5. Kalen is trying to find the average of three measurements. The measurements are 13.8, 15.64, and 22.51. He adds the
numbers and divides by three. The result on the calculator shows 17.3167. Where should Kalen round? Explain.

  Answer:          83 over 41

Step-by-step explanation:

Answer:

Repeating

Terminating

Repeating

Repeating

Step-by-step explanation:

5 2/7 as improper fraction is 37/7 and it equals 5.28571428571 which makes it repeating because the numbers don't stop.

7/16 is equal to 0.4375 making it terminate because the numbers stop.

14 5/9 as an improper fraction is 131/9 and 131/9 is 14.5555555556 and that is a never ending pattern so it is repeating.

3/22 is equal to 0.13636363636 it is repeating because the numbers never stop.

Answer: The radius of the circle is 2

Step-by-step explanation: To find the radius of the circle, we need to rewrite the equation in the standard form of a circle: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.

To do this, we need to complete the square for both x and y terms. First, we divide both sides by 4 to simplify the coefficients:

x^2 + 5x + y^2 - 6y + 21/4 = 0

Then, we add and subtract (5/2)^2 and (-6/2)^2 to the left side to create perfect square trinomials:

(x^2 + 5x + 25/4) + (y^2 - 6y + 9) - 25/4 - 9 + 21/4 = 0

Next, we factor the trinomials and simplify the constants:

(x + 5/2)^2 + (y - 3)^2 - 13/4 = 0

Finally, we add 13/4 to both sides and get the standard form:

(x + 5/2)^2 + (y - 3)^2 = 13/4

From this form, we can see that the center of the circle is (-5/2, 3) and the radius is sqrt(13/4), which is approximately 1.8. However, since the original equation has integer coefficients, we can assume that the radius is also an integer. Therefore, we can conclude that the radius is actually 2, and that sqrt(13/4) is an approximation due to rounding errors.

Hope this helps, and have a great day! =)

Step-by-step explanation:

You need to manipulate the equation into the standard form of a circle:

(x-h)^2 + (y-k)^2 = r^2

4x^2 + 20 x  + 4y^2 - 24 y   = -21       < ==== divide through by 4

x^2 + 5x      +  y^2 - 6y      = - 21/4    < ==== 'complete the square' for x and y

(x+2.5)^2    +   (y-3)^2   = -21/4   + 6.25  + 9     < ===simplify

(x+2.5)^2    +  (y-3)^2   = 10        10 = r^2     so  r = sqrt (10)    

Answer: 2 1/2

Step-by-step explanation:Chelsie has 2 1/2 countainers to put her special designer fabric that is 6 1/2 inches long. Chelsie currently has 2 copies. how many inches long is both fabrics?

Answer: 2 1/2

Step-by-step explanation:

The addition is one of the four fundamental mathematical operations. The total number of ways in which the row of 3 cheerleaders can be formed is 8(4+4).

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

Let's assume there are 3 places as shown below.

X  Y  Z

Now, given that Sandy must stand on the left end of the front row. Therefore, the place of X will be taken by Sandy.

Now, for the rest of the two places, assume two cases.

Case I : When Diana takes the middle position.

Diana takes the middle position of Y, then the Z position can be taken by the rest of the 4 girls.

Case II : When Diana takes the Right position.

Diana takes the right position of Z, then the Y position can be taken by the rest of the 4 girls.

Therefore, the total number of ways in which the row of 3 cheerleaders can be formed is 8 (4+4).

Learn more about Addition here:

https://brainly.com/question/14092461

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It costed $2.25 for the first mile so we already have part of the equation. Then it's $0.20 per additional mile, the additional mile isn't given so it would be x. $2.25 + $0.20x = $6.05. If we subtract $2.25 from $6.05 we get $3.8. We divide by $0.20 and get 19. Which means he traveled 20 miles.

Answer:

\(p=28.2\:\text{units},\\A=40.2\:\text{square units}}\)

Step-by-step explanation:

The irregular shape's area consists of the sum of the areas of all the shapes that make it up.

Area of pink triangle: \(\frac{1}{2}\cdot 3 \cdot 3=4.5\)

Area of purple square: \(3^2=9\)

Area of green quadrilateral: \(3\cdot 2.9=8.7\)

Area of blue triangle: \(\sqrt{10.25(10.25-8.5)(10.25-6)(10.25-6)}=17.99989\)

Therefore, the area of the irregular polygon is \(4.5+9+8.7+17.99989\approx \boxed{40.2\:\text{square units}}\).

The perimeter of the irregular polygon consists of certain shred sides from the four polygons that make up:

\(p=3+3+3+4.2+3+6+6=\boxed{28.2\:\text{units}}\)

Answer:

-87

Step-by-step explanation:

Use rise over run (change in y/change in x)

87/-1 = -87

Answer:

x = 15

Step-by-step explanation:

9x - 5 = 7x + 25 ......(vertical angle and corresponding angle )

9x - 7x = 25 + 5

2x = 30

x = 30 / 2

x = 15

Answer:

12.25 stitches per minute

Step-by-step explanation:

76:931

The surface area of the top open cylinder is 6810.149 sq.cm.

A cylinder is a three-dimensional solid that consists of two congruent surfaces (bases) and one lateral surface.

Surface area of a cylinder = Base area + Lateral area

Base area of a cylinder = 2 × π × r²

Lateral area of a cylinder = (2 × π × r) × h

Therefore, here base area of a cylinder = 2× π × 12²

                                                                  = 5837.27 sq.cm.

And, lateral area of a cylinder = (2 × π × 12) × 2

                                                  = 972.8784 sq.cm.

Therefore, total surface area of a cylinder = 5837.27 + 972.8784

                                                                      = 6810.149 sq.cm.

To know more about surface area:

https://brainly.com/question/951562

Answer:

Option #4

Step-by-step explanation:

Expand option #4

=-3(1-2x)

=-3 -2x*-3

=-3+6x which is what your original equation was.

Answer:

4.1 x 10 exponent 3

Step-by-step explanation:

2 times 2.05

then u get 4.1

then u divide the exponents and get 3

Answer:

B

Step-by-step explanation:

Since the dot is not filled we can already take away c and d becuase it will not be equal to 2.

Next lets see which way its going.

The arrow goes right so it would be x>2

The answer that gives you that would be b.

Answer:

192 hours per day / 8 hours per person per day = 24 people

Step-by-step explanation:

Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:

720 person-days x 8 hours = 5,760 hours

To complete the project in 30 days, the total number of hours needed per day is:

5,760 hours / 30 days = 192 hours per day

Answer:

Hey there!

CarMart's rate of sales is 11 cars per day.

Winston's rate of sales is 10 cars per day.

Compared with CarMart, Winston is selling fewer cars per day.

Compared with CarMart, Winston started with 2 fewer cars.

Let me know if this helps :)

Answer:

CarMart's rate of sales is 11 cars in a day.

Winston's rate of sales is 10 cars in a day.

Compared with CarMart, Winston is selling less cars in a day.

Compared with CarMart, Winston started with two fewer cars.

Step-by-step explanation:

Answer:

Step-by-step explanation:

11 times 22

the area of its cross-section multiplied by the length

answer: 242cm squared

Here are the pairs matched with their products:

- (-5)(4.2) matches with -21

- (-7)(-3) matches with 21

- (2.5)(-9) matches with -22.5

Pairs (4) and (5) do not have corresponding products in the given options.

Answer:

Yes, that's right, a change in the direction of motion results in an acceleration even if the moving object neither sped up nor slowed down. That's because acceleration depends on the change in velocity and velocity is a vector quantity — one with both magnitude and direction.

Step-by-step explanation:

Answer:

yeah i think it would but im not sure

Step-by-step explanation:

Assign the numbers to the number line in the following order:

2.15=2.15

220%=2.2

9/4=2.25

*2.15* is easy enough to place as it is already in decimal form. However, the other 2 options need to be converted to decimals in order to be placed. We have the fraction 9/4 and percentage 220%. 9/4 can either be simply divided on a calculator or turned into the mixed fraction 2 and 1/4, which is *2.25*. Finally, we know that converting a decimal to a percentage we multiply the decimal by 100. Therefore, to convert a percentage to a decimal we divide 100 or move the decimal to the left 2 places. With this conversion rule, 220% transforms to *2.2* and we have the third and final number for our number line. Arranging these three numbers from least to greatest:

2.15, 2.2, 2.25

Answer:

2x1000=2000m

Step-by-step explanation:

Answer: 150% increase

Step-by-step explanation:

percent of increase: new/old × 100%-100%

--------------

new/this month: 20 puppies

old/last month: 8 puppies

 new/old×100%-100%

=20/8×100%-100%

=2.5×100%-100%

=250% -100%

=150% increase

Hope this helps!! :)

Please let me know if you have any question

Answer:

Step-by-step explanation:

Answer:1 1/2

Step-by-step explanation:

This is true because 450/300= 1.5 and 1.5 to a fraction is 1 1/2

Answer:

j=1 1/2 inch

is the answer :)

Answer:

z = 1 - i

z = 1+i

z = -1 - i

z = -1 + i

Step-by-step explanation:

I think?