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

(3)
Lea wants to make two pillows for her new couch. She needs 3 square yards of fabric for the first pillow and 1, square
yards of fabric for the second pillow. Lea wants to know how much fabric she will have to buy for both pillows.
Which expression represents the total number of square yards of fabric she needs for both pillows?

Answers

The expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

let

x = first pillow

y = second pillow

fabrics needed for first pillow = 3 yards

fabrics needed for second pillow = 1 yards

z = Total square yards needed

The equation:

3x + y = z

Therefore, the expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

Learn more about equation:

https://brainly.com/question/4916384

Answer:The expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

let

x = first pillow

y = second pillow

fabrics needed for first pillow = 3 yards

fabrics needed for second pillow = 1 yards

z = Total square yards needed

The equation:

3x + y = z

Therefore, the expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

Step-by-step explanation:

how to find the side of a triangle given one side and one angle calculator

Answers

Answer:

Check below :)

Step-by-step explanation:

If you are asked to find a side of a triangle using a given side and an angle. You should check if it is a right-angled triangle, if it is then you can use the SOH, CAH, TOA which uses the formulae as shown:

sinΘ= [tex]\frac{opposite}{hypotenuse}[/tex]

cosΘ= [tex]\frac{adjacent}{hypotenuse}[/tex]

tanΘ= [tex]\frac{opposite}{adjacent}[/tex]

(Search them online for detailed explanation about trigonometry on right-angled triangles)

If it is not right-angled triangles, you need to double-check if there is another side given or angle given to use the sine rule or cosine rule

Sine rule: 2 angles and opposite side/ 2 sides and opposite angle

Cosine rule: involves 3 sides and one angle

write the tangent of ∠T as a fraction

Answers

Answer:

[tex]\tan \angle T = \dfrac{SR}{TS} = \dfrac 43[/tex]

Step-by-step explanation:

A scientist is working with 0.9 of gold wire. How long is the wire in millimeters?

Answers

The answer is 900milimeters

Answer:

9000 is your answer to this question hope it helps

Step-by-step explanation:

9000 es su respuesta a esta pregunta espero que ayude

Hilda adds 5 to a number, then multiplies the sun by -2. The result is 6. Write and solve an equation to find the number, x. What is the number?

Answers

Answer:

-8

Step-by-step explanation:

-2*(x+5)=6

Divide both sides by -2

x+5=-3

x=-3-5

x=-8

Heather works 40 hours a week and she earns $11. 50 per hour. When Heather works over 40 hours, her pay is 1. 5 times her hourly pay. How much does Heather earn if she works 46 hours in one week?.

Answers

11.5 x 40 is 460
11.5 x 1.5 is 17.25
17.25 x 6 is 103.5
103.5 + 460 is 563.5
the answer is $563.50

The amount that Heather earns if she works 46 hours in one week is; $563.5

Amount she earns per hour if she works for 40 hours a week = $11.5 per hour

If she works over 40 hours, her hourly pay is 1.5 times the previous rate.

Thus;

Amount she earned for 40 hours is;

11.5 × 40 = $460

Amount she earned for the 6 extra hours to make it 46 hours is;

1.5 × 11.5 × 6 = $103.5

Total amount she earned for the 46 hours = $460 + $103.5 = $563.5

Read more on proportion word problems at; https://brainly.com/question/160640

how many roots does the quadratic function h(x)+=x2^2-3x+6 have

Answers

The quadratic function h(x) = x² - 3x + 6 has 2 roots.

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

Polynomials are classified based on degree as linear, quadratic, cubic etc.

A quadratic polynomial has a degree of 2, hence it has only 2 roots.

The quadratic function h(x) = x² - 3x + 6 has 2 roots.

Find out more on polynomial at: https://brainly.com/question/2833285

I'M MARKING BRAINLIEST PLEASE HELPPPPP

Answers

Answer:

option a is the correct answer

Step-by-step explanation:

bye

Is the system of equations consistent and independent, consistent and dependent, or inconsistent? y=4xâ’4y=â’4x 4 Select the correct answer from the drop-down menu.

Answers

The system of equations is consistent and dependent and it can be determined by using the properties of the equation.

Given that,

System of the equation,

[tex]\rm y=4x-4\\y=-4x+4[/tex]

We have to determine,

The system of equations is consistent and independent, consistent and dependent, or inconsistent.

According to the question,

When a system has at least one solution, it's called consistent. When it has only one solution, it's called independent.

System of the equation,

[tex]\rm y=4x-4\\y=-4x+4[/tex]

On adding both the equation,

[tex]\rm y+ y=4x-4+(-4x+4)\\\\2y = 4x-4-4x+4\\\\2y = 0\\\\ y = 0[/tex]

Substitute y = 0 to evaluate the value of x.

[tex]\rm y = 4x-4\\\\(0)= 4x-4\\\\ 4x=4\\\\ x = \dfrac{4}{4}\\\\x = -1[/tex]

The solution of the equation is (1, 0).

Hence, The system of equations is consistent and dependent.

To know more about the System of equations click the link given below.

https://brainly.com/question/12895249

assume that a procedure yields a geometric distribution where the probability of success is 90%. use the geometric probability formula to find the probability that the first success occurs on the second trial.
0%
4%
5%
9%

Answers

The final answer is 9 percent

Solve. \sqrt{8x} -8-8=4

Answers

Answer:

x=50

Step-by-step explanation:

Let's solve your equation step-by-step.

√8x - 8 - 8 = 4

√8x - 16 = 4

Step 1: Add 16 to both sides.

√8x - 16 + 16 = 4 + 16

√8x = 20

Step 2: Solve Square Root.

√8x = 20

8x = 20^2 ( Square both sides )

8x = 400

8x/8 = 400/8 (Divide both sides by 8)

x = 50

HOPES THIS HELP :)

ASAP
Jeremy is solving this system of equations algebraically. Which equation could be a step in his work?
y = 3x + 1
4x - 3y = -13

Answers

Answer:

3x+14x

Step-by-step explanation:

Answer:

 C

Step-by-step explanation:

Find an ordered pair (x, y) that is a solution to the equation 3x-y=4

Answers

Answer:

(0,-4)

Step-by-step explanation:

3(0) - (-4) = 4

0 + 4 = 4

Kameron wrote the following equation:

4x - (x - 3) = 18

Using the distributive property, what would her next step be?

Answers

Answer:

hope it helps you..........

solve 2y - 18 = -26 for y

Answers

Answer:

y=-4

Step-by-step explanation:

2y-18=-26

    2y=-26+18

        =-8

      y=-8÷2

        =-4

There are 70 seats on a train. 30% of the seats are empty. How many empty seats are there
on the train?

Answers

Answer:

21

Step-by-step explanation:

70/10=7

So 7 people are 10% of the train.

10*3=30

7*3=21

21 empty seats

Answer

21

Step-by-step explanation:

please help with this

Answers

Answer:

[tex]y = \frac{1}{8} x - 3[/tex]

Step-by-step explanation:

Formula for straight lines:

[tex]y = mx + b[/tex]

where m = slope, b = constant

Given:

y-intercept = -3 (0, -3)

m = ⅛

Substitute into formula to find b.

[tex] - 3 = \frac{1}{8} (0) + b \\ - 3 = 0 + b \\ b = - 3[/tex]

Substitute b into original formula

[tex]y = mx + b \\ y = \frac{1}{8} x + ( - 3) \\ y = \frac{1}{8} x - 3[/tex]

Can anyone help me with my homework

Answers

Answer:

x = the number

Step-by-step explanation:

15.) 2x + 9 = 25

16.) 3x - 6 = 21

17.) 7x = 12 + 3x

18.) 4x = 18 + x

19.) 2x + 24 = 8x

20.) 30 - x = 4x

X - 5V + 17 = 0 2x+ V + 1 = 0

Answers

Answer:

x= -[tex]\frac{10}{3}[/tex], v = [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

x= - 10/3, v = 7/3

jus so u want to copy so u don't have to type ur self

m
Which of the
following proves
these triangles
are congruent?
B
SSA
SAA
neither
Help plz

Answers

I believe that it’s SSA.

Nguyen played a game in which he could either lose or gain points each round. at the end of 7 rounds, he had -8 points. After one more round,he had 7 points. Express the change in points in the most recent round as an integer

Answers

Answer:

I think the answer would be +15.

Step-by-step explanation:

The change in points in the most recent round as an integer is given by 15 points.

What is a mathematical function, equation and expression?                function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is Nguyen played a game in which he could either lose or gain points each round. at the end of 7 rounds, he had -8 points. After one more round, he had 7 points.

Assume that the change in points in the most recent round as an integer is given by [ΔR].

At -

R{7} = - 8 points

R{8} = 7 points

ΔR = R{8} - R{7}

ΔR = 7 - (- 8)

ΔR  = 7 + 8

ΔR  = 15 points

Therefore, the change in points in the most recent round as an integer is given by 15 points.

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Linda took her son to the batting cages. For the first 5 minutes she paid $10 and for
each additional minute she paid $.50. If Linda, paid $22 for her son to go to the batting
cages, how much time were they there for?

Answers

Answer:

29 minutes

Step-by-step explanation:

15a. Cindy can make $100 in four days babysitting. At that rate, how many day will it take
her to make $425.

Answers

Answer:

4.2

Step-by-step explanation:

in need of help. plz ​

Answers

The maximum degrees in a hexagon is 720 so minus all of the values you see on the screen to 720

I’m getting really stuck on these questions, help?

Answers

Answer:

m<-1 and 13/15

Step-by-step explanation:

How to solve this question?

Answers

Answer: -3

Step-by-step explanation:

The axis of symettry is basically what cuts the parabola perfectly in half. In this case draw a horizontal line right through -3 on the x-axis

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

A parabola's axis of symmetry is located at the line [tex]x=h[/tex] and essentially divides the parabola in half. The vertex is [tex](-3,4)[/tex] so the axis of symmetry is located at the line [tex]x=-3[/tex]

A 26 foot ladder is set against the side of a house so that it reaches up 24 feet. If Mila grabs the ladder at its base and pulls it 12 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 12 ft.) Round to the nearest tenth of a foot.

Answers

Answer:

13.9 ft

Step-by-step explanation:

22 - (+12) - (-4) + (-6)​

Answers

Answer:

8

Step-by-step explanation:

+- = --- = ++- = -++ = +

22-12+4-6 = 8

22 - (+12) - (-4) + (-6) = 22 - 12 + 4 - 6 = 8

ANSWER: 8
Ok done. Thank to me :>

How can we use the distributive property to find an expression equivalent to 4(5−3x)? Place the steps in order.

Answers

Answer:

1-12-x-+1

Step-by-step explanation:

so you divided 2 by 4 then 1 after that 12 and boom

The equivalent expression for 4(5−3x) is ( 20 - 12x).

What is distribution property?

This states that multiplying the sum of two or more addends by a number produces the same result as multiplying each addend separately by the number and then adding the products together.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the expression is 4(5−3x). The expression by distribution property will be solved as,

E =  4(5−3x)

Multiply by 4 in the whole equation,

E = (  4 x 5 - 4 x 3x )

E = 20 - 12x

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The population proportion for a certain characteristic is 0.28. In a sample of
100 people, 25 had that characteristic.
Which equation correctly describes the point estimate?
A. P = 0.28
B. p = 0.28
O c. p = 0.25
D. p = 0.25

Answers

Answer:

B. p= 0.25

Step-by-step explanation:

Pls give brainliest if helps

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