Substitute the variables for the numbers. Then solve.
b⁵ = 3⁵ = 243
c⁶ = 4⁶ = 4096
b³ = 3³ = 27
c³ = 4³ = 64
(243)(4096)/(27)(64) = 576
Answer:
After 15 minutes, the temperature of both the furnaces will be same.
Step-by-step explanation:
Let 
be the minutes when the temperature of both becomes same.
Now, as per question:
Temperature of the furnace after minutes that is cooling at the rate of 15 degree per minute is given as:
Temperature of the furnace after minutes that is heating at the rate of 5 degree per minute is given as:
Now, equating both the temperatures, we get
Therefore, after 15 minutes, the temperature of both the furnaces will be same.
Answer:
20 ton
Step-by-step explanation:
We created a system of two separate equations to answer these questions.
"y" will be the total cost to transport the sugar
"x" will be the amount of sugar transported
Therefore, we have to:
y = 3995 + 225.50 * x
y = 6500 + 100.25 * x
We must establish these equations equal to each other because it asks how much of x is necessary to make the same amount of y, therefore:
3995 + 225.50 * x = 6500 + 100.25 * x
solved we have:
225.50 * x - 100.25 * x = 6500 - 3995
125.25 * x = 2505
x = 2505 / 125.25
x = 20
which means that when the amount of sugar transported is 20 tons, the price is the same
Answer:
A
Step-by-step explanation:
The measure of angle D can be found using the Interior Angle Sum of a Triangle.
The angles of a triangle add to 180. This means:
90 + 21 + x = 180.
111 + x = 180
x = 69
The solution is A.
Angle B is smaller than Angle D which means CD will be smaller than BC.
Answer: |10 - (-8)|
The absolute value is 18
Step-by-step explanation:
The distance between two numbers is a subtraction equation.
10 - (-8) Subtracting a negative is like adding a positive
10 + 8 = 18
If you look at it as the first negative sign means -1 multiplied by the next negative number, "Remember that a negative times a negative is a positive!"
