There are nine different positions on a baseball team. If a team has 17 players how many different line-ups can the team make? (Assume every player can play every position.) The team can make different line-ups. Baseball games consist of nine innings. A team wants to change its line-up every inning. If no game goes to extra innings, and a season consists of 147 games, how many complete seasons can the team play without repeating a line-up? The team can play complete seasons without repeating a line-up. (Your answer should be an integer.)

Answers

Answer 1

Answer:

A) 24310

B) 18 seasons

Step-by-step explanation:

A) We are given the team has 17 players and there are 9 different positions in the team.

This is a combination question and thus, the number of different line-ups the team can make is;

C(17, 9) = 24310

B) We are told the basketball games consists of 9 innings.

Thus,

Number of games you can fill = 24310/9 = 2701.1111

And then we are told a season consists of 147 games.

Thus;

Number of complete seasons can the team play without repeating a line-up =

2701.1111/147 ≈ 18 seasons

Answer 2

Answer:

a

Step-by-step explanation:


Related Questions

The price of a computer fell 20% this year. If the computer now costs $750, how much did it cost last year?
(step-by-step if possible)

Answers

Answer:

$937

Step-by-step explanation:

P(1-20/100)=750- 1 is the object the you take away the percentage that is in

fraction form

P(1-.2)=75-take it from fraction form to decimal form

P(.8)=750-this is the final product of the equation above

750/.8-Take the current price and the decimal and divide

75000/80- take the .8 and add two 0's to get the whole accurate amount

937.5-Price before the price fell

Sorry I'm not the best at explaining things hoped this helped!

A bag has 16 blue, 20 red, and 24 green marbles. What fraction of the marbles in the bah are blue?

Answers

Answer:

4/15

Step-by-step explanation:

total: 16 + 20 + 24 = 60

16 are blue

then:

the fraction of blue marbles:

16/60 = 4/15

-8 1/6 into decimal form

Answers

Answer:

-7.83333333333

Explanation:

Convert -8 1/6 into an improper fraction-8 1/6: -47 / 6

To turn a fraction into a decimal divide the numerator by the denominator

-47 ÷ 6

= -7.83333333333

Giselle bought a dress for $35 and three t-shirts. She used a coupon for $2.50 off each t-shirt. The total cost can be modeled by the expression 35 + 3(n - 2.5) . What does n - 2.5 represent?

Answers

It’s represents the coupon for each shirt being taken on the price of each shirt

What is the sum of the solutions of the 2 equations
below?
8x = 12
2y + 10 = 22
A. 23
B. 71
7 1
C.
9
D. 10
E. 17.

Answers

8x = 12

Divide both sides by 8

x = 12/8 = 3/2

2y + 10 = 22

Subtract 10 from both sides.

2y = 12

Divide both sides by 2

y = 6

6 + 3/2 = 7 1/2

Answer:

7.5 or 7½

Step-by-step explanation:

8x÷4 = 12÷4

2x = 3

x = 3/2 = 1.5

2y + 10 = 22

2y = 12

y = 6

1.5 + 6 = 7.5 = 7½

Find Slope (3,-4)and(9,-4)

Answers

Slope is undefined as the answer is 6/0

Answer:

The slope is zero (0)

Step-by-step explanation:

-4-(-4)/ 3-9

0/-6

0

what number is greater than -4 but less then -2​

Answers

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-3 is greater than -4 on the number line but less than -2 on the number line. Therefore, the number is -3

hope I helped.

What is the slope of the line in the graph?

Answers

Edit: I have poor vision! My anwser was incorrect

Answer: m= -3/4

Step-by-step explanation:

can start by looking at the squares of the graph and do the rise over run

. Since it goes down it’s fall over crawl. -3/4

Twin​ brothers, Billy and​ Bobby, can mow their​ grandparent's lawn together in 112 minutes. Billy could mow the lawn by himself in 15 minutes less time that it would take Bobby. How long would it take Bobby to mow the lawn by​ himself?

Answers

Answer:

97 minutes

Step-by-step explanation:

In a certain field, the ratio of pigs to sheep is 8 3 . If there are 165 pigs and sheep altogether in a field, how many sheep are there?

Answers

Answer:

440 I think haven't done these questions in a while.

How many quarts of pure antifreeze must be added to 5 quarts of a 40​% antifreeze solution to obtain a 50​% antifreeze​ solution?

Answers

Answer:

2 quarts of 100% antifreeze.

Step-by-step explanation:

5 quarts/ .40 * x/ 1

.40x= 5

x=2

2 quarts of pure antifreeze must be added to 5 quarts of a 40​% antifreeze solution to obtain a 50​% antifreeze​ solution.

Looking at the concentrations.

100% of x quarts is x quarts of antifreeze.

30% of 5 quarts is .3(5) quarts antifreeze.

Adding that we have 5+x quarts and we want

50% of that to be antifreeze so the total is

.5(x + 5)

x + .3(5) = .5(5+x)

x + 1.5 = 2.5 + .5x

x - .5x = 2.5 - 1.5

.5x = 1

x = 1/.5 = 2 quarts pure antifreeze.

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Round 2,516 to the nearest hundred.

Answers

Answer:

2,500

Step-by-step explanation:

2,400 should be the correct answer

A large rectangular movie screen in an IMAX theater has an area of 7,544 square feet. Find the dimensions of the screen if it is 10 feet longer than it is wide length= width=

Answers

Answer:

61.37

Step-by-step explanation:

this is i believe the correct answer but i could still be wrong cause x times x is x square but i am not so sure how much that really matters

take x as the width

x plus 10 as the length

2x plus 10 equals 7544 squared

so square root 7544 minus 10 divided by 2

note that it must be done all at once u cant do it seperately

x is 61.37 dont forget to add 10

Need help -5(1+2k)-8(-4+5k)

Answers

Answer:

27 - 50k

Simplify

1. Distribute

-5 ( 1 + 2k ) - 8 ( -4 + 5k )

-5 - 10k - 8 ( -4 + 5k )

2. Distribute

-5 - 10k - 8 ( -4 + 5k )

-5 - 10k + 32 - 40k

3. Add the numbers

-5 - 10k + 32 - 40k

27 - 10k - 40k

4. Add the same term to both sides of the equation

27 - 10k - 40k

27 - 50k

solve: 3(2x+1)-2(x-5)-5(5-2x)=16 value of x?​

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 2}}}}}[/tex]

Step-by-step explanation:

[tex] \displaystyle{ \star{ \: \: \underline{ \sf{given \: equation}}}}[/tex] :

[tex] \sf{3(2x + 1) - 2(x - 5) - 5(5 - 2x) = 16}[/tex]

Distribute 3 through the parentheses

[tex] \mapsto{\sf{6x + 3- 2(x - 5)- 5(5 -2x) = 16}}[/tex]

Distribute 2 through the parentheses

[tex] \mapsto{ \sf{6x + 3 - 2x + 10- 5(5 - 2x) = 16}}[/tex]

Distribute 5 through the parentheses

[tex] \mapsto{ \sf{6x + 3 - 2x + 10 - 25 + 10x = 16}}[/tex]

Combine ike terms and simplify it

Like terms are those which have the same base

[tex] \mapsto{ \sf{6x - 2x + 10x + 3 + 10 - 25 = 16}}[/tex]

[tex] \mapsto{ \sf{4x + 10x + 3 + 10 - 25 = 16}}[/tex]

[tex] \mapsto{ \sf{14x + 3 + 10 - 25 = 16}}[/tex]

Add the numbers : 3 and 5

[tex] \mapsto{ \sf{14x + 13 - 25 = 16}}[/tex]

The negative and positive integers are always subtracted but posses the sign of the bigger integer.

[tex] \mapsto{ \sf{14x - 12 = 16}}[/tex]

Move 17 to right hand side and change it's sign

[tex] \mapsto{ \sf{14x = 16 + 12}}[/tex]

Add the numbers: 16 and 17

[tex] \mapsto{ \sf{14x = 28}}[/tex]

Divide both sides by 14

[tex] \mapsto{ \sf{ \frac{14x}{14} = \frac{28}{14}}} [/tex]

Calculate

[tex] \mapsto{ \boxed{ \sf{x = 2}}}[/tex]

The value of x is 2

Hope I helped!

Best regards!

~TheAnimeGirl

4. At lunch, Samantha bought a sandwich for
$2.75, milk for $0.75 and 2 cookies for $0.50
each. If tax is 8%, how much tax did Samantha
just pay for lunch? (CP)
Work:

Answers

Answer: 4.86

Step-by-step explanation: 2.75+.75 = 3.5  1 for the cookies 4.5*0.08 = 0.36

4.5+.36 = 4.86.

Two balls are to be pulled from a vase that contains 7 red balls 9 green balls and 2 black balls. After the first ball Is drawn, it is not the replaced. What is the probability that two black balls are chosen from the vase?

Answers

Answer:

[tex]\frac{1}{153}[/tex]

Step-by-step explanation:

There are a total of 7 + 9 + 2 = 18 balls in the vase, therefore, when not replacing the first ball, there would be 18 · 17 = 306 ways to pull 2 balls. There are 2 ways to choose the first black ball and then 1 way to choose the second black ball so there are 2 · 1 = 2 ways to choose 2 black balls. Therefore, the probability is 2 / 306 = [tex]\frac{1}{153}[/tex].

Which of the following represents the solution to the inequality 4x - 2 ≤ 10?

Answers

Answer:

Step-by-step explanation:

Okay so solving an inequality is essentially the same as solving an expression, just with a different symbol.

We can first separate the x to the left and whole numbers to the right side.

TIP INPORTANT: Put your variable numbers on the left side and your whole numbers which are the numbers without variables on the right side

so,

4x ≤  10 + 2

which is,

4x ≤  12, therefore,

x ≤  3.

Hope this helps!

The solution is x ≤ 3

What is an Inequality Equation?

Equations and inequalities are both mathematical sentences formed by relating two expressions to each other. Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

4 x - 2 ≤ 10

Adding 2 on both sides , we get

4 x ≤ 12

Divide by 4 on both sides , we get

x ≤ 3

Hence , the solution is x ≤ 3

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Kevin is 5 1/2 feet tall. Jane is 5 3/8 feet tall. Who is taller. How much taller.

Answers

Answer:

It's Kevin

Step-by-step explanation:

If you convert the fractions, Kevin is 5 4/8, while Jane is 5 3/8

Therefore, Kevin is 1/8 taller

Answer:

Kevin is taller by 1/8 feet

Step-by-step explanation:

5 4/8 - 5 3/8 = 1/8

Hope this helps, have a great day:)

Compare the number of stars to the number of circles. If the ratio remains the same, how many stars will there be when there are 15 circles?
There is 4 stars 3 circles

Answers

Answer:

the answer is 20 because if you want to keep the ratio the same, you have to multiply 3 by 5 to get 15 right? and so 4 times 5 is 20. see if it works

Step-by-step explanation:

Please help with this

Answers

Answer:

Step-by-step explanation:

Since O is the center of the circle, from that point to any point that lies on the outside of the circle will have the same measure. That's worded weird. From point O to A, which is a radius, the length of that radius is 12. That means that the length from point O to any point on the outside of the circle will also measure 12. So from O to B is also 12. For y, we have a rule for when 2 lines tangent to a circle meet at a single point outside the circle. The 2 tangent lines are equal in length. So that means that if AC is 19.6, the CB is also 19.6. Your answer choice is 4.

6 2/3 miles ➕ 4 11/16 =

Answers

Answer:Add up fractions. The answer is 11 17/48

Step-by-step explanation:

hope this helps!

Answer: 11 7/20 miles

Step-by-step explanation: Add 6 and 4 to get 10, and add 2/3 and 11/16 to get 1.35 or 1 7/20 to get 11 7/20.

Have a nice day! :)

Peaches are being sold for $2 per pound.The customer created a model to represent the total cost of peaches bought. If x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best describes the values of x and y?

Answers

Answer: The values of both x and y will be real numbers greater than or equal to 0

Step-by-step explanation: because pounds and price cannot be a negative amount here. So either you're buying 0 or buying more than 0.

The thing that best describes the values of x and y is that they will be real numbers greater than or equal to 0

What is a Real Number?

This refers to the union of both rational and irrational numbers that can have negative or positive values.

From the given information:

Peaches are being bought and sold

There is no negative value used

The conclusion that can be reached as to the values of x and y is that they contain real numbers greater than or equal to 0

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4. Which expression represents a number greater than 8,000 but smaller than 80,000 ​

Answers

Answer:

8000<x<80000

Step-by-step explanation:

a number(x) is greater than (<) 8000

and x is also less than(<) 80000

State whether each system is consistent and independent, consistent and
dependent or inconsistent
y = 0.5x
2y = x + 4
consistent and independent
consistent and dependent
inconsistent
none of the above
Help?

Answers

Answer:

Step-by-step explanation:

C

The lines are have one solution and are consistent and Independent.

What is Consistent and Inconsistent?

Gaining values for x and y allows us to determine whether the pair of linear equations is consistent or inconsistent. The system is consistent if x and y both have the same value. When there are no x and y values that fulfil both equations, the system becomes inconsistent.

Given:

y = 0.5x

2y = x + 4

Now solving the Above Equation

2(0.5x) = x+ 4

x = x+ 4

0 = 4

and, [tex]a_1= 0.5, b_1= -1, c_1= 0\\a_2= 1, b_2 = -2, c_ 2 = 4[/tex]

Now, [tex]a_1/ a_2 = b_1/ b_2\neq c_1/ c_2[/tex]

Then, the lines are have one solution and are consistent and Independent.

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The speed limit for Stadium Drive is 45 miles per hour. Generate at least 3 different interpretations of the rate 45 miles per hour. Provide support/reasoning for each of your answers.

Answers

Step-by-step explanation:

The solution to this problem requires that we find other units besides the given one

1. ft/sec

2. km/h

3.m/s

1. converting to ft/sec

1 mile is 5280 ft

[tex]=\frac{45mile}{hour}* \frac{5280feet}{1 mile} *\frac{1 hours}{3600 secs} \\\\=66 ft/sec[/tex]

2. converting to km/h

1 mile is 1.60934

[tex]=\frac{45mile}{hour}* \frac{1.60934km}{1 mile} *\frac{1 hours}{1hour} \\\\=72.42km/h[/tex]

3. converting to m/s

1 mile is 1609.34

[tex]=\frac{45mile}{hour}* \frac{1609.34km}{1 mile} *\frac{1 hours}{3600 sec} \\\\=20.11m/s[/tex]

Mahalia is making cloth napkins. She bought fabric that is 12 inches wide and 6 yards long. How much napkins can Mahalia make if each napkin is 1 foot by 1 foot?

Answers

She can make 72
Find the area of the fabric 12x6=72
Area of napkins 1x1 =1
divide fabric by napkins
72/1=72 napkins can be made

Mahalia can make a total of 18 napkins using the fabric which she has bought.

What is surface area?

The quantity of space enclosing a three-dimensional shape's exterior is its surface area.

In other meaning, if we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.

Given that,

She has 12 inches wide and 6 yards long fabric.

Since 1 yards = 36 inches.

So,

6 yards = 6 × 36 = 216 inches.

Now,

The total surface area of napkins ⇒ 12 × 216

⇒ 2592 inch²

Area for 1 napkin = 1 foot × 1 foot

Since 1 foot = 12 inches

So,

Area for 1 napkin = 12 × 12 = 144 inch²

Number of napkins can be made = The total surface area of napkins / Area for 1 napkin

Number of napkins that can be made = 2592 inch² / 144 inch²

⇒ 18

Hence "Mahalia can make a total of 18 napkins using the fabric which she has bought".

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6^-2 = PLEASE HELP .....................................................................

Answers

Answer:

6^-2 =0.02777777777

Step-by-step explanation:

6^-2 is 0.02777repeating

it could also round up to 0.03 if you want it simplified

- The area of a triangle is 9.45 m2. If the base is 2.65 m, what is the height?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{height = 7.13 \: m}}}}}[/tex]

Step-by-step explanation:

Area of a triangle ( A ) = 9.45 m²

Base of a triangle ( b ) = 2.65

Height of a triangle ( h ) = ?

Finding the height of a triangle

[tex] \boxed{ \sf{area \: of \: a \: triangle = \frac{1}{2} bh}}[/tex]

[tex] \dashrightarrow{ \sf{9.45 = \frac{1}{2} \times 2.65 \times h}}[/tex]

[tex] \dashrightarrow{ \sf{9.45 = 1.325h}}[/tex]

[tex] \dashrightarrow{ \sf{1.325h = 9.45}}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{1.325 \: h}{1.325} = \frac{9.45}{1.325}}} [/tex]

[tex] \dashrightarrow{ \sf{h = 7.13 \: m}}[/tex]

Hope I helped!

Best regards! :D

Determine that table of values for these simultaneous equations.
5x+y=7
3x-y= 1

Answers

Answer:

What we suppose to be answering?

Step-by-step explanation:

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