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Shtirlitz [24]
3 years ago
5

A company that offers tubing trips down a river rents tubes for a person to use and "cooler" tubes to carry food and water. A gr

oup spends $270 to rent a total of 15 tubes. Write a system of linear equations that represents this situation. Use $x$ to represent the number of one-person tubes rented and $y$ to represent the number of cooler tubes rented. How many of each type of tube does the group rent?
Mathematics
1 answer:
slega [8]3 years ago
6 0

Answer:

the group rents is 11 person tubes and there is 4 cooler tubes

Step-by-step explanation:

The computation is shown below:

The equation are as follows:

x + y = 15

y = 15 - x

And, the cost of person tube is $20

The cost of the cooler tube is $12.50

The total spending is $270

Now the equation is

20x + 12.50y = 270

Now put the value of y in the above equation

20x + 12.50(15 - x) = 270

20x + 187.50 - 12.50x = 270

20x - 12.50x + 187.50 = 270

7.50x + 187.50 = 270

7.50x = 270 - 187.50

7.50x = 82.50

x= 11

Now put the value of y in any of the equation

y = 15  - 11

= 4

So, the group rents is 11 person tubes and there is 4 cooler tubes

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Malik randomly picked two numbers from 1 to 9 (including 1 and 9). the same number could be picked more than once. the first of
shtirl [24]

The probability that the sum of the two numbers Malik picks is less than 5, given that the first number is odd and less than 5 is 0.0494.

<h3>What is a probability?</h3>

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening.

Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

Probability of an event P(E) = Number of favourable outcomes/Total number of outcomes.

Calculation for the given condition;

Either 1 or 3 must be present if a given integer is odd and smaller than 5.

The likelihood that it was picked from a set of nine numbers is (2/9).

The probability that the first integer is 1 is 50/50.

If it is and their combined number is less to 5, the second number will either be 1, 2, or 3.

The likelihood that it was picked out of the nine numbers is (3/9).

Additionally, there is a 50/50 probability that the first digit will be 3.

A second number is 1 if it is and the sum would be less than 5.

It was selected with a 1 in 9 chance of being one of the other 8 numbers.

The total probability is;

= (2/9)  times  [ (0.5 x 3/9)  +  (0.5 x 1/9) ]

= (2/9)  times  [ (1.5/9)  +  (0.5/9) ]

= (2/9)  times  [ 2/9 ]  =  4/81

= 0.0494

Therefore,  the probability that the sum of the two numbers malik picks is less than 5 is 0.0494.

To know more about probability, here

brainly.com/question/251701

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5 0
2 years ago
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Answer:

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Step-by-step explanation:

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Patty wants a triangle garden in her backyard for all of her vegetables. She
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Answer:

Step-by-step explanation:

the hypothenuse is the largest side in the right triangle

we have 2 side, 7,8

in a right triangle, c^2= a^2+b^2

where c is the hypothenuse

c^2=49+64=113

c=sqrt113=aprox 10.6

so, the answer is no if it has to be exactly 10 ft the hypotenuse

5 0
3 years ago
I'm confused on how to go about solving this, I got to this part:
SCORPION-xisa [38]

Answer:

  • (3, -4, 6)

Step-by-step explanation:

The last equation has 2 variables

If we double the first equation and subtract the second one from it, we get rid of y and then comparing the new equation with the last one we can easily solve it

<u>Step 1</u>

  • 2(2x + y + 3z) = 2*20
  • 4x + 2y + 6z = 40

<u>Step 2</u>

  • 4x - x + 2y - 2y + 6z - (-z) = 40 - (-11)
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<u>Step 3</u>

  • 3x + 7z - (3x - 2z) = 51 - (-3)
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<u>Then finding x</u>

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<u>The answer:</u>

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3 years ago
Sheila is running in a race that is 5 kilometers long . After 10 minutes , she has run 1.875 kilometers . How much father does s
navik [9.2K]

Answer: 3.125\ kilometers

Step-by-step explanation:

In order to solve this exercise you need to analize the information provided.

Notice that , according to the exercise, Sheila has to run a total of 5 kilometers to finish the race.

You know that the distance Sheila has run in 10 minutes is 1.875 kilometers.

Then, knowing the above, you need to subtract the total lenght of the race (5 kilometers) and the distance she has already run (1.875 kilometers) in order to calculate how much farther Sheila has to run to finish the race.

Therefore, you get the following result:

5\ kilometeres-1.875\ kilometers=3.125\ kilometers

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