a. The inequality 15x+300≤750 represents the situation.
b. It means that the band can spend at most $30 on each uniform without exceeding the budget.
Step-by-step explanation:
Given,
Budget = $750
Competition fee = $300
Uniforms to make = 15
Let,
x be the amount for each uniform.
a. Write an inequality to represent this situation.
Uniforms to make * Cost per uniform + Competition ≤ Budget
15x+300 ≤ 750
The inequality 15x+300≤750 represents the situation.
b. Solve the inequality and describe what it means in the situation.
![15x+300\leq 750\\15x+300-300\leq 750-300\\15x\leq 450](https://tex.z-dn.net/?f=15x%2B300%5Cleq%20750%5C%5C15x%2B300-300%5Cleq%20750-300%5C%5C15x%5Cleq%20450)
Dividing both sides by 15
![\frac{15x}{15}\leq \frac{450}{15}\\x\leq 30](https://tex.z-dn.net/?f=%5Cfrac%7B15x%7D%7B15%7D%5Cleq%20%5Cfrac%7B450%7D%7B15%7D%5C%5Cx%5Cleq%2030)
It means that the band can spend at most $30 on each uniform without exceeding the budget.
Keywords: inequality, division
Learn more about inequality at:
#LearnwithBrainly
LGN I believe. If you look at how the ret part of the match corresponds with the next match, you can correspond the letters based on the other triangles.
Answer: 24 model airplanes can be made in 2 hours.
Step-by-step explanation:
![\bf Step-by-step~explanation:](https://tex.z-dn.net/?f=%5Cbf%20Step-by-step~explanation%3A)
Keep in mind: The entire line segment (VX) is equal to 14.
![\bf Step~1:](https://tex.z-dn.net/?f=%5Cbf%20Step~1%3A)
Let's see how the line segment looks like first.
Line segment VX is 14 units long.
14
______________
V X
W is on the line segment somewhere, and VW is equal to 3.
3 ?
______________
V W X
![\bf Step~2:](https://tex.z-dn.net/?f=%5Cbf%20Step~2%3A)
We have to solve for the <em>?.</em> Let's put ? as x. So now we are solving for x.
We have to set up our equation like this:
x + 3 = 14
Since our unknown value plus 3 is equal to 14, we have to subtract 3 from 14 to get our answer.
14 - 3 = 11
3 11
______________
V W X
![\large\boxed {\bf Our~final~answer: ~WX=11}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%20%7B%5Cbf%20Our~final~answer%3A%20~WX%3D11%7D)