So your total is $6584
tution costs $704 more than room and board
you know nothing about how much the room and board cost so thats your "naked variable" so chose a variable to go in place of that. im going to coose r.
tuition($704 more than room and board): r +704
room and board(you know nothing about it): r
so add it all together you get r+704+r=your total.
sole the equation
2r +704= 6584
-704 on both sides
you get 5880 so it would come to 2r= 5880
divide by 2 on both sides
so r= 2940
r is the room and board so put 2940 in place of r in the equation you get from your variables which are r and r+704
so the final equation is 2940 +704 and your final answer is 3644
Vcyl=hpr^2, r=2.375, p=3.24, h=12
V=12(3.14)2.375^2=212.54 in^3
Answer:
The pints of each of the two existing types of drinks are 22 and 88 respectively.
Step-by-step explanation:
We are given that the Royal Fruit Company produces two types of fruit drinks. The first type is 70% pure fruit juice, and the second type is 95% pure fruit juice. The company is attempting to produce a fruit drink that contains 90% pure fruit juice.
Let the first type of fruit drink pints in the mixture be 'x' and the second type of fruit drink pints in the mixture be 'y'.
So, according to the question;
- <u>The first condition</u> states that we have to make 110 pints of a mixture of two types that is pure fruit juice, that means;
x + y = 110
x = 110 - y ---------------- [equation 1]
- <u>The second condition</u> states that the first type is 70% pure fruit juice, and the second type is 95% pure fruit juice, that means;
![0.70x+0.95y=0.90\times 110](https://tex.z-dn.net/?f=0.70x%2B0.95y%3D0.90%5Ctimes%20110)
![70x+95y=9900](https://tex.z-dn.net/?f=70x%2B95y%3D9900)
![70(110-y)+95y=9900](https://tex.z-dn.net/?f=70%28110-y%29%2B95y%3D9900)
![7700-70y+95y=9900](https://tex.z-dn.net/?f=7700-70y%2B95y%3D9900)
![25y=9900-7700](https://tex.z-dn.net/?f=25y%3D9900-7700)
![y=\frac{2200}{25}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2200%7D%7B25%7D)
y = 88
Now, putting the value of y in equation 1 we get;
x = 110 - y
x = 110 - 88 = 22
Hence, the pints of each of the two existing types of drinks are 22 and 88 respectively.
Answer:
its 500,00 dollars
Step-by-step explanation:
is a set of three integers a, b, c which form the sides of a right angled triangle. The smallest Pythagorean triple is the set of numbers 3,4,5.What formula do a, b, c have to satisfy for the triangle to have a right angle opposite side C?