Write 28 as a product of primes.
Use index notation when giving your answer.

Answers

Answer 1

Answer:

28 = 2 × 2 × 2 × 7

Step-by-step explanation:

2 |28

2 |14

2 |7

7 |1

Answer 2

Answer:

2² × 7

Step-by-step explanation:

Had The same Question on Hegarty Maths


Related Questions

can you tell me if y=x4 a function

Answers

Answer:

Step-by-step explanation:

this is a function because any x value you plug in will have only one unique y value

Answer:

y=4x is a function

Step-by-step explanation:

Paul’s grandmother gave him a collection of 30 coins. Each month Paul adds 5 coins to his collection. Which inequality can be used to find m, the number of months after starting his collection when Paul will have more than 60 coins in his collection?

A. 30 + 5 = 60

B. 30 + 5x > 60

C. 60 + x > 30

Answers

Answer:

B

Step-by-step explanation:

He starts out with 30 He adds 5 coins each monthx represents the number of months

>60 means greater than 60

So the inequality would be 30 + 5x > 60

⦁ A local pizzeria sold 75 pizzas yesterday.
⦁ The owner offers the employees a bonus if the number of pizzas sold increases by 20% today.
⦁ How many pizzas must the pizzeria sell for employees to receive the bonus? Explain your reasoning. Show your work!
⦁ Suppose the actual number of pizzas sold today was 66. Describe the number of pizzas sold as a percent increase or decrease.

Answers

Answer:

a. 90 pizzas

b. 12% decrease

Step-by-step explanation:

To receive a bonus, there must be 20% increase in the number of pizzas

Thus;

20% of 75 = 20/100 * 75 = 1500/100 = 15

So the number of pizza to be sold to receive the bonus will be 15 + 75 = 90

So now, we have 66 pizza sold today;

We can see that there was a decrease from 75

Percentage decrease will be;

(new value - old value)old value * 100%

= (66-75)/75 * 100%

= -9/75 * 100%

= -0.12 * 100% = -12%

This shows a 12% decrease

Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or movie. Adrian will earn $40 every time one of his songs is played in a commercial and $130 every time one of his songs is played in a movie. Adrian earned a total of $1010 in royalties on 14 commercials commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Adrian's songs were played. Define the variables that you used to write the system.

Answers

Answer:

commercial =  9

movie = 5

Step-by-step explanation:

Step one:

let the number of commercials be x and movies be y

so

40x+130y=1010-------------1

since there are a total of 14 commercials and movies combined

x+y=14--------------2

Hence the systems of equation is

40x+130y=1010------1

x+y=14-------------------2

Step two:

from equation 2

x=14-y

substui]te the value of x in  equation 1

40(14-y)+130y=1010

560-40y+130y=1010

collect like terms

130y-40y=1010-560

90y=450

divide both sides by 90

y=450/90

y=5

movies is 90

put y=5 in equation 2

x+5=14

x=14-5

x= 9

commercial is 9 in numbers

and movie is 5

Answer:

40c+130m=1010

c+m=14

Step-by-step explanation:

Let c=the number of commercials

Let m=the number of movies

system of equations:

40c+130m=1010

c+m=14

please try and solve it

Answers

This answer would be y=5

What is the slope of the line that passes through the points (-8,-3)and(-12,-3) write your answer in the simplest form

Answers

Answer:

[tex]m=0[/tex]

Step-by-step explanation:

Given the points

(-8,-3)and(-12,-3)

The slope between the points  (-8,-3) and (-12,-3) can be determined

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-8,\:-3\right),\:\left(x_2,\:y_2\right)=\left(-12,\:-3\right)[/tex]

[tex]m=\frac{-3-\left(-3\right)}{-12-\left(-8\right)}[/tex]

[tex]m=0[/tex]


Please answer as soon as possible!

Answers

Answer:

lol is this a test? are u cheating!!!!???

Step-by-step explanation:

When Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75. When Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120. Find the hourly rate of pay for Ben and Judy.

Answers

Answer:

$15

Step-by-step explanation:

let the hourly rate of pay for Ben  = B

let the hourly rate of pay for Judy  = J

Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75;

              4J + B = 75 ----- i

Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120

               2J + 6B  = 120 --- ii

Now, we should solve the expression;

   Multiply equation ii by 2 and equation i by 1;

 

            4J + B = 75 ----- i    x 1  ;    4J + B  = 75          -- iii

            2J + 6B  = 120 --- ii  x 2 ;   4J + 12B  = 240    ---iv

Now,

 equation iv - iii;

                   11B  = 165

                      B  = $15

So, solving for J;

          4J + B = 75

         4J + 15  = 75

          4J  = 75 - 15  = 60

          J  = $15

what is the answer to this question. PLEASE HELP

Answers

Answer:

Im going to guess a i have no idea tho

Step-by-step explanation:

Help me?! Solve for x

Answers

Answer:

x = 12

Step-by-step explanation:

The consecutive angles in a parallelogram are supplementary, thus

7x - 12 + 108 = 180, that is

7x + 96 = 180 ( subtract 96 from both sides )

7x = 84 ( divide both sides by 7 )

x = 12

Brainliest for whoever gets it right!
Of the 34 cars in a parking lot, 12 are blue, 8 are red, 4 are white, and 10 are silver. In simplest form, what are the odds in favor that the next car that leaves the lot will be red or white?

A. ) 6:11
B. ) 6:17
C. ) 17:6
D. ) 11:6

Answers

Answer:

B (6:17)

Step-by-step explanation:

The values of red and white are 8 and 4, so you add them. The ratio should then be 12:34 because 34 is the total of all values. When simplified, 12:34=6:17

Answer:

im thinking c add them all together and you get that 17:6 if u kow how to add :^

Step-by-step explanation:

0.6(x + 2) = 0.55(2x + 3)

Answers

Answer:

-0.9

Step-by-step explanation:

0.6(x+2)=0.55(2x+3)

Use the distributive property to multiply 0.6 by x+2.

0.6x+1.2=0.55(2x+3)

Use the distributive property to multiply 0.55 by 2x+3.

0.6x+1.2=1.1x+1.65

Subtract 1.1x from both sides.

0.6x+1.2−1.1x=1.65

Combine 0.6x and −1.1x to get −0.5x.

−0.5x+1.2=1.65

Subtract 1.2 from both sides.

−0.5x=1.65−1.2

Subtract 1.2 from 1.65 to get 0.45.

−0.5x=0.45

Divide both sides by −0.5.

x= 0.45/−0.5

x= -0.9

xoxo,your highness...

Given g(x) = -4x-2, find g(-2)

Answers

Answer:

g(-2) = 6

General Formula and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

g(x) = -4x - 2

g(-2) is x = -2

Step 2: Evaluate

Substitute:                    g(-2) = -4(-2) - 2Multiply:                        g(-2) = 8 - 2Subtract:                       g(-2) = 6

Find the value of 64(-2/3)

Answers

The answer as a decimal is -42.6

Evaluate the expression 7(x + 3) - x , when x =2 .


I’m pretty sure literally nobody understands this and nor do I

Answers

Answer:

33

Step-by-step explanation:

This is very simple.First we have to subsite the value 2 into 7(x + 3) - x.Like this:

7(2 + 3) - 2

Then we have to simplify.Like this:

7(5) - 2

35 - 2

33

Hope it helped!

Answer:

The answer is 33.

Step-by-step explanation:

(:

Find the value of the expression: 3x0 for x=2.6

Answers

Answer:

0

Step-by-step explanation:

3x2.6x0=0

How many solutions does the linear equation have?

x + 3 + 2x = 4 + 3x - 1.

1. infinite
2. none
3. one

Answers

Answer:

infinite solutions

Step-by-step explanation:

Given

x + 3 + 2x = 4 + 3x - 1 ( simplify both sides )

3x + 3 = 3x + 3

Since the equation is the same on both sides.

This indications the equation has an infinite number of solutions

please answer for me appreciate it

Answers

Finding slope?
5. Slope is 5/3
6. Slope is 7/3
7. Slope is -3
8. Slope is 7/3

Just do rise/run

HLEP PLEASE ANSWER IM SERIOUS NO JOKE STOP THE TROLLING I NEED HLEP

Answers

THERES NO PICTURE SHOWING UP UH OH

you got find out if the 800 is in ml or a diffent one

what is 20+.25g=22
need step by step explanation

Answers

Answer:

g = 8

Step-by-step explanation:

first move 20 to the right side of the equation by subtracting it. so the equation becomes 0.25g= 22-20 --> 0.25 = 2 and then divide 2 by 0.25 and g will equal 8. you can also plug in 8 for g to check your answer.

Answer:

g = 8

Step-by-step explanation:

First we want to simplify the sides so we will subtract 20 fror each side

.25g =2

then we need to divide each side by .25 to get g isolated or by itself to find the answer

g = 8

If you plug it back into the equation it will be true

20 + (.25 * 8) = 22


Which angle is supplementary to the
Please helppp

Answers

Answer:

[tex]\angle FCB[/tex]

Step-by-step explanation:

Supplementary angles are angles that sum to [tex]180^{\circ}[/tex]. In this case, [tex]\angle FCB[/tex] is supplementary to [tex]\angle DCF[/tex] since they add up to the angle of a straight line which is [tex]180^{\circ}[/tex].

Hope this helps :)

Please help, I don’t understand this problem

Answers

Y=x+700 is the correct answer. There is a y intercept of 700 and a slope of 1.

Please help ASAP I will give brainliest

Answers

Answer:

the answer is -3

have a nice day

Need help on my math only have today till I turn int tomorrow

Answers

Hope this helps explain what was needed to be solved! :)

Chris found a jacket regularly priced at $90, on sale for 20% off. If there is an 8% sales tax, how much did Chris pay?

(GIVING BRAINLY)

Answers

Answer:

$77.76

Step-by-step explanation:

90 x .2 = 18 (20% off)

90 - 18 = 72 (sale price)

72 x .08 = 5.76 (tax price)

72 + 5.76 = 77.76 (total)

If the angle opposite of the height of a right angle triangle is 15 degrees and the base is 215 cm how much is the height of the triangle.

Answers

Answer:

86.1

Step-by-step explanation:

because if it it trigonometry u do the inverse operation of tan

so its tan-1 (215/15)

=86.0090869

if u want to round to 3sf its 86.1

hope it helped

lf a, 3, b, 12, c are in G.P then find the value of a, b and c. plz help me AsAp!!!​

Answers

Answer:

hope this helps...

Step-by-step explanation:

If this helped you please comment me...

Answer:

sorry for bad picture hope it helps you have a great day keep smiling be happy stay safe

Camila and Evelyn work at a dry cleaners ironing shirts.Camila can iron 40 shirts per hour, and Evelyn can iron 20 shirts per hour.How many total shirts would be ironed between the two workers

Answers

60 shirts can be ironed per hour with two workers

Answer: 60 shirts.

Step-by-step explanation: Camila: 40/hr Evelyn: 20/hr

20 + 40 = 60

Rachel earned $54.79 last week. Morgan earned $50.23. About how much more did Rachel earn​

Answers

Answer:

105.2

Step-by-step explanation:

54+50=104

.79+.23=1.02

104+1.02=105.2

Hope this helps.

Answer:$4.56

Step-by-step explanation:Take $54.79 and subtract it by $50.23, to see the difference in how much more money Rachel earned.

Describe the set of all complex numbers that are at a distance of 2 units from the origin.

Answers

Answer:

The description of the set is [tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex].

Step-by-step explanation:

From Complex Analysis, we remember that complex numbers are numbers whose form is:

[tex]s = a+i\, b[/tex], [tex]a,b \in \mathbb{R}[/tex] (1)

Where [tex]i = \sqrt{-1}[/tex].

In addition, the distance from the origin is defined by the following Pythagorean identity:

[tex]\|s\| = \sqrt{a^{2}+b^{2}}[/tex] (2)

The following condition must be satisfied:

[tex]\|s\| = 2[/tex]

Then, the set of all complex numbers that are at a distance of 2 units from the origin is described below:

[tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex] (3)

The set of all complex numbers that are at a distance of 2 units from the origin is [tex]\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]

A complex number, written in rectangular form is

[tex]z=a+ib\\a,b\in \mathbb{R}[/tex]

The distance of a complex number from the origin (the modulus of the complex number, denoted by [tex]|z|[/tex]) is given by the formula

[tex]|z|=\sqrt{a^2+b^2}[/tex]

Since we want all the complex numbers to be at the distance of 2 units from the origin, they must satisfy

[tex]|z|=2[/tex]

thus, the set we are looking for is

[tex]D=\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]

where [tex]\mathbb{C}[/tex] is the set of all complex numbers

Learn more about complex numbers here: https://brainly.com/question/12274048

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