Answer:
The answer is 27 miles in the morning and 85 miles in the afternoon.
Step-by-step explanation:
So first you have to set up an equation.
X represents: the number of miles they rode in the morning.
3X + 4 represents: 4 more than 3 times this many in the afternoon
3X+4 + X = 112 represents: adding the morning miles and the afternoon miles together to get the total trip of 112 miles
Your equation to solve 3X+4+X =112
Now you can solve the equation
3X+4+X =112
Combine like terms (x's)
3X + X = 4X
4X+4=112
Subtract 4 from each side:
4X+ 4 - 4= 112-4
4-4 = 0 and 112-4 = 108
4X = 108
Divide both sides by 4
4X/4 = 108/4
4/4 = 1X and 104/4 = 27
X = 27
Remember X represents the number of miles they rode in the morning, so they rode 27 miles in the morning.
Remember 3X+4 represents the number of miles they rode in the afternoon.
3X+4 =
3(27)+4 =
81+4 =
85 miles.
That means in the afternoon, they rode 85 Miles
Answer:
x=400
Step-by-step explanation:
You cannot subtract the 30x from 985 because 985 is not a like term - meaning there is no 'x' attached to 985. Very important - only add/subtract like terms.
So:
30x - 215 = 985
move 215 to the other side because 215 and 985 are similar (they are just regular numbers - no extra variables). To move 215 to the other side you need to perform the same operation to both sides of the equal sign.. that way it cancels out on one side and moves to the other, like so:
(30x - 215)+215 = 985+215
=> 30x = 1200
Now we need to find x, not 30 x, so since 30 is being multiplied by x, to get it the other side we need to divide it out..
(30x)/30 = (1200)/30
x = 400
The measure of the two vertical angles is 15°
The two vertical angles have measures (4x-21)° and (x+6)°
Note that:
The measure of two vertical angles are equal
Therefore, equate (4x-21)° and (x+6)° and solve for x
(4x-21)° = (x+6)°
4x - 21 = x + 6
Collect like terms
4x - x = 6 + 21
3x = 27
x = 27/3
x = 9
Substitute x = 9 into 4x - 21
4x - 21 = 4(9) - 21
4x - 21 = 15°
Substitute x = 9 into x + 6
x + 6 = 9 + 6
x + 6 = 15°
Learn more here: brainly.com/question/25600404
I’m not sure but I think 4 classes have between 27 and 31 students
Answer:
1.)x≤9
2.)x≥0.5
Step-by-step explanation:
1.)x+6≤15
x+6-6≤15-6
x≤9
2.)x+1.5≥2
x+1.5-1.5≥2-1.5
x≥0.5
