Hello! So, the problem is saying that 200 vitamins cost $8.75, and that is what we know. We also know that we're going to be looking at the cost of 500 vitamins, but we don't know. The numbers presented can be put into a proportion, and that can help solve the problem. 200 to 8.75, and 500 to a number we don't know. I'm no sure if you familiar with the how to set up a proportion, but it's saying this number over this other number (which is a fraction) equals another fraction. Make sure that your numbers always match up, so your not saying vitamins over money equal money over vitamins. Use cross products, divide, and then you'll have your answer. For this problem, since yours solving for money, make sure to have two decimal points and a dollar sign. I hoped this helped, if you have any questions shoot me a question or message. Good luck!
32 gallons of 25 % antifreeze should be combined with 8 gallons of 50 % antifreeze to get 40 gallon of 30% antifreeze
<h3><u>
Solution:</u></h3>
From given,
Final mixture is 40 gallon
Let "x" be the gallon of 25 % antifreeze
Then, (40 - x) is the gallon of 50 % antifreeze
Therefore, according to question,
"x" gallons of 25 % antifreeze should be combined with (40 - x) gallons of 50 % antifreeze to get 40 gallon of 30% antifreeze
<h3><u>Therefore, we frame a equation as:</u></h3>
25 % of x + 50 % of (40 - x) = 30 % of 40
Solve for "x"
Thus, 32 gallons of 25 % antifreeze is used
Then, (40 - x) = (40 - 32) = 8
Thus 8 gallons of 50 % antifreeze is used
Answer:
its eather a or c
Step-by-step explanation:
Answer:
9% of $8.23=
0.09x$8.23=$0.74 (tax)
$8.23+$0.74=$8.97 (total)
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
Let the smaller integer be x.
The other integer is 1 greater than 3 times x, or 3x + 1.
The product is 154.
x(3x + 1) = 154
3x^2 + x - 154 = 0
157 = 2 * 7 * 11
14 * 11 = 154
22 * 7 = 154
(3x + 22)(x - 7) = 0
3x + 22 = 0 or x - 7 = 0
3x = -22 or x = 7
x = -22/3 or x = 7
-22/3 is not a positive integer, so we discard that solution.
The smaller integer is 7.
3x + 1 = 3(7) + 1 = 22
The greater integer is 22.
The sum of the integers is 7 + 22 = 29
