Mathematics High School

which number is a common factor of 32,48,and 80?

Answers

Answer 1

Answer:

Step-by-step explanation:

The GCF is found by listing the factors of all the numbers and picking the largest one that occurs in each.  The factors of your numbers are as follows:

32:  1, 2, 4, 8, 16, 32

48:  1, 2, 3, 4, 6, 8, 12, 16, 24, 48

80:  1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Looking at those factors you can pick out anything you'd like:  all the common factors, the greatest common factors, whatever you need.

Answer 2

Final answer:

The number 16 is a common factor of 32, 48, and 80, as it is the only number among the options given that divides evenly into all three numbers.

Explanation:

To find a common factor of 32, 48, and 80, we need to identify a number that divides evenly into all three numbers. A systematic way to do this is to list out the factors of each number and see which ones they have in common.

Factors of 32: 1, 2, 4, 8, 16, 32

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

From these lists, we see that the numbers 1, 2, 4, 8, and 16 are common factors of all three numbers. However, among the options provided (3, 9, 10, 16), 16 is the only number that appears in all lists and is therefore a common factor of 32, 48, and 80.

Related Questions

what is the store policy at pastic mart

Answers

All sales are vinyl.

Hope this helped!

All sales are vinyl. (That's only what I saw)

Please help! Really need help!

Answers

i am pretty sure it is 25 f=3  the first x=0 the second X= 2 so f=g/x=5 then 5x5 =25 or just look at the pic. 5x5 that is the area but I am not sure if it is asking for the area.

Cody filled a container with 8 1/4 quarts of iced tea. How many 1/4-quart glasses can be served from the container?

A. 2 1/16

B. 16 1/2

C. 4 1/8

D. 33

Answers

The answer is D. 33
Tell me if you want to know how it's done :)
The answer to this question is d 33

f(x)=tan(x)
Find the limit as x approaches pi/2 from the negative and positive sides then find the limit as x approaches 0.

Help please!! :(

Answers

Tan(x) = sin(x) / cos(x). Therefore, tan(x) pi/2 = 1/0, which doesn't exist. Imagine that, instead of 0, it's a number incredibly close to 0. The smaller the number in the denominator, the bigger the outcome. Therefore, we can think of 1/0 as infinity, or approaching infinity as one gets closer to 1/0. This is the same result approaching from the negative side, only it's negative infinity. If x=0, it's 0/1 instead (sin 0=0, cos 0=1). Anything divided by 1 is itself, so as x approaches 0, so does f(x).

What are the coordinates of point Q after this reflection

-8,3

-8,-3

-3,-8

8,3

Answers

We have that in this case the point Q is:
 Q = (x, y) = (- 8, 3)
 A reflection of the figure on the x axis is given by the following rule:
 (x, y) ----> (x, -y)
 Applying the transformation:
 (-8, 3) ---> (- 8, -3)
 Answer:
 the coordinates of point Q after this reflection are
 -8, -3

The new coordinates of Q are (-8, -3).

When reflecting a point across the X-axis, the X-coordinate remains unchanged, while the Y-coordinate changes its sign. From the figure attached, we find coordinates of Q are (-8,3). Therefore:

The X-coordinate of Q remains as -8.The Y-coordinate of Q changes from 3 to -3.

As a result, the coordinates of point Q after reflection along the X-axis will be (-8, -3).

Therefore, the new coordinates of point Q are (-8, -3).

Two tons of water is pumped into a tank 15 ft. high in 5 minutes. Determine the power output of the pump.

Answers

Answer:

  0.364 horsepower

Step-by-step explanation:

You want to know a pump's power output if it raises 2 tons of water 15 ft in 5 minutes.

Power

The power is conveniently measured in horsepower. One horsepower is 33,000 ft·lb/minute.

Here, we have (2t · 2000 lb/t · 15 ft)/(5 min) = 12000 ft·lb/min

In terms of horsepower, that is ...

  (12000 ft·lb/min) / (33000 ft·lb/min/hp) = 4/11 hp ≈ 0.364 hp

The power output of the pump is about 0.364 horsepower.

__

Additional comment

That's about 271 watts.

The distance dimensions are in feet, so we assume the tons are US short tons of 2000 lb each.

△ XYZ∼ △ DEF, YZ is 10 meters, ​ XZ ​ is 15 meters, and EF is 8 meters. What is ​ DF?

Answers

im not for sure on this but i would say DF is 13

△ XYZ∼ △ DEF, YZ is 10 meters, ​ XZ ​ is 15 meters, and EF is 8 meters. What is ​ DF?

Solution:

As, △ XYZ∼ △ DEF , so the ratio of sides of triangle is equal.

So, we have, [tex] \frac{XY}{DE} =\frac{YZ}{EF} =\frac{XZ}{DF} [/tex]

Using, [tex] \frac{YZ}{EF} =\frac{XZ}{DF} [/tex]

So, we get,[tex] \frac{10}{8} =\frac{15}{DF} [/tex]

Now, to solve for DF, we must simplify

Simplifying,[tex] \frac{10}{8} =\frac{5*2}{4*2}=\frac{15}{DF) [/tex]

[tex] \frac{5}{4} =\frac{15}{DF} [/tex]

To simplify, Let us multiply by 4*DF on both sides

[tex] \frac{5*4DF}{4} =\frac{15*4DF}{DF} [/tex]

[tex] \frac{5DF}{1} =\frac{15*4}{1} [/tex]

So, 5 DF=15*4=60

To solve for DF, let us divide by 5 on both sides

[tex] \frac{5}{5} DF=\frac{60}{5} [/tex]

[tex] \frac{1}{1} DF=\frac{12}{1} [/tex]

So, DF=12meters

Help!right answer and best explanation gets brainliest

Answers

I believe its 480 in^3

Find the prime factorization of 60

Answers

The answer is the bottom one because you always use exponents if there are 2 or more of the same prime number.
Hey there! 

[tex]2(2) = 4(3) = 12(5) = 60 [/tex]

[tex]2^2 =4 = 4(3) =12(5) = 60 [/tex]

They are both prime factorization of [tex]60[/tex] 

But, if you had to choose one then pick:[tex] 2*2*3*5[/tex] (the first option) 

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Joe can buy a pair of canvas shoes for $7 or a pair of leather shoes for $35. At these prices, what is the ratio of the cost of 6 pairs of canvas shoes to the cost of 3 pairs of leather shoes?

A. 1/10
B. 1/5
C. 2/5
D. 2/15
E. 3/10

Answers

Final answer:

The ratio of the cost of 6 pairs of canvas shoes to the cost of 3 pairs of leather shoes is D. 2/5.

Explanation:

To find the ratio of the cost of 6 pairs of canvas shoes to the cost of 3 pairs of leather shoes, we need to calculate the total cost of each option.

For 6 pairs of canvas shoes, the cost is $7 per pair, so the total cost is 6 x $7 = $42.

For 3 pairs of leather shoes, the cost is $35 per pair, so the total cost is 3 x $35 = $105.

Therefore, the ratio is $42 : $105, which simplifies to 2/5.

The measures of two of the angles in a triangle are green. Find the measure of the thirs angle. Show your calculations to support your answer.
5-8?

Answers

In a triangle, the three interior angles always add to 180°

5
m∠3 = 180 - 126.5 - 19 = 34.5°

6
m∠3 = 180 - 65.5 - 85 = 29.5°

7
m∠3 = 180 - 98.3 - 37.5 = 44.2°

8
m∠3 = 180 - 31 - 113 = 36°
Angles in a triangle add up to 180°. 
So all we have to do is subtract the 2 angles we know from 180:

For question 5, we subtract 126.5° and 19° from 180°:
180 - 126.5 - 19 = 34.5°

The same principle applies for the rest.

Question 6:
180 - 65.5 -85 = 29.5°

Question 7:
180 -98.3 -37.5 = 44.2°

Question 8:
180 - 31 - 113 = 36°

Can I get some help

Answers

Hey there!

Let's start with our initial value. Our initial value is 40 dollars, it is always added as it was how much was originally in our account.

So far, we have:

y = 40 + ??

Now, since we know that they deposit 18 dollars owe Monday or per week, we know what we can always multiply 18 by how many weeks there are to get how much additional money was added. We have:

y = 18w + 40

Hope this helps!

solve 30 - 9.8x

A.) x = 39.8
B.) x = 20.2
C.) x = 3.06
D.) x = 0.33

Answers

30 - 9.8x
x = 30 / 9.8
x = 3.06

Answer is C

Answer: x = 3.06

Step-by-step explanation:

You do 30 divided by 9.8 and you get 3.06

Kenya is reserving a room in a hotel in France where they use euros (€). The room charge is €75. Suppose the conversion rate is €1 = $1.298. What is the cost of the room in dollars?

Answers

€75*$1.298=$97.35 is your Answer
€75 times $1.298 equals $97.33 because you have to times the 75 euros  times $1.298 equals $97.33

Which of the following is not good advice for reducing sibling rivalry?


Avoid comparing yourself to a sibling.

Focus on your own achievements.

Try to reduce conflicts fairly.

Have daily debates.

Answers

It is not advised to have daily debates. There are many reasons why children fights. Most siblings experience jelousy and competition but other factors must also be included such as presence of role models, special needs of the children, their individual temperaments and their evolving needs. As children, they should be assessed based on their stage of development and how well they relate with others.

Answer:  Have daily debates.

Step-by-step explanation:

Which polynomial is a quintic binomial?

x^(4)+2x^(3)-x^(2)+7x+11

x^2+4x

3x^5+2

5x^2-2x+1

Answers

quintic means the polynomial has a highest degree of 5
binomial means the expression has two terms.
the third choice is the answer. 

The correct answer is x^(4)+2x^(3)-x^(2)+7x+11

What are the solutions of the equation?

15+IXI=26

Choose all answers that are correct.



–41

–11

11

41

Answers

the correct answer would be 41

The graph below shows a system of equations:




The x-coordinate of the solution to the system of equations is _______________


PLEASE HELP!! :) :)

Answers

-x + y = 4
2x+3y= 2

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

5y = 10

y= 2

-x + 2 = 4

-x = 2

x = -2

Select the point that satisfies y ≤ x2 - 3x + 2. A. (3, 3) B. (4, 4) C. (2, 2) D. (1, 1)

Answers

To answer this question, you will substitute in the first number in the ordered pair for x and the second number in the ordered pair for y.  For the first ordered pair, it is 3<3^2- 3 x 3 + 2.  Simplified, it would say that 3<2 which is not true!  For b. it would be 3<4^2- 3 x 4 + 2.   Simplified, it would say that 4<6 which is true!   For c. it would be 2<2^2- 3 x 2 + 2.   Simplified, it would say that 2<0 which is NOT true! For d. it would be 1<1^2- 3 x 1 + 2.   Simplified, it would say that 1<0 which is also NOT true!

Answer:

the answer is (4,4)

Step-by-step explanation:


Please help with this one math question?

Answers

[tex]JK= \sqrt{JL^2+KL^2 -2\cdot JL \cdot KL \cdot cos62^o}\\\\ {} \ \ \ \ \ =\sqrt{3^2+5^2 -2\cdot 3 \cdot 5 \cdot 0.4695} \\\\ {} \ \ \ \ \ =\sqrt{34 -14.085}\\\\ {} \ \ \ \ \ = \sqrt{19.915} \\\\ {} \ \ \ \ \ \approx 4.5 \ \ mm[/tex]

Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students in the class, 5 want an ice cream party, 7 want a movie party, 10 want a costume party, and the rest are undecided. If 20% , percent want an ice cream party, how many students are in the class?

Answers

20% x 5 = 100%
5 x 5 = 25
There are 25 students in the class, 3 are undecided.

What are the coordinates of the vertex for f(x) = x2 + 6x + 13?

A. (4, 4)
B. (−4, 4)
C. (3, 4)
D. (−3, 4)


Which of the following is a factor of 5x3 + 320?
A. 5
B. x+4
C. x^2-4x+16
D. All of the above

Answers

x2 + 6x + 13
c = (b/2)2 = (6/2)2 = 9
x2 + 6x + 9 + 4
(x+3)2 +4
so the vertex is at: (-3, 4), D)

Elise is entering a team into a 5-kilometer race. The cost for entry is $15 for a team and an additional $2 per member. The total cost can be modeled by the equation -2x + y = 15, where x is the number of members on the team and y is the total cost. What is the total cost if Elise has 5 members on her team?

Answers

Final answer:

After substituting the number of members into the equation and solving for the total cost, Elise's 5-member team's entry fee into the race is $25.

Explanation:

The total cost of entering a team into a 5-kilometer race can be modeled by the linear equation -2x + y = 15, where x is the number of members on the team and y is the total cost. To calculate the total cost for Elise's 5-member team, we need to substitute x = 5 into the equation and solve for y.

First, we multiply the number of members by the additional cost per member: 5 members × $2/member = $10. Then, we add the team entry fee to get the total cost: $15 (team entry) + $10 (members) = $25. Therefore, the total cost for Elise's team is $25.

Final answer:

To find the total cost for Elise's team of 5 members, substitute x=5 into the equation -2x + y = 15 and solve for y to get the total cost of $25.

Explanation:

The student's question involves finding out the total cost of entering a team in a 5-kilometer race with a given equation that models the costs based on the number of team members. The equation provided is: -2x + y = 15, where x is the number of members on the team, and y is the total cost. To find the total cost for Elise's team that has 5 members, we replace the variable x with the number 5 in the equation and solve for y:

-2(5) + y = 15

-10 + y = 15
y = 25

The total cost for Elise to enter a team with 5 members in the race is $25.

The area of a rectangle is 9.312 x 104 cm2 and the width is 2.56 x 102 cm. What is the length? A) 3.6375 x 102 B) 3.6375 x 106 C) 6.752 x 102 D) 6.752 x 106

Answers

Area = length*width
length = Area/width
  = (9.312*10^4)/(2.56*10^2) = 3.6375*10^2 . . . cm

Selection A is appropriate.

_____
You already knew that before you even touched your calculator. 10^4/10^2 = 10^2, so only answers A and C should be considered. 9.3/2.6 < 4.5, so only answer A should be considered.

The beauty of scientific notation for numbers is it helps you estimate the result of multiplication and division easily. For many problems, you don't need the actual answer as much as you need the ballpark in which the answer resides.
Answer:  B, 3.6375 x 10^2

Step-by-step explanation:

For USATestprep people.

IMAGE ATTACHED

If A(1, 1), B(5, 4), C(10, 3), and D(6, 0) are the vertices of a quadrilateral, do the points form a parallelogram? Justify your answer.

Yes, it is a parallelogram because the slope of segment AB equals the slope of segment DC, which equals negative start fraction three over four end fraction comma and AD = BC = 5 units.
Yes, it is a parallelogram because the slope of segment AB equals the slope of segment DC, which equals start fraction three over four end fraction comma and AB = CD = 5 units.
Yes, it is a parallelogram because the midpoint of the diagonals segment AC and segment BD is (5.5, 2).
No, it is not a parallelogram because the slope of segment AB = 1 and the slope of segment DC equals negative start fraction three over four end fraction full stop

Answers

I believe the answer is yes, it is a parallelogram because the slope of segment AB equals to the slope of segment DC, which equals start fraction three over four end fraction comma and AB=CD=5 units.
The slope of AB = (4-1)/(5-1)= 3/4
The slope of DC = (0-3)/(6-10) = 3/4
Thus, the two segments have equal slope,
Both segments are also equal in magnitude 5 units 

Brian has reduced his cholesterol level by 16% by following a strict diet and regular exercise. If his original level was 260, what is his approximate cholesterol level now?

Answers

Original amount (260) subtracted by original amount times percent drop (16%).

=260 - (260 * 16%)
=269 - (260 * 0.16)
=260 - 41.6
=218.4 new cholesterol level

ANSWER:
His new cholesterol level is 218.4.

Hope this helps! :)

Answer:

218.4

Step-by-step explanation:

What is 0.673 rounded to the nearest hundredths

Answers

Your answer will be 0.67

Hope this helps

0.673 rounded to the nearest hundredth as 0.67

The digit in the smallest location is unaffected if it is less than 5 in number. Rounding down is the process of reducing a number to zero after a certain number of digits. The digit in the smallest location is added with +1 if it is bigger than or equal to 5.

To round off 0.673 to the nearest hundredth means hundredth digit after decimal, To do so take a look on the thousandth digit after decimal, If it is greater than 5 or equal to 5 increase the hundredth digit after decimal by 1 otherwise no change,

Here, the thousandth digit is 3, 3<5. So, no increment is required.

It will remain as 0.67.

Thus, 0.673 is 0.67 after rounding off to the nearest hundredth.

Learn more about round off, here:

brainly.com/question/31754034

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The blue figure is a dialation image of the black figure. The labeled point is the center of dilation. Tell wheaten the dilation is a enlargement or a reduction. Then find the scale factor of dilation

Answers

The dilation's scale factor will be 1/4.

The division method is used to divide a bunch of items into equal portions.

Division is the inverse of multiplication. For instance, dividing 20 by 2 means dividing 20 into two equal groups of ten.

Given this,

The blue figure is a magnified version of the black one.

Furthermore, the origin is the center of dilatation.

Now,

Because the blue figure is a dilatation of the black one.

Furthermore, the origin is the center of dilatation.

In this case, the length of the black figure equals 16 units.

Furthermore, the length of the blue figure equals 4 units.

As a result, the dilation scale factor is 4/16.

= 1/4

. Ms. Johnson, a circus ringleader, made a cake in the shape of a circus tent to use as the centerpiece at a celebration. As shown in the illustration, the cake consists of a cylinder and a cone. The height of the cone is one-half the height of the cylinder. The volume of the cylinder is 3 1470 in . The diameter of the cylinder is 12 in. What is the volume of the circus tent cake? Use 3.14 for  . Round to the nearest hundredth.





Ms. Johnson wants all the circus employees to have miniature cakes in the shape of either a circus ball or a
clown hat. She wants the clown hat dessert and the circus ball dessert to have equal volumes. The radius of
both cake pieces will be 3 in. What must the height of the clown hat cake be for the two cakes to be equal in
volume? Round to the nearest hundredth if necessary. Explain or show your work.


Answers

The formula for the volume of a cylinder is V=πr²h.  Substituting the information we have, we get 1470=(3.14)(6²)h
1470=113.04h
Divide both sides by 113.04:
1470/113.04 = 113.04h/113.04
13 ≈ h
The height of the cylinder is 13 inches.  We know that the height of the cone is 1/2 the height of the cylinder; 1/2(13) = 6.5 inches.  The formula for the volume of a cone is:
V=1/3πr²h
The cone and the cylinder have the same radius, and we now know that the height of the cone is 6.5.  Substituting this information in we have:
V=1/3(3.14)(6²)(6.5) = 244.92 in³
The total volume of the cake would be the volume of the cylinder added to the volume of the cone:
1470+244.92 = 1714.92 in³.

The formula for the volume of a sphere, for the ball cake, is 
V=4/3πr³.  Using the radius of 3 we have:
V=4/3(3.14)(3³)=113.04 for the volume of the circus ball cake.
The formula for the area of the cone-shaped hat cake is V=1/3πr²h.  We want it to have the same volume as the circus ball cake, and we know the radius is still 3:
113.04=1/3(3.14)(3²)h
This simplifies to
113.04=9.42h
Divide both sides by 9.42:
113.04/9.42 = 9.42h/9.42
The hat cake would have to have a height of 12 inches to have the same volume.

Answer:

bce

Step-by-step explanation:

Dolbear's law states the relationship between the rate at which Snowy Tree Crickets chirp and the air temperature of their environment. The formula is Upper T equals 50 plus StartFraction Upper N minus 40 Over 4 EndFractionT=50+ N−40 4​, where T is a temperature in degrees Fahrenheit and N is a number of chirps per minute. If Nequals=9898​, find the temperature in degrees​ Fahrenheit, T.

Answers

For this case, the first thing we are going to do is rewrite the equation correctly.
 We have then:
 T = 50 + (N-40) / 4
 We substitute the value of N = 98, we have then:
 T = 50 + (98-40) / 4
 T = 64.5 degrees Fahrenheit.
 Answer:
 the temperature in degrees Fahrenheit, T is:
 T = 64.5 degrees Fahrenheit.

The temperature in degrees​ Fahrenheit, T is 68°F.

Dolbear's law states that the number of chirps per minute that a snowy tree cricket makes is related to the air temperature in degrees Fahrenheit by the following formula:

T = 50 + (N - 40)/4

where:

T is the temperature in degrees Fahrenheit

N is the number of chirps per minute

If N = 98, then the temperature is:

T = 50 + (98 - 40)/4 = 68 degrees Fahrenheit

So the answer is 68 degrees Fahrenheit.

Here is an explanation of the calculation:

We are given that N = 98 chirps per minute.

We substitute this value into the formula for Dolbear's law to get:

T = 50 + (98 - 40)/4 = 68 degrees Fahrenheit

Therefore, the temperature is 68 degrees Fahrenheit.

Here are some additional things to consider:

The number of chirps per minute that a snowy tree cricket makes is not always an accurate measure of the air temperature. The number of chirps can also be affected by other factors, such as the humidity and the time of day.

Dolbear's law is a simplified model of the relationship between the chirping rate of snowy tree crickets and the air temperature. The actual relationship is more complex and can be affected by a number of factors.

To learn more about temperature here:

https://brainly.com/question/7510619

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