Answer:
If 5x+12=44 then value of 5x-12 is 20
Step-by-step explanation:
5x + 12 = 44
- The first step, we have to find the value of x
5x + 12 = 44
5x = 44 - 12
5x = 32
x = 32/5
x = 6.4
- After that, insert the value of x into 5x - 12
5x - 12 = ...
5 ( 32/5 ) - 12
= 32 - 12
= 20
Answer:
6
Step-by-step explanation:
Answer: 490 grams of the first alloy should be used.
30 grams of the second alloy should be used.
Step-by-step explanation:
Let x represent the weight of the first alloy in grams that should be used.
Let y represent the weight of the second alloy in grams that should be used.
A chemist has two alloys, one of which is 15% gold and 20% lead. This means that the amount of gold and lead in the first alloy is
0.15x and 0.2x
The second alloy contains 30% gold and 50% lead. This means that the amount of gold and lead in the second alloy is
0.3y and 0.5y
If the alloy to be made contains 82.5 g of gold, it means that
0.15x + 0.3y = 82.5 - - - - - - - - - - - -1
The second alloy would also contain 113 g of lead. This means that
0.2x + 0.5y = 113 - - - - - - - - - - - - -2
Multiplying equation 1 by 0.2 and equation 2 by 0.15, it becomes
0.03x + 0.06y = 16.5
0.03x + 0.075y = 16.95
Subtracting, it becomes
- 0.015y = - 0.45
y = - 0.45/- 0.015
y = 30
Substituting y = 30 into equation 1, it becomes
0.15x + 0.3 × 30 = 82.5
0.15x + 9 = 82.5
0.15x = 82.5 - 9 = 73.5
x = 73.5/0.15
x = 490
Answer: 15
Step-by-step explanation:
Lets name the missing point as "x"
8^2 + x^2 = 17^2
=> 64 + x^2 = 289
=> x^2 = 289 - 64
=> x^2 = 225
=> x = 15
Answer:
13
Step-by-step explanation:
