the message.

What will be an ideal response?

Mathematics