Answer:
The answer to your question is: 19 l
Step-by-step explanation:
Data
20 quarts to liters
Process
Rule of three
1 quart ------------------ 0.946 l
20 quarts -------------- x
x = (20 x 0.946) / 1
x = 18.92 l ≈ 19 l
Answer:
x=11.2
Step-by-step explanation:
Set up a proportion:
x+11/36 = 37/60
Cross multiply:
1332=60(x+11)
Distribute:
1332=60x+660
Subtract 660 from 1332
672=60x
Divide:
x=11.2
I'm not sure if this is the correct answer but I hope this helps! :)
Correct me if I'm wrong!
Answer:
The Answer would be 4n
Step-by-step explanation:
Since Marcus ran four times as far this week, we need to know how far he ran last week in order to solve this expression. Since we do not know this information it becomes our variable (n). From the statement we can also infer that there is multiplication since he states the word "times". Therefore our Algebraic Expression would be the following.
P = 4n
P being distance ran by Marcus, and n being distance ran last week by Marcus.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
<u>Question 8</u>
a^2 + 7a + 12
= (a+3)(a+4)
When factorising a quadratic, the product of the two factors should equal the constant term (12), and the sum of the two factors should equal the linear term (7). To find the two factors, list out the factors of 12 (1x12, 2x6, 3x4) and identify the pair that adds up to 7 (3+4).
An alternative method if you get stuck during your exam would be to solve it algebraically using the quadratic formula and then write it in the factorised form.
a = (-7 +or- sqrt(7^2 - 4(1)(12)) / 2(1)
= (-7 +or- sqrt(1))/2
= -3 or -4
These factors are the negative of the values that would go in the brackets when written in factorised form, as when a = -3 the factor (a+3) would equal 0. (If it were positive 3 instead, then in the factorised form it would be a-3).
<u>Question 10</u>
-3(x - y)/9 + (4x - 7y)/2 - (x + y)/18
Rewrite each fraction with a common denominator so you can combine the fractions into one.
= -6(x - y)/18 + 9(4x - 7y)/18 - (x + y)/18
= (-6(x - y) + 9(4x - 7y) - (x + y)) /18
Expand the brackets and collect like terms.
= (-6x + 6y + 36x - 63y - x - y)/18
= (29x - 58y)/18
= 29/18 x - 29/9 y
