Nine n plus 1 word phrase--
Given:
Rental costs $23 to rent a bike for 6 hours.
A customer gets 0.26 hours as a rent for a dollar.
Answer:
28 feet
Step-by-step explanation:
We know that the perimeter of a square is 
, where l is the length and w is the width.
We also know that the perimeter of a triangle is all of its sides added up.
Since the perimeters will be equal to each other, we can make both of these statements an equation that are equal to each other.
Basically:
We can combine like terms to get a <em>less scary</em><em> </em>equation.
Our goal is to now isolate x so we can find it's value.
Add 2 to both sides:
Subtract 6x from both sides:
Add 10 to both sides:
Divide both sides by 2:
Now we know the value of x, however, our work isn't done. They want to know the perimeter, so we need to substitute x in as 5.
Let's do it on the triangle.
(remember, this is our simplified version of the triangle)
Hope this helped!
Answer:
1) $350
2) 55°
3) $300
Step-by-step explanation:
1) The total cost is the cost of the appointment plus the cost of the repair work. The appointment costs $50. The repair work costs $120 per 2 hours. So the total cost is:
C = 50 + (120/2) t
C = 50 + 60t
For 5 hours of work, the cost is:
C = 50 + 60(5)
C = 350
It costs $350.
2) The temperature starts at 70°. It drops 10° in 4 hours. So the temperature after t hours is:
T = 70 + (-10/4) t
T = 70 − 2.5t
After 6 hours:
T = 70 − 2.5(6)
T = 55
The temperature is 55°.
3) Jennie's total pay is her weekly pay plus her commissions. If her commission is x% of her sales, then her pay is:
P = 250 + (x/100) S
When her sales is $1000, her pay is $275.
275 = 250 + (x/100) 1000
275 = 250 + 10x
25 = 10x
x = 2.5
So her pay is:
P = 250 + (2.5/100) S
When S = $2000:
P = 250 + (2.5/100) 2000
P = 250 + 50
P = 300
Her total pay is $300.
<span>All three sides of triangle X'Y'Z' must be parallel to the corresponding sides in triangle XYZ and the corresponding angles are congruent .
The dilated triangle will be similar to the original triangle, which means all angles will be the same.
</span><span>The sides of the two triangles will also be parallel. You can test this by observing the slopes:
Line XY has a slope of 2/3, moving from -4,2 and passing through -1,4.
Line X'Y' has the same slope, moving from (-6,3) to (-3,5)
You can see that this is the case for all corresponding sides' slopes. </span>
