Answer:
Month 5 the cost will be the same
Step-by-step explanation:
Make to equations from the given information
Let y be the cost, and let x be the number of months
Club A: y = 25x + 100
Club B: y = 20x + 200
It wants to know when the cost will be the same, so set the 2 equations equal to each other and solve..
25x + 100 = 20x + 200
5x = 100 (subtract 20x and 100 from both sides)
x = 20 (divide both sides by 5)
So after 5 months the cost will be equal,
Answer:
tan x° = 56.31°
Step-by-step explanation:
6/4= 1.5
hence x° = 56.31
Answer:
20kg of 25% copper alloy
30kg of 60% copper alloy
Step-by-step explanation:
There are 2 kinds of metal, first metal(A) have 25% copper while the second metal(B) has 60% copper. The metalworker want to create 50kg of metal, which means the total weight of both metals is 50kg (A+B = 50). The metalworker also want the metal made of a 46% which is 23kg(0.25A + 0.6B = 0.46*50). From these sentences, we can derive 2 equations. We can solve this with substitution.
A+B = 50
A= 50-B
Let's put the first equation into the second.
0.25A + 0.6B = 0.46 *50
0.25(50-B) + 0.6B =23
12.5 - 0.25B + 0.6B =23
0.35B=23 -12.5
B= 10.5/ 0.35= 30
Then we can solve A
A= 50-B
A= 50-30
A=20
The answer is 176 milles in 2 hours
