Ahigh school coach wants to buy new athletic shorts for the 15 members of the basketball team. the coach must spend less than $200 on the shorts. which inequality represents how many pairs of shorts, s, the coach can buy?

The required inequality is .

Step-by-step explanation:

Consider the provided information.

Let s be the cost of each short.

Shorts price for 15 members of the basketball team is 15s.

The budget is $200 and he have 15 members.

Now, use the less than sign as coach can spend less than $200.

Therefore, the inequality is

It can be further solve to find the cost of each shorts:

The coach may spend up to $13.33 per pair of shorts.

Therefore, the required inequality is .

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3