7/8+(−2/3) divided by 5/6
(7/8 - 2/3)/(5/6)
=(21/24 - 16/24) / (5/6)
= (5/24) / (5/6)
= 5/24 * 6/5
= 6/24
= 1/4
Answer: Line 1: (2, 3) , (4, 12)
m = (12 - 3)/(4 - 2) = 9/2 This is the slope of the line
y = (9/2)x + b
3 = (9/2)(2) + b
3 = 9 + b
b = -6
y = (9/2)x - 6
Line 2: (5, 10) , (14,8)
m = (8 - 10)/(14 - 5) = -2/9
this slope is the opposite sign, and inverse of the first equation's slope. Therefore, the line is perpendicular.
y = mx + b
8 = (-2/9)(14) + b
8 = -28/9 + b
11.11 = b
y = (-2/9)x + 11.11
Step-by-step explanation: Hope this helps :)
2(3+3) or 2(3)+6, so the answer is the third option. It’s just using the distributive property.
Given inequality : 175 ≤ 3x-17 ≤ 187, where x represents the height of the driver in inches.
Let us solve the inequality for x.
We have 17 is being subtracted in the middle.
Reverse operation of subtraction is addition. So, adding 17 on both sides and also in the middle, we get
175+17 ≤ 3x-17+17 ≤ 187+17
192 ≤ 3x ≤ 204.
Dividing by 3.
192/3 ≤ 3x/3 ≤ 204/3.
64 ≤ x ≤ 68.
Therefore, the height of the driver should be from 64 to 68 inches to fit into the race car.
Answer:
$18.75
Step-by-step explanation:
Let
y = Total cost
x = number of kilometers
The equation:
y = 3.75 + 1.50x
If x = 10 km
y = 3.75 + 1.50(10)
= 3.75 + 15
= 18.75
y = $18.75
y = Total cost = $18.75
