A store sells three varieties of cheese cheddar, Gouda, and Swiss. Each variety of cheese is available in two different styles shredded or sliced. How many possible outcomes for the variety and style of cheese are there?

Let's start with the smallest prime number 2

60/2 = 30

Divide that result over 2

30/2 = 15

We can't divide this by 2 because 15/2 = 7.5 isn't a whole number

Let's move onto 3

15/3 = 5

The result is a prime number, so we stop.

The values we divided as denominators were: {2, 2, 3}

We add the result 5 to the set to completely list all of the prime factors of 60

The prime factorization would be

which is the same as saying

Answer:

false because it could be 6

Step-by-step explanation:

Answer:

( p - 4 ) ( p - 12 ) = 0

Step-by-step explanation:

To factor this equation, let's apply the quadratic formula.

p^2 - 16p + 48 = 0

Let a = 1, b = -16, c = 48

[-b +/- sqrt(b^2 - 4(a)(c))] / 2 (a)

[- (-16) +/- sqrt( (-16)^2 - 4(1)(48)) ] / 2 (1)

= [ 16 +/- sqrt( 256 - 192) ] / 2

= [ 16 +/- sqrt(64) ] / 2

= [16 +/- 8] / 2

p = (16 + 8) / 2 ; p = (16 - 8) / 2

p = 24 / 2  ; p = 8 / 2

p = 12  ;  p = 4

Hence, this equation factors into the following:

( p - 4 ) ( p - 12 ) = 0

Cheers.

Answer:

work shown and pictured

Answer:

150 children

Step-by-step explanation:

Ratio of adults to children= 8:5

Let the number of adults be 8 units and

the number of children be 5 units.

Total number of people

= 8 +5

= 13 units

Since there are 390 people,

13 units ----- 390 people

1 unit ----- 390 ÷13= 30 people

Number of children= 5 units

5 units ----- 30 ×5= 150 people

Thus, there are 150 children.

Answer:

-12

Step-by-step explanation:

Since we want to find g(9), we will use the function g(x):

[tex]g(x)=-2x+6[/tex]

Substitute:

[tex]g(9)=-2(9)+6[/tex]

Multiply:

[tex]g(9)=-18+6[/tex]

Add:

[tex]g(9)=-12[/tex]

So, our answer is -12 :)

Answer:

-3

4

Step-by-step explanation:

We do across times down

5*-1 + -2 *-1 = -5+2 = -3

-6 *-1 + 2 * -1 = 6 -2 = 4

The product of any two numbers is the result of multiplying them

You can use pencil and paper to get the job done, or use a calculator.

A shortcut is to simply move the decimal over 1 spot to the right.

This is because multiplying 0.017 and 10 is the same as 0.017*10^1, where the exponent of positive 1 means "move decimal point 1 spot to the right". This only works if you multiply by powers of 10.

Answer:

43.822

Step-by-step explanation:

67.5

- 23.678

43.822

Answer:

8x^2+5y+1

Step-by-step explanation:

1+x^2-3+2y+7x^2+3+3y

Combine like terms

x^2+7x^2+2y+3y+3+1-3

8x^2+5y+1

Answer:

8x^2 + 5y + 1

Step-by-step explanation:

1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y

group like terms

= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 5y + 1 - 3 + 3

= 8x^2 + 5y + 1

Answer:

Question 2 because the point up is -6 and to the right is 2

Step-by-step explanation:

Hello there! :D

Today we're gonna learn some math, whoopie!

Alright, so we want to know how many 2/3 cups can go into 9 cups!

Firstly, I want to turn 9 cups into a fraction with the denominator of 3.

Let me do it all fancy for you:

[tex]9=\frac{x}{3}[/tex]

We know we want the denominator to be three, now we just need to do the opposite action (multiplication) to the other side to find what "x" is!

[tex]9*3= \frac{x}{3}*3[/tex]

If you have trouble understanding that step, let me know!

[tex]x=27[/tex]

Enter that into the fraction and we have:

[tex]\frac{27}{3}[/tex]

Notice that 27 is not an even number!

Now, we can the numerator of 27/3s and divide it by the numerator of 2/3s.

[tex]27/2=13.5[/tex]

This is not a whole answer, but the question is asking how many 2/3 cups can go into nine cups. Half of a 2/3 cup does not equal a 2/3 cup, so the answer would be 13 cups.

I hope this helps you can you have a wonderful day,

Kai xx

The number of 2/3 cups that can go into 9 cups is [tex]13\frac{1}{2}[/tex]

Total number of cups = 9

The number of 2/3 cups we can get from 9 cups = x

To get the number of 2/3 cups in 9 cups, we will divide 9 by 2/3

Number of 2/3 cups in 9 cups = 9 ÷ 2/3

Number of cups in 9 cups = 9  x  3/2

x   =  27/2

x  =  13.5

The number of 2/3 cups that can go into 9 cups is [tex]13\frac{1}{2}[/tex]

Learn more here: https://brainly.com/question/17332735

Answer:(x+3)2 4+4=( x+3)2=4

Step-by-step explanation:

Answer: 933.12 inches

Step-by-step explanation:

Givem that Marta has 1 cubic yard of sand to build a wall in the shape of a rectangular prisim that is 10 inches tall and 5 inches wide to the nearest foor 

1 cubic yard = 46656 cubic inches

Volume = Length × width × height

Substitute all the parameters

46656 = 10 × 5 × height

46656 = 50 height

Height = 46656 / 50

Height = 933.12 inches

Answer:

another word for evaluate is solve

Answer:

Evaluate --> find a numerical expression or equivalent for (an equation, formula, or function).

Also evaluate means checking ( for a teacher )

Answer:

A) the addition property of equality and then the division property of equality

Step-by-step explanation:

I just did it hope this helps! :)

The addition property of equality and then the division property of equality is the sequence which describes the inverse operations used

for steps 2 and 3 to solve the linear equation

Two or more expressions with an Equal sign is called as Equation.

The given Linear equation is -1/2 (6x + 10) = 13

Minus one by two times of six x plus ten equal to thirteen

Step 1: –3x – 5 = 13

By addition property we add +5 on both the sides

Step 2: –3x = 18

By division property we divide both sides by -3

Step 3: x = –6

Hence, the addition property of equality and then the division property of equality is the sequence which describes the inverse operations used

for steps 2 and 3 to solve the linear equation

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

[tex]f(g(1))=11[/tex]

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=2x+7\text{ and } g(x)=-3x+5[/tex]

And we want to find f(g(1)).

So, let's find g(1) first:

[tex]g(x)=-3x+5[/tex]

Substitute 1 for x:

[tex]g(1)=-3(1)+5[/tex]

Simplify:

[tex]g(1)=-3+5[/tex]

Add:

[tex]g(1)=2[/tex]

So:

[tex]f(g(1))=f(2)[/tex]

Now, substitute 2 for x in f(x):

[tex]f(x)=2x+7\\f(2)=2(2)+7[/tex]

Multiply:

[tex]f(2)=4+7[/tex]

Add:

[tex]f(2)=11[/tex]

So:

[tex]f(g(1))=11[/tex]

Answer:

it is arithmetic

Step-by-step explanation:

moves up by 7

Answer: 0.5

Step-by-step explanation:

Add 3/16 to both sides to isolate the variable on one side. Then the equation should be x=8/16 which is 0.5.

Answer:

3.98 cm, 602.18 cm²

Step-by-step explanation:

Given:

To find:

Solution:

Complete Question: In the diagram below, <DAB and <DAC are adjacent angles. If m<DAC = 25°, what is m<DAB in degrees? What is m<BAC in degrees?

Answer:

m<DAB = 80°

m<BAC = 105°

Step-by-step explanation:

Generate an equation that will help you find the value of x.

Since m<DAC = 25°, therefore, x - 20 = 25°

Use this equation to find x

x - 20 = 25

Add 20 to both sides of the equation

x - 20 + 20 = 25 + 20

x = 45

m<DAB = 2x - 10

Plug in the value of x

m<DAB = 2(45) - 10 = 90 - 10 = 80°

m<BAC = m<DAC + m<DAB

m<BAC = 25 + 80 = 105°

Answer:

Volume of cone = 40 in³

Step-by-step explanation:

Given:

Volume of cylinder = 120 in³

Height of cylinder = Height of cone

Radius of cylinder = Radius of cone

Find:

Volume of cone

Computation:

Volume of cylinder = πr²h = 120 in³

Volume of cone = (1/3)πr²h

So,

Volume of cone = (1/3)(120)

Volume of cone = 40 in³

Answer:

29 ml

Step-by-step explanation:

Vcube = 1cm×1cm×1cm = 1 cm³

1 cm³ = 1 ml

If this cube is dropped into a 28ml of water the new reading will be 29 ml.

hope this helped :)

Answer:

-2b+8c-7a-14

Step-by-step explanation:

You first combine like terms to simplify.

[tex]\boxed{21}[/tex]

When you multiply a negative and a negative, it is going to be a positive number. In this case, we're multiplying -3 and -7, which is equal to 21. If you're not sure of the answer for multiplication problems like this, just use a calculator to check your work.

Hi there! Hopefully this helps!

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When you multiply two negatives (-, -,), you are gonna get a positive(+)

[Like making a cross out of two lines].

[tex]-3(-7) = +3(+7)[/tex]

Answer:

  8 87/100 = 887/100

Step-by-step explanation:

"Eight and eighty-seven hundredths" is ...

  8 87/100 = 887/100

Answer:

Step-by-step explanation:

Convert to a fraction by placing the decimal number over a power of  

10

.

887

100

Answer:

The linear function with the smallest slope must be multiple of one of the other two linear functions if all functions are coplanar. Otherwise, they intersect at the given point in space.

Step-by-step explanation:

A system of two linear functions with two variables have an unique solution on a given plane, as there are three linear function, it means that linear function with the smallest slope must be multiple of one of the other two linear functions.

But, if those functions are not all coplanar and have 3 variables, they intersect at the given point.

Answer:

y≥1/2 x +1

Step-by-step explanation:

first the line in the graph is bold and not dotted

so the sign is either ≤ or≥

the shaded area is on the top , on this case it is greater than

the right answer is y≥1/2 x +1