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PolarNik [594]
3 years ago
13

jet ski rental costs 40$ plus an additional 13$ per hour. The Kunze family rents 3 jet skis for the afternoon. Write and simplif

y an algebraic expression using the Distributive property to represent the total cost for the family to rent the jet skis for x hours.​(Need help asap)
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
8 0

Answer:

Step-by-step explanation:

Y = 3(12x+ 40)

Y is the cost

3 is the number of family members

12 is the per hour rate

40 is the initial charge for each jetski

Y = 36x +120 simplified

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Step-by-step explanation:

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Leokris [45]

Answer:

Step-by-step explanation:

Jen: (1+2/3)x4 to find average (multiply by 4 to get 1 hour)

Jen's ave. is 3+2/3 mph

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3 years ago
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Need help with this question
Leto [7]
I'm pretty sure it's 3,000,000, "Basically, if the power is positive, you move the decimal point in the integer that many places to the right ex: 

3.14 x 10 ^ 3 would be 3140. 

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4 0
4 years ago
The endpoints of WX are W(2,-7) and X(5,-4). What is the length of WX?
ss7ja [257]

Answer:

<h2>WX = 3√2 units </h2>

Step-by-step explanation:

Using the formula for calculating the distance between two points to calculate the length of WX.

D = √(y₂-y₁)²+(x₂-x₁)²

Given the endpoints W(2,-7) and X(5,-4), x₁ = 2, y₁ = -7, x₂ = 5 and y₂ = -4

Substituting this values into the formula to get the length of WX will give;

WX = √(-4-(-7))²+(5-2)²

WX = √(-4+7)²+3²

WX = √3²+3²

WX = √18

WX = √2*9

WX = 3√2 units

Hence the length of WX is 3√2 units.

6 0
3 years ago
Which of the following is the solution to the differential equation dP/dt+P=10 with the initial condition P(0)=4
Ber [7]

Answer:

  •    Option C.    P=10-6e^{-t}

Explanation:

<u>1. Separate variables:</u>

      \dfrac{dP}{dt}+P=10\\ \\ \\ \\\dfrac{dP}{dt}=-P+10\\ \\ \\ \dfrac{dP}{-P+10}=dt

<u></u>

<u>2. Find the indefinite integrals</u>

    -\ln{(10-P)}=t+C

<u></u>

<u>3. Solve for P</u>

      10-P=e^{-t+C}\\ \\ 10-P=Ke^{-t}\\ \\ P=10-Ke^{-t}

<u></u>

<u>4. Use the initial condition, P(0) = 4, to find K:</u>

  • 4 = 10 - K(e⁰)
  • 4 = 10 - K
  • K = 10 - 4
  • K = 6

<u></u>

<u>5. Substitute K = 6 into the integrated equation:</u>

       P=10-6e^{-t}

That is the option C.

4 0
3 years ago
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