Let x represent the number of liters of 50% acid Theresa puts into the mix. The the number of liters of 30% acid will be (420-x). The total amount of acid in the final solution will be ...
0.50x + 0.30(420-x) = 0.45(420)
0.20x + 126 = 189 . . . . . . . . . . . . . . . simplify
0.20x = 63 . . . . . . . . . . . . . . . . . . . . . subtract 126
x = 63/0.20 = 315 . . . . . . . . . . . . . . . liters of 50% solution
(420-x) = 420-315 = 105 . . . . . . . . . liters of 30% solution
Theresa should mix ...
105 liters of 30% solution
315 liters of 50% solution
5 divided by one half, would be 2.5, since its half of 5.
Answer:
$128
Step-by-step explanation:
1. We need to find how much 1 yard of material cost.
If needed, use a calculator*
120/75=1.6
2. Now we need to know how much 15 yards of material cost.
1.6 times 15=24
3. The buyer ordered an additional 90 yards. If we know how much 75 yards cost, and 15 yards, all you have to do is...
120+24=144
90 yards=$144
4. The additional cost is $144
(Note: the total cost would be $264 (120+144=264))
Find the prime factorization of each value.
21 is 7*3
30 is 3*10 which can be further broken down into 3*2*5
44 is 4*11 which can be further broken down into 2*2*11
What do they share in common?
21 and 30 each have a 3 in common.
Therefore the GCF(21, 30) = 3.
21 and 44 share a 2 in common.
But if we're looking at all three of them together, they share nothing in common.
