Answer:
7 hours
Step-by-step explanation:
Step one:
given data
let the total charges be y and the number of hours be x
Company A charges
$60 reservation fee plus another $15 per hour.
so
y=60+15x----------1
Company B charges
$25 reservation fee plus another $20 per hour
y=25+20x------------2
Step two:
equate the 2 expressions above we have
60+15x=25+20x
collect like terms
60-25=20x-15x
35=5x
divide both sides by 5
x= 35/5
x= 7 hours
V: volume of a cone = (πr²h)/3 = 104.67 in³
π: pi = 3.14
r: radius = 1/2 diameter = [unknown]
h: height = 4 in
V = (πr²h)/3
V = r²(πh)/3
r² = (3V)/(πh)
r² = (3 ×104.67)/(3.14 × 4)
r² = 25
r = √25
r = 5 (but remember the radius is only 1/2 the diameter)
thus . . .
<u><em>d = 10 in </em></u>
Answer:
8 in, 8 in and 20 in
Step-by-step explanation:
Let the equal sides of the isosceles triangle be x, then
The base = 2.5x
Sum the 3 sides and equate to the perimeter of 36
x + x + 2.5x = 36
4.5x = 36 ( divide both sides by 4.5 )
x = 8
Thus the 2 equal legs = 8 in
base = 2.5x = 2.5 × 8 = 20 in
Answer:

Step-by-step explanation:

Answer:
10/8 or 1 1/5
Step-by-step explanation:
1) distributive property
- 6(x+2)+7=5(x+3)-7(x-2)
- 6x+12+7=5x+15-7x+14
2) combine like terms
3) isolate x
4)simplify