Find the greatest common factor and the least common multiple of 16 and 20. The prime factorizations of each number are given.
.

Answers

Answer 1

Answer:

GCF 4, LCM 80

Step-by-step explanation:

Since both 16 and 20 have two 2s as factor, their greatest common factor is 4.

The LCM is found by multiplying all of the remaining factors by the LCM:

16 still has (2 x 2), 20 still has (5), times the GCF (4)  so 2 x 2 x 5 x 4 = 80.


Related Questions

The scale model of a building is 8.5 inches tall. How tall is the actual building if the scale
used for the model is 1 inch = 150 feet?

Answers

Answer:

1,275

Step-by-step explanation:

Answer:

1275

Step-by-step explanation:

you do 8.5 multiplied by 150

Geraldo and Raul are participating in a relay for charity. Geraldo rides his bike 12​ miles per hour. Raul rides his bike 10​ miles per hour. Together, they travel a total distance of 34​ miles.

Answers

We know

[tex]\\ \sf\Rrightarrow Speed=Distance/Time[/tex]

[tex]\\ \sf\Rrightarrow Distance=Time\times {Speed}[/tex]

Let hours be x

[tex]\\ \sf\Rrightarrow 12x+10x=34[/tex]

[tex]\\ \sf\Rrightarrow 22x=34[/tex]

[tex]\\ \sf\Rrightarrow x=34/22[/tex]

[tex]\\ \sf\Rrightarrow x=17/11[/tex]

[tex]\\ \sf\Rrightarrow x=1.5h[/tex]

math question help plsss

Answers

Answer would be C
Point A is at (1,1) then point B is three units down and point C is three over from point B :)

Is ∠ABC ≅ ∠ADC? Yes or no and why. PLEASE HELP ME? thanks. BRAINLIEST to CORRECT answers ONLY. PLEASE NO LINKS

Answers

yes the triangles are congruent by the HL Theorem

How i can answer this question?

Answers

Answer:

11n

Step-by-step explanation:

7+4 =11

so then 7n+4n=11n

Please help me solve this problem ASAP

Answers

Answer:

∠ = 130°

Step-by-step explanation:

They are vertical angles: a pair of opposite angles formed by intersecting lines. These two angles are considered congruent, which means they have exactly the same measure. So, you simply solve for x when they equal each other. Remember, both angles share the same measurement.

15x -5 = 13x + 13

5 + 15x - 5 = 13x + 13 + 5

13x - 15x = 13x + 18 - 13x

2 ÷ 2x = 18 ÷ 2

x = 9

Now you must put 9 in for x to solve the measurement of the angles.

15 (9) - 5 = 130°

13(9) + 13 = 130°

Both angles equal 130°, so you know you've done the math correctly.

Jaime is preparing for a bicycle race. His goal is to
bicycle an average of at least 280 miles per week for
4 weeks. He bicycled 240 miles the first week,
310 miles the second week, and 320 miles the
third week. Which inequality can be used to
represent the number of miles, x, Jaime could bicycle
on the 4th week to meet his goal?
A)
240 + 310 + 320
3
+ x 280
B) 240 + 310 + 320 2 x(280)
C)
240 310 320
+- + +x280
4 4 4
D) 240 + 310 + 320 + x 2 4(280)

Answers

Using the mean concept, it is found that the inequality can be used to  represent the number of miles, x, Jaime could bicycle  on the 4th week to meet his goal is:

[tex]\frac{240 + 310 + 320 + x}{4} \geq 280[/tex]

The mean of a data-set is the sum of all observations divided by the number of observations.

In this problem:

There are 4 observations.They are: 240, 310, 320 and x.

Hence, the mean is:

[tex]M = \frac{240 + 310 + 320 + x}{4}[/tex]

His goal is to  bicycle an average of at least 280 miles per week for  4 weeks, hence:

[tex]M \geq 280[/tex]

[tex]\frac{240 + 310 + 320 + x}{4} \geq 280[/tex]

To learn more about the mean concept, you can take a look at https://brainly.com/question/13451786

Eva took a taxi from her house to the airport. The taxi company charged a pick-up fee of $4.10 plus $0.50 per mile. The total fare was $9.60, not including the tip. Write and solve an equation which can be used to determine mm, the number of miles in the taxi ride.

Answers

Here we must write and solve a linear equation to find the number of miles that Eva traveled in the taxi. We will find that Eva traveled 11 miles.

So we know that the taxi charges a fee of $4.10 and then a plus of $0.50 per mile.

So if you travel for m miles, the cost equation is:

C(m) = $4.10 + $0.50*m

Now, we know that for Eva the total fare (total cost) was $9.60, then we need to solve:

$9.60 = C(m) = $4.10 + $0.50*m

$9.60 = $4.10 + $0.50*m

$9.60 - $4.10 = $0.50*m

$5.50 = $0.50*m

$5.50/$0.50 = m = 11

This means that Eva traveled 11 miles in the taxi.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/19045223

Answer:

11

Step-by-step explanation:

angle A coincides with angle E

Answers

Answer:

Nah fam its the other way round.... bru h whats ur question

Step-by-step explanation:

Answer:

It coincides by both being congruent

Step-by-step explanation:

Help me help help helppppppppppp

Answers

Answer:

61.2$

Step-by-step explanation:

I think that's how it's done.

What part of 28 is 17?

Answers

17 is 60.7% percentage of the number 28.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

We have to find what is 17 in 28.

To find this we have to multiply x with 100 and divide it by hundred which is equal to seventeen

x/100×28=17

0.28x=17

Zero point two eight times of x equal to seventeen

Divide both sides by 0.28

x=17/0.28

We get sixty point seven one percentage

x=60.71%

Hence,17 is 60.7% percentage of the number 28.

To learn more on Percentage click:

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Multiplied by 3/4 and then divided by 3/5 is the same as dividing by what?


Please explain step by step

Answers

We have:  x ×  [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{3}{5}[/tex] = x ×  [tex]\frac{3}{4}[/tex]  ×  [tex]\frac{5}{3}[/tex] =  x × [tex]\frac{5}{4}[/tex] = x ÷ [tex]\frac{4}{5}[/tex]

ANSWER:  E. 4/5

Ok done. Thank to me :>

If x=a sintheta and y=bcostheta, show that (b^2)(x^2)+(a^2)(y^2)=(a^2)(b^2)a​

Answers

The answer is a
2
b
2

Determine whether it is possible to form a triangle
with side lengths 3, 6, and 10.
O yes
O no

Answers

Yes this is correct using equaivslent angles formula in order to do

In ΔSTU, u = 280 inches, ∠T=63° and ∠U=29°. Find the length of t, to the nearest 10th of an inch.

Answers

Answer:

t = 514.6in.

Step-by-step explanation:

280/sin(29°) = t/sin(63°)

t = 280*sin(63°)/sin(29°)

t = 514.6 in. (to the nearest 10th of an inch)

HEYYYY I NEED HELPPPP AS SOON AS POSSIBLE

Answers

60.
half of the 40 is 20 so 3/2 of the area is 60

In simplest form …..

Answers

Answer:

2[tex]\sqrt[3]{2}[/tex]    

Step-by-step explanation:

[tex]\sqrt[3]{54} - \sqrt[3]{2}[/tex]

[tex]\sqrt[3]{2 * 3 * 3 * 3}[/tex] - [tex]\sqrt[3]{2}[/tex]         Prime factorization.

[tex]3\sqrt[3]{2}[/tex] - [tex]\sqrt[3]{2}[/tex]                      Simplify the radical.

2[tex]\sqrt[3]{2}[/tex]                              Subtract.

Hello da 234234r32 ef3qew3e2wr3qefwasdwasd

Answers

ah, thank you. your question truly made the most of sense.

Eq 1 X+Y=16
Eq 2 6x+9y=120

Solve by substitution
Solve step by step

Answers

Answer:

X = 8, Y = 8

Step-by-step explanation:

Step 1) Solve for Y w/ bottom equation to yield - y = -2/3x + 40/3.

Step 2) substitute equation into x + y = 16 to get 1/3x + 40/3 = 16 multiply by 3 to clear the fractions and get x + 40 = 48 - subtract 40 by both sides to get x = 8.

Step 3) Plug x = 8 into the bottom equation to get 48 + 9y = 120, subtract 48 by both sides to get 9y = 72 and then divide by 9. The product is y = 8.

given: 4x=12x+32 prove: =-4

Answers

Answer:

See explanation

Step-by-step explanation:

4x = 12x + 32

Subtract 12x from both sides

-8x = 32

Divide each side by -8.

x = -4

Answer:

True, see attached photo, if this helped you please give Brainliest

Step-by-step explanation:

for each fraction below find an equivalent fraction with a denominator 200.

fraction 14/25​

Answers

Answer:

112/200

Step-by-step explanation:

To find an equivalent fraction with a new denominator you can simply multiply by 1. However, you must multiply by different forms of 1. Remember that any number divided by itself is equal to 1. Additionally, because of the identity property of multiplication, any number multiplied by 1 is still equivalent.

In this case, you should multiply by a fraction that will make 25=200. To get 200 from 25 you must multiply by 8. So, multiply the whole fraction by 8/8. This gives you (14/25)*(8/8)=112/200.

Find the value of c that makes x^2+ 9x + c a perfect square trinomial. Write the expression as the square of a binomial. The expression is​

Answers

Answer:

[tex]c=\frac{81}{4}[/tex]

I hope this is the right answer and I hope this helps

The value of the variable 'c' to convert the expression as the square of a binomial will be 81 / 4.

What is a perfect square trinomial?

A perfect square trinomial formulation can be created by taking the binomial equation's squared. If and then only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is indeed a perfect square.

The expression is given below.

⇒ x² + 9x + c

The value of the variable 'c' to convert the expression as the square of a binomial will be given as,

c = (9/2)²

c = 81 / 4

The value of the variable 'c' to convert the expression as the square of a binomial will be 81 / 4.

More about the perfect square trinomial link is given below.

https://brainly.com/question/16615974

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Help PLEASE!!! I really need it I really do please anyone

Answers

Answer:

5. alternate interior angles

7. angle addition postulate

Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle? 82° 92° 102° 112°.

Answers

The measure of the fifth interior angle is 102 degrees.

A polygon is an object with five sides. It is made up of five straight edges and 5 interior angles. The sum of interior angles is 540 degrees.

In order to determine the fifth interior angle, the sum of the four interior angles would be subtracted from  sum of interior angles in a polygon.

Fifth interior angle = 540 - (88 + 132 + 100 + 118)

= 540 - 438

= 102 degrees

Please find attached an image of a pentagon. A similar question was answered here: https://brainly.com/question/2906515

Pls help i give 5 stars and crown ​

Answers

Step-by-step explanation:

10 %, 7/10 and 0.2 are the three numbers that add up to 1

0.1 + 0.7 + 0.2 = 1

Answer:

1/4 = 0.25

0.5

10% = 0.1

7/10 = 0.7

15% = 0.15

0.2

10% + 7/10 +0.2 = 1

A local flower shop advertises that 4 out of every 5 flower seeds will grow. If Janie plants 40 of these flower seeds in her garden, how many seeds can she expect to grow?

Answers

32 seeds
4:5 ratio
4x2 | 5x2
8:10
40/10 = 4
8 x 4

2 Divided by 1 / 5. Rlly need help on this

Answers

Answer:

The answer will be 10

Step-by-step explanation:

2/1/5=10

Which postulate or theorem can be used to prove the triangles congruent?

a) ASA
b) SAS
c) AAS
d) SSS
e) cannot be proved congruent

Answers

Answer:

D) SSS

Step-by-step explanation:

They have 3 sides that are congruent to each other. We don't know anything about the angles.

2k+5=21 answer this problem plz

Answers

Answer:

k=8

Step-by-step explanation:

2k+5=21  (-5 on both sides to get rid of +5)

2k=16      (divide by 2 to get rid of that 2 in front of K)

k=8

Which table matches the equation y= 8x + 20

Answers

Answer:

The first table

Step-by-step explanation:

x         y

7         76

10      100

13       124

16      148

HOPE THIS HELPS :)

The answer is 20 I had this question
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