Answer:
a)x=5; b)x=4
Step-by-step explanation:
a) 4x-3=2x+7
=>4x-2x=7+3
=>2x=10
=>x=5 [divide both by 2]
b)2x+6=7x-14
=>7x-2x=6+14
=>5x=20
=>x=4 [divide both by5]
Answer:
y + 2 = ⁶/₅(x - 5) {the point-slope form of the equation}
y = ⁶/₅x - 8 {the slope-intercept form of the equation}
6x - 5y = 40 {the standard form of the equation}
Step-by-step explanation:
The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.
m = ⁶/₅
(5, -2) ⇒ x₀ = 5, y₀ = -2
So, the point-slope form of the equation:
y + 2 = ⁶/₅(x - 5)
Therefore:
y + 2 = ⁶/₅x - 6 {subtract 2 from both sides}
y = ⁶/₅x - 8 ← the slope-intercept form of the equation
-⁶/₅x + y = - 8 {multiply both sides by (-5)}
6x - 5y = 40 ← the standard form of the equation
Answer:
Step-by-step explanation:
256
Well to do this, we need to know the least common multiple (LCM) of 6 and 8. Lets list the factors out.
6, 12, 18, 24, 30, 36
8, 16, 24, 32, 40, 48
As we can see, the least common multiple of 6 and 8 is 24.
Now we know that there are 8 plates per package and 8 goes into 24 3 times, so naturally Shaniya needs 3 packages of plates
Hope this helped!!! :)
The sense of "rate<span>" being used is "a quantity, amount, or degree of something measured per unit of something else". This is what is asked in this problem. TO calculate, we divide the number of steps to the time it takes.
Steps/min = 775/12 1/2 = 62 steps per minute
Hope this answers the question. Have a nice day.</span>
