Answer:
1 1/30 gallons, or 31/30 gallons of paint
Step-by-step explanation:
Before these fractions can be added together they have to have a common denominator. The Least Common Multiple of 2, 3, and 5 is 30, so
1/3 = 10/30 1/5 = 6/30 1/2 = 15/30
10/30 + 6/30 + 15/30 = 31/30, or 1 1/30
Answer:
67
Step-by-step explanation:
3^7 = 2187
6^6 = 46656
46656+2187=48843
Prime factors of 48843: 3, 3, 3, 3, 3, 3, 67
Factor tree:
48843
| \
16281 3
| \
5427 3
| \
1809 3
| \
603 3
| \
201 3
| \
67 3
Answer:
- m = (2-(-2))/(2-(-2)) = 4/4 = 1
- y +2 = 1(x +2)
Step-by-step explanation:
The point-slope form of the equation for a line with slope m through point (x1, y1) is ...
y -y1 = m(x -x1)
To find the slope of the line, find the ratio of the difference in y-values of the points to the difference in corresponding x-values. Here, the slope is ...
m = (2 -(-2))/(2 -(-2)) = 4/4 = 1 . . . work to compute slope
The problem statement tells you x1 = -2, y1 = -2. Putting the numbers in to the point-slope form gives ...
y -(-2) = 1(x -(-2))
y + 2 = x + 2 . . . equation form with m, (x1, y1) filled in
__
The answer at the top leaves the slope shown as 1. We don't know how much simplification you are expected to do. Obviously, this <em>could</em> be simplified to y=x, but then the use of (-2, -2) for the point would not be obvious.
Answer:
6
Step-by-step explanation:
this question is basically asking you to find the HCF of 30 and 36
step 1 : draw prime factor tree diagrams and write the numbers out as the product if their prime factors
step 2: multiply the prime factors they have in common
30 = 2 x 3 x 5
36 = 2 x 2 x 3 x 3
HCF = 2 x 3 = 6
Answer:
105 children
Step-by-step explanation:
35/100×300
105
