Answer:
The second one/B
Step-by-step explanation:
Answer:
(x -1)² +(y -4)² = 25
Step-by-step explanation:
The equation of a circle in standard form is ...
(x -h)² +(y -k)² = r² . . . . . . . circle with center (h, k) and radius r
The graph shows your circle has its center at (1, 4) and its radius is 5. Then the equation is ...
(x -1)² +(y -4)² = 25
Answer:
$0.69 for each bag
Step-by-step explanation:
Since you have 12 bags for $8.25, that means you need to divide the price by the number of bags to get the price of each:
You then need to round to the nearest hundredths. Since the number after the hundredths place is a 7, which is greater than or equal to 5, you need to add 1 to the hundredths place making the final answer $0.69
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
6 can go into 48 8 times. How I figured out?
Start multiplying from a small number like
6×6= 36
6×7=42
6×8= 48
until you see your number 48, or a number that is lower that 48, but can not go any higher than 48.
