Answer:
40 miles per hour.
Step-by-step explanation:
Divide the total amount of miles by the number of miles, in this case, 200 by 5 to find out how fast it traveled in 1 hour.
200/5=40
Answer:
x = 26
Step-by-step explanation:
8)
6x + x - 2 = 180
7x - 2 = 180
7x = 182
x = 26
Answer:
absolute value its written as:
| expression | > x
*> written can also be < , ≥ , or ≤
| | (two vertical lines on both sides of something) indicate absolute value
(absolute value considers the space between a number and 0;
| x | = 3
then x could be = 3 or = -3
you can also think of anything inside | | to be written as positive;
| 3 | = 3
| -3 | = 3)
you could also right, from this example: | x | > 3
our value of x could either be greater than 3, or, our x-value is negative (and only the absolute value is greater than 3, meaning that negative -x, is greater than three)
we separate these possibilities into two expressions:
x > 3 - x > 3
· -1 · -1 {inequalities flip direction when multiply by negative}
x < -3
so, x > 3 and x < -3 can be combined:
x > 3 <em>or </em> x < 3
(graph of example attached)
hope this helps!!
Answer:
1/2 or 0.5
Step-by-step explanation:
If there is 2 cats and 2 dogs it would be 2/4, simplify 2/4 you get 1/2. Same with a decimal number 0.25 for each, half is 0.5. I hope that works, sorry if it doesn't!
Answer:
4y = 6x + 40
Step-by-step explanation:
The general equation of a straight line is y = mx + b
m is the slope and b is the y-intercept
let us write both equations in this form;
we have this as;
6y = -4x + 1
y = -4x/6 + 1/6
and;
2x + 3y = 18
3y = -2x + 18
y = -2x/3 + 6
So firstly we want to find an equation that is perpendicular to the first
When two lines are perpendicular, their slopes has a product of -1
The slope of the first line is -4/6
let the slope of the line we want be m
As per they are perpendicular;
-4/6 * m = -1
-4m/6 = -1
-4m = -6
m = 6/4
So now, we want the y-intercept greater than that of the second equation which is a y-intercept of 6
we can choose 10
and we have the equation as:
y = 6x/4 + 10
multiply through by 4
4y = 6x + 40
