The average number of slam dunks between the sophomore basketball league members is 20. The average number of slam dunks between the sophomore and junior basketball league members is 30. If there are 40 members in the sophomore league and 20 members in the junior league, how many slam dunks are made in the junior league?

Answers

Answer 1

Answer:

The sum of the slam dunks made in the junior league is 1,000 slam dunks

Step-by-step explanation:

The known parameters are;

The average number of slam dunks between the sophomore basketball league members, μ₁ = 20

The average number of slam dunks between the sophomore and junior basketball league members, μ₃ = 30

The number of members of the sophomore league, n₁ = 40

The number of members of the junior league, n₂ = 20

We get;

The sum of the scores of the sophomore league members, S₁ = μ₁ × n₁

∴ S = 20 × 40 = 800

The sum of the scores of the sophomore and junior league members combined, S₃ = (n₁ + n₂) × μ₃

∴ S₃ = (40 + 20) × 30 = 1,800

The sum of the slam dunks made by the junior league members, S₂ = S₃ - S₂

∴ S₂ = 1,800 - 800 = 1,000

∴ The sum of the slam dunks made in the junior league, S₃ = 1,000


Related Questions

need help with this math problem asap!!
marking brainliest and giving points ​

Answers

Answer:

Solution given:

y=2x-5......1.

y=-3x+10.....2.

equating equation 1 &2

2x-5=-3x+10

2x+3x=10+5

x=15/5

x=3

again

y=2×3-5=1

so

x,y=3,1 is your answer.

Should you use Sine, Cosine, Tangent to solve the following problem

Answers

Answer:

tangent

Step-by-step explanation:

SOH( sin = opposite/hypotenuse)

CAH(cosine = adjacent/hypotenuse)

TOA(tan = opposite/adjacent)

you are trying to find x and the numbers given to you are  opposite of x and adjacent to x. that means you need to use toa

We will use Tangent of the angle.

What is Tangent of the angle?

In trigonometry, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Given that, a right triangle, with perpendicular = x and an acute angle = 28° and base = 14

Since, we know that, tan α = opposite side / adjacent side

In other two trigonometric ratios, we need the length of hypotenuse, which is not given.

Hence, We will use the Tangent of the angle.

Learn more about tangent, click;

https://brainly.com/question/19064965

#SPJ2

1/3(x+9)=8 Please help

Answers

Answer:

I got x=15, Hope this helps!

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

[tex] \frac{1}{3} \times (x + 9) = 8 \\ \frac{x}{3} + \frac{9}{3} = 8 \\ \frac{x}{3} + 3 = 8 \\ \frac{x}{3} = 8 - 3 \\ \frac{x}{3 } = 5 \\ x = 3 \times 5 \\ x = 15[/tex]

If 6 bales are needed to feed 20 head of cattle, how many bales are needed to feed 100 head of cattle?

Answers

Answer:

333

Step-by-step explanation:

Answer:

the answer is 30

Step-by-step explanation:

[tex]100 \div 20 = 5 \\ 6 \times 5 = 30[/tex]

A water container in the shape of a cone has a height of 5 inches and a diameter of 3.5 inches.
Enter an equation in the first blank box and a number in the second blank box to complete the statements about the
water container ___.
A. The formula to calculate the container's volume, V, with the given measurements is
B. The container can hold approximately ___ cubic inches of water. Round your answer to the nearest hundreth.

Answers

Answer

A. The formula to calculate the container's volume, V, with the given measurements is ⅓ π(1.25²)5.

B. The container can hold approximately 8.177 cubic inches of water. Round your answer to the nearest hundredth.

Step-by-Step Explanation

A. The formula to calculate any cone's volume is ⅓ πr²h. Replace the variables with the actual values of the cone. r stands for the cone base's radius, or half of the diameter. Because the diameter is 3.5, the radius is 1.25, or half of it. The h stands for the height of the cone. Now we can plug in the values. Our answer for this part is ⅓ π(1.25²)5.

B. Now to solve our equation. [tex]1.25^2[/tex] is equal to 1.5625. Now, multiply by the height. 1.5625 x 5 is equal to 7.8125. We now multiply by [tex]\pi[/tex]. We'll use 3.14 to shorten the answer a bit. Multiply 7.8125 by 3.14 and you'll get 24.53125. Last but not least, divide this by 3 (or multiply by [tex]\frac{1}{3}[/tex]). [tex]\frac{24.53125}{3}[/tex] = 8.1770833333... We now must round this to the nearest hundredth. This makes our final answer 8.177 [tex]in^3[/tex].

the dot plot shows the number of hours that 40 students studied each week make a statement that describes the overall pattern of the data in the plot. support your statement by describing clusters,gaps and/or peaks

Answers

Answer:

ther is no dot plot

Step-by-step explanation:

pls answer correctly :)

Answers

I literally just did this its B

what us 8.4 x 10^5 in standard notation​

Answers

Answer:

8x

Step-by-step explanation:

8x

A class has 12 girls and 18 boys. What is the probability that a boy raises his hand and asks to go to the bathroom given a girl already left the room to go to the bathroom?

Answers

Answer:

The answer is  [tex]\frac{18}{29}[/tex]

Explanation:-

Total number of students = 12 + 18 = 30

Total number of students after one girl left = 29

Number of boys = 18

Probability that a boy raises his hand and asks to go to the bathroom =

Number of boys divided by total number of students

[tex]\frac{18}{29}[/tex]

PLS HELP ME ASAP NOW PLS ILL GIVE EXTRA POINTS PLE HELP ME

Answers

Answer:

your not showing the whole thing

Step-by-step explanation:

hi!!! due in 10 mins so please help!!!!

Answers

n^2 + 10n + 25           can be factored as (n+5)^2 , so yes

9x^2 - 24x + 26     can be factored as (3x-4)^2, so yes

The second hand on a clock is 8 cm long.
What is the distance the tip of the second hand travels in 10 minutes?
Round your answer to the nearest cm.

Answers

Answer:

502cm

Step-by-step explanation:

brainliest maybe?

Answer:

502cm

Step-by-step explanation:

Checked on Khan

last year borris paid 256

Answers

for what.. could you finish the question ?

Can someone please help me with math.

Answers

I think is A or c for number 2 and number 1 A or d I am not sure

A car rental company sells accident insurance to 22% of its customers. Out of 350 customers, about how many customers are predicted to purchase insurance?

Answers

Answer:

77 customers

Step-by-step explanation:

Given data

Percentage of customers= 22%

Total customers= 350

Let us find 22% of 350

=22/100*350

=0.22*350

=77 customers

2 in.
2 in.
2 in.
Fine the area

Answers

I think you mean volume.
V=8

PLEASE HELP!!! There is a zombie apocalypse and Rick and Daryll decide to go zombie hunting. They begin by walking 100 yards north from their base then they hear something to the right. They make a 90 degree turn to the right and walk another 100 yards. Rick and Daryll don't want to go too far from where they started. How far are they from their starting point?

Answers

Answer:

they should be either 150 yards away or 200 yards away.

Step-by-step explanation:

Btw The walking dead was a good choice


A circle has a circumference of 37 millimeters. What is the circle's
radius? Use 3.14 for pi and round your answer to the nearest tenth.

Answers

Answer:

5.9

Step-by-step explanation:

To find radius from circumference you need to divide it by pie. So 37 divided by 3.14 is 11.7834394904. This is the diameter. Now divide it by 2, in this case it is 5.89171974522. When you round to the nearest tenth it gives you 5.9. Hope this Helps!

Been trying to get help on this for a long time Any help ?

Answers

Answer:

the answer is 10.8 feet because I said so on foenem

WILL GIVE BRAINLIEST!!!
when you raise a number to the power with the exponent 1/2 you get it's___
A. root
B.square root
C.principal square root
D.half value

Answers

Answer:

I guess B....................

Answer:

B. square root

Step-by-step explanation:

for example

81 raise to power 1/2 is 9

square root of 81 is 9

pls help i will give brianllent for the best answer. Ted owns 3 surfboards and 2 wet suits. If he takes one surfboard and one wet suit to the beach, how many different combinations can he choose?

Group of answer choices

5

12

6

4

Answers

6, 3 surfboard per wet suit

Answer:

6

Step-by-step explanation

3x2=6

What is the solution to x^ 3 + 4x^ 2 > x + 4? –4 < x < –1 –4 < x < 1 –4 < x < –1 or x > 1 x < –4 or –1 < x < 1

Answers

Answer:  did you make this up? cause i’m confused ‍♀️

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

x-11/(1/7)= -1 bjkgipbgiukffgk

Answers

Answer:

sorry but I think your question is not correct

1. Invert and multiply.
x − 11 • 7 = −1
x − 11 • 7 = −1

2. Simplify 11×7 to 77.
x − 77 = −1

3. Add 77 to both sides.
x = −1 + 77

4. Simplify −1 + 77 to 76.
x=76

PLEASE HELP ME IN GEOMETRY, IVE BEEN STUCK FOR HOURS!!!

Answers

Answer:

A

Step-by-step explanation:

the answer is A.

Hope this helps

A tree casts a shadow that is 150 feet long. If the angle of elevation is 30 degrees, how tall is the tree?

Answers

Pythagorean Theorem

Answer is 5

PLEASE HURRY I REALLY NEED TO TURN IT IN

Answers

Answer:

55

Step-by-step explanation:

Put the one shape and split it into two other shapes. A square and a triangle.

find the areas of both of the shapes and add them together.

5×5=25

5×12=60/2 = 30

25+30=55

Answer:

55 units²

Step-by-step explanation:

The area of this shape would be the area of a square with sides 5 and a triangle with a base of 5 and a height of 12

To find the area of this shape, add the area's of the two shapes

This would be written as:

[tex]5^{2} +\frac{5*12}{2} \\ =25+(5*6)\\ =25+30\\= 55[/tex]

What is the value of x in the equation -6 + x = -1?
-5
-7
7
5

Answers

D) 5

Mark if correct!

Answer:

x = 5

Step-by-step explanation:

... -6+5 = 1

..... you can draw a number line and move ( -6) 5 units to the right and you'll get (-1).

Find the missing side.

Need help please.
I need explanation for the answer please

Answers

Answer:

x ≈ 11.1

Step-by-step explanation:

Using the sine ratio in the right triangle

sin59° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{13}[/tex] ( multiply both sides by 13 )

13 × sin59° = x , then

x ≈ 11.1 ( to the nearest tenth )

Answer:

11.14 to nearest hundredth.

Step-by-step explanation:

sine = opposite side/ hypotenuse so here we have:

sin 59 = x/13

x = 13 sin 59

= 11.143

please help me somebody! <3

Answers

Answer: 85 m + 20

Step-by-step explanation:

Make fractions have same, common denominator. LCD = 40

7/8 = 35/40

9/10 = 36/40

2/5 = 16/40

3/1 = 120 / 40

[tex]\frac{35}{40}m+\frac{36}{40}-\frac{120}{40}m - \frac{16}{40}[/tex]

35m + 36 - 120m - 16

85 m + 20

What is the definition of the slope of a line?

Answers

The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
In mathematics the slope or gradient of a line is a number that describes both the direction and the steepness of the line
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