Answer: 142 - 75 = 9h
Step-by-step explanation: ok so if 142 is total then subtract 75 from 142 to get 67 if you wanted to know the answer
mark me brainliest if it helped
Roger: $24
Bethan: $36
Explanation:
4/5 of $75 is $60
So $60 is distributed to Roger and Bethan in the ratio 2 : 3.
Add the numbers in the ratio 2 : 3
2 + 3 = 5
Divide $60 by 5
60 ÷ 5 = 12
Multiply each number in the ratio 2 : 3 by 12:
2 • 12 : 3 • 12
= 24 : 36
I’m sorry if I explained this badly
But if my answer was correct, brainliest please!
Have a nice day!
-SpaceMarsh :D
A heptagon has 7 sides, so 7-2=5
Answer:
Each shows two lines that make up a system of equations. If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.
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
