What is the h.c.f of 124 and 112

Answers

Answer 1
Answer: 112 = 24 * 7 
124 = 22 * 31 
Take all the common prime factors, by the lowest powers.
gcf, gcd (112, 124) = 22 = 4

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For this cylinder the radius r = 6.8 inches and the height L = 14.2 inches. Which is the BEST estimate for the volume? (Use π = 3.14)

Answers

Volume of the sphere will be calculated as 2061.74912 inches cube.

How to calculate volume of the cylinder?

The volume of the cylinder can be estimated by the product of area of the base of the cylinder and height of the cylinder.

V=πr²L

where L is the height of the cylinder and r is radius of the base of the cylinder.

radius r=6.8 inches

the height L=14.2 inches

volume of cylinder

=πr²L

=π(6.8)²14.2

=3.14(6.8)²14.2

=2061.74912 inches cube

Therefore, volume of the sphere will be calculated as 2061.74912 inches cube.

Learn more about the volumeofcylinder

here: brainly.com/question/9554871

#SPJ2

Answer:

2062.79 inches cubed

Step-by-step explanation:

Formula- πr2h

=  π×6.82×14.2

=  656.608π

=  2062.7948690883 inches cubed

In a class of 24 students 13 students sold over 150 raffle tickets each and the rest of the class sold about 60 raffle tickets each. The class goal was to sell 2000 tickets. Did they reach their goal? Explain.

Answers

Yes. 
First we need to find out what the number of the rest of the class is. 24-13 is 11. So since 13 kids sold 150 each, we would need to multiply them, that would give us 1950. Then we need to find out the total of the 11 kids that sold 60 each. 60 times 11 is 660. Then we need to add 1950 and 660. That gives us 2610 tickets. That is more than 2000, so they reach their goal.

Simplify the expression

14+2y+3-6y

Answers

14+2y+3-6y=
14+3+2y-6y=
17-4y

Answer:

Step-by-step explanation:

How do you simplify an expression?

Here are the basic steps to follow to simplify an algebraic expression:

remove parentheses by multiplying factors.

use exponent rules to remove parentheses in terms with exponents.

combine like terms by adding coefficients.

combine the constants.

Which coordinates will best represent point A'?A. (-2, 5)

B. (4, -3)

C. (-2, -3)

D. (4, 5)​

Answers

Answer: OPTION A.

Step-by-step explanation:

You know that the rule that will be used for the translation of the figure ABC is:

(x,y)(x-3,\ y+4)

You can observe in the figure that the coordinates of the point A is this:

A(1,1)

Then, in order to find the coordinates that will best represent point A', you need to subtract 3 from the x-coordinate of the point A and add 4 to the y-coordinate of the point A:

A'(1-3,\ 1+4)\n\nA'(-2,5)

Answer:

A. (-2,5)

Step-by-step explanation:

The figure ABC is translated to A'B'C' by the rule (x-3, y+4)

The Image of the triangle will therefore be as follows:

A' (1-3,1+4)

B'(2-3,5+5)

C'(3-3,2+5)

The vertices will thus be A'(-2,5), B'(-1,10) and C'(0,7)

Thus the correct answer will be A. (-2,5)

on a test, 1 point is given for each correct answer and 1 point is deducted for each incorrect answer. On the test Harold answered 34 items correctly and 6 items incorrectly. What two numbers can be used to find Harold's total score

Answers

Forgive me if I'm wrong, but here goes:

On Harold's test, he scores 34 points for his correct answers, and -6 points for incorrect answers. He would have gotten 28 points, but that's not the question.

34 is the first number, and I believe the next one is -6. 
6 is negative because 1 point is deducted for each incorrect answer, which also means 1 point is subtracted for every incorrect answer. Because the question is asking for numbers and not an equation or expression, the subtraction is expressed as a negative symbol, hence negative six.

Hope I helped!

By selling a chair for Rs. 1440 a shopkeeper loses 10%.At what price did he buy it?

Answers

Selling price of the chair = 1440 rupees
Percentage of loss made by the shopkeeper = 10%
Let us assume the price at which the shopkeeper bought the chair = x
Then
90% * x = 1440 rupees
(90/100) * x = 1440 rupees
9x/10 = 1440 rupees
9x = 1440 * 10 rupees
9x = 14400 rupees
x = 14400/9 rupees
   = 1600 rupees
So the price at which the shopkeeper bought the chair was 1600 rupees. I hope the procedure is clear enough for you to inderstand.
1600 rupees. Really hope this answer helps!