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
Answer:
Coming for the free points bro its tuff out here
Up 7 units, left 3 units
Or the vector (-3,7)
Answer:
-2 sqrt(15)
Step-by-step explanation:
sqrt(-15) sqrt(-4)
We can use sqrt(ab) = sqrt(a) sqrt(b)
sqrt(-1) sqrt(15) * sqrt(-1) * sqrt(4)
We know the sqrt(-1) = i
i * sqrt(15) * i * 2
2i^2 sqrt(15)
i^2 = -1
-2 sqrt(15)
Answer:
D. The subtraction property of equality was not applied to solve this equation.
Step-by-step explanation:
<u>Step 1</u>: Given
![\sf \dfrac{x}{2}-7=-7](https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7Bx%7D%7B2%7D-7%3D-7)
<u>Step 2</u>: Addition Property of Equality
(add 7 to both sides)
![\implies \sf \dfrac{x}{2}-7+7=-7+7](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20%5Cdfrac%7Bx%7D%7B2%7D-7%2B7%3D-7%2B7)
<u>Step 3</u>: Simplify
![\implies \sf \dfrac{x}{2}=0](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20%5Cdfrac%7Bx%7D%7B2%7D%3D0)
<u>Step 4</u>: Multiplication Property of Equality
(multiply both sides by 2)
![\implies \sf 2 \cdot \dfrac{x}{2}=2 \cdot0](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%202%20%5Ccdot%20%5Cdfrac%7Bx%7D%7B2%7D%3D2%20%5Ccdot0)
<u>Step 5</u>: Simplify
![\implies \sf x=0](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20x%3D0)