Answer:
20 miles
Step-by-step explanation:
The formula for distance is
d =rt where r is the rate and t is the time
We need to convert the time to hours since the rate is in mph
15 minutes * 1 hour/ 60 minutes = 1/4 hour = .25 hours
d = (80 mph) * .25 hours
d = 20 miles
Answer:
The number is 12
Step-by-step explanation:
[] First, let's turn all these words into something mathematical. N will equal "my number"
-><u> If you add 12 to my number</u> and then multiply the result by 3, you will get 64 more than two-thirds of my number.
-> n + 12 <u>and then multiply the result by 3</u>, you will get 64 more than two-thirds of my number.
-> 3(n + 12), you will get 64 more than <u>two-thirds of my number</u>.
-> 3(n + 12) = <u>64 more than</u> 
-> 3(n + 12) = 64 + 
[] Phew, okay. Now it is something we can solve and less scary;
[Given]
3(n + 12) = 64 + 
[Distribute]
3n + 36 = 64 + 
[Multiply both sides by 3]
9n + 108 = 192 + 2n
[Subtract 108 and 2n from both sides]
7n = 84
[Divide both sides by 4]
n = 12
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
y = -
x - 5
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = 2x + 3 is in this form with slope m = 2
given a line with slope m then the slope of a line perpendicular to it is
= -
= - 
y = -
x + c ← is the partial equation
To find c substitute (- 2, - 4) into the partial equation
- 4 = 1 + c ⇒ c = - 4 - 1 = - 5
y = -
x - 5 ← equation of perpendicular line
Answer:
f(-2) = 20
Step-by-step explanation:
f(x) = 2x² - 3x + 6
f(-2) = 2(-2)² - 3(-2) + 6
= 2(4) + 6 + 6
= 8 + 12
= 20
Answer:

Step-by-step explanation:
When we solve for an equation, our goal is to find the value of the variable. Any variable can be used, but for the time being let’s assume we use
.
We can algebraeically solve equations until we get the value of x - in which we will have x equal to something.
Say we have the equation
. Our goal is to find the value of
. <u>We can do this by getting x isolated on one side so we have something equal to x</u>.
We can subtract 5 from both sides and divide both sides by 5.

We now know the value of
since it’s on one side of the equation.
Hope this helped!