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3 years ago

8

the senior class is taking a trip to an amusement park. they received a special deal for every 3 tickets they purchased they rec

eived one free ticket. 3 tickets cost $53.25. the total purchase of tickets cost $1384.50. how MANY tickets did they receive?

1 answer:

lina2011 [118]3 years ago

6 0

The answer is 34 tickets. Hope this helps!

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Maureen measured a house and its lot and made a scale drawing. The scale she used was

PIT_PIT [208]

The most appropriate choice for unitary method will be given by-

Length of driveway in the drawing is 3 inch

What is unitary method?

Unitary method is the method in which value of a single unit can be calculated from the value of a multiple unit and value of a multiple unit can be calculated from the value of a single unit.

Sometimes value of single unit is less than value of multiple unit

For example - cost of food and quantity of food

Sometimes value of single unit is more than value of multiple unit

For example- Number of men and time taken by those men to do a work

Here,

Scale used by Maureen is 1 inch = 8ft

Actual length of house's driveway = 24 feet

8 ft of room is equal to 1 inch on scale

1 ft of room is equal to $\frac{1}{8}$ inch on scale

24 feet of room is equal to $\frac{1}{8} \times 24$ inch on scale

24 feet of room is equal to 3 inch on scale

Length of driveway in the drawing is 3 inch

To learn more about unitary method, refer to the link-

brainly.com/question/24587372

#SPJ9

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1 year ago

12. Simplify –3√ 2 + 3√ 8 . <br><br> A. 3√ 2 <br> B. –3√ 2 <br> C. 0<br> D. 9√ 2

scZoUnD [109]

Your answer would be, A. <span>3√ 2. Hope I helped you :)</span>

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3 years ago

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The rate of change of the number of squirrels S(t) that live on the Lehman College campus is directly proportional to 30 − S(t),

pishuonlain [190]

Answer:

S(3)=22

Step-by-step explanation:

The rate of change of the number of squirrels S(t) that live on the Lehman College campus is directly proportional to 30 − S(t).

$\dfrac{dS}{dt}=k(30-S(t))\\ \dfrac{dS}{dt}+kS(t)=30k\\$The integrating factor: e^{\int k dt}=e^{kt}\\$Multiply all through by the integrating factor\\ \dfrac{dS}{dt}e^{kt}+kS(t)e^{kt}=30ke^{kt}$

$(Se^{kt})'=30ke^{kt} dt\\$Integrate both sides\\ Se^{kt}=\dfrac{30ke^{kt}}{k}+C$ (C a constant of integration)\\Se^{kt}=30e^{kt}+C\\$Divide both sides by e^{kt}\\S(t)=30+Ce^{-kt}$

When t=0, S(t)=15

$15=30+Ce^{-k*0}\\C=15-30\\C=-15$

When t = 2, S(t)=20

$20=30-15e^{-2k}\\20-30=-15e^{-2k}\\-10=-15e^{-2k}\\e^{-2k}=\dfrac23\\$Take the natural log of both sides$\\-2k=\ln \dfrac23\\k=-\dfrac{\ln(2/3)}{2}$

Therefore:

$S(t)=30-15e^{\frac{\ln(2/3)}{2}t}\\$When t=3$\\S(t)=30-15e^{\frac{\ln(2/3)}{2} \times 3}\\S(3)=21.8 \approx 22$

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3 years ago

If k is the constant of proportionality, write the equation that shows z is directly proportional to the square root of x and in

liraira [26]

That equation is ...

$z = k\cdot \dfrac{\sqrt{x}}{y^{3}}$

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3 years ago

Please help and show work! you can show work if you want.

PtichkaEL [24]

The volume of a cylinder =
V= $\pi r ^{2} h$
V = 3.14 X $7^{2}$ X18
V = 2769.48
Or if you want exact number using 3.14159...
V = 2770.88 <span />

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3 years ago

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