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3 years ago

7

Find the length of the hypotenuse in the triangle with a right side of 5 and a left side of 6. Which choice BEST describes the s

olution? A) integer B) whole number C) natural number D) irrational number

1 answer:

Helga [31]3 years ago

6 0

Answer:

D irrational number

Step-by-step explanation:

because you do the Pythagorean theorem and you get 7.81024976 and that is a irrational number

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Each year the seventh graders who study life science participate in a special field trip to the city zoo in 2010 the school paid

juin [17]

Answer:

Yes, the price the school pays each year in entrance fees is proportional to the number of students entering the zoo

Step-by-step explanation:

Relationships between two variables is proportional if their ratios are equivalent.

In 2010, the school paid $1,260 for 84 students to enter the zoo.

Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = $1260:84=15:1$

In 2011, the school paid $1,050 for 70 students to enter the zoo.

Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = $1050:70=15:1$

In 2012, the school paid $1,395 for 93 students to enter the zoo.

Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = $1,395:93=15:1$

As $1260:84=1260:84=1,395:93=15:1$ ,

the price the school pays each year in entrance fees is proportional to the number of students entering the zoo.

3 0

2 years ago

2) The table shows a set of points on a line. What is the y-intercept of the<br> line?

siniylev [52]

Answer:

Put this table into Desmos and then wherever the line crosses the y-axis, is your y-intercept.

3 0

2 years ago

If p+q has the value that is exactly 1/3 less than p what is the value of q

solmaris [256]

Answer:

q = - $\frac{1}{3}$ p

Step-by-step explanation:

$\frac{1}{3}$ less than p = $\frac{2}{3}$ p

Thus

p + q = $\frac{2}{3}$ p ( multiply through by 3 to clear the fraction )

3p + 3q = 2p ( subtract 3p from both sides )

3q = - p ( divide both sides by 3 )

q = - $\frac{1}{3}$ p

8 0

3 years ago

Given a sample space, and events A and B, where P(A)= 0.5 and P(B)=0.5. Which of the following values for P(A and B) are not pos

user100 [1]

Option a, option b, option c, option d are not possible values for P(A ∩ B)

Solution:

Given A and B are independent events.

P(A) = 0.5 and P(B) = 0.5

To find which of the following values for P(A and B) are not possible.

P(A and B) = P(A ∩ B)

P(A ∩ B) = P(A) × P(B)

= 0.5 × 0.5

P(A ∩ B) = 0.25

Option a: All are possible.

All answers are not possible for two independent events.

Option b: 0.35

We found that P(A and B) is 0.25.

So, 0.35 is not possible value.

Option c: 0.5

We found that P(A and B) is 0.25.

So, 0.5 is not possible value.

Option d: 0

We found that P(A and B) is 0.25.

So, 0 is not possible value.

Option e: 0.25

We found that P(A and B) is 0.25.

So, 0.25 is the possible value.

Hence, 0.35, 0.5, 0 are not possible values.

4 0

3 years ago

A 40% antifreeze solution is to be mixed with a 70% antifreeze

Alenkasestr [34]

Answer: 160 liters of the

40% solution and 80 liters of the 70% solution will be used.

Step-by-step explanation:

Let x represent the number of liters of 40% antifreeze solution that should be used.

Let y represent the number of liters of 70% antifreeze solution that should be used.

The volume of the mixture to be mixed is 240 liters. It means that

x + y = 240

The 40% antifreeze solution is to be mixed with a 70% antifreeze

solution to get 240 liters of a 50% solution. This means that

0.4x + 0.7y = 0.5(240)

0.4x + 0.7y = 120 - - - - - - - - - - - -1

Substituting x = 240 - y into equation 1, it becomes

0.4(240 - y) + 0.7y = 120

96 - 0.4y + 0.7y = 120

- 0.4y + 0.7y = 120 - 96

0.3y = 24

y = 24/0.3

y = 80

x = 240 - y = 240 - 80

x = 160

7 0

3 years ago