Answer:
(45,35)
Step-by-step explanation:
1 - Stack the equations on top of each other
3x - 4y = -5
4x + 4y = 40
2 - We can eliminate by subtracting the bottom equation from the top equation
3x - 4y = -5
- 4x - 4y = 40
3 - The y's cancel out, leaving us with...
3x = -5
- 4x = 40
4 - Continue simplifying
-1x = -45
5 - We can switch the -1x with -x to make things simple
-x = -45
6 - Positize (make it positive) the statement
x = 45
7 - Halfway there! Substitute the x value into one of the equations
(3 * 45) - 4y = -5
8 - Solve
135 - 4y = -5
Minus 135 on both sides
-4y = -140
Divide by -4 on both sides
y = 35
9 - Here is your answer!!
x = 45
y = 35
(45,35)
The expression can be simplified as:
b-8
Answer:
<em>10,000 cups </em>
Step-by-step explanation:
Direct proportional quantities are such that their quotients are always the same number. Example: If I need one cup of sugar to prepare 5 candies, I will need 2 cups of sugar to prepare 10 candies. The quotient 5/1 is equal to the quotient 10/2
Let's suppose a cup of regular ice cream would have 100 parts of fat.
The brand of ice cream mentioned in the question is 99% fat-free which means for every cup of their ice cream, we'll only get 1 part of fat. The relation is 100/1.
If we wanted 100 parts of fat out of fat-free ice cream we would need 100*100/1=10,000 cups of it
These numbers won't change if we used another number instead of 100 in the example shown.
Answer:
4096
Step-by-step explanation:
<em><u>Simplify:</u></em>
=((−4)3)2
=((−4)3)*((−4)3)
=((−4)*(−4)*(−4))*((−4)*(−4)*(−4))
=(−4)*(−4)*(−4)*(−4)*(−4)*(−4)
=(−4)6
<em><u>Step by Step:</u></em>
<u><em>((−4)3)2
</em></u>
<u><em>=(−64)2
</em></u>
<u><em>=4096</em></u>
<u><em /></u>
Answer: 4096
<em><u>Hope this helps.</u></em>