Answer:
Plumber: 13 hours
Plumbing service: 10
Step-by-step explanation:
What you have to find is LCM(least common multiple in order to find the lcm all you have to do is list all the multiples and find their common multiple.
Answer:
1) Amy can invite 17 people.
2) x > 76
3) 40 - 6 is greater than or equal to 3x
4) x is greater than or equal to 98
Step-by-step explanation:
1) 50 + 8x = 200
2) 200 < 3x - 28
3) 40 = 6 +3x
4) (95 + 78 + 89 + x)/4 is greater than or equal to 90
Answer:
24, 14
Step-by-step explanation:
x + y = 38
x = 10 + y
You can substitute (10+y) into the top equation where the x is.
10 + y + y = 38
10 + 2y = 38
2y = 28
y = 14
Now plug 14 in for y in either equation to get x
x = 10 + 14
x = 24
Answer:
a) p + q + r
b) 2(a + b)
Step-by-step explanation:
The perimeter of a two-dimensional shape is the <u>distance</u> all the way around the outside.
An algebraic expression contains one or more numbers, variables, and arithmetic operations.
A variable is a symbol (usually a letter) that represents an unknown numerical value in an equation or expression.
<u>Question (a)</u>
The length of each side of the triangle is labeled p, q and r. Therefore, the perimeter is the sum of the sides:
Perimeter = p + q + r
So the algebraic expression for the perimeter of the triangle is:
p + q + r
<u>Question (b)</u>
Not all of the sides of the shape have been labeled.
However, note that the horizontal length labeled "a" is equal to the sum of "c" and the horizontal length with no label.
Similarly, note that the vertical length labeled "b" is equal to the sum of "d" and the vertical length with no label.
Therefore, the perimeter is twice the sum of a and b:
Perimeter = 2(a + b)
So the algebraic expression for the perimeter of the shape is:
2(a + b)
How many minutes did it take him to cover 1 mile? 5 minutes.