Tyler and Gabe went to the arcade and played the same two games, Tyler played five rounds of each game for 30$. Write two equations for the amounts the two boys spent. Then find the cost for one round each game.

Answers

Answer 1

Equations:

1. (30)(5)= 150

2. 30 + 30 + 30 + 30 + 30 = 150

I round:

30 dollars divided by 5 rounds = 6 dollars per round.

Answer 2

The total amount spent by the two boys is $300.

What is algebraic expression?

An expression in mathematics is a combination of terms both constant and variable. For example, we can write the expressions as -

2x + 3y + 5

2z + y

x + 3y

Given is that Tyler and Gabe went to the arcade and played the same two games. Tyler played five rounds of each game for 30$.

We can write the total amount spent by the two boys as -

total amount = 2 x cost of each game x total number of games played

total amount = 2 x 30 x 5

total amount = 10 x 30

total amount = 300

Therefore, the total amount spent by the two boys is $300.

To solve more questions on equivalent expression, visit the link-

https://brainly.com/question/1041084

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Related Questions

given the circle find the arc measure

Answers

9514 1404 393

Answer:

  87°

Step-by-step explanation:

Call the circle center point X. The measure of arc FG is the measure of central angle FXG, which is the supplement of central angle GXH.

 arc FG = 180° -93° = 87°

Divide 3 2/3 ÷ 2 1/3. Simplify the answer and write it as a mixed number.

Answers

11/18 is simplified as a mixed number it would be 0 11/18

Which of the following theorems verifies that angle DEF ~ angle XZY?

Answers

Step-by-step explanation: In this problem, notice that we're only given one pair of congruent angles, the 90 angles, but remember that the sum of the measures of the angles of a triangle is 180°.

So we can determine that the measure of the missing angle

of our first triangle is 40° because 90 + 50 + 40 = 180.

Now we have two pairs of congruent angles,

the 40° angles, and the 90° angles.

Therefore, since two of the angles of one triangle are congruent to

two of the angles of the other triangle, we can say that yes, the

triangles are similar by the Angle-Angle Similarity Postulate (AA~).

. A swimming pool was filling with water at a constant rate of 200 gallons per hour. The pool had
50 gallons before the timer started. Write an equation in standard form to model the situation, then
find the amount of water in the pool after 2 hours and 15 minutes.

Answers

300 amount of the water in the pool after 2 hours and 15 minutes

Blair & Rosen (B&R) plc is a U.K. based brokerage firm that specializes In building investment portfolios designed to meet the specific needs of its clients who are mostly private investors willing to invest their r savings in stocks and shares. One client who contacted B&R recently has a maximum of $500,000 to invest. The company`s investment advisor has decided to recommend the portfolio consisting of two investment funds: An internet fund where the companies are all active in internet businesses of one kind or another and the blue-chip fund which is more conservative and traditional. The internet fund has a projected annual return over the next few years of 12 %, while the blue-chip fund has a projected annual return of 9%. The investment advisor has decided that at most, $350,000 of the client`s funds should be invested in the internet fund. B&R services include risk rating for each investment alternative. The internet fund which is more risky of the two alternatives has a risk rating of 6 for every thousand dollar invested while the blue-chip fund has a risk rating of 4 per thousand dollar invested. So, for example, if $10000 is invested in each of the two investments funds, B&R risk rating for the portfolio would be 6(10) + 4(10)= 100. Finally B&R has developed a questionnaire to measure each client`s risk tolerance. Based on the responses, each client is classified as conservative, moderate or aggressive investor. The questionnaire results have classified the current client as a moderate investor. B&R recommends that a client who`s a moderate investor limit his or her portfolio to a maximum risk rating of 240. You have been asked to help the B&R investment advisor.

What is the recommended investment portfolio for this client?

What is the annual return for the portfolio?

Answers

a) The Investment portfolio consisting of the internet fund and Blue chip fund would be the recommended Portfolio for a moderate risk investor

b) The annual return for the portfolio is = $5100 ( Calculated using the excel formula sheet attached below )

The best/recommended investment portfolio for this client is the Investment portfolio consisting of the internet fund and Blue chip Fund because the Portfolio consists of a lower risk rating of 4 for every thousand which is conservative, and also an Internet fund which has a risk rating of 6 for every thousand ( aggressive ). The combination of a high and low risk investment fund in a portfolio results to an average/moderate risk portfolio.

Calculating the Annual return for the portfolio ( using the excel sheet below)

Model                                 Internet fund            Blue chip fund

Amount to invest                  20                                30

Total amount invested = 20 + 30 = 50

Total risk rating = 240

Total return = 5.1  

hence: The recommended investment portfolio for this client is the Blue chip fund and the total return on the portfolio = $5100 applying the excel formulae attached below

Internet Fund = $20,000

Blue chip fund = $30,000

Learn more : https://brainly.com/question/7589262

Một cuộc điều tra tại một đô thị cho kết quả: 20% dân số dùng một loại sản phẩm A, 50% dân số
dùng một loại sản phẩm B, 15% dân số dùng cả hai loại A và B. Chọn ngẫu nhiên một người dân
trong đô thị đó, tìm xác suất để:
a. Người đó dùng sản phẩm A hoặc B.
b. Người đó không dùng sản phẩm A cũng không dùng sản phẩm B.
c. Người đó chỉ dùng đúng một trong hai loại sản phẩm A hoặc B.
d. Người đó chỉ dùng duy nhất sản phẩm A.

Answers

A, and make it more clearer.some people can’t read it

The area of a rectangle is given by the trinomial y^ 2 +4y-45. If the length of the rectangle is y + 9 , what is the width of the rectangle?

Answers

Step-by-step explanation:

Area of rectangle =L×W

Width =Area

[tex]w idth= \frac{area \ }{length} \\ \\width = \frac{ {y}^{2} + 4y - 45}{y + 9} \\ \\ = \frac{(y - 5)(y + 9)}{(y + 9)} \\ \\ width = y - 5[/tex]

express 111 as a sum of two primes​

Answers

Answer:

2 + 109 = 111

Step-by-step explanation:

.............

Please answer spammers will be reported ​

Answers

Answer:

Answer is number 2 as twice of 2 is 4 and double of 4 is 8 and 8+2=10

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Evaluate the expression: y – y ÷ 1 + x Use x = 7 and y = 3

Answers

Hi ;-)

[tex]x=7 \ and \ y=3\\\\y-y:1+x=3-3:1+7=3-3+7=0+7=\boxed7[/tex]

In a recent year, 34.1% of all registered doctors were female. If there were 58,300 female registered doctors that year, WHOL ML
doctors?
Round your answer to the nearest whole number.

Answers

Well, let’s start with the numbers we need to know. 34.1% are female, and 65.9% are male. There are 58,300 female doctors, and an unknown amount of male doctors. Now, first of all, we can start with an estimate. There’s likely over 100k male doctors due to the ratio being almost 33.33 66.66. We can compare our final answer to that. The ratio is 1.93:1 for male to female doctors. With this, we can compare X:58,300. The male answer is 112,519. We can fact check this by dividing 112,519 by 58,300 (1.93). In total, there are 170,819 doctors, 112,519 male doctors, and 58,300 female doctors.

Laura made $273 for 13 hours of work.
At the same rate, how much would she make for 17 hours of work?
sl
X
$
?
I

Answers

Laura would make $357

273/13=21
21*17=357

Here are some photos of my math home work please show some work.

Answers

Answer:

I can answer 2-19.

Step-by-step explanation:

The first equation is x=0.

the second equation has no solution.

A manufacturing company plans to coat the entire exterior of a cylindrical shipping container with a 0.075-mm layer of special rust proof paint. The cylinder has a radius of 5 cm and height of 12 cm. The paint costs $0.35 per cubic centimeter. What is the cost of the paint for each cylinder?

Answers

Answer:

534.07cm² * 0.35=186.9245 dollar

Mr. Lock bought 6 quarts of oil for his car. He spent $16.02. How much was each quart of oil?

Answers

Answer:

2.67

Step-by-step explanation:

To solve this problem do 16.02 / 6.

I hope this answer helps you out! Brainliest woudl be appreciated.

Determine the intervals on which the function is increasing, decreasing, and constant.

A. Increasing x>0; Decreasing x<0

B. Decreasing on all real numbers

C. Increasing on all real numbers

D. Increasing x<0; Decreasing x>0

Answers

Answer:

Option A, increasing x>0; decreasing x<0

At the annual music festival, the number of Bayview Middle School students competing in the band, chorus, and orchestra competitions is 14, 13, and 17 students respectively. 4 students will compete in all three competitions. 5 students will compete in band and chorus competitions. 6 students will compete in band and orchestra competitions. 7 students will compete in the chorus and orchestra competitions. How many students from Bayview Middle School competed in the music festival

Answers

Answer:

30 students

Step-by-step explanation:

The problem above can be solved using a Venn diagram :

Using the information given :

The number of students competing :

Band and chorus only (BnC) only = 5 - 4 = 1

Band and Orchestra (BnO) only = 6 - 4 = 2

Chorus and Orchestra (CnO) only = 7-4 = 3

Chorus only (C) = 13 - (1+4+3) = 5

Band only (B) = 14 - (1+4+2) = 7

Orchestra only (O) = 17 - (2+4+3) = 8

The Total Number of Bayview students who competed :

(8+7+5+3+2+1+4) = 30

For the function G defined by G(x) = 5x + 3, find G(2)

Answers

G(x)=5x+3

[tex]\\ \sf\longmapsto G(2)[/tex]

[tex]\\ \sf\longmapsto 5(2)+3[/tex]

[tex]\\ \sf\longmapsto 10+3[/tex]

[tex]\\ \sf\longmapsto 13[/tex]

Option c is correct

13, replace x as 2 and then solve, 5(2)+3 which is 10+3 which equals 13.

Elena drank 3 liters of water yesterday. Jada drank 3/4 times as much water as elena. Link drank twice as much as Jada. Did jada drink more or less then elena? Explain how you know

Answers

Answer:

Step-by-step explanation:

3\4 bc on a nuberline it would be 3 3\4

                                                        I--I----(etc)

so yeah hope i helped

Pls help me plakalalla

Answers

Answer:

#10 x = 6

Step-by-step explanation:

Not sure how many questions you needed answered.  The line segments DE + EF = DF

4x - 1 + 9 = 9x - 22

solve for x

x=6

Please help

Simple geometry / trig problem

Answers

Answer:

b, c, d

Step-by-step explanation:

a. tan 30/ sin 30 = (sin 30/cos 30) / sin 30 = 1 / cos 30, no

b. cos 30 = √3/2, yes

c. cos 60 tan 60 = cos 60 (sin 60/cos 60) = sin 60 = cos 30, yes

d. sin 60 = cos (90 - 60) = cos 30, yes

[tex]\bf{b.}\ \ \it cos30^o=\dfrac{\sqrt3}{2}\ \ (True)\\ \\ \bf{d.}\ \ \it sin60^o=cos(90^o-60^o)=cos30^o\ \ (True) \\ \\ \bf{c.}\ \it cos60^o\cdot tan60^o=cos60^o\cdot\dfrac{sin60^o}{cos60^o}=\dfrac{cos60^o}{cos60^o}\cdot sin60^o=1\cdot sin60^o=cos30^o\ (T)\\ \\ \\ \bf{a.}\ \ \it \dfrac{tan30^o}{sin30^o}=tan30^o\cdot\dfrac{1}{sin30^o}=\dfrac{sin30^o}{cos30^o}\cdot\dfrac{1}{sin30^o}=\dfrac{sin30^o}{sin30^o}\cdot\dfrac{1}{cos30^o}=\\ \\ \\ =1\cdot\dfrac{1}{cos30^o}=\dfrac{1}{cos30^o}\ \ne\ cos30^o[/tex]

PLEASE HELP

-1/2m=-9

Show your work in details if you can, I have a hard time understanding this.

Answers

Answer:

m=18

Step-by-step explanation:

-1/2m=-9

-m=-18

m=18

[tex] \begin{cases} \\ \\ \large\bf{\green{ \implies}} \tt \: - \: \frac{1}{2} \: m \: = \: - 9 \\ \\ \large\bf{\green{ \implies}} \tt \: - \frac{1 \: m}{2} \: = \: - 9 \\ \\ \large\bf{\green{ \implies}} \tt \: - 1m \: = \: - 9 \: \times \: 2 \\ \\ \large\bf{\green{ \implies}} \tt \: - 1m \: = \: - 18 \\ \\ \large\bf{\green{ \implies}} \tt \: m \: = \: \frac{ \cancel- 18}{ \cancel - 1} \\ \\ \large\bf{\green{ \implies}} \tt \: m \: = \: \frac{18}{1} \\ \\ \large\bf{\green{ \implies}} \tt \: m = \: 18 \: \\ \\ \end{cases}[/tex]

x^2+ 8x+ How to make it a perfect square

Answers

The answer to that is blaksjsjsjsjsjsjnsksjsjsjsksjdjsjsjdjkdkdkdkdkdk

Hey there! I'm happy to help!

A perfect square means that this equation is the product of two identical binomials (this is a quadratic due to the x^2, so it is made up of two binomials) so for example (x+2)(x+2) would be x^2+4x+4 which is a perfect square as you can square root x^2+4x+4 and (x+2) and not some other crazy thing.

So, we have most of the final quadratic but we need the one constant number on the end. How are we going to find it?

If you are familiar with quadratics, you probably know that adding the two numbers in the binomials gives you b and multiplying them gives you c with a quadratic ax^2+bx+c because of the foil method (if you don't know what that it is, just comment on the answer and I can explain it to you). Basically what that tells us is that our binomial numbers are going to add up to be eight (and we also know that they must be the same number as we want a perfect square). We know that 4+4 is equal to eight, so that means that our binomial pair will look like this:

(x+4)(x+4)

And we also know that multiplying them gives you c, so 4×4=16 and there is our c. We just throw it on at the end of the equation.

x^2+ 8x+16

If you have any more questions, feel free to ask me. Have a great day! :D

Jessica works 5 days a week at a factory 7.5 miles from her home.
She travels to and from work in her car which has a fuel consumption of 30 miles per gallon.
Fuel costs £1.14 per litre and there are 4.55 litres in a gallon.
It costs £2.50 to park her car each day.
Rounded to the nearest £1, how much does it cost Jessica to travel to work in her car for a week?

Answers

Answer:

£25

Step-by-step explanation:

total distance travelled per week = 2 * 7.5 * 5 = 75

amount of fuel used = 75/30 = 2.5 gallons = 11.375 litre

cost of fuel = 11.375 * 1.14 = 12.9675

total cost = 5(2.5) + 12.9675 = 25.4675 ~~ 25

An Image point after a 180° rotation Is Z(3, 7). What were the coordinates of the pre-Image point?
Z-3-7)
2173)
27-3)
21-7-3)

Answers

Answer:

Does the answer help you?

If a=2b=2c find the value of each.​

Answers

Answer:

b=a/2

c=a/2

b=c

a=2b and a=2c

Little’s Law Firm has two lawyers. Customers arrive randomly at an average rate of 1 per hour. Service times have a mean of 60 minutes and a standard deviation of 15 minutes. What is the average number of customers in Little’s Law Firm?

Answers

Answer:

[tex]X=4[/tex]

Step-by-step explanation:

From the question we are told that:

Number of lawyers [tex]N=2[/tex]

Arrival Rate [tex]r= 1 per hour[/tex]

Mean [tex]\=x=60min[/tex]

Standard deviation [tex]\sigma= 15[/tex]

Generally, the equation for average number of customers in Little’s Law Firm

is mathematically given by

[tex]X=Arrival rate (r) * Average service time (t)[/tex]

[tex]X=1*\frac{60}{15}[/tex]

[tex]X=4[/tex]

Nick needs one more class to complete his schedule. There are 5 writing classes, 3 history classes, and 4 mathematics classes that can fit into his schedule. If Nick chooses a class at random, what is the probability that he chooses a history class? Give your answer as a fraction.

Answers

Answer:

1/4

Step-by-step explanation:

Probability = 3/(5+3+4)

= 3/12 or 1/4

Calculate a high estimate for each. Show your work?81×37​

Answers

Step-by-step explanation:

2997

81

×

37

=2997

it just a simple calculation just multiply the numbers

a gift wrapping store has 8 shapes of boxes, types of wrapping paper, and 12 different bows. How many different gift-wrapping options are available at this store?

Answers

Answer:

This sum is related to fundamental principal of counting which states that if one thing is happen in m different ways and other thing happen in n ways, Then both thing will happen in mn ways. We shall use its generalised form.

In given sum, Number of shapes of boxes=8

Number of types of wrapping papers=14

Number of different bows=12

As gift wrapping includes three items Therefore by fundamental principal of counting, number of different gift wrapping option =8×14×12= 1344

Step-by-step explanation:

Answer:

768

Step-by-step explanation:

8 boxes* 8 paper * 12 bows

768 different combinations

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