The recipe calls for 5/8 cups butter and Angie wants to triple the recipe.
Therefore, if Angie is tripling the recipe, she is multiplying all of the ingredients in the recipe by 3.
So for the butter, this would be:
5/8 * 3 = 15/8
Next, we should turn this improper fraction into a mixed number so that we can compare it to the amount of butter that Angie has.
15/8 = 1 7/8
1 7/8 > 1 1/4
Thus, Angie DOES NOT have enough butter to triple the recipe.
Answer:
Step-by-step explanation:
Let the time flown by the flying carpet be 
. Then, we have that 
.
We multiply both sides of the equation by to get 
.
We subtract 
from both sides to get 
.
We divide both sides of the equation by 
.
We know that the speed of the flying carpet in still wind is the average of the rates of the speed of the flying carpet with the wind and against the wind.
The speed with wind is 
mph.
The speed against wind is 
mph.
The speed in still wind is 
.
Therefore, the answer is 
and we're done!
Answer:
Larger number = 32
Step-by-step explanation:
Smaller number = x
Larger number = y
y - x = 8 -----------(I)
3y = 4x ---------------(II)
3y/4 = x
Plug in x = 3y/4 in equation (I)
y = 8*4
y = 32
Plug in y = 32 in equation (II)
3y = 4x
3*32 = 4x
4x = 3*32
x = 
x = 3 *8
x = 24
Answer:
-60x + 10
Step-by-step explanation:
-5 x 2(6x - 1)
-10 (6x - 1)
-60x + 10
Answer:
A. y = –5x – 27
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line parallel to y
=
−
5
x
+
3
.
y
=
−
5
x
−
27 PARALLEL
...................................................................................................................................................
Find the negative reciprocal of the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line perpendicular to y
=
−
5
x
+
3
.
y
=
1
/5
x
+
21
/5 PERPENDICULAR
