Remember that you can do anything to an equation as long as you do it to both sides except divide by zero
so you can add like terms like this
you can add similar things like 1+3 and m+2m and m^2+2m^2 but not unlke things like 1+m or m+m^2
so m+2m=1m+2m=3m so
r-4+6r=3+8r
use commutative property to move numbers around (a+b=b+a)
group like terms
r+6r-4=3+8r
add like terms
1r+6r-4=3+8r
7r-4=3+8r
subtract 7r from both sides
7r-7r-4=3+8r-7r
0r-4=3+1r
-4=3+r
subtract 3 from both sides
-3-4=3-3+r
-7=0+r
-7=r
r=-7
Hello!
We are asked to find the number of lines the choir has to learn in time for a concert.
We're given that the concert is in 7 weeks, but they learn new lines each day, so we have to convert it to days. We know that there is 7 days in a week, we would multiply 7 weeks by 7 days, which is 49 days.
Now, we would take the total number of lines, which is 3016, and divide that by 49 days.
3016 lines / 49 days ≈ 61.55 lines/day
Since this is a real-world situation, we should round our answer is to nearest whole number, which would be 62 lines/day.
Therefore, Ester's choir needs to learn about 62 lines per day in time for the concert.
14 ounces is about .39 kilograms. So 14 ounces is greater than .4 kilograms
Answer:
18
Step-by-step explanation:
Number of pieces = Length of ribbon/Length of each piece
= (13½) ÷ (¾)
Convert the mixed number to an improper fraction
No. = (²⁷/₂) ÷ (¾)
Invert the proper fraction and change division to multiplication
No. = ²⁷/₂ × ⁴/₃
Cancel the 2s
No. = 27 × ⅔
Cancel the 3s
No. = 9 × 2
No. = 18
Sam can cut 18 pieces of ribbon.
The solutions to q² - 125 = 0 are q = ±√125.
q = -5√5
q = 5√5
