Álgebra 2 domain and range

What is best definition of combining like terms

Bond [772]

They are terms that contain the same variables raised to the same power. Only the numerical coefficients are different. In an expression, only like terms can be combined. We combine like terms to shorten and simplify algebraic expressions, so we can work with them more easily.

8 0

3 years ago

Andy is building a model of a square pyramid for a class project. The side length of the square base is 11 inches and the slant

zvonat [6]

Answer:

The answer is 792.

Step-by-step explanation:

I got the answer by first imagining how the 3d shape looks ike. Since one of the sqaure base length is 11 I found the base surface area by doing 11 times 11.My answer was 132. The since one of the slant length of the pyramid's triangle is 15, I did 11 times 15, my answer was 165. There are four triangles in the pyramid so I did 165 times 4, my answer was 660.

All the triangle surface area is 660 plus the sqaure surface are which is 132, that gave me my answer 792.

4 0

4 years ago

What is the probability of choosing a 12-person jury with 7 or 8 women? In other words, calculate P(7 or 8 women).

Yanka [14]

Answer:

1/6 chance

Step-by-step explanation:

There are 12 possible outcomes, so 12 goes in the denominator.

There are 12 vacant spots in the jury, and the outcomes are only favorable if 7 or 8 of them are taken by women.

To find a probability, it is favorable outcomes/total outcomes. In this case, it is a 2/12 probability because there are two favorable outcomes, 7 and 8, and 12 total outcomes. Simplify 2/12 into 1/6, and that's your answer.

4 0

3 years ago

A group of 100 students took a quiz. Their average score was 76 points. If the average score for the boys was 80 points and the

sveta [45]

Answer:

The number of girls participated in quiz is 40 .

Step-by-step explanation:

Given as :

Total number of students took quiz = 100

Average score of 100 students = 76 points

The Average score of boys = 80 points

The Average score of girls = 70 points

Let The number of boys participated in quiz = b

Let The number of girls participate in quiz = g

Now, According to question'

Total number of students took quiz = number of boys participated in quiz + number of girls participated in quiz

Or, b + g = 100 ........A

Again

∵ Average score of 100 students = 76 points

∴ Total score of 100 students = 76 × 100 = 7600

So, Average score of boys × number of boys participated + Average score of girls × number of girls participated = Total score of 100 students

Or, b × 80 + g × 70 = 7600

Or, 80 b + 70 g = 7600 .........B

Now, Solving equation A and B

(80 b + 70 g ) - 70 ×( b + g ) = 7600 - 70 × 100

I.e (80 b - 70 b) + (70 g - 70 g) = 7600 - 7000

Or, 10 b + 0 = 600

∴ b = $\dfrac{600}{10}$

i.e b = 60

So, The number of boys participated in quiz = b = 60

Put the value of b into eq A

∵ b + g = 100

So, g = 100 - b

Or, g = 100 - 60

i.e g = 40

So, The number of girls participated in quiz = g = 40

Hence, The number of girls participated in quiz is 40 . Answer

6 0

3 years ago

The measure of an angle is seventeen times the measure of its complementary angle. What is the measure of each angle?

Mama L [17]

Answer:

5, 85

Step-by-step explanation:

Complementary angles add to 90 degrees

Let x = 1st angle

17x is the 2nd angle

x+17x = 90

18x = 90

Divide each side by 18

18x/18 = 90/18

x = 5

The first angle is 5

second angle is 18*5= 85

8 0

3 years ago

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