Answer: Addition Property
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
In order to find the answer for this, we need to use proportions and cross multiply. Given that 3/4 of bread crumbs yields 3 hamburgers, and he plans on using 1 and 1/3 cup of bread crumbs, it will look like this: 3/4 over 3 : 4/3 over ?. So we cross multiply 3 by 4/3 and we get 4. Then divide 4 by 3/4 and we get 16/3 or 5 and 1/3. Therefore, the pounds of burgers that he needs to use is 5 and 1/3 pounds. Hope this helps.
Answer:
y = 1.5x
Step-by-step explanation:
<u>Cost of pineapples:</u>
<u>x pounds of pineapple will cost:</u>
<u>This function is represented as:</u>