Answer:
"In math, a cube is a number multiplied by itself three times. The cube of 2 is 8 (2 x 2 x 2). It is also a three-dimensional shape where each of the six sides is a square or something shaped like a cube, such as an ice cube or meat cut into cubes)."
Step-by-step explanation:
Mr. Smith has an online cooking show. Before he films an episode about baking the perfect pound cake, he prepares his ingredients. His recipe calls for 2 1 /2 cups of sugar for the cake and 1 1/ 4 cups of sugar for the vanilla glaze. How many 1 /4 -cup scoops of sugar does he need? Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
Answer:
15
Step-by-step explanation:
We are given
Mr. Smith's recipe calls for 2 1/2 cups of sugar for the cake and 1 1/4 cups of sugar for the vanilla glaze.
The total amount of sugar he would need
2 1/2 + 1 1/4
= (2 + 1) + (1/2 + 1/4)
= 3 3/4 cups of sugar.
We need this amount of sugar in 1/4 cup scoops.
This is calculated as:
let x be the number of scoops needed
x * 1/4 = 3 3/4
x* 1/4 = 15/4 ( 3 3/4 = 15/4)
x= 15
Therefore, he would be needing 15 , 1/4 cup scoop of sugar
Suppose we want to know the total cost of buying x toys and we know that each toy costs $2. The relationship between the cost and the number of toys is
C(x) = 2x
If we purchase 6 toys, the cost would be
C(6) = 2*6 = $12
This is an example where it's adequate to use a single variable (or unknown) to find the value of another variable.
Now suppose we want to know the total cost of buying x toys for $2 each and include the tax rate in the calculations.
If we know the tax rate r, we can compute the total cost as
C(X,r) = 2x*(1 + r/100)
For example, to purchase x=6 toys and the tax rate is r=8%, the total cost is:
C(6,8) = 2*6*(1 + 8/100)=$12.96
If we had tried to calculate this cost without the use of two unknowns, it would have not been possible.
Thus, the pattern to use one or two variables depends on how many factors determine the final result.
Exterior angle=sum of interior angles
so 89+5x-7=14x+1
solve for x and plug the value into 5x-7 and you'll get m
Step-by-step explanation:
First thing to do is insert f(x) in for x in g(x) to make g(f(x))
f(x) is in the domain of g(x) which create the composition function.
