Let's call x^2: a; -7x: b; and 10:c
So what I do in this case:
when the number squared does not have a coefficient in front, I ask myself, what does A times C equal
the answer is 10 --> now what factors of ten, add up to -7 (the factors can be negative and/or positive)
the answer is -2 and -5
so with this, you do: (x-2)(x-5)
there's your answer, i hope that makes sense
Her piece of lace was 80 cm.
2(14)+2(20)+12
28+40+12
=80
Answer:
supplementary
vertical angles
sub
Step-by-step explanation:
Answer:
x = 2 and 3/8
Step-by-step explanation:
(4x - 5)2 = 9
8x - 10 = 9
8x = 19
X = 19/8 or 2 and 3/8
Hope this helps! Pls give brainliest!
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