Answer:
A
Step-by-step explanation:
Change the mixed numbers to improper fractions
7 
= 
6 
= 
The subtraction is then
-
Both fractions have a common denominator so subtract the numerators leaving the denominator
= 
= 
→ A
The point-slope form:
m - slope
(x₁, y₁) - point
The formula of a slope:
We have the points (-2, 7) and (1, 1). Substitute:
<em>point-slope form</em>
<em> slope-intercept form</em>
<em>standard form</em>
93 / 12 = 7.75
so Lester earns $7.75 a hour.
if he earns $62 how many hours did he work.
so 62 = 7.75 (h)
62/ 7.75 = 8
so he worked 8 hours.
Answer:
6.81m
Step-by-step explanation:
Using the formula for finding the length of am arc
L = theta/360° × 2πr
theta is the angle subtended by the drum in rotation
r is the radius of the drum
Given theta = 315.7°
r = 1.1m
Substituting the given values into the formula we have:
L = 315.7/360 × 2π(1.1)
L = 315.7/360 × 2.2π
L = 315.7/360 × 2.2(3.14)
L = 315.7/360 × 6.91
L = 6.81metres
Line of about 6.81metres will be wounded around the drum
Answer:
x = 2
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
(4+(4•(x-2)))-(2•(x+1)-x) = 0
Step 2 :
Equation at the end of step 2 :
(4 + 4 • (x - 2)) - (x + 2) = 0
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
3x - 6 = 3 • (x - 2)
Equation at the end of step 4 :
3 • (x - 2) = 0
Step 5 :
Equations which are never true :
5.1 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
5.2 Solve : x-2 = 0
Add 2 to both sides of the equation :
x = 2
One solution was found :
x = 2
Processing ends successfully
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