Answer:
64 cups of lemon juice
Explanation:
First, you can determine with the information provided the amount of cups of lemon needed to prepare sixteen cups of lemonade:
5 cups of lemonade→2 cups of lemon juice
16 cups of lemonade→x
x=(16*2)/5=6.4 cups of lemon juice
Now, you now that for sixteen cups that is the amount in a gallon you need 6.4 cups of lemon juice and you can use a rule of three to determine the amount needed for ten gallons of lemonade:
1 gallon of lemonade→6.4 cups of lemon juice
10 galons of lemonade→x
x=(10*6.4)/1=64 cups of lemon juice
According to this, the answer is that 64 cups of lemon juice are needed to make ten gallons of lemonade.
I'm pretty sure its 5, because theres 15 on the one side and 10 on the other and the <em><u>?</u></em><em><u> </u></em> side would be 5 then.
Answer:
120
Step-by-step explanation:
80 divided by 2 is 40 plus 80 would be 120 which is 6 minutes worth of filling
Answer:
x = 17
Step-by-step explanation:
1) Make the bases the same then rewrite.
4 = 2²
2^2(2x - 5) = 2^3x + 7
2) Since the bases are the same, set the exponents equal to each other.
2(2x -5) = 3x + 7
4x - 10 = 3x + 7
4x - 3x = 7 + 10
x = 17
Answer:
The missing leg is 8 feet and the hypotenuse is 10 feet.
Step-by-step explanation:
Use the Pythagorean theorem which is A²+B²=C².
So we know the first side is 6 so plug that into the equation which would now be 6²+B²=C².
Because the hypotenuse is 2 feet longer than the missing leg we can plug in C=B+2 which would now make it 6²+B²=(B+2)².
Now we solve what we have so far which would now make the equation 36+B²=B²+4B+ 4.
Now we can figure out that 4B=32.
Now isolate the variable, B, by divide both side of 4B=32 by 4.
This gives us B=8.
So the other side is 8 feet.
Since we know that the hypotenuse is 2 feet longer than the leg we just add 2 feet to the original 8 feet to find the hypotenuse to be 10 feet.
