Answer:
72 parts
Steps:
Convert the 4 hours into minutes. There are 60 minutes in an hour. Therefore, 4 hours = 240 minutes.
Divide 240 minutes by 40 minutes. This equals 6. Therefore, the machinist can produce the 12 parts 6 times in 4 hours.
Finally, multiply the 12 parts by the 6 times he can produce. Therefore, the machinist can produce 72 parts in 4 hours.
Answer:
1 quart blue + 1 1/2 quart red
Step-by-step explanation:
Given:
Ratio of blue paint : red paint = 1/3 : 1/2
simplifying this ratio into whole numbers by multiplying both sides by 2 and 3, we get:
(1/3) x (3x2) : (1/2) x (3x2)
2 : 3
From this we can determine the fractions of red and blue paint used in any total purple mix
fraction of blue paint = 2/(2+3) = 2/5 of purple mix
fraction of red paint = 3/(2+3) = 3/5 of purple mix
we are given that we want to make 2 1/2 (= 5/2) quarts of purple paint
hence
amount of blue paint
= fraction of blue paint in purple mix x total amount of purple paint
= (2/5) x (5/2) = 1 quart
amount of red paint
= fraction of redpaint in purple mix x total amount of purple paint
= (3 /5) x (5/2) = 3/2 quart = 1 1/2 quart
Answer:
5
5Step-by-step explanation:
If you use the distance formula you can solve it pretty easily. The distance formula is:
d =
The two points you want are A and D. A is (-1, -4) and D is (3, -1). Plug that into the formula...
d =
d =
d =
d =
5
I can solve it in a different way if you want me to.
Answer:
$2.97 per pound
Step-by-step explanation:
First we have to determine the total cost of their purchase, consequently it is as follows:
Almonds:4 x $3.50 = $14
Peanuts: 3 x $2.75 =$8.25
Raisins: 2 x $2.25 =$4.5
TOTAL =$26.75
We also determine the total pounds of nuts as 4+3+2 = 9
Finally we divide the total cost between the total pounds, and we get:
Cost per pound of mix = $26.75/9 pounds = $2.97 per pound