Mathematics College

A sports tournament has b teams. Each team has 8 players. Using b, write an expression for the total numbers of players in the tournament.

Answers

Answer 1

Answer:

The answer is 8b

Step-by-step explanation:

Hey, a variable is a filler for an unknown number. Don't let it confuse you too much!

If there were 5 teams, there would be 8(5) = 40 players, right??

With b teams, there are 8b players. We are lazy as mathematicians and don't say 8(b) or 8 x b. It's just 8b.

Thus, The answer is 8b

-TheUnknownScientist 72

Related Questions

Express your answer in scientific notation. 0.00045 – 2.5-10-5

Answers

Answer:

17.49955

Step-by-step explanation:

Hope this helps

write the rational expressions as equivalent rational expressions with the lowest common denominator

Answers

1. The equivalent rational expression with the lowest common denominator of [tex]\frac{2}{3d^{2} + 14d^{2} - 5 }[/tex] is [tex]\frac{2}{(d+5)(3d-1)}[/tex]

2. The equivalent rational expression with the lowest common denominator of [tex]\frac{3d}{3d^{2} - 22d + 7}[/tex] is [tex]\frac{3d}{(d-7)(3d-1)}[/tex]

[tex]\frac{2}{3d^{2} + 14d^{2} - 5 }[/tex]

Let factorise the denominator below

3d² + 14d - 5

-15 and 14

Two numbers we can multiply to get -15 and add to get 14 are 15 and -1.

Therefore,

3d²- d + 15d - 5

d(3d - 1) + 5(3d - 1)

(d+5)(3d-1)

Therefore, the equivalent rational expression with the lowest common denominator will be

[tex]\frac{2}{(d+5)(3d-1)}[/tex]

[tex]\frac{3d}{3d^{2} - 22d + 7}[/tex]

Factorise the denominator

3d²- 22d+7

3d²- d - 21d + 7

d(3d - 1) - 7(3d - 1)

(d - 7)(3d - 1)

Therefore, the equivalent rational expression with the lowest common denominator will be

[tex]\frac{3d}{(d-7)(3d-1)}[/tex]

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ERIOD
DATE
NAME
4. Priya bought these items at the grocery store. Find each unit price.
a. 12 eggs for $3. How much is the cost per egg?
b. 3 pounds of peanuts for $7.50. How much is the cost per pound?
c. 4 rolls of toilet paper for $2. How much is the cost per roll?
d. 10 apples for $3.50. How much is the cost per apple?

Answers

4$ per egg
2.15 per pound
0.50

Answer:

A 3.00/12=.25 ea

B 7.50/3=2.50/1lb

C 2.00/4=.50ea

S 3.50/10=.35/ea

Here you go! Hope it helps.

Please consider brainly for my answer.

Thank you -= Miss Hawaii

Heyyyyy help mee please

Answers

Here you go, hope it helps :)

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Need Kona talaga para bukas please

Answer:

Step-by-step explanation:

Da"B"a"B"y

2 B so

"B" graph "B"

↑that explains it

Someone pls help- am struggling.

Answers

Answer: Choice B

500 = 400 + 50s. Therefore, Bart can buy 2 pairs of shoes.

=============================================================

Explanation:

s = number of pairs of shoes

50s = amount spent on shoes ($50 per pair)

50s+400 = total amount spent on shoes and uniforms

That expression is the same as 400+50s because we can add numbers in any order we want. Set this equal to the $500 he started with to get the equation 500 = 400 + 50s

We have enough info to determine the answer must be choice B

We can stop here if you wanted.

----------

Let's solve that equation for s

500 = 400 + 50s

400 + 50s = 500

50s = 500-400 .... subtract 400 from both sides

50s = 100

s = 100/50 .... divide both sides by 50

s = 2

This means he can buy 2 pairs of shoes.

Buying the shoes only will cost 50s = 50*2 = 100 dollars, which on top of the $400 for the uniforms, leads to a grand total of 400+50s = 400+100 = 500 dollars. This helps confirm we have the correct value for s.

need help with this plz

Answers

Answer:

[tex]x = \frac{ - 24 \pm \sqrt{ - 288} }{4} \\ = \frac{ - 24 \pm \sqrt{ ( - 1) {(12)}^{2} (2)} }{4} \\ = \frac{ - 24 \pm \sqrt{ - 1} \sqrt{ {12}^{2} } \sqrt{2} }{4} \\ = \frac{ - 24 \pm i 12\sqrt{2} }{4} \\ =-\frac{24}{4}\pm \frac{i12\sqrt{2}}{4}\\= - 6 \pm \: i3 \sqrt{2} [/tex]

Determine whether the equation is a linear equation in two variables. 5y = x - 5

Answers

Answer:

Yes

Step-by-step explanation:

start with 5y=x-5

divide both sides by 5 to get:

y= x/5 - 1

since a linear equation is represented by y=mx+b, and this can be represented in that form, this is a linear equation.

a
In the year 2005, a company made $6 million in profit. For each consecutive year
after that, their profit increased by 13%. How much would the company's prohl be in
the year 2007, to the nearest tenth of a million dollars?

Answers

Answer:

The profit will be 7.7 million in 2007

Step-by-step explanation:

6x(1+ 0.13)^2

6x1.13^2

6x1.2769

Find the greatest common factor of 50,75, and 150

Answers

Answer: 25

Step-by-step explanation:

To find the greatest common factor of an number, you start by listing the factors of each number. The factor that appears the greatest amount of times is the greatest common factor.

175: 1,5,7,25,35,175.

75: 1,3,5,15,25,75.

25:1,5,25.

The number 25 in this case appears the most frequently, therefore the answer is 25.

The greatest common factor (GCF), of the given numbers 50, 75, and 150 is 25.

To find the GCF, we identify the common factors of the given numbers and then select the largest one. The common factors of 50, 75, and 150 are the numbers that divide each of them without leaving a remainder.

In this case, 25 is the largest number that divides all three numbers evenly.

50 = 2 × 5 × 5

75 = 3 × 5 × 5

150 = 2 × 3 × 5 × 5

Since 25 is present as a factor in all three numbers, it's the greatest common factor.

Therefore, The GCF of 50, 75, and 150 is 25.

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Which kind of triangle is showing

Answers

not sure about it this one is tuff

Diane took a loan out for $3000 for 11 months and was charged a simple interest. The total interest she paid was $253. What’s her interest rate

Answers

Answer:

$300

Step-by-step explanation:

Diane's interest rate on the loan is approximately 8.43%.

Let's determine Diane's interest rate step by step.

1. First, we need to understand the formula for simple interest:

Simple Interest (SI) = Principal (P) × Rate (R) × Time (T)

where:

P = Principal amount (initial loan amount)

R = Interest rate (unknown, what we want to find)

T = Time period in years

2. We have the following information from the problem:

P = $3000 (Principal amount)

SI = $253 (Total interest paid)

T = 11 months

3. However, to use the formula, we need to convert the time from months to years. Since 1 year has 12 months, we can write:

T = 11 months ÷ 12 months/year

≈ 0.917 years

4. Now, let's rearrange the formula to solve for the interest rate (R):

R = SI / (P × T)

Substituting the given values:

R = $253 / ($3000 × 0.917) ≈ 0.0925

5. Finally, we need to convert the interest rate from a decimal to a percentage:

R = 0.0925 × 100 ≈ 8.43%

So, Diane's interest rate on the loan is approximately 8.43%.

In summary, to find the interest rate, we used the simple interest formula and rearranged it to solve for the rate. We converted the time from months to years before calculating the interest rate. The result is approximately 8.43% interest rate, indicating the percentage of the principal that Diane had to pay as interest over 11 months.

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Alani has a summer job as a lifeguard. She makes $8/h for up to 40 h each week. If she works more than 40 h, she makes 1.5 times her hourly pay, or $12/h, for each hour over 40 h. 1. How much will Alani earn if she works: a. 37 hours?

Please i need this now

Answers

Answer:

356

Step-by-step explanation:

She will earn a total of $296.

We have - Alani who has a summer job as a lifeguard. She makes $8/h for up to 40 h each week. If she works more than 40 h, she makes 1.5 times her hourly pay, or $12/h for each hour over 40 h. How much will Alani earn if she works: a. 37 hours.

We have to determine - How much will Alani earn if she works for 37 hours.

If you earn $x per hour and you work for 30 hours, them calculate the amount of money you will earn.

The amount of money you will earn will be = $30[tex]x[/tex].

According to question, we have -

Pay per hour = $8

Number of hours she work in a week = 40 hours

For working 37 hours, which is less than 40, she will receive an hourly wage of $8 only. Therefore -

$8 x 37 = $296

Hence, she will earn a total of $296.

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Need help with a math question

Answers

First: Find out their decimal form.

- 2 1/6 as a decimal is 2.16

7/3 as a decimal

To get 7/3 converted to decimal, you simply divide 7 by 3. Don't worry. You don't need to get the calculator out, because we did this for you.

7/3 as a decimal is:

2.333333333

A small city gets its water supply from three sources: two wells and a small upland reservoir. The well supplies require pumping, and so are more expensive. Reservoir water flows directly to the town by gravity. The town needs a total of 20 mgd (million gallons per day) of water. The cost of water is zero if obtained from the reservoir, $60/million gallons if from Well-field 1, and $30/million gallons if from Well-field 2. The reservoir can deliver 9 mgd; Well-field 1 has a capacity of 25 mgd, and Well-field 2 has a capacity of 3 mgd. (Hint: use the Lagrange multipliers for the last three questions. You can check your answers using Excel solver)
a) Formulate this problem in terms of an objective function and constraint(s).
b) Solve the problem by hand using the Lagrange Multipliers, and find the minimum total cost combination of flows from each source, and minimum total cost.
c) How much, annually, should the city be willing to pay to expand the capacity of the reservoir, Well-field 1, and Well-field 2
d) If the city decided to conserve water and the demand decreased from 20 to 19.5 mgd, how much would the city benefit from this conservation?
e) If you had a chance to expand the capacity of reservoir, Well-field 1, or Well-field 2 reservoir, Well-field 1, and Well-field 2 What would be the new cost? which one(y) would you prefer to increase, why?

Answers

Answer: A small city gets its water supply from three sources: two wells and a small upland reservoir. The well supplies require pumping, and so are more expensive. Reservoir water flows directly to the town by gravity. The town needs a total of 20 mgd (million gallons per day) of water. The cost of water is zero if obtained from the reservoir, $60/million gallons if from Well-field 1, and $30/million gallons if from Well-field 2. The reservoir can deliver 9 mgd; Well-field 1 has a capacity of 25 mgd, and Well-field 2 has a capacity of 3 mgd. (Hint: use the Lagrange multipliers for the last three questions. You can check your answers using Excel solver)

a) Formulate this problem in terms of an objective function and constraint(s).

b) Solve the problem by hand using the Lagrange Multipliers, and find the minimum total cost combination of flows from each source, and minimum total cost.

c) How much, annually, should the city be willing to pay to expand the capacity of the reservoir, Well-field 1, and Well-field 2

d) If the city decided to conserve water and the demand decreased from 20 to 19.5 mgd, how much would the city benefit from this conservation?

e) If you had a chance to expand the capacity of reservoir, Well-field 1, or Well-field 2 reservoir, Well-field 1, and Well-field 2 What would be the new cost? which one(y) would you prefer to increase, why?

Step-by-step explanation: A small city gets its water supply from three sources: two wells and a small upland reservoir. The well supplies require pumping, and so are more expensive. Reservoir water flows directly to the town by gravity. The town needs a total of 20 mgd (million gallons per day) of water. The cost of water is zero if obtained from the reservoir, $60/million gallons if from Well-field 1, and $30/million gallons if from Well-field 2. The reservoir can deliver 9 mgd; Well-field 1 has a capacity of 25 mgd, and Well-field 2 has a capacity of 3 mgd. (Hint: use the Lagrange multipliers for the last three questions. You can check your answers using Excel solver)

a) Formulate this problem in terms of an objective function and constraint(s).

b) Solve the problem by hand using the Lagrange Multipliers, and find the minimum total cost combination of flows from each source, and minimum total cost.

c) How much, annually, should the city be willing to pay to expand the capacity of the reservoir, Well-field 1, and Well-field 2

d) If the city decided to conserve water and the demand decreased from 20 to 19.5 mgd, how much would the city benefit from this conservation?

Help Me Pls

1.Virgie will equally give P 742.60 among her 4 nephews. How much will each nephew get?

A. P 185.65
B. P 85.56
C. P 158.65
D. P185.55

2.Php 5876 are distributed equally among 26 men. How much money will each person
get?

D.P 262
C. P 262
B. P 226
A. P 225

3.Bernard wants to cut a straight board into 4 equal pieces. The board is 112.12 cm
long. How long should Bemard cut each piece?

D. 28.04
C. 28.03
B. 28.02
A. 28.01

4.When the in a basket is grouped into 2, 3 or 5, there is always an extra.

5.How many 25centavo coins are equal to P 5.00?
D. 18
C. 21
B. 19
A. 20

Answers

The amount that will be gotten by each nephew when Virgie will equally give P 742.60 among her 4 nephews will be $185.65.

Since Virgie will equally give P 742.60 among her 4 nephews, the amount that each nephew gets will be:

= 742.60 / 4

= $185.65

If Php 5876 are distributed equally among 26 men, the amount that each person gets will be:

= Php 5876 / 26

= Php 226

If Bernard wants to cut a straight board into 4 equal pieces and the board is 112.12 cm, the length of each piece will be:

= 112.12cm / 4

= 28.03cm

The number of 25cents coins that are equal to P 5.00 will be:

= 5/0.25

= 20

There will be 20 25 cents coins on P5.00.

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in order to start a small business a student takes out a simple interest loan for $8,000 for 6 months at a rate of 6.25%, how much interest must the student pay and find the future value of the loan round to the nearest cent as needed

Answers

Answer:

The student must pay 4247.5 - 4000 = 247.50 dollars in interest

Step-by-step explanation:

Please Help! I will give you a lot of points and the brainiest!

A married man filing separably with a taxable income of $130,000. Compute the tax owned (look at chart)

--PLEASE show work

Answers

First, find the tax rate for a person whose taxable income is $130,000. By looking at the table, you can see the tax rate is 33%. To find the total tax, multiply 33% by $130,000.

[tex]0.33 \times 130000 = 42900[/tex]

Thus, the tax this person has to pay is $42,900.

help me answrr the 4th question please

Answers

Step-by-step explanation:

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Footlocker and Footaction are each having a sell on all of the latest name brand shoes. At Footlocker, you can get 2 pairs of Nikes for $69.98. At Footaction you can get 3 pair of shoes for $99.99

Answers

Answer:

I'm not sure what this is asking but footaction is cheaper

Step-by-step explanation:

footlocker the shoes (single pair) is 69.98/2 or 34.99

footaction is 99.99/3 or 33.33

Carlos has earned more than $260 selling magazines subscriptions. Each subscription
was sold for $12. How many did Carlos sell?

Answers

Answer:

21.6 magazines

Step-by-step explanation:

260/12=21.6

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