a=2x3^4x5 b=2^3x3^2x5^5 write down the night common factor of A and B PLEASE HELP ASAP PLEASEE!

A=2x3^4x5 B=2^3x3^2x5^5 Write Down The Night Common Factor Of A And B PLEASE HELP ASAP PLEASEE!

Answers

Answer 1

Answer:

The HCF of [tex]a=2^1 \cdot 3^4 \cdot 5^1[/tex] and [tex]b = 2^3 \cdot 3^2 \cdot 5^2[/tex] is [tex]90[/tex].

Step-by-step explanation:

To calculate the HCF of two numbers given their prime factorization, we take the lowest exponent of every prime when comparing the two numbers.

So the HCF of [tex]a=2^1 \cdot 3^4 \cdot 5^1[/tex] and [tex]b = 2^3 \cdot 3^2 \cdot 5^2[/tex] is [tex]2^1 \cdot 3^2 \cdot 5^1 = 90[/tex].


Related Questions

The circumference of a circular garden is 106.76 feet. What is the radius of the garden?

Answers

Answer:

16.9659

Step-by-step explanation:

you have to divide the circumference by pi, then you will have your diameter, after that you have to divide the diameter by 2 to get your radius

a car cost $20000 when it was purchased. the value of the car decreases by 8% each year. find the rate of decay each month and select the correct answer below.

-0.6667%
-0.81%
-0.0067%
-0.6924%

Answers

I think its -0.6667 because divide 8 by 12 and you get that

2. In the middle school band, there is 1 oboe for every 7 clarinets. Write three equivalent ratios to compare the oboes to the clarinets

Answers

1/7, 2/14, 3/21

I took the test

The three equivalent ratios to compare the oboes to the clarinets are,

⇒ 2 : 14

⇒ 3 : 21

⇒ 4 : 28

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

In the middle school band, there is 1 oboe for every 7 clarinets.

Here, The ratio of the oboes to the clarinets is,

⇒ 1 : 7

Hence, Three three equivalent ratios to compare the oboes to the clarinets are,

⇒ 1 : 7

⇒ 1 / 7

⇒ 1×2 / 7×2

⇒ 2 / 14

And, 1 : 7

⇒ 1×3 / 7×3

⇒ 3 / 21

And, 1 : 7

⇒ 1×4 / 7×4

⇒ 4 / 28

The three equivalent ratios to compare the oboes to the clarinets are,

⇒ 2 : 14

⇒ 3 : 21

⇒ 4 : 28

Learn more about the ratio visit:

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What is a formula that can be used to find the area of one triangular section of the door how do you know the formula will work?

Answers

Answer:

[tex]Area = \frac{1}{2} L B[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the formula of one of the triangular sections

From the attachment, we have that:

[tex]L = Length[/tex]

[tex]B = Height[/tex]

The area of the triangle is:

[tex]Area = \frac{1}{2} * L * B[/tex]

[tex]Area = \frac{1}{2} L B[/tex]

How to know the formula works?

From the attachment, we can see that the rectangle is divided into two equal triangular sections.

The area of the rectangle is:

[tex]Area = L* B[/tex]

[tex]Area = LB[/tex]

Because the rectangle is divided into two equal triangular sections.

This implies that, the area of one of the triangular sections is half the area of the rectangle.

So:

[tex]Area(Triangle) = \frac{1}{2}Area(Rectangle)[/tex]

Substitute LB for the area of the rectangle

[tex]Area(Triangle) = \frac{1}{2}LB[/tex]

By comparison:

[tex]Area(Triangle) = \frac{1}{2}LB[/tex] and [tex]Area = \frac{1}{2} L B[/tex] are the same

Please tell me the surface area of a circle with a volume of 36 and please provide the formula.

Answers

Answer:

Step-by-step explanation:

volume of sphere = 4πr³/3 = 36π

r³ = 27

r = ∛27 = 3 ft³

surface area of sphere = 4πr² = 36π ft²

Ellen has a coupon for 1.55 off a loaf of bread. The regular price of bread is 4.63. The loaf is cut into 14 slices. What is the price per slice if Ellen uses her coupon?

Answers

Answer:

0.22 or 22 cents

Step-by-step explanation:

4.63 (original bread price) - 1.55 (coupon) = 3.08

divided by 14 slices of bread is 22 cents

Answer:

$0.22 per slice

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Apply the coupon to the loaf of bread first. $1.55 off a loaf of bread means subtracting this amount from the original price of bread.

$4.63 - $1.55 = $3.08

If the loaf is cut into 14 slices, we should divide the loaf of bread's new price by 14.

$3.08 / 14 = $0.22

The price per slice if Ellen uses her coupon is $0.22 per slice.

Thank you L for helping me w/ this question :)

Sneezie's Tissues currently packages
tissues in a box shaped like a
rectangular pyramid with length 9
centimeters, width 5 centimeters, and
height 4 centimeters. The design team
would like to change the box to a
rectangular prism with the same base
and height. How many times greater
will the volume be when the box is
changed?

Answers

Answer:

3 times

Step-by-step explanation:

Volume of the pyramid:

V = lwh/3

Volume of the prism:

V = lwh

Since all dimensions remain as is, the volume of the prism is:

lwh / (lwh/3) = 3 times greater

Sonya added two rational expressions, and then simplified her answer. The simplified answer was x + 1. What are the missing values in her original expression?

Answers

Answer:

[tex]a = 2[/tex] and [tex]b = 4[/tex]

Step-by-step explanation:

Given

The expression is:

[tex]\frac{x^2 + ax - 4}{x + 2} + \frac{x + b}{x + 2} = x + 1[/tex] --- missing from the question

Required

Find a and b

Take LCM

[tex]\frac{x^2 + ax - 4+x + b}{x + 2} = x + 1[/tex]

Cross Multiply

[tex]x^2 + ax - 4+x + b = (x+2)*(x + 1)[/tex]

Open brackets

[tex]x^2 + ax - 4+x + b = x^2+2x + x + 2[/tex]

[tex]x^2 + ax - 4+x + b = x^2+3x + 2[/tex]

Collect Like Terms

[tex]x^2 + ax +x + b- 4 = x^2+3x + 2[/tex]

[tex]x^2 + (a +1)x + b- 4 = x^2+3x + 2[/tex]

By comparing the coefficients:

[tex]a + 1 = 3[/tex]

[tex]a = 3 - 1[/tex]

[tex]a = 2[/tex]

[tex]b - 4 = 2[/tex]

[tex]b = 4[/tex]

Hence,

[tex]a = 2[/tex] and [tex]b = 4[/tex]

Answer:

a = 2

b = 6

Edg 2021

HELP FAST DUE SOON Find the area of the parallelogram

Answers

Answer:

12 u^2

Step-by-step explanation:

The person below I think got the answer right.

The formula is area= base x height or a=bxh

Answer:

12u^2

Step-by-step explanation:

In one of the boxes, it tells you the formula for finding the area of a parallelogram. Area=base x height or A = b x h. The base is 6 units and the height is 2 units.

A = b x h

12 = 6 x 2

URGENT pls help will mark brainliest, 40 points

Answers

Answer:

14answer 3

15answer1

16answer1

please help!!!!!!!!!!

Answers

Answer:

5x+3

Step-by-step explanation:

Answer:

5x + 3 = y

Step-by-step explanation:

y represents the answer

3 more means +3

Product is the answer when two or more values are multiplied together.

So, three more than the product of 5 and x would be 5x + 3 = y

Describe all numbers x that are at a distance of 4 from the number 9. Express this using absolute value notation.

Answers

Answer:

|x - 9| = 4

Step-by-step explanation:

All numbers x that are at a distance of 4 fro the number 9

Given two numbers a and B, the absolute distance between them is written as :

|a - b| = c

Hence all numbers x at distance of x from 9

|x - 9| = 4

{x : |x - 9| = 4}

willie has 4 treasure chests which have a combined weight of 240 pounds. If each chest weighs at least 20 pounds what is the heaviest possible weight of one of the chests?

A. 177
B. 180
C. 217
D. 234

Answers

Answer:

B. 180

Step-by-step explanation:

There is a condition that each chest needs to be at least 20 pounds and we can use that to our advantage. Because we want one of the boxes to be really heavy, we need the other three to be really light. Let's set the heavy box as variable y. Set each of the other three boxes equal to 20. Because the combined weight is 240, then the equation so far is 240 = (20*3)+y.

Now, we can solve for y. 240-60 = 180, so the heaviest box has to be 180 lb.

-5(-1.6z+2.4)+7.4z
Simplify the expression to create an equivalent expression.

Answers

Answer:

15.4z-12

Step-by-step explanation:

15.4z-12 is the correct answer

PLZ HELP I NEED IT VERY MUCH THANK YOU BRAINLIEST AND % STARS THANK YOIU

Answers

1. similar bc there is 180° in a triangle

180 - (122+30) = y
y = 28

180 - (122-28) = x
x = 30

so it is similar by AAA

decrease £220 by 15%

Answers


220, percentage decreased by 15% (percent) of its value = 187

If we decrease £220 by 15% then it would be £187

What is percentage?

"It is a number or ratio that can be expressed as a fraction of 100."

To find the percent of a number:

x percent of number p is,

x% of p = p × (x/100)

For given example,

We need to decrease £220 by 15%

First we find the 15 percent of £220

15 percent of £220 is,

⇒15% of £220 = 220 × (15/100)

⇒15% of £220 = 220 × 0.15

⇒15% of £220 = £33

Now, we decrease £220 by 15%,

£220 - £33 = £187

Therefore, if we decrease £220 by 15% then it would be £187

Learn more about percent here:

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The Sides Of A Quadrilateral Are Shown Below . Express The Perimeter In Terms Of X .

Answers

Answer:

C

Step-by-step explanation:

Because the quadruple x is equal to 9

Without using a calculator, choose the statement that best describes the square root of
174.

Answers

Answer:

The square root of 174 with one digit decimal accuracy is 13.1.

Step-by-step explanation:

Max has three pieces of oak trim that are 7 inches, 11 inches, and 18 inches long. He wants to use them to make a triangular base for a candleholder. Will the pieces make a triangle? Explain your answer.​

Answers

Answer:

No

Step-by-step explanation:

Use triangle inequality theorem, which states

"The sum of the lengths of any two sides of a triangle is greater than the length of the third side."

The sum of two sides compared to the remaining side:

7 + 11 = 18 = 18 - not ok7 + 18 = 25 > 11 - ok11 + 18 = 29 > 7 - ok

The sum of two sides is equal to the third side. This makes it impossible to make a triangle. Therefore the answer is no.

Nov 19 F
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a) Use the * tool to plot the point
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b) Write down the coordinates of the
midpoint of AB.
4 -3 -2-10
- 1
1 2 3 4
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Total marks: 2​

Answers

Answer:

l.mao you could just send a picture, it's a bit hard to actually answer any of the questions if it's jam-packed like that

The equation -3x2 + 12x = 10 is rewritten in the form of -3(x - p)2 + g = 0. What is the value of q?
A.-22
B.2
C.22
D.134

Answers

Answer:

A

Step-by-step explanation:

-3(x-p)2+g=0

-3x2+12x=10

-3(x2-4x)=10

-3(x2-4x+4)=10+12

x2-4x+4 = (x-2)2

-3(x-2)2=22

-3(x-2)2-22=0

q = -22

Given a polynomial and one of its factors, find the remaining factors of the polynomial. x^4 + 2x^3 – 8x – 16; x + 2

Answers

Answer:

The other factors are: [tex](x-2)[/tex] and [tex](x^2+2x+4)[/tex]

Step-by-step explanation:

Given

Polynomial: [tex]x^4 + 2x^3 - 8x - 16[/tex]

Factor: [tex]x + 2[/tex]

Required

Find other factors

[tex]x^4 + 2x^3 - 8x - 16[/tex]

Group into two

[tex]x^4 + 2x^3 - 8x - 16 = (x^4 + 2x^3) - (8x + 16)[/tex]

Factorize:

[tex]x^4 + 2x^3 - 8x - 16 = x^3(x + 2) -8 (x + 2)[/tex]

Factor out common term

[tex]x^4 + 2x^3 - 8x - 16 = (x^3 -8)(x + 2)[/tex]

Rewrite [tex]x^3- 8[/tex] as [tex]x^3 + 2x^2 - 2x^2+ 4x - 4x - 8[/tex]

[tex]x^4 + 2x^3 - 8x - 16 = (x^3 + 2x^2 - 2x^2+ 4x - 4x - 8)(x + 2)[/tex]

Rearrange the terms

[tex]x^4 + 2x^3 - 8x - 16 = (x^3 + 2x^2 + 4x - 2x^2 - 4x - 8)(x + 2)[/tex]

Factorize

[tex]x^4 + 2x^3 - 8x - 16 = (x(x^2+2x+4)-2(x^2+2x+4))(x + 2)[/tex]

Factor out [tex](x^2+2x+4)[/tex]

[tex]x^4 + 2x^3 - 8x - 16 = (x-2)(x^2+2x+4)(x + 2)[/tex]

So, the other factors are: [tex](x-2)[/tex] and [tex](x^2+2x+4)[/tex]

what is the slop of (5,2) and (-6,3)​

Answers

Answer:

m = - [tex]\frac{1}{11}[/tex]

Step-by-step explanation:

Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4 kg. The total weight of Carl's baggage is 35kg
Write an equation to determine the weight, w, of each of Carl's checked bags.
And the weight of each of Carl's check bags

Answers

Answer:

(35 - 4)/2 = w and 15.5kg

Step-by-step explanation:

To get the weight of both bags you would have to first subtract the backpack's weight from the total weight. 35 - 4 = 31. Now divide by 2 to get the weight of one bag. 31/2 = 15.5. Each bag weighs 15.5 kg

Jack and Jane are married and both work. However, due to their responsibilities at home, they have decided that they do not want to work over 65 hours per week combined. Jane is paid $14 per hour at her job, and Jack is paid $10 per hour at his. Neither of them are paid extra for overtime, but they are allowed to determine the number of hours per week that they wish to work. If they need to make a minimum of $850 per week before taxes, what is the maximum amount of hours that Jack can work per week according to these limits?

Answers

By setting up a system of equations we can easily solve this problem. Let's denote Jane's working hours with x and Jack's working hours with y. Since they don't want to work more than 65 hours, the first equation is x+y=65. The second equation is 14x+7y=770. By solving this system of equation , we find that y=20 hours, which is Jack's maximum working hours. 

x - 8 = 40 solve in word form

Answers

Answer: 48

Step-by-step explanation:

add 8 to both sides

-8 and 8 both cancel out and 40 and 8 add to 48

Please help!!!!
Which point is on the graph of f(x) = 6*?
O A. (1,6)
O B. (6,1)
O C. (0,6)
O D. (0,0)

Answers

C is the answer Because f(x) is a horizontal line on the 6

Answer: A: (1, 6)

Step-by-step explanation:

Mrs. Norman has 40 pairs of shoes. 6/8 of her shoes are sneakers. How many of her shoes are sneakers?

Answers

Answer:

30 of her shoes are sneakers

Step-by-step explanation:

40 divided by 8 = 5

5 x 6 = 30

hope this helps!

Answer:

30 of her shoes are sneakers

Step-by-step explanation:

you have to divide 40 by 8 which is 5 and 5 x 6 is 30 hope you have a great day

I need this questions done for my class, we went over this but I forgot. Can you guys say the answer and explain so I don’t forget again? Thank you so much!

Answers

1) 2/5 x 3 =?

Since we cannot possibly cancel the denominators, let us multiply 2 and 3.

Answer will become, 6/5.

2) 2/3x3 =?

We can cut 3 and 3.

Answer will become, 2.

3) 2/5 x 3=?

This is a repeated question and the answer remains the same as the 1st question's answer, 6/5.

4) 3/2 x 3=?

We cannot cancel the denominators, let us multiply 2 and 3.

Answer is, 9/2.

A boat travels due north for 20km and then turns and travels due east for 7km. How far away is the boat from where it started?

Answers

Answer:

21

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

(20)^2 + (7)^2 = [tex]c^{2}[/tex]

400 + 49 = [tex]c^{2}[/tex]

c= [tex]\sqrt{449}[/tex] = 21.1 ~ 21

(hope its right)

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