If the LCM and the HCF of two numbers are 9 and 3, respectively, what are the numbers?

Answers

Answer 1
Answer:

Hey  There!

Answer:

  • HCF = 9  (With the two numbers) - 18,9
  • LCM = 3  (with the two numbers) -  6,9

Step-by-step explanation:

HCF

If HCF is  ''9''that means that ''9'' is the divisible of two numbers.

So 18 and 19 can be divided by 9 and that's the highest divisible for both factors.

And always remeber the answer is a ''Prime factor.''

LCM

If LCM is ''3'' that means ''3'' is the lowest common multiple out of  two numbers.

Hope this helps!

Have a nice Day!:)


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A crate has the shape of a rectangular prism. The area of the base of the crate is 252 square inches. The length of the crate is 4 inches greater than the width. The height is 2 inches less than the width.What is the volume of the crate in cubic inches?

Answers

Answer:

3024 in^3

Step-by-step explanation:

let width=x

length=x+4

height=x-2

A=W×L

252=(x)(x+4)

252=x^2 +4x

0=x^2 +4x -252

use quadratic formula

x=14

W=14

L=18

H=12

V=W×L×H

V=(14)(18)(12)

V=3024 in^3

If the ratio of boys to girls at the school is 2:5 and there are 40 boys how many girls are there?

Answers

The total number of students in school is 140 and number of girls at the school is equal to 100.

What do you mean by ratio ?

Ratio is the quantitative relationship between two values indicating how frequently one value contains or is contained within the other.

It is given that the ratio of boys to girls at the school is 2:5.

Let's assume the total number of students in school is x.

We now need to find the number of girls in the school but before that we must try to find the total number of students in the school.

Sum of ratios = 2 + 5 = 7

It is given that there are 40 boys in students.

2/7 of the total number of students are boys.

i.e., the expression can be written as :

2x / 7 = 40

2x = 40 × 7

2x = 280

x = 140

The total number of students in school is 140.

So , the number of girls in school is :

= 140 - 40

= 100

There are 100 girls in the school.

Therefore , the total number of students in school is 140 and number of girls at the school is equal to 100.

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Answer:

100 girls

Step-by-step explanation:

The ratio of boys : girls is 2 : 5.

In other words, boys are 2 parts of the school while girls are 5 parts of the school.

Since there are 40 boys, 2 parts of the school is 40. Thus:

2p = 40\np = 20

1 part is 20.

Since there are 5 parts girls, there are

5p = 5*20 = 100

100 girls.

Answer: 100 girls

A company is giving gifts to its employees. Employees can choose a gift card, hat, or candy. The table shows the gift chosen by 150 employees. Type of Gift Number of EmployeesGift Card
90

Hat
10

Candy
50

Based on this data, about how many employees will choose a gift card if there are 600 employees choosing gifts?

Enter your answer in the box.

Answers

Answer:

360 Employees

Step-by-step explanation:

Number of employees who chose gift card / Number of total employees

= 90 / 150

Now, we have to figure out in x / 600 when the x represents the number of employees choosing gift card when there are 600 employees in total.

90 / 150, x / 600

-> cross multiply

54,000 = 150x

Therefore 360 = x.

another way:

(multiply the total number of employees in both ratios) 600 / 150 = 4

Now we multiply 4 by 90 (number of employees choosing gift card)

4*90 = 360

Final answer:

Based on the proportion of employees who chose a gift card in the provided data (60%), you could expect about 360 out of 600 employees to choose a gift card if the same proportion holds.

Explanation:

The given data details that out of 150 employees, 90 have chosen a gift card as a gift. This means that around 60% of the employees have chosen a gift card (90/150 = 0.6 or 60%). To determine how many out of 600 employees might choose a gift card, given the same proportion, one would need to multiply 600 by 60%.

Step 1: Calculate the proportion of employees that chose a gift card. This is 90 out of 150, or 90/150 = 0.6 (60%).

Step 2: Multiply the total number of employees by the proportion who chose a gift card. This is 600 * 0.6 = 360.

Therefore, you could reasonably expect that about 360 out of 600 employees might choose a gift card as their gift if the same proportion holds.

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In one full day, a kudzu vine can grow 15 inches in length. How many inches per hour is this?

Answers

1.66666666667 inches per hour

Answer:

0.625

Step-by-step explanation:

15 divided by 24 which equals 0.625

A 3 ft by 5 ft wooden board has three equally sized circles cut out of it. A penny will be randomly tossed onto the board. What is the probability the penny will fall through any of the holes?

Answers

Answer:

Pr = 15.71% ≈ 16%

Step-by-step explanation:

Let's begin by listing out the data given unto us, we have:

Length of board = 3 ft, Width of board = 5 ft,

Area of board = Length * Width = 3 * 5 = 15 ft²,

Diameter of each circle (d) = 1 ft; r = d ÷ 2

⇒ r = 1 ÷ 2 = 0.5 ft

Area of each circle = πr² = π * 0.5² = 0.785 ft²

Area of the three circles = 3πr² = 2.356 ft²

Probability = favourable outcome ÷ Total outcome

Probability of the penny falling into the hole = area of the three circles ÷ area of board

Pr = 2.356 ÷ 15 = 0.1571

Converting to percentage, we multiply by 100

Pr = 0.1571 * 100

Pr = 15.71% ≈ 16%

Therefore, the probability of the penny falling into the hole is 15.71% ≈ 16%

Is this one correct?​

Answers

Answer:

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Step-by-step explanation:

It’s f .................