Isaac wants to play miniature golf. Go Golf charges $2.50 for ball and club rental and $4.25 per game. Golf Games charges $3.25 for ball and club rental and $8.50 for two games. For how many games would the cost be the same? Write and solve an equation to determine the number of games for which the cost would be the same.​

Answers

Answer 1

The cost would be the same for 47 Go golf and 54 golf games.

What is the Multiplication operation?

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

Given data as:

Charges for Go Golf -

Renting a ball and a club costs $2.50.

$4.25 for one game and

Charges for Golf Games -

3.25 for the rental of a ball and a club

$8.50 for two games

We have to determine the number of games would the cost be the same.

Total charges of Go golf per game = $2.50 + $4.25 = $6.75

Total charges of Golf game for 2 games = $3.25 + $8.50  = $11.75

For per game = $11.75 / 2 = $5.875

Let the game would be x for  Go golf and

And let game would be y for the golf game

As per the given condition,

6.75 x = 5.875y

27/4 x = 47/8 y

Apply cross multiplication operation,

54x = 47y

x/y = 47 / 54

x = 47

So y = 54.

Hence, the cost would be the same for 47 Go golf and 54 golf games.

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Answer 2

The cost would be the same for 47 games at Go Golf and 54 games at Golf Games.

Total charges of Go golf per game = $2.50 + $4.25 = $6.75

Total charges of Golf game for 2 games = $3.25 + $8.50  = $11.75

Cost per game at Golf Games

= Total charges for 2 games / 2

= $11.75 / 2

= $5.875

Let the number of games be x for Go Golf and y for Golf Games.

As per the given condition,

6.75x = 5.875y

To find the relation between x and y, cross-multiplication can be used:

27/4 x = 47/8 y

54x = 47y

x/y = 47/54

Comparing the value gives

x = 47 and y = 54.

Hence, the cost would be the same for 47 games at Go Golf and 54 games at Golf Games.

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Related Questions

11 over 8 as decimal

Answers

Answer:

[tex] \frac{11}{8} = 1.375[/tex]

pls help meeeee
pls....​

Answers

Answer:

1→10

Step-by-step explanation:

12

27

45

105/4

49/2

2/15

2/9

22/45

7/12

1/3

U just need to multiply both the numerators and both the denominators
And then simplify the final answer
Eg: 3/10 * 4/9 = 12/90 = 2/15

How to find the Smallest value?
3/8
3/4
1/2
7/8
5/6

Answers

Answer:

Make all fractions have the same common denominator, and you will find that 3/8 is the smallest value.

Step-by-step explanation:

Nick’s house is between his school and the library, which are one mile apart on the same street. A mile is 5280 feet. After school, Nick walks 3195 feet to his house. How many more feet he need to walk to get to the library?

Answers

Nick's needs to walk 2,085 feet more to get to the library.

Given:

1 mile = 5,280 feet

Distance from Nick's school to his house = 3195 feet

Recall,

Nick’s house is between his school and the library, which is one mile apart

So,

Distance to work to the library from Nick's house = 1 mile - Distance from Nick's school to his house

= 5,280 feet - 3,195 feet

= 2,085 feet

Therefore,

Nick's needs to walk 2,085 feet more to get to the library.

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A fair die is rolled 11 times. What is the probability of rolling a 4 on the die 4 times? Express your answer as a decimal rounded to 4 decimal places after the decimal point.

Answers

i think it’s 4/11

check out my other answers and mark me brainliest please !!!!

The probability of rolling a 4 on the die 4 times out of the total 11 times that it was rolled is; 0.0007716

How to solve probability?

We are given;

Number of times dice is rolled = 11

Now, on a die, there are 6 numbers and as such probability of getting a 4 is; P(getting a 4) = 1/6

Thus;

probability of rolling a 4 on the die 4 times = (1/6)⁴

⇒ 0.0007716

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Answer this math problem

Answers

[tex]\\ \sf{:}\dashrightarrow \dfrac{w^2}{25}+45w+155[/tex]

w=1

[tex]\\ \sf{:}\dashrightarrow \dfrac{52}{25}+45(52)+155[/tex]

[tex]\\ \sf{:}\dashrightarrow \dfrac{52}{25}+2340+155[/tex]

[tex]\\ \sf{:}\dashrightarrow \dfrac{52}{25}+2495[/tex]

[tex]\\ \sf{:}\dashrightarrow 2+2495=2498[/tex]

25×2- (42÷6) + 18 can someone help me?

Answers

Answer:

The answer is 61

Answer:

61

Step-by-step explanation:

2. Mack buys a gourmet pizza for $50. The shop increases its purchase price by 50%? What is the new price of the pizza?

Answers

Answer:

$75

Step-by-step explanation:

50% is half of the total, meaning that we can take half of $50, then add it to 50. Half of 50 is 25, so 50 + 25 = 75 dollars.

What is the largest multiple of 9 whose negation is greater than -100?

Answers

Answer:

99

Step-by-step explanation:

Its negation is greater than -100. Hope this helps!

~Just a joyful teen

[tex]SilentNature[/tex]

Answer:

99

Step-by-step explanation:

(Pre calc) I only need to do part A i would love to have some help I will make it 120 Points

Answers

Answer:

The domain should be X

Step-by-step explanation:

I'm a bit unsure but I think it's correct

Graphing linear equations and inequalities 3Y minus 2X equals nine

Answers

Answer:

The answer in the pictures

Solve pls branliest!

Answers

Answer:

1 23 then 70 .2 corrected

A) is the last choice answer 2+8
B) is the second choice 2+(-8)

Find the unit rate of sugar to baking powder in the recipe above.

Cookie Recipe: 3 cups flour, 2/3 cup sugar, 1/2 cup butter, 1/4 cup baking powder

Answers

Answer:

2/3 to 1/4, two thirds cup to a quarter cup

Step-by-step explanation:

Question 3 options: A school is preparing a trip for 400 students. The company who is providing the transportation has 10 buses of 50 seats each and 8 buses of 40 seats, but only has 9 drivers available. The rental cost for a large bus is $800 and $600 for the small bus. Calculate how many buses of each type should be used for the trip for the least possible cost. Let L

Answers

Answer:

8

Step-by-step explanation:

Pls help can’t figure it out

Answers

X = 30
Y = 20
Let me know if you want me to show my work (:

At a diving competition, Allison scored 78.5 on her first dive. Hannah's score on her first dive was 74.65. How many more points did Allison score on her first dive than Hannah? SHOW YOUR WORK.​

Answers

If Allison scored 78.5 and Hannah scored 74.65 you’ll subtract 74.65 from 78.5 and get 3.85. That’s how many points more Allison scored

3x-2y=4
2x+3y=7

X=?
Y=?

Plz step by step

Answers

Answer:

x= 2

y= -1

Step-by-step explanation:

Simultanous equation(elimination method)

STEP 1: multiply the number near x with the opposite equation.

in this case in equation 1, three is near x so u multiply it with the second equation.

2(3x-2y=4)

3(2x+3y=7)

you get 6x-4y=8

6x+9y=21

STEP 2: Change the sign ONLY IN SECOND equation to its opposite sign

6x-4y=8 <-------- 1st equation

6x+9y=21 <-------- 2nd equation

SO WE CHANGE THE SIGN IN SECOND EQUATION TO: -6x-9y= -21

STEP 3: Now do the elimination part and calculation

+6x-4y=8

-6x-9y= -21

___________

0x-13y= 13

NOTE: X IS ALWAYS CANCELLED IF ITS NOT THERE'S PROBABLY A MISTAKE

STEP 4: Solve for y

now that x is cancelled we have to solve for y.. to do this take the eliminated equation in step 3 and solve for y

-13y= 13

y= 13/-13

y= -1

STEP 5: We have officially solved for y.. now we need to bother about x.. to solve for x take the first original equation IN THE QUESTION and substitiute( replace) y value in equation

ORIGINAL EQUATION: 3x-2y=4

3x-2(-1)=4

3x-2=4

x= 6/3

x= 2

NOTE: YOU CAN ALSO TAKE THE SECOND EQUATION BUT ITS EASIER WHEN YOU TAKE THE FIRST ONE. EITHER WAY YOU MUST GET THE SAME ANSWER

Answer:

x=2, y=1

Step-by-step explanation:

3x-2y=4

2(3x-2y)=2(4)

6x-4y=8

2x+3y=7

3(2x+3y)=3(7)

6x+9y=21

6x+9y-(6x-4y)=21-8

6x+9y-6x+4y=13

13y=13

y=13÷13

=1

3x-2y=4

3x-2(1)=4

3x=4+2

=6

x=6÷3

=2

Hence, x=2 and y=1.

OMG I NEED HELP WITH THIS ANSWER RN

The temperature in Little Rock, Arkansas, is 66°F, and the temperature in Lincoln, Nebraska, is 82°F. Which of the following is true?

A.
Little Rock's temperature > Lincoln's temperature

B.
Little Rock's temperature = Lincoln's temperature

C.
Little Rock's temperature < Lincoln's temperature

Answers

Answer:

C) Little Rock’s temperature < Lincoln’s temperature

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

The answer would be C.

Little Rock's temperature is less than Lincoln's temperature.

66 < 82

Match the following items.


Determine the functions if θ is a first-quadrant angle, and sin = .


1. cosθ √(15)/5

2. tanθ √(10)/2

3. cscθ √(15)/3

4. secθ √6/3

5. cotθ √6/2

Answers

The functions are illustrations of trigonometry ratios

[tex]\mathbf{(a)\ cos\theta = \frac{\sqrt{15}}{5}}[/tex]

The sine of an angle is calculated as follows

[tex]\mathbf{sin\theta = \sqrt{1 - cos^2\theta}}[/tex]

So, we have:

[tex]\mathbf{sin\theta = \sqrt{1 - (\sqrt{15}/5)}}[/tex]

[tex]\mathbf{sin\theta = \sqrt{1 - (15/25)}}[/tex]

Take LCM

[tex]\mathbf{sin\theta = \sqrt{\frac{10}{25}}}[/tex]

[tex]\mathbf{sin\theta = \frac{\sqrt{10}}{5}}[/tex]

[tex]\mathbf{(b)\ tan\theta = \frac{\sqrt{10}}{2}}[/tex]

The tangent of an angle is:

[tex]\mathbf{\ tan\theta = \frac{Opposite}{Adjacent}}[/tex]

Using Pythagoras theorem, we have:

[tex]\mathbf{Hypotenuse^2 = Opposite^2 + Adjacent^2}[/tex]

So, we have:

[tex]\mathbf{Hypotenuse^2 = (\sqrt{10})^2 + 2^2}[/tex]

[tex]\mathbf{Hypotenuse^2 = 10 + 4}[/tex]

[tex]\mathbf{Hypotenuse^2 = 14}[/tex]

Take square roots

[tex]\mathbf{Hypotenuse = \sqrt{14}}[/tex]

So, the sine of the angle is:

[tex]\mathbf{\ sin\theta = \frac{Opposite}{Hypotenuse}}[/tex]

[tex]\mathbf{\ sin\theta = \frac{\sqrt{10}}{\sqrt{14}}}[/tex]

Rationalize

[tex]\mathbf{\ sin\theta = \frac{\sqrt{140}}{14}}[/tex]

[tex]\mathbf{(c)\ csc\theta = \frac{\sqrt{15}}{3}}[/tex]

The sine of the angles is:

[tex]\mathbf{sin \theta = \frac{1}{csc\theta}}[/tex]

So, we have:

[tex]\mathbf{sin \theta = \frac{1}{\sqrt{15}/3}}[/tex]

[tex]\mathbf{sin \theta = \frac{3}{\sqrt{15}}}[/tex]

Rationalize

[tex]\mathbf{sin \theta = \frac{3\sqrt{15}}{15}}[/tex]

[tex]\mathbf{sin \theta = \frac{\sqrt{15}}{5}}[/tex]

[tex]\mathbf{(d)\ sec\theta =\frac{\sqrt 6}{3}}}[/tex]

The sine of an angle is calculated as follows

[tex]\mathbf{sin\theta = \sqrt{1 - (1/sec\theta)^2}}[/tex]

So, we have:

[tex]\mathbf{sin\theta = \sqrt{1 - (3/\sqrt 6)^2}}[/tex]

[tex]\mathbf{sin\theta = \sqrt{(1 - 9/6)}}[/tex]

[tex]\mathbf{sin\theta = \sqrt{( - 3/6)}}[/tex]

The sine of the angle does not have a real value

[tex]\mathbf{(e)\ cot\theta = \frac{\sqrt 6}{2}}[/tex]

Start by calculating the tangent of the angle

[tex]\mathbf{tan\theta = \frac{1}{cot\theta}}[/tex]

So, we have:

[tex]\mathbf{tan\theta = \frac{1}{\sqrt 6/2}}[/tex]

[tex]\mathbf{tan\theta = \frac{2}{\sqrt 6}}[/tex]

Rationalize

[tex]\mathbf{tan\theta = \frac{2\sqrt 6}{6}}[/tex]

[tex]\mathbf{tan\theta = \frac{\sqrt 6}{3}}[/tex]

The tangent of an angle is:

[tex]\mathbf{\ tan\theta = \frac{Opposite}{Adjacent}}[/tex]

Using Pythagoras theorem, we have:

[tex]\mathbf{Hypotenuse^2 = Opposite^2 + Adjacent^2}[/tex]

So, we have:

[tex]\mathbf{Hypotenuse^2 = (\sqrt{6})^2 + 3^2}[/tex]

[tex]\mathbf{Hypotenuse^2 = 6 + 9}[/tex]

[tex]\mathbf{Hypotenuse^2 = 15}[/tex]

Take square roots

[tex]\mathbf{Hypotenuse = \sqrt{15}}[/tex]

So, the sine of the angle is:

[tex]\mathbf{\ sin\theta = \frac{Opposite}{Hypotenuse}}[/tex]

[tex]\mathbf{\ sin\theta = \frac{\sqrt{6}}{\sqrt{15}}}[/tex]

Rationalize

[tex]\mathbf{\ sin\theta = \frac{\sqrt{90}}{15}}[/tex]

Rewrite as:

[tex]\mathbf{\ sin\theta = \frac{3\sqrt{10}}{15}}[/tex]

[tex]\mathbf{\ sin\theta = \frac{\sqrt{10}}{5}}[/tex]

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Jeffrey makes 3% commission on
his sales. If his sales total $1800
this week, how much money will he
make?

Answers

Answer:

He will make $54

Compute Δy using the function y= 5x^3 as x goes from -2 to 1.
Δy =?

Answers

The value of Δy using the function y= 5x^3 as x goes from -2 to 1 is; Δy = 45

The question requests that Δy be computed according to the function, y = 5x³ as x goes -2 to 1.

Δy = y2 - y1

where:

y1 = 5(-2)³

y1 = -40

and

y2 = 5(1)³

y2 = 5

Therefore,

Δy = y2 - y1

Δy = 5 - (-40)

Δy = 45.

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10
When 12x4 - 3x3 + 6x2 is divided by 3x2, the quotient is -
F
4x2 – 3x3 + 6x2
ninov niola
12x4 - 3x3 + 2
-
H
9x2 - x + 2
-
J
4x2 - x + 2

Answers

Answer:

plz explain simplier

Step-by-step explanation:

Select the situation that have a unit rate equivalent to 3 units to 1 unit!!??

Answers

Answer: i believe it can be  c ( the water house streams 6 gallons of water in 2 minutes.

Step-by-step explanation:

i dont have explanation just the answer. and i hope that the right answer.

Answer:

C., E.

Step-by-step explanation:

A. 3/30 = 1/10   No

B. 3/6 = 1/2   No

C. 6/2 = 3/1   Yes

D. 3/3 = 1/1   No

E. 15/5 = 3/1   Yes

Answer: C., E.

A company makes pens. They sell each pen for $9. Their revenue is represented by R = 9 x. The cost to make the pens is $3 each with a one time start up cost of $6500. Their cost is represented by C = 3 x + 6500. a) Find the profit, P, (P = R - C) when the company sells 1000 pens. 15500 0-500 O 9000 0-3500 0-9000​

Answers

Answer:

-$500

Step-by-step explanation:

C = 3(1000) + 6500

C = 3000 + 6500

C = 9500

R = 9(1000)

R = 9000

P = 9000 - 9500

P = -500

ALGEBRA question 100 POINTS. Easy

Answers

Answer: (-4x)^2 (6x^5) » (-4)^2 (x^2) (6x^5) » (16)(x^2)(6x^5) » (96)[x^(2+5)] » 96x^7

Step-by-step explanation:

Answer: (-4x)^2 (6x^5) » (-4)^2 (x^2) (6x^5) » (16)(x^2)(6x^5) » (96)[x^(2+5)] » 96x^7

Step-by-step explanation: I am sure of my answer

What is the area of this trapezoid?



Enter your answer in the box.

= cm²

Answers

A = 440

answer...

A

=

a

+

b

2

h

=

25

+

19

2

·

20

=

440

If Marie were to paint her living room alone, it would take 7 hours. Her sister Barbara could do the job in 8 hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.

Answers

Answer:

[tex]\sf\longmapsto \: 3.73 hours [/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: \frac{1}{7 } + \frac{1}{8} [/tex]

[tex]\sf\longmapsto \: \frac{15}{56} [/tex]

Now, Reciprocal–

[tex]\sf\longmapsto \: \frac{56}{15} [/tex]

[tex]\sf\longmapsto \: 3.73 hours [/tex]

The time taken together Marie and his sister to paint the living room are 3.73 hours or 3 hours and 43.8 minutes.

What are work and time?

Work is the completion of any task for example if you have done your homework in 5 hours then you have done 5 hours.

Another illustration of labor is when you finish your meal in an hour, which means that you finished your work in an hour.

Given that,

Marie take 7 hours to paint

1 work → 7 hour

1 hour → (1/7) work

Barbara takes 8 hour

1 work → 8 hour

1 hour → (1/8) work

Let's suppose together they take x hour

1 work → x hour

1 hour → (1/x) work

Now,

1-hour work together = 1-hour work of Marie + 1-hour work of Barbara

(1/x) = (1/7) + (1/8)

(1/x) = (7 + 8)/56

x = 56/15

x = 3.73

x = 3 hour and 0.73 × 60 = 43.8 minutes.

Hence "The time taken together Marie and his sister to paint the living room is 3.73 hours or 3 hours and 43.8 minutes".

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Show how to use a power of 10 to write 42.66 / 2.97 as an equivalent expression with a whole number divisor

PLEASE HELP DUE TONIGHT!!
WILL MARK BRAINLIEST!!

Answers

Expressing the given equation as a power of 10 with the divisor expressed as an whole number can be written as [tex] \frac{42.66 \times 10^{2}}{297}[/tex]

Given the expression :

42.66/2.97

Expressing the numbers as a power of 10 :

Dividend = 42.66 Divisor = 2.97

To convert the divisor to a whole number :

Multiply both by 100

Dividend = 42.66 × 100Divisor = 2.97 × 100 = 297

Expressing dividend as a power of 10 :

Dividend = 42.66 × 100 = 42.66 × 10²

Hence, the equivalent equation would be : [tex] \frac{42.66 \times 10^{2}}{297}[/tex]

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What is 8c + c = , is it 8cc, 9c, 8c2, 8c

Answers

Answer:

9c

Step-by-step explanation:

if you take 8c and add another c, it equals 9c

Answer:

9C

Step-by-step explanation:

Which problem could the bar diagram represent

Answers

ANSWER: is there a picture for the question?

Step-by-step explanation:

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