Answer:
The answer is 1 13/27.
Step-by-step explanation:
First, convert any mixed numbers to fractions --
the initial equations then reads as 5/3 x 8/9.
Then, applying the fractions formula for multiplication --
5 x 8 / 3 x 9
40/27
Simplifying the above --
1 13/27
The gcf of 16 and 48 is the largest positive integer that divides the numbers 16 and 48 without a remainder<span>. Spelled out, it is the greatest common factor of 16 and 48 Is what google says.</span>
Answer:
The number of miles at which a car rented from either company cost the same amount is <u>50 miles</u>.
Step-by-step explanation:
Let x represents the number of miles at which a car rented from either company cost the same amount. Therefore, we can have the following equation:
RC = 25 + 0.14x ....................... (1)
BC = 23 + 0.18x ...................... (2)
Where;
RC = Total cost of Rent-Me Rent-A-Car
BC = Total cost of Better Deal Rental Car
The the cost of the two companies equal where RC = BC. Therefore, we equate equations (1) and (2) and solve for x as follows:
25 + 0.14x = 23 + 0.18x
25 - 23 = 0.18x - 0.14x
2 = 0.04x
x = 2 / 0.04
x = 50
Therefore, the number of miles at which a car rented from either company cost the same amount is <u>50 miles</u>.
<u>Note:</u>
This can be confirmed for equations (1) and (2) individually by substituting for x = 50 as follows:
For equation (1):
RC = 25 + 0.14(50)
RC = 25 + 7
RC = 32
For equation (2):
BC = 23 + 0.18(50)
BC = 23 + 9
BC = 32
Therefore, RC = BC = 32 confirms the answer.
Answer:
x = 3.7
Step-by-step explanation:
Apply trigonometric function to find x
Reference angle = 24°
Opposite = x
Hypotenuse = 9
This, apply SOH:
Sin 24 = Opp/Hyp
Sin 24 = x/9
9 × Sin 24 = x
3.66062979 = x
x = 3.7 (nearest tenth)
