There are 4 quarts in 1 gallon, so a rate of 120 gallons per minute converts to 4 x 120 = 480 quarts per minute. To find the per hour rate, we simply multiply our per minute rate by 60, obtaining 480 x 60 = 28800 quarts per hour.
Answer:
43°
Step-by-step explanation:
For triangle ABC:
A = C so all we need to do is to calculate the value of B
The measure of angle ABD is given as 17° so the measure of angle EBC must be 17° as well
Since DBE is an equilateral triangle angle is DBE = 60°
17 + 17 + 60 = 94 this is the measure of angle B
The sum of interior angles in a triangle is equal to 180
A + B + C = 180
A + C + 94 = 180
A + C = 86 since A = C we divide 86 by 2
C = 43°
Oliver is incorrect because if he were correct he would learn for 2 hours and 15 minutes because, 45 minutes * 3= 2:15 minutes.
16.5/3 = 5.5
Step-by-step explanation:
becuase he needs to walk 16.5 miles. and he can walk 3 miles per x(hour)
you need to devide distance by speed to get time.
The area of the shaded region will be the area of the rectangle minus the area of the white square inside of it:
((x+10)(2x+5)) - ((x+1)(x+1))
First, FOIL both of the areas separately:
(2x^2 + 5x + 20x + 50) - (x^2 + x + x + 1)
Simplify within the parentheses by adding like terms:
(2x^2 + 25x + 50) - (x^2 + 2x + 1)
Now, subtract one equation from the other:
2x^2 + 25x + 50
-x^2 - 2x - 1
= x^2 + 23x + 49
This will be the equation for the area.