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Alexeev081 [22]
3 years ago
8

You are planning a skating party at a rink that charges a basic fee of $6.00 and $6.50 per person for catered parties. You don’t

want to spend more than $71.00. Write and solve an inequality to find the number of friends you can invite
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
4 0

Answer:

y = 6.50x + 6 or 71 = 6.50x + 6

10 people are the max you can invite

Step-by-step explanation:

We have the simple equation

y = 6.50x + 6

6.50x because it it per person

6 because it is a flat one time charge

We want the max to be 71 so that will be our y

71 = 6.50x + 6

We are now going to solve for x

65 = 6.5x

x = 10

Hope it helps! (:

You might be interested in
What is the width of a rectangle that has an area of 10 ft.² and a length of 24 inches give your answer in feet
VladimirAG [237]

Answer:

Width = 5 ft

Step-by-step explanation:

A=wl

10 = wl

24 inches = 2 ft

10 = w*2

10/2=w*2/2\\5=w

5 0
3 years ago
The general solution of 2 y ln(x)y' = (y^2 + 4)/x is
Sav [38]

Replace y' with \dfrac{\mathrm dy}{\mathrm dx} to see that this ODE is separable:

2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}

Integrate both sides; on the left, set u=y^2+4 so that \mathrm du=2y\,\mathrm dy; on the right, set v=\ln x so that \mathrm dv=\dfrac{\mathrm dx}x. Then

\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v

\implies\ln|u|=\ln|v|+C

\implies\ln(y^2+4)=\ln|\ln x|+C

\implies y^2+4=e^{\ln|\ln x|+C}

\implies y^2=C|\ln x|-4

\implies y=\pm\sqrt{C|\ln x|-4}

4 0
3 years ago
Anyone care to help please if you can
Fittoniya [83]
Y^2-4x
5^2-4(5)
25-20
5
3 0
3 years ago
Read 2 more answers
Please help me on this it’s due please help me
GuDViN [60]
9 1/2 * 15.15 = $143.925 dollar
3 0
2 years ago
1 | Find the equivalent to:
Gennadij [26K]

Answer:

B) \frac{7}{7^5}

Step-by-step explanation:

\frac{7^3*7^-2}{7^5} =\frac{1}{2401}

\frac{7}{7^5} =\frac{1}{2401}

hope this helped!

brainliest please!

7 0
2 years ago
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