Answer: -82y
-70y - 20z + 4z + 16z - 12y
-82y + 0
= -82y
(5+1)2 - (12+32) + 3
6 (2) - 44 + 3
12 - 44 + 3 = -29
Answer:
the similarity statement helps you see that side RQ corresponds to UV, therefore 2x-4 : 5, and VW and QP are corresponding sides
Step-by-step explanation:
set up a proportion, then cross-multiply
2x-4/16 = 5/8
8(2x-4) = 16(5)
x = 7
Answer:
a. 87.5%
b. 30 g of 12 carat and 60 g of 21 carat.
Step-by-step explanation:
a. The percentage of gold in 21 carat is given by:
b. Since the mass he wants to produce is 90 g, then the added mass of the 12 carat, "x", and the mass of the 21 carat "y", must be equal to that:
The sum of gold on each carat type must be equal to the amount of gold on the final mixture, since a 12 carat has 50% gold and a 21 carat has 87.5% gold, then we have:
We now have a system of equations which we can solve to find the necessary mass of each type.
He needs 30 g of 12 carat gold and 60 g of 21 carat gold.
First, the ratio is 3:5. which means 3 redfish for every 5 bluefish. Since there are 20 bluefish, that means that is 4x more than 3:5. The total number of redfish are 12.