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Slav-nsk [51]
3 years ago
12

You have $39 to spend at the music store. Each cassette tape costs $5 and each CD costs $11. Write a linear inequality that repr

esents this situation. Let x represent the number of tapes and y the number of CDs.
Mathematics
2 answers:
erica [24]3 years ago
8 0
5x + 11y < = 39 (thats a less then or equal sign)
vitfil [10]3 years ago
8 0

Answer:  The required inequality is 5x+11y\leq 39.

Step-by-step explanation:  Given that we have $39 to spend at the music store. Each cassette tape costs $5 and each CD costs $11.

We are to write a linear inequality that represents this situation.

The number of tapes and the number of CDs are represented by x and y respectively.

The cost of x tapes is given by

5\times x=5x

and the cost of y CDs is given by

11\times y=11y.

Since we have $39 to spend, so the inequality that represents the situation is

5x+11y\leq 39.

Thus, the required inequality is 5x+11y\leq 39.

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scZoUnD [109]

Answer :he can fill 5 bags

Step-by-step explanation: 3/4 times 5

3 0
3 years ago
maximize P=9x+9y Subject to 2x+y is less than or equal to 30 x+2y is less than or equal to 24 x, y is greater than 0 What is the
Inga [223]
Find the intersection point between the 2 restraint equations:
30 - 2x = 12 - \frac{1}{2} x  \\ \frac{3}{2} x = 18  \\  x = 12

Substitute back in to find y-value:
y = 30 - 2(12) = 6

P is maximized at point (12,6)
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3 0
3 years ago
A spherical balloon is inflating with helium at a rate of 64 pi StartFraction ft cubed Over min EndFraction . How fast is the​ b
olga2289 [7]

Answer:

The radius of the balloon is increasing at a rate of 4 feet per minute.

Step-by-step explanation:

We are given the following in the question:

\dfrac{dV}{dt} = 64\pi \dfrac{\text{ ft}^3}{\text{min}}

Volume of sphere is given by

V = \dfrac{4}{3}\pi r^3

where r is the radius of the balloon.

Instant radius, r = 2 ft

Rate of change of volume =

\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt} =4\pi r^2\dfrac{dr}{dt}

Putting values, we get,

64\pi = 4\pi (2)^2\dfrac{dr}{dt}\\\\\Rightarrow \dfrac{dr}{dt} = 4

Thus, the radius of the balloon is increasing at a rate of 4 feet per minute.

5 0
3 years ago
Tonya bought x bottles of juice for $2 each and y cartons of eggs for $5 each. she spent $18 in all. Which equation represents t
zepelin [54]
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7 0
4 years ago
Read 2 more answers
Please help!! Will give brainliest!! ​
aksik [14]

Answer:

n=6

Step-by-step explanation:

64(4^n)=262144 then divide it by 64 which is 4^n=4096. divide 4096 by 4 and you get 6

5 0
3 years ago
Read 2 more answers
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