The original volume of the shape was 250. You come up with this by multiplying all sides together. So, 5x5x10=250.
We do the same for the new shape, which now has a 7 in place of the 5. So 7x7x10=490.
Lastly, we subtract the volume of the new shape from the volume of the old shape to see the difference. So, 490-250=240.
So the answer to this is 240.
Step-by-step explanation:
First, multiply each side of the equation by
2
to eliminate the fraction while keeping the equation balanced:
2×A=2×h2(a+b)
2A=2×h2(a+b)
2A=h(a+b)
Now, divide each side of the equation by
a
+
b
to solve for
h
while keeping the equation balanced:
2Aa+b=h(a+b)a+b
2Aa+b=h(a+b)a+b
2Aa+b=h
h=2Aa+b
Answer:
6
Step-by-step explanation:
Remember the Order of Operations:
Parentheses
Exponents
Multiplication/Division (whichever comes first)
Addition/Subtraction (whichever comes first)
In this case, we start by simplifying what is in the parentheses:
(16÷8)+(24÷6)
2+4
6
Answer:
0.25 hours
Step-by-step explanation:
The equation for a linear function is given by:
y = mx + b,
where y and x are variables, m is the rate of change of y with respect to x and b is the initial value of y (value of y when x = 0).
Let x represent the number of hours after 1:00 P.M and let y represent the temperature in degree Fahrenheit.
Let us assume that initial the temperature is 0°F. The temperature changes -4 degrees Fahrenheit per hour. From the equation of a linear function y = mx + b:
m = -4 degrees Fahrenheit per hour, b = 0. Hence:
y = -4x
The time taken to reach -1°F is gotten by substituting y = -1 and finding x:
y = -4x
substituting:
-1 = -4x
x = -1 / -4
x = 0.25 hours
0.25 hours = 0.25 hours * 60 minute / 1 hour = 15 minute
Therefore at 1:15 P.M, the temperature is -1°F
Answer:
2 batches
Step-by-step explanation:
We can divide 7 1/2 by 3 3/4 to get 2, so the factory made 2 batches of granola bars yesterday.
