Answer:
D. 23 inches
Step-by-step explanation:
1¼ feet = 1.25 × 12 = 15 inches
15 + 8 = 23 inches
The answer would be 15m + 2n.
1. Gather like terms (8m + 7m) + (4n - 2n)
2. Simplify (15m + 2n)
Answer:
£418
Step-by-step explanation:
i answered part of this earlier
julie = 2
kelly = 5
lou = 12
5-2 = 3
3 = £66
£66/3 = £22
2+5+12 = 19
19 x £22 = £418
Answer:
use a ratio
Step-by-step explanation:
you work 10 hours and make $25. How much do you earn per hour? (this is your unit rate.)
<u>10 hours</u>
$25
divide and you get an answer of $2.50 per hour
to check your answer work the problem backwards, take $2.50 times 10 hours = $25
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
