Janie and Jasmine are playing three games at an arcade. Each of the games requires either 2, 3, or 4 tokens. The girls plan to play as many games as they can before running out of tokens. Let m represent the number of games that require 2 tokens; n represent the number of games that require 3 tokens; and p represents the number of games that require 4 tokens.
Janie plays the 3-token game four times. Write two equivalent expressions to represent the number of tokens that Janie will need to play each of the three games at least one time.
Answers
12
3 + 3 + 3 + 3 = 12
3 x 4 = 12
Thanks!! <3
Related Questions
Hope one of y’all help me with this question.. because i was struggling!!
Please and thank you.
Answers
a) The value in four years is 2,207,626
b) The growth rate percent is 102.5 %
c) It would attain the value in 11 years.
What is a function?We know that a function has to do with a mathematical rule that is used for the establishment of a fact. We have from the question that the function that models the car is; V = 2000000(1.025)^n
Let us recall that n has to do with the number of years.
a) In four years, the value of the car would be;
V = 2000000(1.025)^4
V = 2,207,626
b) The growth rate percent of the function can be obtained as;
1.025 * 100 = 102.5 %
c) To obtain the year in which the value of the car would reach 2624173.32, we have;
2624173.32 = 2000000(1.025)^n
2624173.32/2000000 = (1.025)^n
1.312 = (1.025)^n
ln1.312 = n ln (1.025)
n = ln1.312 /ln (1.025)
n = 0.272/0.025
n = 11
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A new car sells for $27,500. The value of the car decreases by 14% annually. You want to sell the car when it's worth about $4000. Explain how many years you will keep the car, when you will sell it, and how you determined your answer.
Pleaseeee some one please help me explain ever step pleaseeee i have to tell my teacher how i got my answer please.
Answers
Answer: 13 years.
Step-by-step explanation:
The price decreases by 14% anually
To find the decimal form, you have 14%/100% = 0.14
So, the year zero, the price is $27,500
After one year, the price is:
P = $27,500 - 0.14*$27500 = $27,500*(0.86)
After the second year, the price is:
P = $27,500*(0.86)^2
and so on, so we want to find x such that:
P = $27,500*(0.86)^x = $4000
0.86^x = $4000/$27,500
Now, using the natural logaritm rule:
a^x = b
x = ln(a)/ln(b)
x = ln($4000/$27,500)/ln(0.86) = 12.8
We can round it up to 13, so after 13 years the price of the car is about $4000
Answer:
13 years
Step-by-step explanation
4000 = 27500 × (1 - 14/100)^t
4000 = 27500 × 0.86^t
0.86^t = 8/55
t ln(0.86) = ln(8/55)
t = 12.78248711
Determine the intercepts of the line.
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A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points negative ten, zero and zero, negative forty-five.
Answers
The x-intercept of the given line is (-10, 0). The y-intercept is determined as (0, -45).
What is the Y-intercept and the X-intercept of a Line?The y-intercept is the point at which the line crosses the y-axis. Geometrically, it speaks to the esteem of the subordinate variable (as a rule signified as y) when the autonomous variable (more often than not indicated as x) is rise to to zero.
On the other hand, the value of x when y is equal to zero, is referred to as the x-intercept of the line.
The x-intercept of the line shown in the image above is (-10, 0), while the y-intercept is (0, -45).
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Women athletes at a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 36 women athletes at the school showed that 23 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 67%? Use a 5% level of significance.
(a) What is the level of significance?
State the null and alternate hypotheses.
A. H0: p = 0.67; H1: p < 0.67
B. H0: p = 0.67; H1: p ≠ 0.67
C. H0: p < 0.67; H1: p = 0.67
D. H0: p = 0.67; H1: p > 0.67
(b) What sampling distribution will you use?
A. The standard normal, since np > 5 and nq > 5.
B. The standard normal, since np < 5 and nq < 5.
C. The Student's t, since np > 5 and nq > 5.
D. The Student's t, since np < 5 and nq < 5.
What is the value of the sample test statistic?
(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)
Sketch the sampling distribution and show the area corresponding to the P-value.
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?
A. At the α = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
B. At the α = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
C. At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
D. At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
(e) Interpret your conclusion in the context of the application.
A. There is sufficient evidence at the 0.05 level to conclude that the true proportion of women athletes who graduate is less than 0.67.
B. There is insufficient evidence at the 0.05 level to conclude that the true proportion of women athletes who graduate is less than 0.67.
Answers
Answer:
A. H0: p = 0.67; H1: p < 0.67
A. The standard normal, since np > 5 and nq > 5.;
Test statistic = - 0.397 ;
Pvalue = 0.3457;
D. At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
B. There is insufficient evidence at the 0.05 level to conclude that the true proportion of women athletes who graduate is less than 0.67.
Step-by-step explanation:
p = 0.67 ; q = 1 - p = 1 - 0.67
Sample size, n = 36
x = 23
Test for normality :
(36*0.67) = 24.12
(36 * (1-0.67)) = 11.88
For a normal distribution :
np ≥ 5 and n(1 - p) ≥ 5
The hypothesis :
H0 : p = 0.67
H1 : p < 0.67
The Test statistic :
Z = (phat - p) / √[(p(1 -p))/n]
Phat = x / n = 23 / 36
Z = ((24/36) - 0.67)) / √[(0.67(1 -0.67))/36]
Z = - 0.031 / 0.0783687
Z = - 0.396983
Z = - 0.397
Usong the Pvalue from Z calculator ;
Pvalue of Z = 0.3457
If Pvalue < α ; Reject H0 ; If otherwise, Fail to reject H0
I just need #1 plzzzz if you can do #2 and #3 as well I also need the work!! 20 points
Answers
-8th grader
What is the equation of the line that passes through the points 15,9 and -2,9
Answers
Answer:
\(\displaystyle y = 9\)
Explanation:
Both ordered pairs have similar y-coordinates. In addition, any straight line like this one, is considered a zero rate of change [zero slope], therefore you have your equation above.
I am joyous to assist you at any time.
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
If you are using a screen-reader, please consult your instructor for assistance.
x=
y=
Answers
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer
In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.
Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.
Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$
Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$
Therefore, $x=y=12\sqrt{3}$, which is our answer.
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Which point is located at (4,-2)?
Point J
Point K
Point L
Point M
I READY MATH LEVEL F
PLEASE HELP I NEED FOR TODAY
Answers
Answer:
Step-by-step explanation:
point m
A four-year study of various brands of bottled water found that 25% of bottled water is just tap water packaged in a bottle. Consider a sample of sevenseven bottled-water brands, and let x equal the number of these brands that use tap water. Complete parts a through d.
a. Is x (approximately) a binomial random variable?
b. Give the probability distribution for x as a formula.
c. Find p(x = 2).
d. Find P(x <= 1).
Answers
Answer:
Answers below
Step-by-step explanation:
a. Is x (approximately) a binomial random variable?
b. Give the probability distribution for x as a formula.
c. Find p(x = 2).
d. Find P(x <= 1).
Muna must choose a size, a flavor of ice cream, and a topping for her ice cream dessert.
There are two sizes to choose from: small and medium.
There are two flavors to choose from: strawberry and chocolate.
There are two toppings to choose from: nuts and cherries.
The tree diagram below shows the possible outcomes. Use the diagram to answer the questions.
Answers
Answer:
vVavavavavavavavavvagagVVGGnabaabababababahahhahababababvVavavavavavavavavvagagVVGGnabaabababababahahhahababababjvVavavavavavavavavvagagVVGGnabaabababababahahhahababababhahahahahahhahaA spherical balloon is deflated at a rate of 1231.5 cm^3/sec. At what rate is the radius ofthe balloon changing when the radius is 7 cm?
Answers
Answer:
The radius is changing at a rate of 2 cm/s
Explanation:
Here, we want to get the rate at which the radius of the balloon is changing
Mathematically, the formula for the volume of a sphere is:
\(\begin{gathered} V\text{ = }\frac{4}{3}\times\pi\times r^3^{}^{} \\ \\ \frac{dv}{dr}\text{ = 4}\times\pi\times r^2 \end{gathered}\)From the question:
\(\frac{dv}{dt}\text{ = 1231.5 }\)\(\frac{dr}{dt}\text{ = ?}\)\(\frac{dr}{dt}\text{ = }\frac{dv}{dt}\times\frac{dr}{dv}\)dr/dv is the reciprocal of dv/dr
Thus, we have it that:
\(\begin{gathered} \frac{dr}{dt}\text{ = 1231.5 }\times\frac{1}{4\times3.142\times7^2} \\ \\ \frac{dr}{dt}\text{ = 2 }\frac{cm}{s} \end{gathered}\)HURRY PLEASE!!! I NEED TO TURN THIS IS SOON!! I WILL GIVE YOU BRAINLIEST!!
i need the equation you solved it with also!
Answers
Answer:
x=31
Step-by-step explanation:
180-75=115
4x-9=115
4x=124
x=31
If x varies directly as y, find x when y = 8 a) x = 6 when y = 32 b) x = 14 when y = -2
Answers
a) The value of x is 42.6 when k =16/3 is directly proportional to y.
b) The value of x is -56 when k is -7 is directly proportional to y.
What kind of variation is one where x and y are directly proportional?
If x = ky for some constant k can be used to indicate the relationship between the variables y and x, then we may say that y varies directly with y or that x is directly proportional to y.x varies directly as y
x α y
x = ky
a) x=6 ; y = 32
x = ky
6 = k(32)
k = 16/3
if y = 8
then,
x = (16/3) * 8
= 128/3
x = 42.6
Hence, the value of x is 42.6 when k =16/3 is directly proportional to y.
b) x= 14 and y = -2
x = ky
14 = k(-2)
k = -7
if y = 8
then,
x = ky
x= (-7) 8
x = -56
Hence, the value of x is -56 when k is -7 is directly proportional to y.
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What value of Y and Z will make DEF correspond to JKI?
Answers
\(\bold{Solution:}\)
\(\Delta\)\(DE\)\(F\) congruent to \(\Delta\)\(JKI\)
\(\bold{FD=JI} \text{(corresponding angles of congruent triangles)}\)
\(z + 22 = 3z\)
\(\text{or,} \ z-3 z= -22\)
\(\text{or,} \ -2z = -22\)
\(\text{or,} \ z = \bold{11}\)
\(\bold{EF=KI} \text{(corresponding angles of congruent triangles)}\)
\(5y+13=6y\)
\(\bold{y=13}\)
Robin currently has 50 subscribers on her You.Tube channel, and Dimitri currently has 17 subscribers. Robin gains 4 subscribers every week, while Dimitri gains 7 subscribers each week.
Part A: Set up a system of equations to shows each person's subscribers.
Part B: After how many weeks will Robin and Dimitri have the same number of subscribers?
Part C: How many subscribers will Robin and Dimitri have when their subscriber count is equal?
Answers
Answer:
Part A :
Robin : 50 divided by 4 = 12.5, Robin took 12.5 Weeks to get to 50 subscribers.
Dimitri : 17 divded by 7 = 2.4, Dimitri took 2.4 weeks to get to 7 subscribers.
Part B : In 7 weeks, Dimitri will have 66 subscribers, And in 4 weeks, Robin will have 66 subscribers. So after 7 weeks for Robin and 4 for Dimitri
Part C , They will have 66 subscribers. After 7 weeks Dimitri will have 66 subcribers, and after 4 weeks Robin will have 66 subscribers.
Explanation :
I have calculated out Robins and Dimitris subscribers counts with math.
Part A: The attached image is for Robin but I didn't have time for Dimitri.
Dimitri: Currently has 17 subscribers, 7x11=77. 17+77 = 94 and the same goes for Robin.
Robin: Currently he has 50 subscribers, 4x11=44. 50+44 = 94.
Part B: After 11 weeks Robin and Dimitri will have the same number of subscribers.
Part C: Robin and Dimitri will have 94 Subscribers when their subscriber count is equal.
The football field is rectangular. A. Write a polynomial that represents the area of the football field. Write your answer in standard form. Ft2 b. Find the area of the football field when the width is 160 feet. The area is square feet.
Answers
The polynomial of the area of the rectangular field is 40x²+240x+200. The area of the field when its width is 160 ft will be 57600 ft²
Here length = 10x+ 10 ft
width = 4x+ 20 ft
The field is rectangular. So the area is given by the equation,
Area = length × width = (10x+10) × (4x+20)
= 40x²+ 200x+ 40x+200
= 40x²+ 240x+200
= 40(x²+6x+5)
So the polynomial that represent the area is 40x²+240x+200
If width = 160 ft
4x+20 = 160
4x = 160-20
x= 140/4 = 35
Area = 40 (x²+6x+5) = 40 (35² + 6×35 + 5)
= 40 ( 1225+210+5) = 40×1440 = 57600 ft²
So the area of the field = 57600 ft²
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The complete question is provided as the image
The Patel family threw a 100th birthday party for Grandma Patel. They saved
money and deposited $2.500.00 into a new party account. The family invited 200
people, but they only expected 100 guests to come. Each guest cost $20.50.
Instead of 100 guests, 144 guests came. When the Patels paid the bill, what was
their new account balance was
Answers
Step-by-step explanation:
Ok so lets begin with what we know. Each guest is $20.50, 144 guests arrived, and they started with $2,500.
The equation would be 2,500-20.5(144)
20.5(144)=$2,952
Now the issue here is that the payment is more than the account balance and so im guessing either they want the answer as $0, they want the negative value which is -$452, or there was another part before this with the old account info.
The equation of a circle is:
(x-2)^2 + (y+4)^2 = 25
Part A:
Determine the center and the radius of the circle.
...is this correct?
Answers
The requried center and radius of the given circle are (2, -4) and 5.
The standard equation of a circle is given as,
(x - h)² + (y - k)² = r²
Where, (h, k) is the center of the circles and r is the radius of the circle,
The equation of the given circle is,
(x - 2)² + (y + 4)² = 25
Comparing the above equation with the standard equation we have,
(h, k) = (2, -4)
r² = 5²; r =5
Thus, the requried center and radius of the given circle is (2, -4) and 5.
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Simplify
b^10/b^2
OA. b^-8
OB. b^5
O c. b^-5
O D. b^8
Answers
Step-by-step explanation:
The answer is D)
b^10/b^2
= b^10-b^2 = b^8
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this is urgent please help i need this qucik : neetu said that the sum of -8+d is always positive whenthe value of d is greater than 0 .is neetu's statement always true some times true or never true? explain your answer.provide at least two examples that support your answer.
Answers
Answer:
no this isn't true d could = 1 and then -8+1 is still -7
Step-by-step explanation:
What operation would isolate the variable? X + 8 = 14
Answers
Answer:
X = 6
Step-by-step explanation:
X + 8 = 14 * Subtract 8 from both sides so that
-8 -8 the 8 is cancelled out
_________
X + 0 = 6
Greta mails 4 postcards on Monday, Wednesday, and Friday. She mails 5 postcards on Tuesday and Thursday and no postcards Saturday or Sunday. She believes that she will mail over 200 postcards if she does this for the entire 12 weeks that she is studying abroad.
Which are reasonable estimates for the number of postcards that Greta mails? Check all that apply.
60
120
200
220
240
Answers
Help me please on both of y’all can
Answers
Answer: 384 ft^2
Step-by-step explanation:
Like it said set up a proportional equation and solve for dimensions in feets.
The scale factor saids 0.75 in = 2 ft
And the dimensions are 6 in by 9 in
Now using the scale solve for how many feets will make 6 inches and how many feets will make 9 inches .
\(\frac{0.75}{6} = \frac{2}{x}\) Solve by cross multiplying
0.75x = 12
x = 16
\(\frac{0.75}{9} = \frac{2}{x}\) Cross multiply
0.75x = 18
x = 24
Now since we know the new dimensions are 16ft by 24ft then we will multiply them together to find the area .
16 * 24 = 384 ft^2
Find the value of x
A 20
B 60
C 50
D 45
E 30
Answers
Answer:
the answer is letter E.
see the attachment.
sort these items into the order that you would use them in order to calculate the confidence interval for the mean.
Answers
The order of calculate the confidence interval for the mean are as follows:
1. Select sample stat
2. select desired confidence
3. determine margin of error
4. specify upper and lower limits
Now, According to the question:
The order of calculate the confidence interval for the mean are as follows:
1. Select sample stat
2. select desired confidence
3. determine margin of error
4. specify upper and lower limits
Let's know:
What is Confidence Interval?
A confidence interval gives an estimated range of values which is likely to include an unknown population parameter, the estimated range being calculated from a given set of sample data.
The common notation for the parameter in question is θ. Often, this parameter is the population mean μ , which is estimated through the sample mean bar x.
The level C of a confidence interval gives the probability that the interval produced by the method employed includes the true value of the parameter θ.
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PLS HELP ME ANSWER THIS QUESTION..
Answers
Answer:
b. 4
c. 90⁰
Step-by-step explanation:
a. is in the diagram
A group of 4 frieds decide to attend a night of dinner and dancing on a cruise ship. The dinner and dance cruise will last 4 hours. The ship travels 18 km upstream and then travels back to the starting point. The river has a current of 2 km an hour. What is the cruise ship's speed and how long was the upstream journey
Answers
Answer:
The speed of the cruise ship relative to the current is approximately 9.424 kilometers per hour.
The cruise ship's will need 2.425 hours for its upstream journey.
Step-by-step explanation:
The total time of the cruise (\(t\)), in hours, is the sum of the times for the upstream (\(t_{u}\)) and downstream journeys (\(t_{d}\)), in hours. Let suppose that both river and cruise ship travel at constant velocity, the cruise ship travels against the current in its upstream journey, whereas it is in favor of the current in the downstream journey, meaning that:
\(t = t_{u} + t_{d}\)
\(t = \frac{x}{v_{S/C} - v_{C}} + \frac{x}{v_{S/C} + v_{C}}\) (1)
Where:
\(v_{C}\) - Speed of the current, in kilometers per hour.
\(v_{S/C}\) - Speed of the cruise ship relative to the current, in kilometers per hour.
If we know that \(t = 4\,h\), \(x = 18\,km\) and \(v_{C} = 2\,\frac{km}{h}\), then we have the following expression:
\(4\,h = (18\,km)\cdot \left(\frac{1}{v_{S/C} - 2\,\frac{km}{h} } + \frac{1}{v_{S/C}+2\,\frac{km}{h} }\right)\)
\(\frac{2}{9} = \frac{1}{v_{S/C}-2} + \frac{1}{v_{S/C}+2}\)
\(\frac{2}{9} = \frac{2\cdot v_{S/C}}{v_{S/C}^{2}-4}\)
\(2\cdot v_{S/C}^{2} - 8 = 18\cdot v_{S/C}\)
\(2\cdot v_{S/C}^{2}-18\cdot v_{S/C}-8 = 0\)
The roots of the second order polynomial are, respectively:
\(v_{S/C,1} \approx 9.424\,\frac{km}{h}\), \(v_{S/C,2} \approx -0.424\,\frac{km}{h}\). Since the speed is the magnitude of the velocity, a realistic solution must be a positive quantity and the solution is:
\(v_{S/C} \approx 9.424\,\frac{km}{h}\)
The speed of the cruise ship relative to the current is approximately 9.424 kilometers per hour.
And the time needed for the upstream journey is:
\(t_{u} = \frac{x}{v_{S/C}- v_{C}}\) (2)
If we know that \(x = 18\,km\), \(v_{S/C} \approx 9.424\,\frac{km}{h}\) and \(v_{C} = 2\,\frac{km}{h}\), then time for the upstream journey is:
\(t_{u} = \frac{18\,km}{9.424\,\frac{km}{h}-2\,\frac{km}{h} }\)
\(t_{u} = 2.425\,h\)
The cruise ship's will need 2.425 hours for its upstream journey.
9.
Write the equation of the parabola in vertex form.
A. y = (x – 2)^2 + 4
B. y = x^2 – 4
C. y = (x – 2)^2
D. y = (x – 4)^2 – 4
Answers
Answer: The Answer Is NOT Letter A
C. y = (x – 2)^2 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 2 , 0 ) =Already in vertex form. y = ( x − 2 ) ^2
Step-by-step explanation: I used math.way
A. y = (x – 2)^2 + 4 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 2 , 4 ) =Already in vertex form. y = ( x − 2 ) ^2 + 4
B. y = x^2 – 4 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 0 , − 4 ) =Find the vertex form. y = ( x + 0 ) ^2 − 4
C. y = (x – 2)^2 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 2 , 0 ) =Already in vertex form. y = ( x − 2 ) ^2
D. y = (x – 4)^2 – 4 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 4 , − 4 ) =Already in vertex form. y = ( x − 4 ) 2 − 4
What rule (i.e. R1, R2, R3, R4, or R5) would you use for the hawk and for the grizzly bear? a. R2 and R5 b. R1 and R3 c. None of the above d. R1 and R4
Answers
Answer:
I NEED POINTS
Step-by-step explanation:
Plzzz help meeeeeeee
