Two beach rental companies compared their sales from last weekend. Both companies rent out jet skis and kayaks, and they charge the same prices. Will's Watersports made a total of $780 from renting 12 jet skis and 9 kayaks. Family Fun Rentals made a total of $570 from renting 7 jet skis and 11 kayaks. What is the cost of each type of rental?

Answers

Answer 1

Answer:

Answer:

Therefore Jet Skis cost $50 for the rental and Kayaks cost $20.

Step-by-step explanation:

Since they both rent the vehicles at the same price, "x" for jet skis and "y" for kayaks", we can create equations for each store and a system of equations for these, as shown below:

Watersports:

12*x + 9*y = 780

Fun Rentals:

7*x + 11*y = 570

System:

$\left \{ {{12*x + 9*y=780} \atop {7*x + 11*y=570}} \right.$

We can isolate "x" on the first equation:

$x = (780 - 9*y)/(12)$

And use it on the second:

$7*[(780 - 9*y)/(12)] + 11*y = 570\n5460 -63*y = 6840 - 132*y\n132*y - 63*y = 6840 - 5460\n69*y = 1380\ny = 20\n$

We can now use this value to find "x":

$x = (780 - 9*20)/(12) = 50$

Therefore Jet Skis cost $50 for the rental and Kayaks cost $20.

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your weight on the moon is about 1/6 of your weight on earth write and solve an equation to show how much a person weighs on earth if he weighs 16 pounds on the moon.how could you check that your answer is reasonable

Answers

16 * 6 = x.

If one sixth of your weight is 16, multiply it by 6.

16 x 6 = 96.

Final answer:

To find a person's weight on earth when you know their weight on the moon, multiply the moon weight by 6 (since weight on the moon is 1/6 of weight on earth). Therefore, if a person weighs 16 pounds on the moon, they would weigh 96 pounds on earth.

Explanation:

The question asks how much a person weighs on earth if he weighs 16 pounds on the moon. The fact that a person weighs about 1/6 on the moon than on earth would indicate that weight on earth is larger. In this case, you can find the earth weight by multiplying the moon weight to 6 (since it is 1/6). So, using this formula, if a person weighs 16 pounds on the moon, he would weigh 16 * 6 = 96 pounds on earth.

To check if this is reasonable, if you have the earth weight, you can divide by 6 to see if you return to the original moon weight. In this case, 96 / 6 = 16, which is the given moon weight, so the answer seems reasonable.

Learn more about Weight Conversion here:

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Identify the 17th term of a geometric sequence where a1 = 16 and a5 = 150.06. Round the common ratio and 17th term to the nearest hundredth.

Answers

The geometric sequence formula is expressed as an = a1 * r^(n-1) where n is an integer. In this case, upon substitution, 150.06 = 16 * r^(4). extracting r, r is equal to 1.75. Hence the 17th term from the formula is equal to 123802.32.

Answer:

a17 ≈ 123,802.31

Step-by-step explanation:

Round 7.467 to the nearest hundredth

Answers

7.467 rounded to nearest hundredth would be 7.47

------------------------------------------(corrected)

Express the complex number in trigonometric form.

-4i

Answers

Answer:

-4i = 4(cos 270 +i sin 270)

Step-by-step explanation:

We have a+ib = r(cosθ+isinθ)

$r=√(a^2+b^2)\texttt{ and }tan\theta =(b)/(a)$

Here a = 0 and b = -4

Substituting

$r=√(0^2+(-4)^2)\n\nr=4\n\ntan\theta =(-4)/(0)\n\n\theta =270^0\texttt{(Since a is zero and b is negative)}$

-4i = 4(cos 270 +i sin 270)

Please helpppppppppppp

Answers

Answer:

Step-by-step explanation:

3*6=18*2=36

6*10=60*2=120

10*3=30*2=60

36+60+120=

216

Answer: 216 m

Step-by-step explanation:

2(10 x 6) = 120

2(6 x 3) = 36

2(10 x 3) = 60

120 + 36 + 60 = 216

According to the Rational Roots Theorem, which statement about f(x) = 25x^7 – x^6 – 5x^4 + x – 49 is true?Any rational root of f(x) is a multiple of –49 divided by a multiple of 25.

Any rational root of f(x) is a multiple of 25 divided by a multiple of –49.

Any rational root of f(x) is a factor of –49 divided by a factor of 25.

Any rational root of f(x) is a factor of 25 divided by a factor of –49.

Answers

Answer:

Any rational root of f(x) is a factor of -49 divided by a factor of 25.

Step-by-step explanation:

The Rational Root Theorems states that :

If the polynomial $P(x)= a _nx^n +{a_(n-1)x}^(n-1)+............{a_(2)x}^(2)+{a_(1)x}^(1)+a_0$ has any rational roots, then they must be in the form of

$\pm (factors of a_0)/(factors of a_n)$

Consider the polynomial

$f(x)=25x^7-x^6-5x^4+x-49$

in this case, we have $a_0=-49$ and $a_n=25$

Any Rational root of f(x) is a factor of $a_0=-49$ divided by a factor of $a_n=25$

According to the Rational Roots Theorem, the statement about f(x) = 25x^7 – x^6 – 5x^4 + x – 49 which is true is:

Any rational root of f(x) is a factor of –49 divided by a factor of 25.

The key points are "factors", and "ratio between the constant term and the coefficient of the highest order (exponent) term"

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