Step-by-step explanation:
3x + 3 = 27
3x = 24
Therefore x = 8.
A)
original rectangle P = 2(w+l)
so
18 = 2(w+l) (1)
new rectangle
doubling width w, so its 2w
tripling length l, so its 3l
46 = 2(2w + 3l) (2)
now you have
18 = 2(w+l) (1)
9 = w + l so w = 9 - l
46 = 2(2w + 3l) (2)
23 = 2w + 3l
substitute w = 9 - l into 23 = 2w + 3l
23 = 2w + 3l
23 = 2(9 - l) + 3l
23 = 18 - 2l + 3 l
23 - 18 = l
5 = l or l = 5
w = 9 - l = 9 - 5 = 4
answer
original rectangle, length = 5 in and width = 4 in
b)new rectangle
length = 3l = 3(5) = 15 in
width = 2w = 2(4) = 8 in
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
