What is the GCF of 20 and 28 and how please show a full reason why ​

Answer:  see below

Step-by-step explanation:

                         Factor Tree

                  64                          72

                   ∧                            ∧

                8 · 8                       8 · 9

               ∧    ∧                       ∧   ∧

            4·2   4·2                   4·2  3·3

           ∧      ∧                      ∧

        2·2    2·2                  2·2

64: 2 · 2 · 2 · 2 · 2 · 2

72: 2 · 2 · 2 · 3 · 3

Answer: -36 feet

Step-by-step explanation:

72-18 = 54 feet ascended

54 feet / 3 ascents = 18 feet per ascent

18 feet * 2 ascents = 36 feet

-72+ 36 = -36 feet

Answer:

Step-by-step explanation:

Let's assume the first business partner borrowed x dollars and the second partner borrowed (30000 - x) dollars.

The interest earned by the first partner at a rate of 16.5% is (x * 0.165), and the interest earned by the second partner at a rate of 12.5% is ((30000 - x) * 0.125).

According to the given information, the total interest earned by both partners is $4150. So, we can write the equation:

(x * 0.165) + ((30000 - x) * 0.125) = 4150

Now, let's solve this equation to find the values of x.

0.165x + 0.125(30000 - x) = 4150

0.165x + 3750 - 0.125x = 4150

0.04x = 400

x = 400 / 0.04

x = 10000

Therefore, the first business partner borrowed $10,000 at a 16.5% interest rate, and the second partner borrowed (30000 - 10000) = $20,000 at a 12.5% interest rate.

Let's call the amount borrowed by the business partner at 16.5% "x" and the amount borrowed by the other business partner "y".

We know that the total amount borrowed is $30,000, so:

x + y = $30,000

We also know that the interest earned by the first business partner is 16.5% of x, and the interest earned by the second business partner is 12.5% of y.

So the total interest earned for the year is:

0.165x + 0.125y = $4150

We now have two equations with two unknowns, which we can solve for x and y.

First, let's isolate one of the variables in the first equation:

x = $30,000 - y

Now we can substitute this expression for x into the second equation:

0.165($30,000 - y) + 0.125y = $4150

0.165($30,000 - y) + 0.125y = $4150

$4,950 - 0.165y + 0.125y = $4150

Combine like terms:

-0.04y = $4150 - $4,950

-0.04y = -$800

Divide both sides by -0.04 to isolate y:

y = -$800 / -0.04

y = $20,000

Now that we have the value of y, we can substitute it back into the first equation to find x:

x + $20,000 = $30,000

x = $30,000 - $20,000

x = $10,000

So, the amount borrowed by the first business partner is $10,000, and the amount borrowed by the second business partner is $20,000.

Answer:

Step-by-step explanation:

it is increased by an amount

The distance traveled by the skier traveled in 2 1/2 minutes is A = 2,700 m

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

Let the distance traveled by the skier in 4 seconds = 72 m

And , let the distance traveled by the skier in 2 1/2 minutes = A

where 2 1/2 minutes = 150 seconds

Now , the proportion is

A / 150 = 72 / 4

Multiply by 150 on both sides , we get

A = ( 150 x 72 ) / 4

On simplifying , we get

A = 2,700 meters

Therefore , the value of A is 2,700 meters

Hence , the distance is 2,700 m

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Answer:

3 quarters 2 dimes

Step-by-step explanation:

has to end with a 5 so 25x3=75 then add twenty which would be two dimes

Answer:

3 q  and 2 dimes

Step-by-step explanation:

my second account Theawp lol

Answer:

ok

Step-by-step explanation:

Answer: \(y = \frac{1}{4} x - 1\)

Step-by-step explanation: In general, know that the equation for a linear graph is \(y = mx + b\), where

In our case,

Answer:

FH

Step-by-step explanation:

The diameter is full lentgh of a circle.

Fh is the only line that goes completely across so thats your answer

Answer:

the answer is c

Step-by-step explanation:

Answer:

Between 2 and 3 full pitches

Answer:

The equation is: \(5c-2=9\)

Step-by-step explanation:

Since 2 less than the product of 5 and a number c is equal to 9, it follows:

\(5c-2=9\)

What is the value of x?

Answer: x=148

Answer:

you have 30 left

Step-by-step explanation: use a calculator bruh

Answer:

30 toys

Step-by-step explanation:

total no. of toys is 200

ur brothers have 80 toys altogether

ur mom throws away 90 leaving you with 30 toys

80+90=170

200-170=30

Answer:

the store sells 108 pounds of mulch and 72 ponds of gravel

Step-by-step explanation:

Answer:
The answer is C!

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Answer:

Area of original figure = area of parallelogram

= 7 yd • 4 yd

= 28 yd^2

3 feet = 1 yard, so 9 ft^2 = 1 yd^2

28 yd^2 (9 ft^2/1 yd^2) = 252 ft^2

Explanation:

The data from the stem-and-leaf plot is:

10,

24,25,26,

30,30,32,33,

40,45,46

Add up those values

10+24+25+26+30+30+32+33+40+45+46 = 341

Then divide over n = 11 which is the sample size.

341/11 = 31 is the arithmetic mean.

Answer:

341/11 = 31 is the arithmetic mean.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Paul made 60 pizzas after 9 days because he made 12 pizzas in the first day so 8 days is left and if you multiply 6×8=48 and you add the 12 pizzas of the first day you get 60.

6×8+12=60

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, let's denote the lengths of the legs as a = 1.5 centimeters and b = 2 centimeters, and the length of the hypotenuse as c = 2.5 centimeters.

The equation using the triangle's side lengths to show the Pythagorean Theorem holds true for the triangle is:

a^2 + b^2 = c^2

Substituting the given values, we have:

(1.5)^2 + (2)^2 = (2.5)^2

2.25 + 4 = 6.25

6.25 = 6.25

Therefore, the equation holds true, confirming that the Pythagorean Theorem is satisfied for the given right triangle.

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The output is 1/3 of the input. x is the input, y is the output:

output = (1/3)input

y = (1/3)x

Answer:

C bc I am learned it 1 week ago

Step-by-step explanation:

Answer:

167 243/386

Step-by-step explanation:

Answer:

Yep, 53°

Step-by-step explanation:

Sum of angles in a triangle equals 180.

We have two angles: 90° (since it is a right angle triangle) and 37°

Therefore 180 - (90+37) = 180 - 127

Answer is 53°

Answer:

c. 12x + 16x and 4(3x + 4x)

Explanation:

12x + 16x = 4(3x + 4x)

12x + 16x = 12x + 16x