Which statement is true?

A. the greatest common factor of 10 and 14 is 5.
B. the greatest common factor of 10 and 15 is 5.
C. the greatest common factor of 13 and 21 is 3.
D. the greatest common factor of 14 and 21 is 3.

Answers

Answer 1

Answer:

B. the greatest common factor of 10 and 15 is 5.

Step-by-step explanation:

A. is worg 14 cannot be divided by 5

C. is wrong 13 cannot be divided by 3

D. is wroing 14 cannot be divided by 3

I mean they all can but you won't get the whole numbers only fractions.

Answer 2
Answer:

Option B

Step-by-step explanation:

Let's check each option one by one.

A) The greatest common factor of 10 and 14 is 5.

Write down the factors of 10 and 14.

⇒ Factors of 10: 1, 2, 5, 10

⇒ Factors of 14: 1, 2, 7, 14

We can see here that the GCF is "1" as it is the greatest factor of 10 and 14.

Hence, option A is incorrect.

B) The greatest common factor of 10 and 15 is 5.

Write down the factors of 10 and 15.

⇒ Factors of 10: 1, 2, 5, 10

⇒ Factors of 15: 1, 3, 5, 15

We can see here that the GCF is "5" as it is the greatest factor of 10 and 15.

Hence, option B is correct.

C) The greatest common factor of 13 and 21 is 3.

Write down the factors of 13 and 21.

⇒ Factors of 13: 1 and 13

⇒ Factors of 21: 1, 3, 7, 21

We can see here that the GCF is "1" as it is the greatest factor of 13 and 21.

Hence, option C is incorrect.

D) The greatest common factor of 14 and 21 is 3.

Write down the factors of 14 and 21.

⇒ Factors of 14: 1, 2, 7, 14

⇒ Factors of 21: 1, 3, 7, 21

We can see here that the GCF is "7" as it is the greatest factor of 14 and 21.

Hence, option D is incorrect.

Thus, Option B is correct.


Related Questions

20 POINTS

Which of the following tables does NOT represent a function?

Answers

Answer:

C.

Step-by-step explanation:

In a function, one x-value must have just one y-value assigned to it. So in short, C is the only table that does not represent a function because it has two values of Y (-3, and -1) for one value of x (1).

Please answer the math question thankyou.

Answers

Answer:

50 cubic units

Step-by-step explanation:

The formula for volume of cube = length x width x height

so we do

5 x 5 x 2 =

25 x 2 =

50 cubic units

Hope this helps!

- profparis

a water storage tank has a cylindrical shape. the base has a radius of 7 ft and a height of 15 ft. how much water can the tank hold at its maximum?

Answers

given:

radius= 7ft

height= 15ft

to find:

the amount of water the tank can hold as its maximum.

solution:

[tex]volume \: of \: cylinder = {\pi \: r}^{2} h[/tex]

[tex] = \pi \times {7}^{2} \times 15[/tex]

= 2309.07

therefore, the tank can hold 2309.07L of water as its maximum.

Principal Time. Rate
$470. 10 days. 9%

Whats the interest?

Answers

Principle=P=470Time=T=10Rate =R=R=9%

Interest be I

If interest is daily

I=PRT/100I=470(10)(9)/100I=4230/10I=423$

If interest is monthly (30days)

I=(470)(1/3)(9)/100I=470(3)/100I=1410/100I=14.10$

Answer:

$ 1.20

Step-by-step explanation:

[tex]\sf Time = 10 \ days = \dfrac{10}{365}=\dfrac{2}{73}[/tex]

[tex]Interest = Principal * time *rate\\\\\\=470*\dfrac{2}{73}*\dfrac{9}{100}\\\\= 1.20[/tex]

= $ 1.20

How many times greater is one mile than one foot?

Answers

Answer:

there are 5,280 feet in one miles

so 5,280 times greater

10. Select all true statements.
A. All rectangles are squares.
B. All rectangles are parallelograms.
C. All rhombuses are parallelograms.
D. All squares are rectangles.
E. All squares are rhombuses.
F. All trapezoids are parallelograms.

Answers

The correct answers are:

B, D, and E.

A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

A rectangle is a parallelogram with all right angles, so yes, every rectangle is a parallelogram.

A square is a parallelogram with all right angles and all congruent sides; since it is a parallelogram with all right angles, every square is a rectangle.

A rhombus is a parallelogram with all congruent sides.

Since a square is a parallelogram with all congruent sides, then every square is a rhombus.

A trapezoid is a quadrilateral with one pair of parallel sides. Since a rhombus is a parallelogram, with 2 pairs of parallel sides, rhombus are not trapezoids.

Austin is participating in a 30k race. He runs at an average speed of 10 kilometers per hour and walks at an average speed of 6 kilometers per hour. He wants to complete the race in 4 hours. Let x represent the number of hours he runs. Let y represent the number of hours he walks.

What equation in standard form relates x and y to the goal of covering 30 kilometers? (no spaces) ​

Answers

Using the relation between velocity, distance and time, the equation that relates x and y is given by:

x + y - 3 = 0.

What is relation between velocity, distance and time?

Velocity is distance divided by time, hence:

[tex]v = \frac{d}{t}[/tex]

In this problem, he wants to run 30 km at a rate of 10 km per hour, hence:

[tex]10 = \frac{30}{t}[/tex]

10t = 30

t = 3.

The total time is 3 hours. Considering x as the number of hours he runs and y the number of hours he walks, along with the total time, the equation is given by:

x + y = 3.

In standard form:

x + y - 3 = 0.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

In 2009 the population of the UK estimated at 62 million. In the same year 102,000 people died. Calculate the percentage of people who died in 2009

Answers

Answer: 0.165%

Step-by-step explanation: 102,000/62,000,000, × 100%

HELP FAST PLEASE I WILL TRY TO MARK BRAINLIEST

Answers

950 products

hope it helps...!!!

Use the information given in the figure to find the length NL. If applicable, round your answer to the nearest whole number. The lengths on the figure are not drawn accurately .

Answers

the lenghts on the figure are not

Find the volume of this prism.
41 cm?
11 cm

Answers

Answer:

41cm^2×11cm=451cm^3

Step-by-step explanation:

You need to multiply the surface of the 'base' with height

Answer: 451 cm³

Step-by-step explanation: the rule of the volume is base times height so multiply 41

times 11 so the answer is 451 . The units is to the power of 3 in finding volume of figures . The hexagon is the base and the rectangle is the height so multiply their lengths and don't forget the units . Hope this helps .

Why is the sample mean an unbiased estimator of the population mean?.

Answers

Provided a simple random sample the sample mean is an unbiased estimator of the population parameter because over many samples the mean does not systematically overestimate or underestimate the true mean of the population

how do you calculate the average speed of a car that travels one mile at 30 mph and the second mile at 60 mph

Answers

Answer:

40mph

Step-by-step explanation:

use the speed = distance/time formula.

1. The first car has a speed of 30mph and travels one mile so the equation can be written as 30mph = 1/t.

Rearrange to get t = 1/30

1/30 of an hour is 2 minutes.

2. The second car has a speed of 60 mph and travels one mile so the equation can be written as 60mph = 1/t

Rearrange to get t = 1/60

1/60 of an hour is 1 minute.

The time it took for the total journey is 1 + 2 = 3 minutes

Writing 3 minutes as a fraction of an hour:

3/60 = 1/20

So using the s = d/t formula to calculate the average speed the formula can be written as (the speed is unknown, time is 1/20 and the distance is 2 miles):

Speed = 2/(1/20) = 2x20/1 = 40

Therefore the average speed of that car is 40 mph.

When factored, the trinomials x2 + 2x − 15 and x2 + 7x + 10 have one binomial factor in common. What is this factor?

Answers

Answer:

(x+5)

Step-by-step explanation:

x^2 + 2x -15   =   (x+5)(x-3)

x^2 + 7x + 10 =    (x+5)(x+2)

What is the interest rate if
$7200 is invested for 2 years and
earns $855?

Answers

Answer:

5.94%

Step-by-step explanation:
Interest earned=amount invested ×time×interest rate

855=7200×2×interest rate
Interest rate=855/(7200×2)
Interest rate= 0.0594×100=5.94%

HELPP FOR BRAINLEST RIGHT NOW!!!!

Answers

Answer: Counter, 0, 0.

Step-by-step explanation:

Think about a clock. The hand of a clock goes clockwise. When you tighten something (righty tighty) you spin it clockwise. You can rotate an object, lets say a square, clockwise. You can also rotate it counterclockwise, in the other direction. Therefore, you can rotate an object clockwise and counterclockwise.

You can rotate a figure around any point, such as the center of the figure, the origin, or anywhere else. One common place to rotate a figure around, such as a square, is the origin. This is the center of the coordinate plane. This point is not up, down, left, or right at all from the center. This coordinate is (0, 0). Therefore, the next two blank spaces should both be filled with 0.

The blank spaces should look like this:

One direction is clockwise and the other is counterclockwise.

...

This can be any coordinate point such as the origin which is at ( 0 , 0 )

Principal. Time. Rate
470. 40 days. 10%

Whats the interest?

Answers

Interest is calculated monthly here

Months=1+1/3=4/3monthsP=470R=10

Interest:-

I=PRT/100I=470(4/3)(9)/100I=47(12)/10I=47(6)/556.5$

Step-by-step explanation:

Interest can be calculated by formula,

» I = Prt

where,

p = principalr = annual interest ratet = time (yrs)

Given:

Principal - 470Rate - 10%time - 40 days

To find:

Interest?

Solution:

Time in yrs so :- 40/365 = 8/73

Rate :- 10/100

Calculating Interest

I = Prt

» I = 470* 8/73* 10/100

» I = 47* 8/73

» I = 5.15

Three-fourths of Mrs.
Brown's class is boys.
Two-thirds of those boys
are wearing tennis shoes.
What fraction of the class
are boys with tennis shoes?

Answers

Answer:

3/12

Step-by-step explanation:

2/3 of the 3/4

=3/4×2/3

=6/12

=1/2

this is to say a half of the boys are wearing tennis shoes

since the total number of boys in the class is 3/4

1/2 of the 3/4

=3/12

How many combinations of 4 books can you choose from 6 books?

Answers

Answer:

[tex]\huge\boxed{\bf{^6C_4 = 10combinations}}[/tex]

Step-by-step explanation:

Given:-

6books

To find:-

How many combinations of 4 books can you choose from 6 books?

Ans:-

[tex]\sf \to ^6C_4 = \frac{6!}{4!(6 - 4)!} [/tex]

[tex]\sf \to ^6C_4 = \frac{6!}{4!2!} [/tex]

[tex]\sf \to ^6C_4 = \frac{\cancel6^2*5*\cancel{4!}}{\cancel{4!}\cancel{2!}} [/tex]

[tex]\sf \to ^6C_4 = 2*5 [/tex]

[tex]\sf \to ^6C_4 = 10combinations[/tex]

[tex]\: [/tex]

[tex]\huge\colorbox{blue}{BlackPain} [/tex]

Point p divides segment ab in the ratio AP:PB = 8:12. Which letter marks the location of point p?


A. Point k

B. Point L

C. Point M

D. Point N

Answers

The point P is located on the second partition, when segment AB is divided into 5 subsegments

How to determine the location of point P?

The ratio is given as:

AP : PB = 8 : 12

Simplify the ratio i.e. divide by 4

AP : PB = 2 : 3

The above ratio means that when the segment AB is divided into 5 equal segments, the point P is located on the second partition

Note that the question is incomplete, so I provided a general explanation

Read more about line partition at:

https://brainly.com/question/12959377

#SPJ1

A rectangular field has an area of 1,764 m2. the width of the field is 13 m more than the length. what is the perimeter of the field? 121 m 144 m 168 m 170 m

Answers

The Perimeter of the Field with a rectangular area of 1764 m² and the given width is; D: 170 m

What is the perimeter of the rectangle?

We are given;

Area of rectangle; A = 1764 m²

We are told that the width of the field is 13 m more than the length. Thus;

W = L + 13

Thus;

L(L + 13) = 1764

L² + 13L = 1764

Using quadratic equation calculator;

L = 36 m

Thus;

W = 36 + 13

W = 49

Perimeter = 2(L + W)

Perimeter = 2(49 + 36)

Perimeter = 170 m

Read more about Perimeter of Rectangle at; https://brainly.com/question/24571594

Triangle Abc has vertices at A(0,4) B(2,10) and C(8,8). It is dilated by a scale factor of 1/4 with the origin used as the center of dilation, to produce the image A' B' C'. What are the coordinates of the verticals of the dilated image A' B' C'

Answers

Answer:

Step-by-step explanation:

Twice a number y is more than
-2.5

Answers

Answer:

2y >= 5/2

Step-by-step explanation:

Which of these foods has a high percentage of calories from fats?

A. apples and oranges

B. carrots and eggs

C. bread and celery

D. mayonnaise and nuts

Answers

Answer:

D. mayonnaise and nuts

Step-by-step explanation:

Answer:

D. Mayonnaise and nuts

Step-by-step explanation:

Mayonnaise and nuts

find the area of a rectangle with length 2/1 4 ft and width 2/1 3

Answers

Answer:

5 1/4

Step-by-step explanation:

2 1/4 x 2 1/3 = 21/4 = 5 1/4

The set of all points in a plane that lie the same distance from a single point in the plane.

Answers

Answer:  Circle

Explanation:

Imagine that you have a rope staked into the ground at one end. The other end is allowed to move freely. At this freely moving endpoint, imagine white chalk is spread on the grass. The chalk would draw out a circle. Each point on the white chalk circle is the same distance away from the center.

Another example: we have a campfire and campers gather around it. The fire itself is the center. The campers would be on the edge of the circle if they are the same distance away from the fire (eg: all of them 5 feet away from the fire).

If you have 34 cookies and eat 7 plus 4/9 how much do you have?

Answers

Answer:

26 and 5/9 are left if you eat 7 and 4/9 of 34 cookies.

Step-by-step explanation:

Answer:

15 cookies

Step-by-step explanation:

34-7=27

eat 4/9 of remaining cookies means 27÷9×4= 12 more cookies are eaten

27 - 12 = 15

The base of the rectangular prism is shaded what is the lateral surface area ( show work pls )

Answers

Answer:

126 square feet

Step-by-step explanation:

Lateral Surface Area :

Perimeter of Base x Height

Perimeter :

2(11 + 3)2(14)28 ft

Height : 4.5 ft

Solving :

LSA = PhLSA = 28 x 4.5LSA = 126 square feet

A cylindrical pipe has diameter 20 cm and height 100 cm. How much water can the pipe hold?
Use 3.14 for pi.

Answers

Answer:

Step-by-step explanation:

V=pi*r^2*h

V=3.14*100*100

V=31400

Which polygon is a pentagon

Answers

Answer: In geometry, a pentagon is a five-sided polygon with five straight sides and five interior angles that sum up to

540

°

. A pentagon shape is a plane figure, or flat (two-dimensional) 5-sided geometric shape.

Properties of a Pentagon

1. Pentagons have five straight sides

2. Pentagons have five interior angles, which sum to

540

°

3. The five sides do not intersect

Step-by-step explanation:  Hello, I have only told you the properties on how to tell if it's a pentagon, please explain or show some type of image if you still need help!

Answer: it's c

your welcome:)

Step-by-step explanation:

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