Answer:
is it a test and what is the lesson name called?
Step-by-step explanation:
Answer:
Answer is 49
Step-by-step explanation:
Add all the ratios up you get 21 so then you divide 147 by 21 thus giving you 1 ratio = 7 respectively, and we know the ratio of the red is 7 because it's stated red, blue, and green -> 7,6,8. So then 7 * 7 = 49. And to confirm you can do (7*7)+(6*7)+(8*7) which should equal 147
The problem is actually already factored for you. They are asking you to just set the equation to zero. Find the zeros.
Answer:
Step-by-step explanation:
Let x represent the number of batches of soap that Lilth makes.
Let y represent the number of batches of lotion that Lilth makes.
It takes her 20 minutes(20/60 = 1/3 hours) to make a batch of soap and 35 minutes(35/60 = 7/12 hours) to make a batch of lotion. Lilth has 20 hours available to make soap and lotion. This means that
x/3 + 7y/12 = 20
4x + 7y = 240- - - - - - - - - - -1
The cost of producing each batch are $5 for the soap and $15 for the lotion. The materials to make the soap and lotion must cost at most $325. This means that
5x + 15y ≤ 325 - - - - - - - - -2
4x = 240 - 7y
x = (240 - 7y)/4
Substituting
5(240 - 7y)/4 + 15y ≤ 325
(1200 - 35y)/4 + 15y ≤ 325
1200 - 35y + 60y ≤ 1300
25y ≤ 1300 - 1200
25y ≤ 100
y ≤ 100/25
y ≤ 4
4x + 7 × 4 = 240
4x + 28 = 240
4x = 212
x = 212/4 = 53
Therefore, the solution (53, 4) means that she would make at most 53 batches of soap and at most 4 batches of lotion
A = s²
A = area
s = length of each side of the square
*take square root of both sides
s = √A
s = √125 sq. mi.
s = 11.18 miles
*rounded to nearest mile
s = 11 miles
