4. Last year, an intramural touch football team at the local university had a decent

season. The total points scored by the team for each of the 20 games are listed

below.

24

49

28

50

34

51

36

52

36

52

40

62

41

67

43

68

43

73

48

79

Construct a histogram of the data

Answer:

x = 44

right

Step-by-step explanation:

The sum of the angles in a triangle add to 180

90+ 46+x = 180

Combine like terms

136+x = 180

Subtract 136 from each side

136+x-136=180-136

x =44

Since we have a 90 degree angle it is a right triangle

Answer:

Option B.

Step-by-step explanation:

We take a point D from the figure attached,

Coordinates for the point D → (-1.5, 3.5)

And coordinates of D' → (3.5, 1.5)

Coordinates of D when rotated about the origin,

Option A. Rotated by 270° clockwise.

Rule to be followed,

D(x, y) → D'(-y, x)

D(-1.5, 3.5) → D'(-3.5, -1.5)

Therefore, Option A. is incorrect

Option B. rotation by 90° clockwise

Rule to be followed

D(x, y) → D'(y, -x)

D(-1.5, 3.5) → D'(3.5, 1.5)

Therefore, Option B. is correct.

Option C. 90° counterclockwise

Rule to be followed,

D(x, y) → D'(-y, x)

D(-1.5, 3.5) → D'(-3.5, -1.5)

This option C is incorrect.

Option D. 180° counterclockwise

Rule to be followed,

D(x, y) → D'(-x, -y)

D(-1.5, 3.5) → D'(1.5, -3.5)

Therefore, option D is incorrect.

Answer:

B. 90 clockwise

Step-by-step explanation:

Answer:

N=0

Step-by-step explanation:

If we wanted to answer the question mathematically, we could solve like so:

17n=0.5n

17n-0.5n=0.5n-0.5n

16.5n=0

n=0

Answer:

38

Step-by-step explanation:

Since 88 and the angle inside the triangle right next to it are a linear pair, their measure must add up to 180 degrees. Therefore, that angle's measure must be 180-88=92 degrees. Since all of the interior angles of a triangle must add up to 180 degrees as well, 50+92+x=180, meaning that x=180-92-50=38 degrees. Hope this helps!

Answer: 38°

Step-by-step explanation:

180-88 = 92°

180-92-50= 38°

Answer:

-x (2 x - 5) (3 x + 2)

Step-by-step explanation:

Factor the following:

-6 x^3 + 11 x^2 + 10 x

Factor -x out of -6 x^3 + 11 x^2 + 10 x:

-x (6 x^2 - 11 x - 10)

Factor the quadratic 6 x^2 - 11 x - 10. The coefficient of x^2 is 6 and the constant term is -10. The product of 6 and -10 is -60. The factors of -60 which sum to -11 are 4 and -15. So 6 x^2 - 11 x - 10 = 6 x^2 - 15 x + 4 x - 10 = 2 x (3 x + 2) - 5 (3 x + 2):

-x 2 x (3 x + 2) - 5 (3 x + 2)

Factor 3 x + 2 from 2 x (3 x + 2) - 5 (3 x + 2):

Answer:  -x (2 x - 5) (3 x + 2)

Answer:

5(4x+3)

5×4x + 5×3

20x+15

Answer:

10 and 8

Step-by-step explanation:

Case 1:

20 and 2

20 = 2^2 x 5

2   = 2^1

=> LCM = 2^2 x 5 = 20 (not 40)

=> Incorrect pair of numbers

Case 2:

10 and 8

10 = 2 x 5

8  = 2^3

=> LCM = 2^3 x 5 = 40

=> GCF = 2

=> Correct pair of numbers

Case 3:

10 and 4

10 = 2 x 5

4  = 2^2

=> LCM = 2^2 x 5 = 20 (not 40)

=> Incorrect pair of numbers

Case 4:

8 and 5

8 = 2^3

5 = 5 x 1

=> GCF = 1 (not 2)

=> Incorrect pair of numbers

Hope this helps!

:)

The numbers which have the least common multiple (LCM) of 40 and greatest common factor (GCF) of the two numbers is 2 are 8 and 10.

The LCM (Lowest Common Multiple) of two or more numbers is the smallest number among all common multiples of the provided numbers. In contrast, the greatest common factor (GCF) is the highest number among all the common factors of the given numbers.

Given that, two whole numbers have the least common multiple (LCM) of 40. and greatest common factor (GCF) of the two numbers is 2.

Let the two numbers be x and y

Now, we know that,

LCM (a, b) × HCF (a, b) = a × b.

40 ×  2 = xy

xy = 80

Therefore, the product of two number is 80.

Now, from the given options, the only pair having product 80 is 8 and 10.

Therefore, the numbers are 8 and 10.

Hence, the numbers which have the least common multiple (LCM) of 40 and greatest common factor (GCF) of the two numbers is 2 are 8 and 10.

Learn more about LCM and GCF, click;

https://brainly.com/question/1876277

#SPJ6

Answer:

52 feet

Step-by-step explanation:

Took the test

Answer: [tex]6\pi +4[/tex]

Step-by-step explanation:

The normal formula for area of a circle is [tex]\pi r^2[/tex] so remember it. Itll be important for the rest of your life. Now this isnt a normal circle, this is a semi circle. So, you should divide by 2.

Three Semi-Circles:

We are given the radius which is 2 cm. [tex]\frac{\pi2^2 }{2} =2\pi[/tex]

Now we gotta multiply that answer by 3 because there are three semi circles.

[tex](2\pi )(3)=6\pi[/tex]

Area of a Square:

This is simple, do [tex]s^2[/tex] to get 4

Answer:

23×-5

= -115

The answer is -115, easy peasy

Answer:

x = 0

Step-by-step explanation:

5x=29x

Subtract 5x from each side

5x-5x=29x-5x

0 = 24x

Divide each side by 24

0/24 =24x/24

0 = x

Answer: ∠JKM = 106\textdegree and

∠JKM = 74\textdegree

Step-By-Step-Explanation

Since we have given that

∠JKM=10y+6

∠MKL=8y-6

Since they are linear pairs ,

So,

∠JKM =

and

∠MKL =

Answer:

15

Step-by-step explanation:

f(x)=5x

g(x)=3x+3

(fog)(x)=f[g(x)]=f(3x+3)=5(3x+3)=15x+15

(fog)(0)=15(0)+15=15

Answer:

15

Step-by-step explanation:

First find g(0) =

g(0) = 3*0 +3

g(0) =3

Then put this into f(x)

f(g(0) ) = f(3) = 5*3 = 15

Answer:

C)

Step-by-step explanation:

the answer is c because you multiply 4 and 2 and get 8 and multiply 8 by 8 and get 64 then you use 4 again and multiply 64 by 4 so you get 256 and round that 254

Answer:

Step-by-step explanation:

Step-by-step explanation:

You could do this in your head, but I'm going to type out everything.

Also, you're going to have to just test these out, there is no short cut for this sort of problem.

[tex]2(-2)-4(-3)=2\\-4+12=2\\8\neq 2\\\\2(-3)-4(-2)=2\\-6+8=2\\2=2[/tex]

I didn't do the last ordered pair because we already found one that fit the equation. Also, it wouldn't be a 1:1 equation if that last one was true, so you can rule it out once you see that (-3,-2) is the correct answer.

Answer:

(-3,-2)

Answer:

I think it is A

Step-by-step explanation:

the reason i am saying A is that you don't really know how many guests are coming it could be 10 or 15 or even more.

Answer:

Ok so it is A, I'm almost positive because the first fee is 100 but if you add ten people it is two hundred. the price is DEPENDANT on the amount of people so people is the Independent variable or (x) and cost is the dependent variable or (y) graph A lines up perfectly because if you have ten additional people you have 10 x the cost per person wich = 10 and 10 x 10=100, if you start with 100 as the base cost and add 100 in additional people you will owe 200

Step-by-step explanation:

HOLD ON if you are taking this test in plato/edmentum it will be a diffrent answer but the same graph, just try to find the same graph as graph A

Answer:6

Step-by-step explanation:

I feel like we are missing some of the equation, but here goes with what you gave

(x+y)

(4+2)

(6)

Answer:

6

Step-by-step explanation:

if x=4 and y=2 then (x+y) is (4+2)

Answer:

There are 50 dimes and 110-50 = 60 quarters in the collection.

Step-by-step explanation:

Let D be the number of dimes.

Then the number of quarters is (110-D).

The "value equation" is

10D + 25*(110-D) = 2000.

Simplify and solve for D:

10D + 2750 - 25D = 2000,

-15D = 2000 - 2750,

-15D = -750,

D = %28-750%29%2F%28-15%29 = 50.

Answer:

70

Step-by-step explanation:

Answer:

70 cm^2

Step-by-step explanation:

Multiply (20x8)/2 to find the area of the triangle.  Then subtract the area of the rectangle(10 cm^2) from the area of the triangle to get your final answer.

Answer:

[tex]x= \frac{20}{3}[/tex]

Step-by-step explanation:

Set up the equation

[tex]\frac{15}{10} =\frac{10}{x}[/tex]

and cross multiply to solve for x.

Answer:

0, 120, 120, 150

Step-by-step explanation:

0, 120, 120, 150

Just multiply the speeds by the hour.

0 * 60 = 0

2 * 60 = 120

120 + 0 * 0.5 = 120

30 * 1 + 120 = 150

Answer:

730.61664

Step-by-step explanation:

area equals πr2=π·15.252≈730.61664

Answer:

829.15625 units squared

Step-by-step explanation:

The formula for area is A= 3.14 * (r^2). 16.25^2 is 264.0625. 3.14 * 264.0625 is 829.15625.

Answer:

(3,18)

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Graph in desmos by making a table then you're able to count more clearly

Answer:

Answer is option b) 11

Step-by-step explanation:

[tex]distance \: between \: two \: points \\ = \sqrt{ {(y2 - y1)}^{2} + {(x2 - x1)}^{2} } \\ here \: x1 = 4 \: \: \: and \: y1 = 6 \\ x2 = - 7 \: \: \: and \: y2 = 6 \\ = \sqrt{ {(6 - 6)}^{2} + { (- 7 - 4)}^{2} } \\ = \sqrt{ { - 11}^{2} } \\ = \sqrt{121} \\ = 11[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

20

Step-by-step explanation:

First, you need to find the length of each of the bases of this trapezoid. YZ has length 5-2=3, while XW has length 8-1=7. The average of these is 5, meaning that since the height of this trapezoid is 5-1=4, the area is 4*5=20. Hope this helps!

Answer:

8 kilometers per hour.

Step-by-step explanation:

1-If you multiply the hours of the trip back (which is 4 hours) and the kilometer per hour (6 km/h) you will get 24.

2-Do the same thing with the trip there and you will get 3 hours multiplied by *blank* equals 24.

3-the blank is 8 kilometers per hour. And I wrote equal 24 to mean that the distance to Guam was 24 kilometers.