Answer:
see explanation
Step-by-step explanation:
the perimeter (P) is the sum of the 4 sides
(a)
P = a + b + c + d
= x + 7 + 2x + 2 + 8x + x + 10 ← collect like terms
= 12x + 19
(b)
If x = 4 , then
P = 12x + 19 = 12(4) + 19 = 48 + 19 = 67
(c)
If x = 2 , then
P = 12x + 19 = 12(2) + 19 = 24 + 19 = 43
(d)
P = a + b + c + d
= x² + 4x + 8 + 2x² + x ← collect like terms
= 3x² + 5x + 8
Answer:
1.98, 7.74, 3.26
Step-by-step explanation:
I listed them from Smalest to largest 1.98 being samller than 2.74 and 2.74 being smaller than 3.26.
Hope this helped :)
Answer: 7/12 portion
Explanation:
Jack can paint:
1 house = 3hr
1/3 portion= 1hr
Jill can paint:
1 house = 4hr
1/4 portion = 1hr
Both of them together can paint in 1 hour:
1/3 + 1/4 = 3/12 + 4/12 = 7/12 portion in 1hr
Answer:
We know that:
She needs 9/10 grams of flour for the cake (this quantity does not make a lot of sense, maybe is written incorrectly, but is the only info we have, so let's solve the problem with this)
She only has 1/3 of the amount she needs.
How much flour does she have?
Well, she needs 9/10 grams, and she has one-third of that.
Then she has (1/3) times (9/10) grams, this is:
F = (1/3)*(9/10) grams
F = (1*9)/(3*10) grams
F = 9/30 grams
That is the amount of flour that she has.
Answer:
x = 6
Step-by-step explanation:
Step 1: Write equation
75 - 3.5x - 4x = 4x + 6
Step 2: Solve for <em>x</em>
- Combine like terms: 75 - 7.5x = 4x + 6
- Add 7.5x on both sides: 75 = 11.5x + 6
- Subtract 6 on both sides: 69 = 11.5x
- Divide both sides by 11.5: 6 = x
- Rewrite x = 6
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
75 - 3.5(6) - 4(6) = 4(6) + 6
75 - 21 - 24 = 24 + 6
54 - 24 = 30
30 = 30
