10 pounds of candy costing $1.20 per pounds must be mixed with 40 pounds of candy costing $ 0.95 per pound to obtain a 50 pounds of candy costing $ 1 per pound
<em><u>Solution:</u></em>
Let "x" be the pounds of candy at $ 1.20 per pound
Then (50 - x) is the pounds of candy at $ 0.95 per pound ( since 95 cents is equal to 0.95 pound)
Therefore, x pounds of candy costing $1.20 per pounds must be mixed with (50 - x) pounds of candy costing $ 0.95 per pound to obtain a 50 pounds of candy costing $ 1 per pound
Then the equation becomes,
1.20x + (50 - x)0.95 = 50 x 1
On expanding we get,
1.20x + 47.5 - 0.95x = 50
0.25x = 50 - 47.5
0.25x = 2.5
x = 10
Then (50 - x) = 50 - 10 = 40
So we need 10 pounds of candy worth $ 1.20 per pound and 40 pounds of candy worth $ 0.95 to obtain 50 pounds of candy worth a dollar a pound
The area of the unshaded region is C.
Step-by-step explanation:
Step 1:
To calculate the area of the unshaded region we first divide it into shapes that we know.
In this case, the entire shape consists of a larger triangle and a smaller triangle.
If we can calculate the individual areas of the two shapes we should be able to calculate the area of the unshaded part.
Step 2:
The area of a triangle is half the product of its base length and its height.
For the larger triangle, the base length is 6 inches and the height is 8 inches.
The area of the larger triangle,
For the smaller triangle, the base length is 3 inches and the height is 4 inches.
The area of the smaller triangle,
Step 3:
Now we calculate the area of the unshaded region by subtracting the areas of the smaller triangle from the area of the larger triangle.
Area of the unshaded region,
This is option C.
Answer:
<u>The rate the swimming pool is filled is 9 gallons of water per minute</u>
Step-by-step explanation:
Let's review the information provided by Ronald to us to help him to find the answer to the question:
Time it takes to fill the swimming pool = 8 minutes
Amount of water the swimming pool can hold = 72 gallons
2. At what rate does the swimming pool fill, in gallons per minute?
Rate the swimming pool is filled = Amount of water the swimming pool can hold /Time it takes to fill the swimming pool
Replacing with the real values, we have:
Rate the swimming pool is filled = 72/8 = 9 gallons of water per minute
(4.8 x 106) + (5.2 x 107) = 508.8 + 556.4 = 1,065.2 = 1.0652 x 10^3
Answer:
both are A but i do not really know
Step-by-step explanation: