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3 years ago

10

Thirty students are at soccer practice. Each group of three students needs a soccer ball and two field cones . How many balls an

d cones are needed in all? balls ___. cones ____.

1 answer:

3241004551 [841]3 years ago

4 0

Answer:

10 soccer balls

20 cones

Step-by-step explanation:

30/3=10 groups

10*2=20

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A used car dealer has 30 cars and 10 of them are lemons (i.e.~ mechanically faulty used cars), and you don't know which is which

Triss [41]

Answer: Hence, the probability that he will get at least one lemon is 0.70.

Step-by-step explanation:

Since we have given that

Number of cars = 30

Number of lemon cars = 10

Number of other than lemon cars = 30-10 = 20

According to question, he bought 3 cars,

we need to find the probability that you will get at least one lemon.

So, P(X≤1)=1-P(X=0)=1-P(no lemon)

Here, P(no lemon ) is given by

$\dfrac{20}{30}\times \dfrac{20}{30}\times \dfrac{20}{30}=(\dfrac{20}{30})^3$

so, it becomes,

$P(X\geq 1)=1-(\dfrac{20}{30})^3=1-(0.67)^3=0.70$

Hence, the probability that he will get at least one lemon is 0.70.

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Step-by-step explanation:

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The sum of two numbers is 27. The larger number is 6 more than twice the smaller number. What are the numbers?

yawa3891 [41]

Answer:

Let the smaller number be x

Then the sum is

(6 + 2x) + x = 27

We now find for x

2x + x + 6 = 27

3x + 6 = 27

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3x = 21

x = 21/3

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3 years ago

Read 2 more answers

Mark is creating a tarp to cover his new vegetable garden outside. He needs enough nylon to cover the garden which is 10 feet by

Cerrena [4.2K]

Answer:

$91.67.

Step-by-step explanation:

We have been given that Mark is creating a tarp to cover his new vegetable garden outside. He needs enough nylon to cover the garden which is 10 feet by 8 feet and then he will attach rope along the edges of the nylon to stake it down with.

A. Let us find area covered by nylon by multiplying 10 by 8.

$\text{ Amount of Nylon needed to cover the garden}=10\text{ feet}*8\text{ feet}$

$\text{ Amount of Nylon needed to cover the garden}=80\text{ feet}^{2}$

Now let us convert area of needed nylon from square feet into square yard by multiplying 80 by 0.111111.

$\text{ Amount of Nylon needed to cover the garden}=80*0.111111\text{ yards}^{2}$

$\text{ Amount of Nylon needed to cover the garden}=8.88889\text{ yards}^{2}$

Now let us multiply 8.88889 by 5.25 to find the cost of nylon cover of the garden.

$\text{ Cost of Nylon cover of the garden}=8.88889*5.25$

$\text{ Cost of Nylon cover of the garden}=46.6666725\approx 46.67$

Therefore, the cost of nylon cover will be $46.67.

B. Now let us find length of rope by finding the perimeter of the garden.

$\text{Length of rope}=2(10+8)\text{ feet}$

$\text{Length of rope}=2(18)\text{ feet}$

$\text{Length of rope}=36\text{ feet}$

Now let us find the cost of 36 feet long rope by multiplying 36 by 1.25.

$\text{Cost of rope}=36*1.25$

$\text{Cost of rope}=45$

Therefore, the cost of rope will be $45.

To find the total cost to make the cover we will add cost of nylon cover and cost of rope.

$\text{Total cost to make the cover}=45+46.67$

$\text{Total cost to make the cover}=91.67$

Therefore, it will cost $91.67 for Mark to make the cover for vegetable garden.

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3 years ago