First to answer get's brainly.

1) Choosing 3 of 5 toppings for pizza (you CAN have extra of something you like)

Aleonysh [2.5K]

1) Choosing 3 of 5 toppings for pizza (you CAN have extra of something you like)

meaning u can have the same toppings as ur 3 choices

so for each of the 3 choices, there are 5 options

total possible outcome = 5 x 5 x 5 = 125

2) Choosing 3 of 5 toppings for pizza ( you canNOT order "doubles")

meaning each choice can be selected just once

so after the first choice, there is only 4 options left; after 2nd, just 3

total possible outcome = 5 x 4 x 3 = 60

7 0

3 years ago

Solve for x: 5(x-2)+7=65-4(5x-8) SHOW STEPS PLZZZZZZ HELP

miskamm [114]

5(x-2)+7=65-4(5x-8)

We move all terms to the left:

5(x-2)+7-(65-4(5x-8))=0

We multiply parentheses

5x-(65-4(5x-8))-10+7=0

We calculate terms in parentheses: -(65-4(5x-8)), so:

65-4(5x-8)

determiningTheFunctionDomain

-4(5x-8)+65

We multiply parentheses

-20x+32+65

We add all the numbers together, and all the variables

-20x+97

Back to the equation:

-(-20x+97)

We add all the numbers together, and all the variables

5x-(-20x+97)-3=0

We get rid of parentheses

5x+20x-97-3=0

We add all the numbers together, and all the variables

25x-100=0

We move all terms containing x to the left, all other terms to the right

25x=100

x=100/25

x=4

6 0

3 years ago

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For the years between 2003 and 2010, the equation yˆ=937.98x+12,764.90 models the average cost of tuition of four-year colleges,

VMariaS [17]

Answer:

The best estimate for the average tuition cost in the year 2005 is $7,455

Step-by-step explanation:

In this question, we shall be using the predicted equation to predict the value of tuition in the year 2005.

The equation is y = 937.98x + 12,764.90

since x is the number of years after 2000 and we are looking at the average tuition cost in year 2005, thus, our x will be 2005-2000 = 5 years

Substituting this into the equation, we have;

y= 937.98(5) + 12,764.90

y = 7,454.8 which is 7,455 to the nearest dollars

4 0

3 years ago

The system of equations is coincident. What are the missing values?

telo118 [61]

Coincident lines are lines that are the same.

In the beginning of both equations we have '4x' and '8x'.

Note that 8 / 4 = 2.

Multiply the rest of the numbers in the first equation by 2.

5y * 2 = 10y

8 * 2 = 16

So our 2nd line will be:

8x + 10y = 16

7 0

4 years ago

Which expression has a value 48?

blondinia [14]

Answer:

Option D

Step-by-step explanation:

To find out which expression has a value of 48, we need to recall the PEMDAS (where: P = Parenthesis, E = Exponents, M/D = Multiplication or Division, A/S = Addition or Subtraction).

A) [4 + 5] × 3² - 9 ÷ 3²

First, simplify the expression in the parenthesis as PEMDAS

⇒ [9] × 3² - 9 ÷ 3²

Pull the "9" out of the parenthesis

⇒ 9 × 3² - 9 ÷ 3²

Simplify the exponents as PEMDAS

⇒ 9 × 9 - 9 ÷ 9

Multiply the first two terms in the expression as PEMDAS

⇒ 81 - 9 ÷ 9

Divide the last two terms as PEMDAS

⇒ 81 - 1

Finally, simplify the expression.

⇒ 80

⇒ 48 ≠ 80

B) 4 + 5 × (3² - 9) ÷ 3²

First, simplify the expression in the parenthesis as PEMDAS.

We can see here that the expression in the parenthesis includes a constant with a negative sign and an exponent. To simplify the expression, we need to simplify the exponent. Once the exponent is simplified, we can simplify the expression in the parenthesis.

⇒ 4 + 5 × (3² - 9) ÷ 3²

⇒ 4 + 5 × (9 - 9) ÷ 3²

⇒ 4 + 5 × (0) ÷ 3²

Pull the "0" out of the parenthesis

⇒ 4 + 5 × 0 ÷ 3²

Simplify the exponent as PEMDAS

⇒ 4 + 5 × 0 ÷ 9

Multiply the middle two terms as PEMDAS

⇒ 4 + 0 ÷ 9

Divide the last two terms as PEMDAS

⇒ 4 + 0

Add the two terms in the expression as PEMDAS

⇒ 4

⇒ 4 ≠ 48

C) 4 + 5 × 3²(-9 ÷ 3²)

First, simplify the expression in the parenthesis as PEMDAS

⇒ 4 + 5 × 3²(-9 ÷ 3²)

⇒ 4 + 5 × 3²(-9 ÷ 9)

⇒ 4 + 5 × 3²(-1)

*3²(-1) can also be written as 3² × -1*

⇒ 4 + 5 × 3² × -1

Simplify the exponent as PEMDAS

⇒ 4 + 5 × 9 × -1

Multiply the last three terms as PEMDAS

⇒ 4 + 5 × 9 × -1

⇒ 4 + (-45)

Add/Subtract the last two terms as PEMDAS

⇒ 4 - 45

⇒ -41

D) 4 + 5 × 3² - 9 ÷ 3²

Since there are no parenthesis in the expression, we can start simplifying this expression by simplifying the exponents.

⇒ 4 + 5 × 3² - 9 ÷ 3²

⇒ 4 + 5 × 9 - 9 ÷ 9

Multiply the second and the third terms as PEMDAS

⇒ 4 + 45 - 9 ÷ 9

Divide the last two terms as PEMDAS

⇒ 4 + 45 - 1

Add/Subtract the terms as PEMDAS

⇒ 4 + 44

⇒ 48

⇒ 48 = 48 ✔✔

In conclusion, we can say that option D is correct because the expression of Option D has a value of 48.

3 0

2 years ago

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