Answer: x = 65.63
Explanation:
We have, 64% × x = 42 or, 64/100 × x = 42
Multiplying both sides by 100 and dividing both sides by 64, we have x = 42 × 100 64
x = 65.63
Answer: The length of AC is 18 ft.
Step-by-step explanation:
By the given diagram,
AM = MB and CN = NB
M and N are the mid points of the sides AB and CB respectively,
Thus, by the mid point theorem,
MN ║ AC,
By the alternative interior angle theorem,
∠BMN ≅ ∠BAC
∠BNM ≅ ∠BCA
Thus, by AA similarity postulate,
ΔBMN ≅ ΔBAC
By the property of similar triangles,





Thus, The length of AC is 18 ft.
Answer:
final cost of 3 pounds: <u> 8 dollars </u>
final cost of p pounds: <u> 3.75p - 3.25 dollars </u>
Step-by-step explanation:
Each pound costs $3.75, so 3 pounds cost 3*3.75 = 11.25 dollars. Subtract off the $3.25 to get the final cost to be 11.25-3.25 = 8 dollars. This takes care of the first part.
For the second part, the expression for the final cost is 3.75p - 3.25; where the 3.75p is the cost before the coupon is applied. If you plugged p = 3 into that expression, you should get 8 as a result. The variable p is some positive whole number. It's a place holder for the number of pounds of apples.
The answer is x = 6
To solve this you would use the pythagorean theorem which is a^2 + b^2 = c^2
In this problem a = x b = 8 and c = 10
You would then square these numbers
x^2 + 64 = 100
Next, you would subtract 64 from both sides.
x^2 = 36
All that’s left is the find the square root, which is x = 6.
So, therefore, you’re answer is x = 6
To get to cups of raisins you need 8 1/4 cups, and then to get 2/4 you need 2.
So basically you need 10 1/4 cups