Answer:
b = -6
Step-by-step explanation:
Apply the exponent rule that
In this case, 
Set that equal to
:

Apply the exponent rule that
so now you get:

Since the base is y for both sides of the equation, just set the exponents equal to each other and solve for b.
4b = -24
divide each side by 4 to get:
b = -6
It would take 1.25 minutes to complete each problem because 10 divided by 8 equals 1.25
Answer:
x = 24
Step-by-step explanation:
using the rule of exponents
×
= 
consider left side
× 
=
× 
= 
then
= 
since the bases on both sides are equal, both 5 then equate exponents
= 16 ( multiply both sides by 6 )
4x = 96 ( divide both sides by 4 )
x = 24
Answer:
$45 after the discount
Step-by-step explanation:
Set up a proportion.
$50 is the total amount and make the 10% a decimal
x(100) = 50(10)
100 = 500
100 ÷ 500
x = 5 <-- We have to subtract this amount from the total
$50 - $5 = $45 <-- total after the discount
<u>Hope this helps!!</u>
He can travel 500 miles if he spends $200.
Hope this helps :)