Answer:
y= -3/5x + 12/5
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
Its
C. Draw a line connecting the the intersection of the arcs below and above the segment.
Answer:
75% of students voted for the athlete
Step-by-step explanation:
total number of students 24+8 = 32
24 out of 32 students chose the athlete
24/32 simplified = 3/4
3/4 = 75%
Answer:
7 pages
Step-by-step explanation:
Given the total number of pages in the book are 16
The number of pages esteban already read are 9
Let the number of pages left out to read be x
Total number of pages = number of pages read + number of pages to be read
16=9+x
x=16-9
x=7 pages
Therefore There are 7 pages left out to be read.
