Answer:
Chuck's rate of travel = 63mph
Step-by-step explanation:
Given chuck travels 252 miles and dana travels 228 miles. Given that they both take same time to travel .
Let the travelling time be T.
Also given that the speed of chuck is 6mph greater than that of dana's.
let the speed of chuck be x. Now
Speed = 
x= 
Now for Dana's speed
x-6= 
When we divide both the equations we get


x=63mph
Hey there!!
Let's take the first number an the smallest number as ' x '
Then, the second consecutive even integer would become ' x + 2 '
Third integer ' x + 4 '
Hence, adding them up, we get,
x + x + 2 + x + 4
... 3x + 6
This is equal to 4 times the smallest number.
We got the smallest number as ' x '
Hence, the final equation :
... 3x + 6 = 4x
Hope my answer helps!!
Answer:
The equation of the line in slope-intercept form is:
y = x + 4
Step-by-step explanation:
The slope-intercept form of the line equation

where
Given the points on the line graph
Determining the slope between (0, 4) and (1, 5)
(x₁, y₁) = (0, 4)
(x₂, y₂) = (1, 5)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [5 - 4] / [1 - 0]
= 1 / 1
= 1
Thus, the slope of the line = m = 1
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = 1 in the slope-intercept form
y = mx + b
y = (1)x + 4
y = x + 4
Therefore, the the equation of the line in slope-intercept form is:
y = x + 4
70-q-q-2q= 80
combine like terms first
so you get 70-4q= 80
subtract 70 on both sides and you get -4q= 10
divide -4 on both sides and you get q= 10/-4 or -2.5
Answer:
4/3
Step-by-step explanation:
−x+
3
7
=2x−
25
7
Step 1: Simplify both sides of the equation.
−x+
3
7
=2x+
−25
7
Step 2: Subtract 2x from both sides.
−x+
3
7
−2x=2x+
−25
7
−2x
−3x+
3
7
=
−25
7
Step 3: Subtract 3/7 from both sides.
−3x+
3
7
−
3
7
=
−25
7
−
3
7
−3x=−4
Step 4: Divide both sides by -3.
−3x
−3
=
−4
−3