Which of the following are prime factors of both 24 and 42? Select all that apply.

Answers

Answer 1

Answer:

2 and 3

Step-by-step explanation:

So, 24=2x2x2x3

42=2x3x7

3 and 2

Answer 2

Answer:

2 and 3

Step-by-step explanation:

prime factors for 42: 2, 3, and 7

prime factors for 24: 2,2,2 and 3


Related Questions

2.5 divided by 1.5 round to the nearest tenth

Answers

Answer:

1.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.5/2.5=15/25=0.6 no rounding necessary

100 POINTS
A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A. What was the speed of the raft if the speed of the patrol-boat was 12 km/hour?

Answers

The speed of the raft if the speed of the patrol-boat was 12 km/hour, and it caught the raft in 5 hours 20 min later is 2.857 km/hours.

What is the speed of a body?

The speed of a body is the rate at which it covers the total distance is in the time taken. The speed of the body is given as,

[tex]S=\frac{D}{T}[/tex]

Here, (d) is the distance travelled by the body, and (t) is time taken by the body to cover that distance.

A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A.

Total time the patrol boat took in hours is,

[tex]T = 5 + \frac{20}{60}[/tex]

T=5+0.3333

T=5.3333 hours

The speed of the patrol boat is 12 km/hour, and it caught up with the raft 20 km away from point A. Thus, the time taken with this speed to cover 20 km distance is,

[tex]T=\frac{20}{12}[/tex]

T=1.6667 Hours

Thus, the total time is,

T=5.3333+1.6667

T=7 Hours

Now as the raft travel 20 km in 7 hours. Therefore, find the speed of raft by putting the values in above formula as,

[tex]S=\frac{20}{7}[/tex]

S=2.857 kmph

How much closer is it to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington?

Answers

Answer:

40m

Step-by-step explanation:

The total distance from Aurora to Clifton through Burlington is: 65 + 72 = 137

137 - 97 = 40

So it is 40 m  closer to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington.

Which expressions are polynomials?
Select each correct answer.

Answers

Answer:

b and d option are correct

Answer:

B, D

Step-by-step explanation:

B, D

x cannot be in a root.  (A)

x cannot be in the denominator.  (C)

3a^2 X b/c divided by (3ab)^2

Answers

Answer: 1/3cb

Step-by-step explanation:

i hope this helps

Answer:

[tex] {Answer \: is \: }\frac{1}{3bc} [/tex]

Step-by-step explanation:

[tex]Divide \: 3 {a}^{2} \times \frac{b}{c} = 3 {ab}^{2} [/tex]

[tex] \frac{3 {a}^{2} \cdot \frac{b}{c}}{{(3ab)}^{2} } \\ \frac{3 {a}^{2}{b }}{{(3ab)}^{2}c} \\ \frac{3 {a}^{2} b}{9 {a}^{2} {b}^{2}c } \\ \frac{\not3 {a}^{2} b}{\not9 {a}^{2} {b}^{2}c } \\ \frac{ {a}^{2} b}{3 {a}^{2} {b}^{2}c } \\ \frac{ \not{a}^{2} b}{3 \not{a}^{2} {b}^{2}c } \\ \frac{\not{b}}{3 \not{b}^{2}c } \\ \frac {1}{3bc}[/tex]

[tex] {Answer \: is \: }\frac{1}{3bc} [/tex]

Thanks for joining brainly community!

How do I find the surface area of of rectangle

Answers

Area is base•height. If you’re looking for surface area of a 3d rectangle, a rectangular prism, then you do this for all 6 sides and add them together.

How do you know if an equation of a line is a vertical line?

Answers

Answer:

similarly,on the graph in vertical line,x only takes value.thus, the equation for a vertical line is x=a,where is a value that x takes.

Researchers are studying two different designs of computer keyboards, J and K, to investigate the effectiveness of the design on the speed of data entry. The researchers believe there is a tendency for people entering data with keyboard J to have faster entry times compared with people entering data with keyboard K. Using the same set of data for entry, the researchers randomly assigned 5 people to keyboard J and 6 people to keyboard K and recorded the number of seconds each person took to enter the data.

The following dotplots show the observed entry times for the two keyboards.

Keyboard J - 160 180 280 300 200 220 240 260 Entry Time (seconds)

Keyboard K + 160 + 180 280 300 200 220 240 260 Entry Time (seconds)

Explain why it is not appropriate to conduct a two-sample t-test for the difference in population means.

Answers

It is not appropriate to conduct a two-sample t-test because there exists an outlier in both variables.

What is a  two-sample t-test?

The two-sample t-test is used to determine if two population means are equal.  The purpose of the test is to determine whether the difference between these two populations is statistically significant.

In this case, it is not appropriate to conduct a two-sample t-test because there exists an outlier in both variables. Therefore,  it might be more appropriate to compare population medians instead of population means.

Learn more about t-test on:
https://brainly.com/question/6589776

What is 2118910 +6221801

Answers

it's simple addition

:- 2118910 +6221801

:- 8340711

Hope it help ~

#MsHacker...

Answer:

8340711

Step-by-step explanation:

Hello! How to sketch the graph?

Answers

Answer:

Draw your y and x axis , the y axis is going to be a vertical line while the x axis is going to be a horizontal line

1.(07.01 LC)
What is the value of x in the equation -6 + x = -4? (1 point)
-10
-2
10

Answers

hello!

In order to find the value of x, we should add 6 to both sides:-

-6+x=-4

x=-4+6

x=2

Hence, the value of x is 2.

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

Quickly before the timer runs out

Answers

Answer:

47°

Step-by-step explanation:

sum of angles in triangle=180

x + 90 + 43 = 180

x = 180 - 90 - 43

  = 47

Hope it helps:)

The circumference of a circle is 14 cm. Find the radius of this circle

Answers

2.23 should be the radius

Answer:

r ≈ 2.23 cm

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

given C = 14 , then

2πr = 14 ( divide both sides by 2 )

πr = 7 ( divide both sides by π )

r = [tex]\frac{7}{\pi }[/tex] ≈ 2.23 cm ( to 2 dec. places )


Of the 30 students in the sixth period math class, 8 are also in the same fourth period science class. Which can be
used to determine the probability that if three students are chosen at random from the math class to do a group
project, the first student chosen to be in the group is in the fourth period science class but the other two are not?
a [8/30][22/29][21/28
b [8/30][8/30][8/30]
c [8/30][7/29][6/28]
d [8/30][22/30][21/30]

Answers

Answer:

I think the answer is b sorry if the answer is wrong

Round 2,034,627,105 to the nearest ten thousand.

Answers

Answer:

2,034,630,000

Step-by-step explanation:

2 is in the ten thousand place which means you look to the right which is a 7 which means to round up to get 2,034,630,000

Megan played 5 Sudoku games that were at medium
difficulty level. The mean completion time per game
was 5.9 minutes. She completed a sixth Sidoku game
in 2 minutes and 54 seconds. Which of the following
statements must be true about the changes between
Megan's completion times for the 6 games and her
completion times for the 5 games?
A) The mode of the 6 completion times decreased.
B) The median of the 6 completion times remained
the same.
C) The mean completion time per game for the
6 games increased by 2.9 minutes.
D) The mean completion time per game for the
6 games decreased by 30 seconds.

Answers

D but im not sure about it

four friends each took different path walking from the lunchroom to the gymnasium

Answers

finish the question..............

Answer:

Part 1- Lydia

Step-by-step explanation:

The full question should be

Four friends each took a different path walking from the lunchroom to the gymnasium. The table shows the distance that each of them walked. Who walked the farthest?

A circle is drawn to represent a pizza with a 12
inch diameter. The circle is cut into eight
congruent pieces. What is the length of the outer
edge of any one piece of this circle?

Answers

Answer:

Step-by-step explanation:

diameter/2 = radius

12/2 = radius

radius = 6

The outer edge means you are measuring the circumference of the pizza.

Circumference = 2(pi)(radius)

Circumference = 2(pi)(6)

You are only finding 1/8 of the circumference

Therefore you are multiplying the circumference by 1/8

Length of 1 slice = (1/8)((2)(pi)(6)) = (12/8)(pi) = (3/2)(pi) = (3(pi)) / (2) or 4.71 inches

The length of the outer edge of any one piece of this circle will be 4.71 inches.

What is the arc length of the sector?

Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/360°) 2πr

A circle is drawn to represent a pizza with a 12-inch diameter. The circle is cut into eight congruent pieces. Then the central angle of each sector will be given as,

θ = 360° / 8

θ = 45°

And the radius is given as,

r = 12/2

r = 6 inches

Then the length of the outer edge of any one piece of this circle will be

Arc = (θ/360°) 2πr

Arc = (45/360°) 2π x 6

Arc = 1/4 x 3.14 x 6

Arc = 4.71 inches

The length of the outer edge of any one piece of this circle will be 4.71 inches.

More about the arc length of the sector link is given below.

https://brainly.com/question/15955580

#SPJ2

Please help me with this!

Answers

Answer: Solve this problem using the angle bisector theorem. This theorem states that when given a triangle with an angle bisector (line that cuts one of the angles in half, into two of the same angles), that angle bisector divides the opposite side into two segment proportional to the sides of the triangle

Describe the difference between the value of x in a binomial distribution and in a geometric distribution.

Answers

Answer:

See below

Step-by-step explanation:

A binomial distribution has the value of x representing the number of successes in n​ trials, while a geometric distribution has the value of x representing the first trial that results in a success.

What should we added to -3/20 to get 2 9/20

Answers

Answer:

2.60

Step-by-step explanation:

This is a strange way to solve the problem, but it works for me.

1. Convert to decimals

         -3/20 = -.15

         2- 9/20 = 49/20 = 2.45

2. Solve

     2.45 - (-.15)

     2.45 + .15 = 2.60

the mp of a radio is 20 percent more than its cp. the radio is sold to make the profit of 10 z. If the profit is Rs 80 , what is the mp?​

Answers

Answer:

M.P. = [(100 + Gain%)/(100 – Discount%)] × C.P.

The blue dot is at what value on the number line? -3 -1

Answers

Answer:

+2

Step-by-step explanation:

If apples cost $1.08 per pound, how much would 3.8 pounds cost?

Answers

Answer:

4.10

Step-by-step explanation:

1.08 * 3.8 = 4.104

but money is 2dp so...

4.10

Select the correct answer.
Which statement is always true?
A.
A cross section parallel to the base of a right rectangular prism is a square.
B.
A cross section perpendicular to the base of a right rectangular prism is congruent to the base.
C.
A cross section parallel to the base of a right rectangular prism is congruent to the base.
D.
A cross section perpendicular to the base of a right rectangular prism has the same dimensions as the base.

Answers

Answer: C. A cross section parallel to the base of a right rectangular prism is congruent to the base.

Step-by-step explanation: Cross sections that are parallel to the base will give the shape of the base.  That means that when you do a cross section that's parallel to the base, you're making a horizontal line that goes left to right that is the same as the base.  Therefore, C is your answer.

Let me know if this is right! :)

In the figure shown, what is the measure of angle x?

Triangle ABC has measure of angle BAC equal to 40 degrees and the measure of angle ABC is equal to 70 degrees. The side BC of the triangle is extended till D. The angle ACD is labeled as x.

100 degrees
110 degrees
120 degrees
140 degrees

Answers

Given:-ABC is a triangle.[tex]\angle[/tex]BAC = 40°.[tex]\angle[/tex]ABC = 70°.

To Find:-Measure of [tex]\angle[/tex]ACD.

Solution:-

➾Firstly, we will find the measure of [tex]\angle[/tex]ACB.

We know that,

Sum of all interior angles of a triangle = 180°.

[tex]\rightarrow[/tex][tex]\angle[/tex]BAC + [tex]\angle[/tex]ABC + [tex]\angle[/tex]ACB = 180°

[tex]\rightarrow[/tex] 40°+70°+[tex]\angle[/tex]ACB = 180°

[tex]\rightarrow[/tex] 110°+[tex]\angle[/tex]ACB = 180°

[tex]\rightarrow[/tex] [tex]\angle[/tex]ACB = 180°-110°

[tex]\rightarrow[/tex][tex]\angle[/tex]ACB = 70°

So, the measure of [tex]\angle[/tex]ACB = 70°.

➾ Side BC of the triangle is extended till D. So, we have to find the measure of [tex]\angle[/tex] ACD.

As we know that,

Sum of any two or more angles that lie on a straight line = 180°.

So, [tex]\sf\angle{ACB}[/tex]+[tex]\sf\angle{ACD}[/tex] = 180°

[tex]\rightarrow[/tex] 70° + [tex]\sf\angle{ACD}[/tex] = 180°

[tex]\rightarrow[/tex][tex]\sf\angle{ACD}[/tex] = 180°-70°

[tex]\rightarrow[/tex][tex]\sf\angle{ACD}[/tex] = 110°.

Therefore, measure of [tex]\sf\angle{ACD}[/tex] = 110°.

____________________________

Hope it helps you:)

What is the equation of the following line? Be sure to scroll down first to see all answer options.

Answers

Answer: D

Step-by-step explanation:

Using the two point slope form with points (0, 0) and (4, -3):

[tex]\frac{y-0}{x-0}=\frac{4-0}{-3-(0)}[/tex]

[tex]\begin{aligned}&\frac{y}{x}=\frac{4}{-3} \\&y=-\frac{3}{4} x\end{aligned}[/tex]

Therefore, D is the correct answer

Answer:

D. y=-3/4x

Step-by-step explanation:

because when doing slope, you have to remember that it goes y/x and the fact that this is a negative slope meaning that you count from point (0,0) to (4,-3), and the lines on the graph count by 2's, so you would be counting down 3 (because point (4,-3) is inbetween -2 and -4) and to the right 4. making the answer -3/4, and it is negative because it is a downward facing slope. oh, and the x is there because it is an ever changing variable (ever continuing)

80 wpm how many words typed while typing 12 hours straight

Answers

Answer:

57600 words in 12 hours.

Step-by-step explanation:

80 wpm means 80 words per minute.

We need to know how many minutes are in a 1 hour which is 1 hour is 60 minutes.

We want to know how much words in 12 hours.

Given:

[tex]\frac{80 word}{1 min}, \frac{60 min}{1 hour},\frac{12 hour}{1}[/tex]

[tex]\frac{80 word}{1 min} *\frac{60 min}{1 hour} *\frac{12 hour}{1} =[/tex] 57600 words in 12 hours.

Answer: 57,600

Step-by-step explanation:

80 × 60 = 4800 in 1hr

4800 ×12 = 57, 600 in 12hrs

Tess owns a fudge shop in town. She made 3 pounds of fudge and cut it up into 12 equal-sized squares. Tess sells fudge for $2 per pound. A customer bought 5 squares of fudge. How much money did the customer spend?

Answers

the customer spent $13 if it's not 13 it's the closest answer too 13

Answer:

$0.85, or 85 cents.

Step-by-step explanation:

To find this, we first need to find out how much it costs for one square. We know it is $2 per pound, and there are twelve squares in each pound. So to find out how much one square costs, we need to divide $2 by 12. We get an answer that is never-ending when we solve this, so we will round to the hundredths place since we are working with money. What we get as a result is that one square costs $0.17.

Now we multiply the above number by five to find out how much the customer spent. This comes out to be $0.85. In total, the customer spent 85 cents for all five squares of the fudge.

!!!40 POINTS AND BRAINLIEST!!!ANSWER IT ONLY IF YOU KNOW THE ANSWER, MAKE SURE TO EXPLAIN!!!!

Answers

I’m not really sure but I’m 80% sure it’s (.2) seconds I did the math and everything several times to make sure I’m not missing anything but I’m going with (.2). Sorry I’m not good at explaining stuff
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