Answer:
-2x + 8
Step-by-step explanation:
(2x - 6) is subtracted from (7 - 5).
First term that into an equation.
Because our first term is being subtracted from our second one, our equation is written as:
(7 - 5) - (2x - 6).
Simplify the first term by subtracting:
7 - 5 = 2
Now simplify the second term by multiplying 2x - 6 by -1 to get them out of the parenthesis. We do this because there is a negative sign in front of it.
-1 (2x - 6)
-2x + 6
Now our equation is:
2 - 2x + 6
Combine like terms:
2 + 6 = 8
So -2x + 8
(2x - 6) subtracted from (7 - 5) is -2x+8
The answer is 7 sections
In this type of question, you just need to divide the total length of the line that drawn by Jason with the length of sections that Jason want.
So, the calculation would be:
(7/8) / (1/8)
= 7/8 x 8/1
= 7 amount of sections
Answer:
480
Step-by-step explanation:
1/5 of 400 = 1/5 * 400 = 80
increase 400 by 80 = 480
Let the weight of Paula's dog be x
Let the weight of Carla's dog be y
We know that the weight of Paula's dog is 3 times that of Carla's dog, therefore:
x = 3y ...........> equation I
We also know that the sum of the weights is 48 pounds, therefore:
x + y = 48 ............> equation II
Substitute with equation I in equation II:
3y + y = 48
4y = 48
y = 12 pouds
Substitute with the value of y in equation I:
x = 3(12) = 36 pounds
Based on the above calculations:
Paula's dog weighs 36 pounds
Carla's dog weighs 12 pounds
Answer:
b. x - 2y = 4
Step-by-step explanation:
The two points on the graph are (0, -2) and (4, 0).
Find slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (0 - (-2)) / (4 - 0)
= 2 / 4
= 1 / 2
Find y intercept using anyone of the points above:
y = mx + b
-2 = 1/2(0) + b
b = -2
Use m and b to make equation of line:
y = mx + b
y = 1/2x - 2
Possible answers:
a. 4x - 2y = 4
-2y = -4x + 4
y = 2x - 2
b. x - 2y = 4
-2y = -x + 4
y = 1/2x - 2
c. -2x + 4y = -4
4y = + 2x - 4
y = 1/2x - 1
Only choice b equals the equation of line above.
