Answer:
9
Step-by-step explanation:
We're using the Pythagorean theorem here since it's a right triangle.
a^2 (side) + b^2 (side) = c^2 (hypotenuse)
12 = a
x = b
15 = c
12^2 + b^2 = 15^2
144 + b^2 = 225
- 144 - 144 (subtracting 144 from both sides to isolate b)
b^2 = 81
(getting rid of the exponent by squaring both sides)
b = 9
x = 9
Step-by-step explanation:
The price should be $36.75
Answer:
$28.3
Step-by-step explanation:
x=rate for 1km
y=initial fee
Mike: $35 for 15km -> 35 = 15x + y
Thomas: $24.50 for 10km -> 24.50 = 10x + y
Using those two equations we see the following:
Mike paid $10.5 more for 5 more km. The initial fee remains unchanged, so we can calculate the rate for 1km, which is 10.5/5=2.1.
35 = 15x + y
24.50 = 10x + y
10.5 = 5x
2.1=x
Using that value with one of the original equations we can calculate the initial fee.
35 = 15x + y
35 = 15*2.1 + y
35 = 31.5 + y
3.5 = y
Mike paid 15*2.1=31.5 ($2.1 for every km) plus the initial fee, his total was $35.
We subtract the 31.5 from the 35(total) and get the initial fee, which is $3.5.
<u>Let's see what Lex will pay:</u>
Km travelled times 2.1 (the rate for 1km) plus 3.5 (the initial fee).
12*2.1 + 3.5 = 28.3
Lex will pay $28.3 for the same taxi company to travel 12 km.
Answer:
Step-by-step explanation:
The first plan has no initial fee. If the unknown is the number of miles driven, then the equation for the first plan is
C(x) = .7x
The second plan has a fee plus mileage, so with the unknown again being the number of miles driven, then the equation for the second plan is
C(x) = .6x + 75
If we are looking to solve for the number of miles when the cost is the same, we set the cost functions equal to each other and solve for x:
.7x = .6x + 75 and
.1x = 75 so
x = 750
This is really a very helpful thing to be able to figure out, because if you use the first plan and want to drive MORE than the 750 miles, you will be paying more than if you want to drive more than the 750 miles and choose the second plan. For miles less than 750 plan one is cheaper, for miles greater than 750 plan two is cheaper.
See, there really IS a reason for all this algebra!!
