Write each number as a product of primes 1. 120 2. 160

Answers

Answer 1

Answer:

120=2*2*2*3*5

160=2*2*2*2*2*5

Step-by-step explanation:

Answer 2

Answer:

Below in bold.

Step-by-step explanation:

1.   120 = 12  * 10

= 2*2*3*2*5

= 2*2*2*3*5

2.  160 = 10 * 16

= 2*5*2*2*2*2

= 2*2*2*2*2*5


Related Questions

Jay's father is twice as old as jay. In 20 years Jay will be two-thirds as old as his father. How old is each now?

Answers

Well take this for an example

Answer:

the answer is 2

Step-by-step explanation:

HELP PLZ AND.... HIIIII!

Answers

Answer:

0.002 meters per second

Answer: 0.0002 meters per second

Four hundred seven million eighty two thousand in numbers

Answers

Answer:

407082000

Step-by-step explanation:

hope it helps

Pls mark as brainiest...........

Answer:

407,820,000.

Step-by-step explanation:

This is how four hundred seven million eighty two thousand is written a numerical value.

Joan has $5,000 in her savings account.
She takes out $200 per week. In how
many weeks will it take Joan to deplete
her savings account?

Answers

Answer:

Step-by-step explanation:

25

5,000 divided by 200

5. A turtle dives towards deeper water at a rate of 8 inches per second. It continues for a total of 16 seconds.
Which expression represents this situation?
A 16(-8)
B. -16(-8)
C. 16 / 8 ( / means division)
D. 16 / (-8) ( / means division)

Answers

Answer: B

Step-by-step explanation:

To find out how far the turtle went in 16 seconds you have to multiply 16 and -8

Answer:

I have the same question on test and answer is B

Step-by-step explanation:

20+52x81/5 is the algebra question

Answers

Answer:

The first person said it before I did :( Well, good luck with your studies! Hope you have a great day!

From: iOE

Which equation is equivalent to x+5=12

Answers

Answer:

x=7

Step-by-step explanation:

PLS HELP ASAP OR I WILL FAIL How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of 2 7/10 mph

Answers

Hey! Not to good at explaining this, but the correct answer is 3/5 hours, or 36 minutes.

Answer:

3/5

Step-by-step explanation:

just did it and my school said i got it right

A polygon is shown on the graph: A polygon is shown on a coordinate plane. The vertices are A at negative 6 comma 5, B at negative 6 comma 2, C at negative 2 comma 2, and D at negative 2 comma 6. If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates. Help please

Answers

Answer:

A) (-1’,1‘)

B) (-1’,-2’)

C) (3’,-2’)

D) (3’,2’)

Step-by-step explanation:

A) (-1’,1‘)

B) (-1’,-2’)

C) (3’,-2’)

D) (3’,2’)

An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he measured the amount of natural gas used y (in cubic feet) to heat the home and outside temperature x (in degree-days, where a day's degree-days are the number of degrees its average temperature falls below 65° F) over a 23-month period. He then computed the least-squares regression line for predicting y from x and found it to be ŷ = 84 + 18x. How much, on average, does gas used increase for each additional degree-day?

Answers

Answer:

18

Step-by-step explanation:

In the linear regression equation y=a+bx, slope coefficient b represents average unit increases in y variable due to unit increase in x variable.

In the given equation ŷ = 84 + 18x, b=18 represents average unit increases in gas used due to unit increase in degree day.

Hence,on average,  gas used increase by 18 for each additional degree-day.

Sarah plans to sell decorative signs at an upcoming craft market. If it costs her $3.50 to make each sign, and she paid a one-time fee of $185 to rent a booth at the market. If Sarah sells each sign for $15.75, how many signs will she need to sell for her expenses to be no more than her earnings?

Answers

Answer:

I need that answer too

Step-by-step explanation:

Identify which line from the graph the following right triangles could lie on.

Answers

Answer:

Step-by-step explanation:

Slope of line A = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

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

                         = 3

Slope of line B = [tex]\frac{9}{6}[/tex]

                         = [tex]\frac{3}{2}[/tex]

Slope of line C = [tex]\frac{6}{8}[/tex]

                         = [tex]\frac{3}{4}[/tex]

5). Slope of the hypotenuse of the right triangle = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                                                                = [tex]\frac{90}{120}[/tex]

                                                                                = [tex]\frac{3}{4}[/tex]

Since slopes of line C and the hypotenuse are same, right triangle may lie on line C.

6). Slope of the hypotenuse = [tex]\frac{30}{10}[/tex]

                                              = 3

Therefore, this triangle may lie on the line A.

7). Slope of hypotenuse = [tex]\frac{18}{24}[/tex]

                                        = [tex]\frac{3}{4}[/tex]

Given triangle may lie on the line C.

8). Slope of hypotenuse = [tex]\frac{21}{14}[/tex]

                                        = [tex]\frac{3}{2}[/tex]

Given triangle may lie on the line B.

9). Slope of hypotenuse = [tex]\frac{36}{24}[/tex]

                                        = [tex]\frac{3}{2}[/tex]

Given triangle may lie on the line B.

10). Slope of hypotenuse = [tex]\frac{48}{16}[/tex]

                                          = 3

Given triangle may lie on the line A.

Jack bought 5.94 pounds of beef for dinner. What is the first step in rounding this number to the nearest​ tenth? What is the next​ step? What is 5.94 rounded to the nearest​ tenth? The first step in rounding to the nearest tenth is to look at the digit to the right of the tenths place. What is the next​ step?

Answers

Answer:

A

Step-by-step explanation:

Answer:

5.94 rounded up to the neares tenth is 10

Step-by-step explanation:

logic also I don't think there is a next step

What does ¼ x (5.6) equal to

Answers

Answer:

The answer is 1.4 because you have to simplify it. Hope this helps :)

Step-by-step explanation:

An airplane flies at an altitude of 14,690 ft while a submarine is submerged at a depth of 521 feet below the surface of the ocean.. What is the difference between these two elevations? Write an algebraic expression for the given applied problem. Simplified the algebraic expression. In the context of the applied problem, explain what your simplified algebraic expression represents.

Answers

Answer:

[tex]d_{T} = d_{A}-d_{S}[/tex]. The algebraic equation represents the distance of the airplane with respecto to the submarine. The distance between the two elevations is 15211 feet.

Step-by-step explanation:

Let be [tex]d[/tex] the distance between a vehicle and sea level, [tex]d > 0[/tex] when vehicle is above sea level, otherwise is below sea level. The difference between airplane and submarine ([tex]d_{T}[/tex]), measured in feet, is obtained by the following expression, that is:

[tex]d_{T} = d_{A}-d_{S}[/tex]

Where:

[tex]d_{A}[/tex] - Distance of airplane with respect to sea level, measured in meters.

[tex]d_{S}[/tex] - Distance of submarine with respect to sea level, measured in meters.

If we know that [tex]d_{A} = 14690\,ft[/tex] and [tex]d_{S} = -521\,ft[/tex], then:

[tex]d_{T} = 14690\,ft - (-521\,ft)[/tex]

[tex]d_{T} = 15211\,ft.[/tex]

The algebraic equation represents the distance of the airplane with respecto to the submarine. The distance between the two elevations is 15211 feet.

The algebraic equation represents the distance of the airplane with respect to the submarine is,

[tex]\rm The \ difference \ between \ both \ elevation = x_a- x_s[/tex]

And the distance between the two elevations is 15,211 feet.

Given that,

An airplane flies at an altitude of 14,690 ft,

While a submarine is submerged at a depth of 521 feet below the surface of the ocean.

We have to determine,

What is the difference between these two elevations?

According to the question,

Let, x be the distance between a vehicle and sea level when the vehicle is above sea level, otherwise is below sea level.

The difference between an airplane [tex]\rm x_a[/tex] and [tex]\rm x_s[/tex] a submarine, measured in feet, is obtained by the following expression, that is:

[tex]\rm The \ difference \ between \ both \ elevation = x_a- x_s[/tex]

Where [tex]\rm x_a[/tex] represents the distance of airplane with respect to sea levels.

And [tex]\rm x_s[/tex] represent the distance of the submarine with respect to sea levels.

Submerged at a depth of 521 feet below the surface of the ocean,

[tex]\rm x_s = -521 \ feet[/tex]

Therefore,

The difference between an airplane [tex]\rm x_a[/tex] and [tex]\rm x_s[/tex] a submarine is,

[tex]\rm The \ difference \ between \ both \ elevation = x_a- x_s\\\\ The \ difference \ between \ both \ elevation = 14,690-(-521)\\\\\rm The \ difference \ between \ both \ elevation = 15,211 \ feet[/tex]

Hence, The difference between these two elevations is 15,211 feet.

For more details refer to the link given below.

https://brainly.com/question/9351049

Enter an algebraic expression to model the given context. Give your answer in simplest form.

The price s of a pair of shoes plus 6% sales tax.

The algebraic expression is

Answers

(s)+(s×0.06)=t

t is the total

s is the shoes

please help help help help

Answers

Answer:

2(5+4(8+1)) - 4²

=82 + 16

=66

graph y = -1/4x + 6​

Answers

Answer: SEE BELOW

If you need further explanation about how to graph, please let me know.

Hope this helps!! :)

this is the answerisjsjdndjdn

Tutoring Services: Suppose that 40% of community college students never use tutoring services available at their college. Suppose we randomly select samples of community college students. For each sample we calculate the proportion who do not use tutoring. If we randomly sample 500 students at a time, what will be the mean and standard error of the sampling distribution of sample proportions

Answers

Answer: The mean and standard error of the sampling distribution of sample proportions are 0.40 and 0.0219 respectively.

Step-by-step explanation:

Formula : Mean  of the sampling distribution of sample proportions

[tex]\mu_p= p[/tex]

Standard error of the sampling distribution of sample proportions

[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}[/tex]

, where p = population proportion

n= sample size

Here, p =0040

n= 500

So , Mean  of the sampling distribution of sample proportions

[tex]\mu_p= 0.40[/tex]

Standard error of the sampling distribution of sample proportions

[tex]\sigma_p=\sqrt{\dfrac{0.40(1-0.40)}{500}}\\\\=\sqrt{\sdfrac{0.40\times0.60}{500}}\\\\=\sqrt{\dfrac{0.24}{500}}\\\\=\sqrt{0.00048}\\\\\approx0.0219[/tex]

Hence, mean and standard error of the sampling distribution of sample proportions are 0.40 and 0.0219 respectively.

witch of the following equations could be used to solve the problem? x2+2=36 2x+2=36 2x=36 2x+1=36

Answers

Answer:

There is no problem stated, but here is the x's for every equations provided:

Step-by-step explanation:

a.) x²+2=36

x²=34

x=√34

b.) 2x + 2 =36

2x= 34

x= 17

c.)2x=36

x= 18

d.) 2x+1=36

2x=35

x=35/2

Juan ran the lemonade stand for 3 more days

Answers

Answer:

We need more information to be able to answer your question.

The set of values that makes an equation true is called

Answers

Answer:

Step-by-step explanation:

A solution is any value of a variable that makes the specified equation true. A solution set is the set of all variables that makes the equation true. The solution set of 2y + 6 = 14 is {4}, because 2(4) + 6 = 14.

Answer:

Solution

Step-by-step explanation:

To make the equation true, you need to have proof that it is correct. Therefore, a solution.

which polynomial represents the company’s total output?

Answers

Answer:

C. 2b^3 + b^2 - 2b - 380

Step-by-step explanation:

Factory A: 2b^3 - 3b^2 + b - 120

Factory B: 4b^2 - 3b - 260

Add the polynomials:

2b^3 - 3b^2 + b - 120 + 4b^2 - 3b - 260 =

Be careful to combine like terms.

= 2b^3 - 3b^2 + 4b^2 + b - 3b - 120 - 260

= 2b^3 + b^2 - 2b - 380

Answer: C. 2b^3 + b^2 - 2b - 380

A piece of land is shaped like a right triangle. Two people start at the right angle at the same time, and walk at the same speed along different legs of the triangle while spraying the land. If the area covered is changing at
5 m2/s, how fast are the people moving when they are 5 m from the right angle? (Round approximations to two decimal places.)

Answers

Answer:

1 m/s

Step-by-step explanation:

the area of the triangle = A = ¹/₂ab

where a is the distance covered by the first person and b is the distance covered by the second person. since they walk at the same speed, then a = b, so our formula can be changed to A = ¹/₂x²

now we find the derivative of both sides:

dA/dt = ¹/₂ ⋅ dx²/dt

dA/dt = ¹/₂ ⋅ 2x ⋅ dx/dt

dA/dt = x ⋅ dx/dt = x ⋅ velocity

we are told that x = 5 m, and dA/dt = 5 m²/s

velocity = dA/dt / x

velocity = 5 m²/s / 5 m = 1 m/s

3,394 divided by 42

Answers

Answer:

80.80

Step-by-step explanation:

3394/42 simplified would be 1697/21

as a mixed form it would be 80 and 17/21

As a decimal, 80.809...

Hope this helps :)

There are 266 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 31 fans? Division and rounding required of whole numbers.

Answers

Exact answer: 8.5

Rounded Answer: 9

Evaluate the following expressions.
1. |2x + 7| + |1 - 2x^2| - 4x, given x = 3

Answers

Answer:

It should be -8 please let me know if I am right

Step-by-step explanation:

(2*3+7)+(1-2*3^2)-4*3

(6+7)+(-3^2)-12

13+-9-12

=-8

2 - 6k = 5 - 3k - 12 k =

Answers

Answer:

k = 3

Step-by-step explanation:

2 - 6k = 5 - 3k -12

Add like terms at RHS

2 - 6k = -3k - 7

Add 6k to both sides

2 - 6k + 6k = -3k - 7 + 6k

2 = 3k - 7

Add 7 to both sides

2 +7 = 3k

9 = 3k

Divide both sides by 3

9/3 = 3k/3

3 = k

k  = 3

Is the study experimental or observational? A sample of fish is taken from a lake and each fish is weighed to measure the effect of pollution from a nearby factory on the fish. This group is then compared to another group taken from a lake in the same county in a state park where no businesses or houses are near the lake.

Answers

Answer:

For me I think it is observational

Step-by-step explanation:

Observation is the action or process of closing observing or monitoring something or someone while

Experimenting is to perform a scientific procedure, especially in a laboratory to determine something

So from the two definition I think the answer is observation

Solve the problem.
A pendulum swinging through a central angle of 108° completes an arc of length 24 cm. What is the length of the
pendulum? Round to the nearest hundredth.

Answers

Answer:

Yes! I was looking to refresh my geometry skill!

Step-by-step explanation:

So, a 108* arc is 24 cm. How to solve it?

First, we need to find the Circumference, or perimeter of the circle. (That the swinging pendulum makes.

Second, use that in the formula for circumference, and find the radius.

Third, done! So, let's get to it!

All we have to do to find the circumference is divide 24 by 108, then multiply that by 360*(because a circle is 360*).

[tex]24/108*360=80[/tex]

So, our circumference is 80cm. Nice! Just need to input that into the circumference formula.

[tex]80=2\pi *r\\[/tex]

Now, to solve...

[tex]40=\pi *r\\40/\pi =r[/tex]

This rounds to about 12.73 cm.

Hope this helps!

Happy Geometry!

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