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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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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Pls help can’t figure it out
How to find the Smallest value?
3/8
3/4
1/2
7/8
5/6
Answer:
Make all fractions have the same common denominator, and you will find that 3/8 is the smallest value.
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
Answer:
8
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?
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 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
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
11 over 8 as decimal
Answer:
[tex] \frac{11}{8} = 1.375[/tex]
Compute Δy using the function y= 5x^3 as x goes from -2 to 1.
Δy =?
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 - y1where:
y1 = 5(-2)³y1 = -40and
y2 = 5(1)³y2 = 5Therefore,
Δy = y2 - y1Δy = 5 - (-40)Δy = 45.
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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.
Select the situation that have a unit rate equivalent to 3 units to 1 unit!!??
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.
What is 8c + c = , is it 8cc, 9c, 8c2, 8c
Answer:
9c
Step-by-step explanation:
if you take 8c and add another c, it equals 9c
Answer:
9C
Step-by-step explanation:
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!!
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 :
42.66/2.97Expressing the numbers as a power of 10 :
Dividend = 42.66 Divisor = 2.97To convert the divisor to a whole number :
Multiply both by 100
Dividend = 42.66 × 100Divisor = 2.97 × 100 = 297Expressing dividend as a power of 10 :
Dividend = 42.66 × 100 = 42.66 × 10²Hence, the equivalent equation would be : [tex] \frac{42.66 \times 10^{2}}{297}[/tex]
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Graphing linear equations and inequalities 3Y minus 2X equals nine
Answer:
The answer in the pictures
25×2- (42÷6) + 18 can someone help me?
Answer:
The answer is 61
Answer:
61
Step-by-step explanation:
Jeffrey makes 3% commission on
his sales. If his sales total $1800
this week, how much money will he
make?
Answer:
He will make $54
(Pre calc) I only need to do part A i would love to have some help I will make it 120 Points
Answer:
The domain should be X
Step-by-step explanation:
I'm a bit unsure but I think it's correct
2. Mack buys a gourmet pizza for $50. The shop increases its purchase price by 50%? What is the new price of the pizza?
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.
pls help meeeee
pls....
Answer:
1→10
Step-by-step explanation:
12
27
45
105/4
49/2
2/15
2/9
22/45
7/12
1/3
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
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
Which problem could the bar diagram represent
ANSWER: is there a picture for the question?
Step-by-step explanation:
What is the area of this trapezoid?
Enter your answer in the box.
= cm²
A = 440
answer...
A
=
a
+
b
2
h
=
25
+
19
2
·
20
=
440
Answer this math problem
[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]
3x-2y=4
2x+3y=7
X=?
Y=?
Plz step by step
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.
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
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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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
Answer:
2/3 to 1/4, two thirds cup to a quarter cup
Step-by-step explanation:
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.
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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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
Answer:
plz explain simplier
Step-by-step explanation:
What is the largest multiple of 9 whose negation is greater than -100?
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:
ALGEBRA question 100 POINTS. Easy
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
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.
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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Solve pls branliest!
Answer:
1 23 then 70 .2 corrected