15. fundraising trisha and byron are washing and vacuuming cars to raise money for a
class trip. trisha raised $38 washing 5 cars and vacuuming 4 cars. byron raised $28 by
washing 4 cars and vacuuming 2 cars. find the amount they charged to wash a car and
vacuum a car.

Step-by-step explanation:

5w + 4v = 38

4w + 2v = 28multiply by -2

5w + 4v = 38

-8w - 4v = - 56 (result of multiplying by -2)

add

-3w = -18

w = -18/-3

w = 6 <=== it cost $ 6 to wash a car

4w + 2v = 28

4(6) + 2v = 28

24 + 2v = 28

2v = 28 - 24

2v = 4

v = 4/2

v = 2 <=== it cost $ 2 to vacuum a car

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.