MATHEMATICS MIDDLE SCHOOL

What is the GCF of 24,44,52

Answers

Answer 1
Answer: The greatest common factor (GCF) of 24, 44, and 52 is: 4

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 44: 1, 2, 4, 11, 22
Factors of 52: 1, 2, 4, 13

The common factors between them are 1, 2, and 4, but 4 is the greatest, making it the GCF. 

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A plane at an altitude of 20000 feet starts to descend for landing after flying for six hours. The entire flight time was 6 hours 40 minutes. Determine the average rate of descent of the plane

Answers

Check the picture below.

so, let's see, the plane departs from (0, 0), the origin, goes up to 20000 feet, sticks around flying for 6 hours, 6hrs = 3600 minutes, (6*60).

so the plane's descent starts off at the point (3600, 20000) down to (3640, 0) as you see in the picture, keeping in mind that average rate of change = slope.

\bf (\stackrel{x_1}{3600}~,~\stackrel{y_1}{20000})\qquad (\stackrel{x_2}{3640}~,~\stackrel{y_2}{0}) \n\n\n slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-20000}{3640-3600}\implies \cfrac{-20000}{40} \n\n\n \cfrac{-5000}{1}\cfrac{ft}{minute}\implies -5000(ft)/(min)

the slope is negative, since it's a descent, the plane is coming down, not going up over the minutes axis.

Answer: 500 feet per minute

Step-by-step explanation:

Landing time 40min with an altitude of 20000 remaining

40=20000 | both sides /40

1=500

The price of a car has been reduced from $17,500 to $10,500. What is the percentage decrease of the price of the car? 4% 40% 70% 60%

Answers

40% because 17500 - 40 % is 10500

Write an expression using the distributive property that can be used to find the quotient 56÷4.

Answers

The quotient of 56 ÷ 4 is 14

Further explanation

Order of Operations in Mathematics follow this following rule :

  1. Parentheses
  2. Exponents
  3. Multiplication and Division
  4. Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem!

This problem is about DIstributive Property.

( a + b ) * c = ( a * c ) + ( b * c )

( a + b ) / c = ( a / c ) + ( b / c )

Given :

56 ÷ 4 = ?

56 / 4 = ( 40 + 16 ) / 4

56 / 4 = ( 40 / 4 ) + ( 16 / 4 )

56 / 4 = ( 10 ) + ( 4 )

56 / 4 = \boxed {14}

Learn more

Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Order of Operations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS

Final answer:

The distributive property can be used to simplify the quotient 56÷4 by breaking 56 into 28+28 and then dividing each by four. The resultant expression is 28÷4 + 28÷4 which equals 14.

Explanation:

The question asks for an expression that can be used to find the quotient 56÷4 using the distributive property. This property in mathematics allows you to break down a complex calculations into simpler ones. In this case, we can break 56 into 28+28 and then divide each by 4. So, the expression using the distributive property would be 28÷4 + 28÷4. When you solve this, it simplifies to 7 + 7 which gives the correct quotient of 14, same as 56÷4.

Learn more about Distributive Property here:

brainly.com/question/37341329

#SPJ3

Casey said that 40 people were surveyed. Is his answer reasonable?

Answers

If 40 people were surveyed then it is reasonable
It depends on your population size, and if your sample is biased. If your sample was 40 out of 100, then yes, it would be reasonable. But if your sample was 40 out of 1000, then no because the sample is too small.

What is 2/3 (x+13)=22

Answers

X is 20, as 33 * .66 is 22.
2/3(x+13)=22
2/3x + 26/3 = 22
2/3x = 4/3
x = 4/3 * 3/2 = 12/6 = 2
x = 2

Best Regards, Mike. 

A recipe that makes 8 servings calls fir 3/5 cup of flour. Jeff modifies the recipe so that it can serve 10 . How many cups of flour does Jeff need

Answers

so 3/5=8 servings
x=10 servings
therefor
(3/5)/(8)=x/10 so
find x
multiply both sides by 10
(10(3/5))/8=x
(10(3/5))/8=(30/5)/8=(6)/8=6/8=3/4
he needs 3/4 cup of flower
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