Mathematics, 10.03.2020 17:33 ineedhelp2285

Business rents in-line skates and bicycles to tourists on vacation. A pair of skates rents for $15 per day. A bicycle rents for $20 per day. On a certain day, the owner of the business has 25 rentals and takes in $450. Write a system of equation to represent this situation, then solve the system of equations to find the number of each item rented.

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Answer from: ameera1973

The number of skates rented are 10 and number of bicycle rented are 15.

Step-by-step explanation:

Given:

Business rents in-line skates and bicycles to tourists on vacation. A pair of skates rents for $15 per day. A bicycle rents for $20 per day. On a certain day, the owner of the business has 25 rentals and takes in $450.

Now, to find the number of each item rented.

Let the number of skates rented be

And let the number of bicycle rented be

So, the owner of the business has total rentals:

x+y=25

$x=25-y\ \ \ ......(1)$

Now, the total amount it takes:

15(x)+20(y)=450

Substituting the value of from equation (1):

$15(25-y)+20(y)=450\\\\375-15y+20y=450\\\\375+5y=450$

Subtracting both sides by 375 we get:

5y=75

Dividing both sides by 5 we get:

y=15.

The number of bicycles rented = 15.

Now, substitute the value of in equation (1):

$x=25-y\\\\x=25-15\\\\x=10.$

The number of skates rented = 10.

Therefore, the number of skates rented are 10 and number of bicycle rented are 15.

Answer from: Quest

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has vertices $p(1,2),q(2,1),r(3,2),s(3,3)$ recall that for counterclockwise rotation about the origin, $(x,y)\rightarrow (-x,-y)$ when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will become $p1( - 1, - 2),q1( - 2, - 1),r1( - 3, - 2),s1( - 3, - 3)$ next, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain, $p'(1, - 2),q'(2, - 1),r'(3, - 2),s'(3, - 3)$ therefore the correct answer is c

Answer from: Quest

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