Answer:
Step-by-step explanation:
<u>Price of computer:</u>
<u>Warranty </u>
<u>Total</u>
- $1486.25 + $199.99 = $1686.24
<u>Payment per month:</u>
No, (2,2) is not solution of y < 4x - 6
Step-by-step explanation:
To solve above linear problem, we use standard method of Back- Substitution.
First of all, A point (2,2) only becomes solution of equation, if it satisfies equation
.
Here, the
seems to be like a linear equation.
In this Equation, using Back- Substitution method,
Point (2,2) : first digit 2 corresponds to x- coordinate and second digit 2 corresponds to y-coordinate.

By putting value of x and y in equation (1),
Equation becomes,


.... not true mathematically.
Finally, the result came is not true. Therefore, (2,2) is not solution for equation
It is 12 - 2/3 = 18, then solve :)
hope that helps :D
Answer:
p = 6; RPQ = 60 degrees
Step-by-step explanation:
Because RPS is 120 degrees and it is bisected by PQ (cut into 2 equal parts), we can determine that both sides are 60 degrees. Set the expression 5p+30 equal to 60 to find the value of p.
5p + 30 = 60
5p = 30
p = 6
So now you have determined that p = 6, and the measure of RPQ is 60 degrees.
Hope this helped!
Answer:
2.5 miles
Step-by-step explanation:
The relation between time, speed, and distance is ...
distance = speed × time
We can define t to be Stanley's swimming time. Then t+0.5 was his running time, and 2(t+0.5) was his biking time. His total distance covered is ...
64 = 9(t +0.5) +16(2(t +0.5)) +2.5(t)
64 = 43.5t +20.5 . . . . . . . simplify
43.5 = 43.5t . . . . . . . . . subtract 20.5
t = 1 . . . . . . . . . . . . . . divide by the coefficient of t
Stanley swam for 1 hour, so the distance he covered while swimming was ...
(2.5 mi/h)(1 h) = 2.5 mi
Stanley covered 2.5 miles while swimming.
_____
<em>Additional comment</em>
Stanley ran for 1.5 hours, covering 9×1.5 = 13.5 miles. He biked for 3 hours, covering 16×3 = 48 miles. His total distance was 2.5 +13.5 +48 = 64 miles, as given.