Mathematics Middle School

ba
For Exercises 5-13, write the prime factorization of each number in
expanded form.
5. 36
6. 180
7. 525
8. 165
9. 293
10. 760
11. 216
12. 231
13. 312
2011
at 10
.-​

Answers

Answer 1

Answer:

See below.

Step-by-step explanation:

If the number is even you divide by 2 , if  it is odd you try by the next prime number 3, the 5 and so on, so:

5. 36:-

36/ 2 = 18

18/2 = 9

9 / 3 = 3

We finish on the prime number 3.

So the prime factors are ( the numbers in bold ) = 2*2*3*3.

I'll do the next 3 for you, so you'll be able to do the rest on your own:

6. 180

180/ 2 = 90, 90 / 2 = 45, 45 /3 = 15, 15/3 = 5.

So 180 = 2*2*3*3*5.

7. 525

525/ 3 = 175, 175 / 5 = 35,  35 / 5 = 7.

So 525 = 3*5*5*7.

8. 165

165 / 3 = 55,  55/5 = 11.

So 165 = 3*5*11.

Related Questions

Mason found out that his recent credit card application was denied. When Mason reviewed his credit report, he found two overdue accounts that he hadn’t opened himself. As a victim of identity theft, which consequence could Mason face?


A.

community service

B.

jail

C.

job loss

D.

lowered credit score

E.

repossession of his car

YES I KNOW WHY IS THIS IN MY ONLINE MATH CLASS

Answers

Answer:

lowered credit score

Step-by-step explanation:

lowered credit score

A victim of identity theft, which consequence could Mason's face is

lowered credit score.

We have given that,

Mason found out that his recent credit card application was denied. When Mason reviewed his credit report, he found two overdue accounts that he hadn’t opened himself.

We have to determine, As a victim of identity theft, which consequence could Mason face.

What is the credit score?

A credit score is a numerical expression based on a level analysis of a person's credit files, to represent the creditworthiness of an individual. A credit score is primarily based on a credit report, information typically sourced from credit bureaus.

A victim of identity theft, which consequence could Mason's face is

lowered credit score.

To learn more about the credit score visit:

https://brainly.com/question/13375913

#SPJ2


1. About how much would it cost to buy 18 MP3 players?
About how much would it cost to buy 18 CD/MP3 players?
Electronics Prices
DATA
CD player
$74.00
MP3 player $99.00
CD/MP3 player : $199.00
AM/FM radio : $29.00
In 2-15, estimate each product.

Answers

Answer:

the answer would be $3,582 dollars i hope u geta good grade and your welcome :3

Answer: The cost would be $1782 and $3582 respectively.

Step-by-step explanation:

Since we have given that

Number of MP3 players = 18

Number of CD/MP3 = 18

Cost of each MP3 = $99.00

Cost of each CD/MP3 = $199.00

So, the Cost of 18 MP3 would be

[tex]18\times 99\\\\=\$1782[/tex]

And, the cost of 18 CD/MP3 would be

[tex]199\times 18\\\\=\$3582[/tex]

Hence, the cost would be $1782 and $3582 respectively.

Nine times the sum of a number and 7 is 5

Answers

The answer to the question is 108
If you’re looking for the answer typed out, it would be 9(x+7) = 5

the square of a whole number is between 200 and 250. the number must be between

Answers

Step-by-step explanation:

square of 15 = 225

The Number must be between 14 and 16

Answer:

The number will lie between 14 and 16.

Step-by-step explanation:

If the square of a whole number is between 200 and 250 then the inequality formed will be

200 < x² < 250

where x is a whole number.

Now we will simplify this inequality.

[tex]\sqrt{200}<\sqrt{x^{2} } <\sqrt{250}[/tex]

14.14 < x < 15.81

By approximation, 14 < x < 16

Therefore, the number must lie between 14 and 16.

What is the actual difference between 87 and 36

Answers

Answer:

51

Step-by-step explanation: 87-36= 51

You subtract both of those to numbers and get 51.use a calculator

5. If we represent the length of a line by a,
how may we represent the length of a
line that is 3 inches longer? If the com-
bined length of the two lines is 15 inches,
what is the length of each line?

Answers

Answer:

Step-by-step explanation:Let a be the length of line

from question we know that

a+3 is another line

Here

a+(a+3)=15. ( Given in question )

2a = 15 -3

2a=12

a=12/2

a=6

Here a and a +3 are the length of the line

Finally ,6 and 9 are the lengths

identify the coordinates of four points on the line with each given slope and y-intercept. slope=-1 and that y-intercept=8

Answers

Answer:

[-1, 9], [-2, 10], [-3, 11], [1, 7]

Step-by-step explanation:

Starting from the y-intercept of [0, 8], I did rise\run by moving one block north over one block west for the first three coordinates, but retracing back to the y-intercept, I moved one block south over one block east for the last coordinate. It does not matter where you go, as long as you follow the pattern within this rate of change [slope].

I am joyous to assist you anytime.

i need help with a math problem right now it says A car rental agency advertised renting a car for $27.95 per day and $0.28 per mile. If David rents his car for 3 days, how many whole miles can he drive on a $200 budget​

Answers

Answer:

David would have to drive for 415 miles before he reaches his $200 budget.

Step-by-step explanation:

It cost $27.95 per day to rent a car and he is only renting it for 3 days. ($27.95 x 3 = $83.85 for all three days). When you subtract $83.85 from his $200 budget you get, $116.15. It is .28 cents for each mile. Next you divide $116.15 by .28 cents to equal 414.82 miles. Round the miles to a whole number to get 415 miles.

- Find two decimals that are equivalent to
(4 X 10) + (7 X 100). Write the decimals
in the box.​

Answers

Answer:

739.99 and 739.9

If you want the numbers then

39.99 and 699.99

Answer:

We have to find two decimals that are equivalent to

[tex](4\times10)+(7\times100)[/tex]

= [tex]40+700[/tex]

= 740

Now the two decimals that are equivalent to this can be many. Like -

[tex]40.0+700.0[/tex]

= 740.0

or [tex](0.4\times100)+(0.7\times1000)[/tex]

= 40+700

= 740

What is the product? negative 9 x (5 minus 2x)

Answers

Answer:

18x²-45x

Step-by-step explanation:

Final answer:

To find the product of negative 9 and (5 minus 2x), use the distributive property, resulting in -45 + 18x.

Explanation:

The product of negative 9 and (5 minus 2x) can be found by applying the distributive property. This property states that a number multiplied by a sum or difference in parentheses is equivalent to the number multiplied by each term inside the parentheses separately, and then summing the results. So, the product will be:

Negative 9 multiplied by 5, which gives -45.

Negative 9 multiplied by -2x (note the two negatives make a positive), which gives 18x.

Combining these two products, we get the final answer, which is -45 + 18x.

Please help me idk this’s

Answers

Answer:

1.30

Step-by-step explanation:

)) A triangle has angle measurements of 34°, 90°, and 56º. Is this triangle scalene?
>
yes
no

Answers

Answer:

All three sides of a scalene triangle have different lengths, they have different measurements also. So your answer would be true.

Step-by-step explanation:

4 people can dig a hole in 3 hours. How long does it take 9 people.

Answers

Answer:

9 people is 9/4 = 2.25 times more people than 4 people. So, they can do it faster. 3 hours/2.25 = 1.33 hours 1.33 hours x 60 minutes/hour = 80 minutes

Step-by-step explanation:

Answer: 1 hour 20 minutes

Step-by-step explanation:

Let's figure out how long it would take 1 person to dig the hole and then divide that number by 9 (since they are sharing the workload).

[tex]\dfrac{1}{4}x=3\qquad \implies \qquad x = 12\quad \text{It takes 12 hours for 1 person}\\\\\\\dfrac{12\ \text{(for 1 person)}}{9\ \text{(people)}}\quad =1\dfrac{1}{3}\quad =\large\boxed{1\ hour\ 20\ minutes}[/tex]

#4 If 6 +x= 13, then find the value
of 8x - 31.
A7
B) 17
C) 25
D) 73

Answers

C. 25
6+x=13
x=7
8(7)-31=25
C. 25
6+x= 13
X=7
8(7)-31=25

The mass of Earth’s Moon is about 7 X 10 to the 22 power kilograms. The Mass of Jupiter is about 1.89 x 10 to the 27 Power Kilograms. how many times the mass of Earth’s Moon?

Answers

Answer:

27,000 times.

Step-by-step explanation:

We have been given that the mass of Earth’s Moon is about [tex]7\times 10^{22}[/tex] kilograms. The Mass of Jupiter is about [tex]1.89\times 10^{27}[/tex] kilograms.  

To solve our given problem, we will divide mass of Jupiter by mass of Earth's moon.

[tex]\frac{1.89\times 10^{27}}{7\times 10^{22}}[/tex]

Using property [tex]\frac{a^m}{a^n}=a^{m-n}[/tex], we will get:

[tex]\frac{1.89}{7}\times 10^{27-22}[/tex]

[tex]0.27\times 10^{5}[/tex]

[tex]0.27\times 100000[/tex]

[tex]27,000[/tex]

Therefore, the mass of Jupiter is 27,000 times the mass of Earth’s Moon.

For each set of measurements, decide wether or not possible to draw a triangle with those measurements. If it is possible, draw the triangle.

HELP MEEE

Answers

Answer:

a.No b.No c.Yes d.No

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

A. [tex]2^{2} + 3^{2} = 4^{2}[/tex]

4 + 9 = 16

13 [tex]\neq 16[/tex]

So for A a triangle cannot be drawn.

B. [tex]2^{2} + 3^{2} = 6^{2}[/tex]

[tex]2^{2} + 3^{2} = 6^{2}[/tex]

4 + 9 = 36

13 [tex]\neq 36[/tex]

So for B a triangle cannot be drawn

A triangle is equal to 180 degrees

C. 90 + 45 + 45 = 180

D. 90 + 60 + 60 = 210

I need help with this problem

Answers

It seems like it would be B. You add the numbers with the variable together, d in this case and add them giving you 6d+6 or 6(d+6)

Which most likely could cause acceleration? Check all that apply.
a flat road
wind
water movement
a hill
a stop light

Answers

i think wind, water movment, and a hill not sure tho

determine the conversion factor needed for each conversion

cups into gallons
square meters into square centimeters​

Answers

i’m guessing but

divide by 16 for cups to gallons
multiply by 100 for sq meters to sq cm

2. The perimeter of a rectangular room is 60 feet. Let X be the width of the
room (in feet) and let y be the length of the room (in feet). Select all of
the equations below that could model this situation.

Answers

The equation to model the given situation is x+y=30.

Given that, the perimeter of a rectangular room=60 feet.

What is the formula to find the perimeter of the rectangle?

The formula to find the perimeter of the rectangle is 2(l+b).

Where, l=length and b=width.

Let x be the width of the room (in feet) and let y be the length of the room (in feet).

So, 60=2(x+y)

⇒x+y=30

Therefore, the equation to model the given situation is x+y=30.

To learn more about the perimeter of a rectangle visit:

https://brainly.com/question/15287805.

#SPJ6

find 3 fractions between 2/8 and 3/8

Answers

5/16 multiply the denominator by 2 and add 1 to the numerator

9/32 multiply the denominator by 4 and add 1 to the numerator

10/32 multiply the denominator by 4 and add 2 to the numerator

The three fractions between  [tex]\frac{2}{8}[/tex] and [tex]\frac{3}{8}[/tex] are [tex]\frac{7}{24},\frac{5}{16},\frac{1}{3}[/tex]

What is fraction?

"It is a number expressed as a quotient, in which a numerator is divided by a denominator."

How to find the fraction between two fractions?

"To obtain a fraction between two fractions:

Find the sum of the numerators and make it the new numerator.

Similarly, find the sum of denominators and make it the new denominator."

For given question,

We have been given two fractions [tex]\frac{2}{8}[/tex] and [tex]\frac{3}{8}[/tex]

A fraction between  [tex]\frac{2}{8}[/tex] and [tex]\frac{3}{8}[/tex] is,

[tex]=\frac{2+3}{8+8}\\\\ =\frac{5}{16}[/tex]

Now, we find the fraction between  [tex]\frac{2}{8}[/tex] and [tex]\frac{5}{16}[/tex]

[tex]=\frac{2+5}{8+16}\\\\ =\frac{7}{24}[/tex]

And the fraction between  [tex]\frac{5}{16}[/tex] and [tex]\frac{3}{8}[/tex] is,

[tex]=\frac{5+3}{8+16}\\\\ =\frac{8}{24}\\\\=\frac{1}{3}[/tex]

Therefore, the three fractions between  [tex]\frac{2}{8}[/tex] and [tex]\frac{3}{8}[/tex] are [tex]\frac{7}{24},\frac{5}{16},\frac{1}{3}[/tex]

Learn more about fractions here:

https://brainly.com/question/21010948

#SPJ2

Find 41% of 48. Round to the nearest tenth of necessary

Answers

Answer:

19.7

Step-by-step explanation:

1. Change the percent to a decimal

0.41 of 48

2.Multiply the two numbers together.

0.41 of 48 = 19.68

3. Round to nearest tenth

19.68 = 19.70 = 19.7

4 X 10⁴) + (6 x 10²)​

Answers

Answer:40,600

Step-by-step explanation:

10x10x10x10=10,000

10x10=100

4x10,000+6x100

40,000+600=

40,600

Answer: 40,600

Explanation:

4 X 10,000 + 6 X 100

40000 + 600

write in standard form 100 + 30​

Answers

Answer:

130

Step-by-step explanation:

What does 4 - (-19) equal?

Answers

You have two negatives together; this equals a positive.

So 4 + 19= 23

Answer:

23

Step-by-step explanation:

Whenever you subtract a negative number, you treat it as if you're adding a positive number.

For example:

-5-(-5) becomes -5+5, which is 0.

So, 4-(-19) becomes 4+19, which is 23.

You purchase three $0.89 candy bars and you hand the cashier a $5 bill. How much change should you get back?

Answers

Answer:

$2.33

Step-by-step explanation:

$0.89 × 3 = $2.67

$5 - $2.67 = $2.33

Answer:

$2.33

Step-by-step explanation:

$0.89 × 3 = $2.67

$5 - $2.67 = $2.33

Point G is the midpoint of RH. It is known that RG = 7x - 23 and RH = 6x + 90. Find the value of GH

Answers

Answer:

GH = 96

Step-by-step explanation:

Since G is at the midpoint of RH then RG = SH and

GH = 7x - 23

Thus

RG + GH = RH ← substitute values

7x - 23 + 7x - 23 = 6x + 90

14x - 46 = 6x + 90 ( subtract 6x from both sides )

8x - 46 = 90 ( add 46 to both sides )

8x = 136 ( divide both sides by 8 )

x = 17

Hence

GH = 7x - 23 = (7 × 17) - 23 = 119 - 23 = 96

Answer:

96

Step-by-step explanation:

Drawing a picture helps to think this problem through. 2(7x-23)=6x+90 by midpoint theorem. Solve this equation.

14x-46=6x+90

8x=136

x=17

Substitute x in the equation for RG. 7(17)-23.

7x17=119

119-23=96

the product of 12 and 3

Answers

Answer:

36

Step-by-step explanation:

12 x 3 = 36

12*3=36. So the answer is 36

What is 32 27/200 as a decimal

Answers

32 27\200 is 32.135.

If you need a better explanation just as in the comments.

Happy to help! Please mark as BRAINLIEST! Thanks

Final answer:

The mixed number 32 27/200 is equivalent to the decimal 32.135 after converting the fractional part to a decimal by division.

Explanation:

The number that you're asking about is a mixed number, meaning it has a whole part (32) and a fractional part (27/200). To convert this into a decimal, you will have to convert the fractional part into decimal form. The fraction 27/200 can be converted to a decimal by dividing 27 by 200. The result of this division is 0.135. Now, to form the decimal equivalent of the mixed number, you combine the whole number part with the decimal. Therefore, 32 27/200 as a decimal is 32.135.

Learn more about Decimal Conversion here:

https://brainly.com/question/34390573

#SPJ2

Select the figure with no line symmetry and a rotational symmetry angle of 180 degrees.
A.
B.
C.
D.

Answers

In the given figures figure C has no line of symmetry. Hence, option C is correct.

The line of symmetry is an imaginary line that divides an object into two equal and identical halves.

It is a reflectional symmetry, meaning that each point on one side of the line corresponds to an identical point on the other side.

This line can be vertical, horizontal, or even diagonal, depending on the shape or object being considered.

The line of symmetry is an important concept in geometry and can be found in various symmetrical objects like letters, shapes, and even faces.

If we rotate Figure C with respect to any axis we don't get an identical shape.

Therefore,

Figure C has no line of symmetry.

To learn more about line of symmetry visit:

https://brainly.com/question/30963765

#SPJ3

Other Questions
What is a group of words called that contains either a subject or a verb, but not both?phrase clause dependent clause independent clause What cause the Salem witch trials of 1692 Why would a patient need to be in prone position? The initial volume reading in a graduated cylinder is 30 mL. The mass of an irregular shape of an unknown metal piece is 55.3 g. The final volume reading in the graduated cylinder is 37 mL. The density of this unknown metal is _____. Comparisons of amino acid sequences can shed light on the evolutionary divergence of related species. If you were comparing two living species, would you expect all proteins to show the same degree of divergence? Why or why not? Justify your answer. The Theatre of ______________ was a major theatre in ancient Greece, built at the foot of the Athenian Acropolis. Write 2,930,365 in expanded notation Gibbs Corporation owned 20,000 shares of Oliver Corporation's $5 par value common stock. These shares were purchased in 2009 for $240,000. On September 15, 2013, Gibbs declared a property dividend of one share of Oliver for every ten shares of Gibbs held by a stockholder. On that date, when the market price of Oliver was $21 per share, there were 180,000 shares of Gibbs outstanding. What NET reduction in retained earnings would result from this property dividend? a. $162,000 b. $378,000 c. $108,000 d. $216,000 What figure of speech is the line "My stomach was a melon split wide inside my skin"?similepersonificationmetaphorallusion Why havent more regulations been put in place for agriculture in terms of water pollution? in the bee movie what did normal mean in the hive The value of the mathematical constant e can be expressed as an infinite series: e=1+1/1!+1/2!+1/3!+... Write a program that approximates e by computing the value of 1+1/1!+1/2!+1/3!+...+1/n! where n is an integer entered by the user. Jakob loves to run because he feels so fantastic afterward. In fact, whenever he wants a runner's highthat feeling of elation after a lengthy runhe has learned to go for eight laps around the high school track. Jakob keeps this habit up for years because he likes the outcome he gets each time. What does this demonstrate?a. Jakob has good stamina and endurance.b. Jakob is operantly conditioned.c. Jakob opens himself up to punishment.d. none of the above I dont get this question, please help. An elephant and a mouse would both have zero weight in gravity-free space. If they were moving toward you with the same speed, would they bump into you with the same effect? Explain. Question 8 (5 points)Consider the sequence of events below. In Farewell Address, which took place first?a) Washington contemplates how his presidency will be rememberedb) Washington explains the importance of national unityc) Washington declines to run for re-electiond) Washington discusses his views on virtue in politics A researcher is conducting a written survey about people's attitudes toward walking as an exercise option at the local shopping mall that supports a walking program. The survey is anonymous (without codes, names, or other information) and subjects may complete the survey and place it in a box at the shopping mall exits. Which of the following is the most important issue that the researcher addressed in planning the research?A. Possibility of emotional distress from answering the questions themselvesB. Recruitment of subjects to ensure varied characteristics of the sample sizeC. Confidentiality of the individual subjects responsesd. D. Data analysis from a large sample size write an equation in point-slope form of the line using points D(0,5),E(5,8) A person is jumping off a bridge onto the top of a car that is passing underneath. Suppose that the top of the bridge is h=10 meters above the car and the car is moving at a constant speed of V=30 mi/h The person wants to land in the middle of the car. How far from the bridge should the car be when the person jumps. Express the equation in variables then numerically Wayne is hanging a string of lights 58 feet long around the three sides of his patio, which is adjacent to his house. The length of his patio, the side along the house, is 6 feet longer than twice its width. Find the length and width of the patio.