Answer:
DE = 24
Step-by-step explanation:
The midsegment DE is half the length of the third side AC , that is
DE = AC =
× 48 = 24
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1 answer:
Answer:
The correct option is C.
Step-by-step explanation:
The bike shop owner rents out bikes and scooters.
The cost to rent a bike is $15 plus $8 per hour for each hour the bike is rented.
Rent of bike = Fixed rent + Variable rent
The rent function of a bike is
Where, t is number of hours.
The cost to rent a scooter is $35 plus $5 per hour for each hour the scooter is rented.
The rent function of a scooter is
Where, t is number of hours.
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
So by slope intercept form the rate of change of bike is $8 and rate of change of scooter is 5.
8>5
Therefor option C is correct.
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Answer:
Option E is correct.
12 pairs of socks and 15 pairs of shorts did team buy each year.
Step-by-step explanation:
Let the number of pairs of socks be x and the number pairs of shorts be y.
As per the statement:
Last year, the volleyball team paid $5 pair for socks and $17 per pair for shorts on a total purchase of $315.
⇒ .....[1]
It is also given that: This year they spent $342 to buy the same number of socks and shorts, because the socks now cost $6 a pair and the shorts cost $18.
⇒ .....[2]
Multiply equation [1] by 6 both sides we get;
.......[3]
Multiply equation [2] by 5 both sides we get;
.....[4]
Subtract equation [4] from [3] we get;
Divide both sides by 168 we get;
y = 15
Substitute the given values of y =15 in [1] we get;
5x+17(15) = 315
5x + 255 = 315
Subtract 255 from both sides we get;
5x = 60
Divide both sides by 5 we get;
x = 12
Therefore, 12 pairs of socks and 15 pairs of shorts did team buy each year.