A carnival is selling red tickets for rides and yellow tickets for games. The red tickets are $1.25 each and the yellow tickets are $0.75 each. The total number of tickets sold was 1,032 and the total sales was $979. Let r represent the number of red tickets sold and y represent the number of yellow tickets sold. Which pair of linear equations can be used to find the number of red tickets sold?
{ r + y = 979 0.75 r + 1.25 y = 1,032
{ r + y = 1,032 0.75 r + 1.25 y = 979
{ r + y = 979 1.25 r + 0.75 y = 1,032
{ r + y = 1,032 1.25 r + 0.75 y = 979

Part A

The two factors are 5 and 4x+6.

Part B

The first factor, 5, has 1 term.

The second factor, 4x+6, has 2 terms.

Part C

The coefficient of the variable term is 4.

The probability of winning by picking the number 30 in roulette is 1/38.

In the game of roulette, the wheel consists of 38 spaces, with numbers 0 through 36 and an additional space marked 00. When you pick a specific number, such as 30, the probability of that number coming up on the wheel can be determined by calculating the ratio of favorable outcomes to the total number of possible outcomes.

In this case, there is only one favorable outcome, which is the ball landing on the number 30. The total number of possible outcomes is 38 since there are 37 numbered spaces (0 through 36) and one additional space for 00. Therefore, the probability of winning by picking the number 30 is 1 out of 38.

To put it simply, if you were to play roulette many times, you would expect the number 30 to come up approximately once every 38 spins on average. This probability remains the same for each individual spin, as each spin of the roulette wheel is an independent event.

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Answer:

The answer is 2 hours later.

Step-by-step explanation:

In order to find how many hours you and your friend meet, you have to solve the equation to find h :

\(50h = 190 - 45h\)

\(50h + 45h = 190\)

\(95h = 190\)

\(h = 190 \div 95\)

\(h = 2\)

Answer:

y = (1/4)x-1

y=\(\frac{1}{4}\) x - 1

Step-by-step explanation:

y=mx + b where m is the slope and b is the y intercept.

Just a quick look at the graph - - - the line is increasing, as x increases, y increases, so our slope should be positive.

We can see the y intercept is -1.

y=mx -1

m = slope = rise/run = (y2-y1)/(x2-x1)

Pick 2 points (any 2!) so we can find the slope.

(-4,-2) and (8,1)

slope = (-2-1)/(-4-8)

= -3/-12 = 1/4

y = (1/4)x-1

The graph of a proportional relationship is a line through the origin or a ray whose endpoint is the origin

3. No because it's a line that doesn't go through the origin

4. Yes because it's a line through the origin

5. Yes because 1/3 = 2/6 = 3/9 = 4/12

6. No because 4/2 isn't equal to 8/5

7. Draw a graph just like 4., but change the y-axis

8. a. Let the equation be y = ax. 27 = 3a. a = 9. Therefore the equation is y = 9x.

8. b. 9

8. c. 9 * 5 = 45

9. a. The car travels 25 (> 18) miles per gallon of gasoline.

9. b. 25 * 8 - 18 * 8 = 7 * 8 = 56

Answer:

-24v + 8 by the distributive property

Step-by-step explanation:

Start by multiplying 6v by -4

-4 × 6v = -24

Then multiply -2 by -4

-2 × -4 = 8

When we add these together, we get the following:

-24v + 8

a) The 99% confidence interval for the population mean μ is (CD) [5.04, 6.96].

b) The 99% confidence interval for the population mean μ with n = 25 is (CD) [5.28, 6.72]. The effect of increasing the sample size on the width of the confidence intervals is: As the sample size increases, the width decreases.

a) Calculate the sample mean:

= (9 + 9 + 3 + 5 + 4 + 6) / 6

= 36 / 6

= 6

Calculate the sample standard deviation (s):

s = √[(∑(xi - x)²) / (n - 1)]

= √[((9 - 6)² + (9 - 6)² + (3 - 6)² + (5 - 6)² + (4 - 6)² + (6 - 6)²) / (6 - 1)]

= √[(9 + 9 + 9 + 1 + 4 + 0) / 5]

= √(32 / 5)

≈ √6.4

≈ 2.53

b) The confidence interval formula remains the same: The confidence interval in part a) (with n = 6) is narrower than the confidence interval in part b) (with n = 25). Thus, increasing the sample size tends to decrease the width of the confidence intervals.

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The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). We can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

The UC Berkeley Institute of Governmental Studies conducted a poll in 2019 with 4,527 respondents in California, where 51.7% of them reported considering moving out of the state. The objective is to calculate a 95% confidence interval for the proportion of all Californians who considered moving out of state, given the sample size and proportion.

B. The formula to calculate the confidence interval for a proportion is:

CI = p^ ± z* √[(p^(1-p^))/n]

Where p^ is the sample proportion, n is the sample size, and z* is the critical value of the standard normal distribution for the desired confidence level. For a 95% confidence level, z* = 1.96.

Substituting the given values into the formula, we get:

CI = 0.517 ± 1.96 * √[(0.517*(1-0.517))/4527]

CI = 0.517 ± 0.013

The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). Therefore, we can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

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The equation of the line is given by y = 6x - 4, where m is the slope (6) and c is the y-intercept (-4).

To find the equation of a line that passes through two points, we need to calculate the slope of the line, m, as well as the y-intercept, c. The formula for calculating the slope is m = (y2 - y1)/(x2 - x1). In this case, we have two points (3,2) and (5,8). Therefore, m = (8 - 2)/(5 - 3) = 6. Next, we need to calculate the y-intercept. We can do this by substituting either point into the equation for the line and solving for c. If we use the point (3,2), then we have 2 = 6(3) + c, which simplifies to c = -4. Therefore, the equation of the line is y = 6x - 4.

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Answer:

Possible answer:

6m + 2k

Step-by-step explanation:

given:

m+m+m+m+m+m+k+k

we can attempt to simplify this expression by factorization:

(m+m+m+m+m+m)+(k+k)     factorize m's and k's

= m(1+1+1+1+1+1) + k(1+1)

= 6m + 2k

Find AB , AC , DE and DF. If the ratios DE/AB and DF/AC are equal , then the triangles are similar

Given data ,

Let the first triangle be ΔABC

Let the second triangle be ΔDEF

Now , the corresponding sides are

DE/AB and DF/AC

Now , corresponding sides of similar triangles are in the same ratio.

On simplifying , we get

DE/AB = DF/AC

Hence , the triangles are similar

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The amount your parents put into the certificate at your birth was approximately $1,460.

To find the initial amount your parents put into the certificate at your birth, we can use the formula for continuously compounded interest:

A = P * e^(rt)

Given:

Final amount (A) at 10 years = $1,849.00

Final amount (A) at 5 years = $1,631.73

Time (t) = 10 years - 5 years = 5 years

We can write the equation for the two time periods:

$1,849.00 = P * e^(r * 10)

$1,631.73 = P * e^(r * 5)

Dividing the two equations, we get:

$1,849.00 / $1,631.73 = e^(r * 10) / e^(r * 5)

Simplifying the equation gives:

1.13289 = e^(r * 5)

Taking the natural logarithm (ln) of both sides:

ln(1.13289) = r * 5 * ln(e)

Using a calculator:

ln(1.13289) = 5r

r ≈ 0.0414 (approximately)

Now, we can substitute the value of r into one of the equations to solve for P:

$1,631.73 = P * e^(0.0414 * 5)

Dividing both sides by e^(0.0414 * 5):

$1,631.73 / e^(0.0414 * 5) = P

P ≈ $1,460.00

Therefore, the amount your parents put into the certificate at your birth was approximately $1,460.

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Without a stated interest rate, it's impossible to accurately determine the initial deposit amount on the savings certificate. The continuous compound formula would be essential to solving this question if the interest rate was provided.

This is a question concerning the calculation of principle amount on an interest bearing instrument - in this scenario, a savings certificate. It's worth noting that the savings certificate in this context compounds interest continuously. The formula we need for such a problem is the continuous compound formula: P = A / e^(rt), where P is the principle amount, A is the amount of money accumulated after n years, including interest, r is the rate of interest, and t is time the money is invested for.

From the question, we know that A = $1,631.73, the amount when you were 5 years old (we can take that as the first measure of 't'), and at 't' = 10 years, A = $1,849.00. However, we don't know the interest rate that's been applied.

If we had the interest rate, we could plug in the numbers, and easily calculate the initial principal amount - P. However, the absence of this information implies we are unable to accurately calculate the amount the parents put into the savings certificate at your birth from these options: a) $1,480 b) $1,460 c) $1,440 d) $1,500.

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Answer:

- 4.5x + 4.7

Step-by-step explanation:

(2.5x - 5) - (7x - 9.7)

2.5x - 5 - 7x + 9.7

2.5x - 7x + 4.7

- 4.5x + 4.7

I don't think this question is complete but here's ur answer

Area of the circular sidewalk around flowerbed is 207.24 m² .

Area is the amount of space occupied by a two-dimensional shape. That is, it is a quantity that measures the number of unit squares that cover the surface of a closed figure. Standard area unit is square unit.

Given,

Diameter of flowerbed = 19m

radius = diameter/2 = 19/2 = 9.5 m

Area of flower bed A

= πr²

= 3.14(9.5)²

= 3.14(90.25)

= 283.385 m²

width of the sidewalk = 3m

radius of flower bed with sidewalk = 9.5 + 3 = 12.5m

Area of flower bed with sidewalk A'

= 3.14(12.5)²

= 3.14(156.25)

= 490.625 m²

Area of the sidewalk

= A' - A

= 490.625 - 283.385

= 207.24 m²

Hence, 207.24 m² is area of the circular sidewalk around flowerbed.

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To rank the steps involved in transforming one couple to another couple in a parallel plane, here is the correct order:

Identify the initial couple and the desired final couple.

Determine the translation vector that will move the initial couple to the desired final couple.

Translate the initial couple using the determined translation vector. This will shift the entire couple in the parallel plane.

Verify that the translation has successfully moved the initial couple to the desired final couple.

If necessary, make any additional adjustments or transformations to align the initial and final couples precisely in the parallel plane.

Confirm that the final couple is now in the desired position and orientation relative to the initial couple, maintaining the parallelism of the plane.

By following these steps in order, you can effectively transform one couple to another in a parallel plane.

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The expected standard deviation for a sample of size 14 with a percentage of success of 25%, assuming data follows a binomial distribution, is approximately 1.62 (option b).

To calculate the expected standard deviation, we can use the formula for the standard deviation of a binomial distribution:

SD = sqrt(npq)

where n is the sample size, p is the percentage of success, and q is the percentage of failure (q = 1 - p).

Substituting the values given, we get:

SD = sqrt(14 x 0.25 x 0.75)

SD = sqrt(2.625)

SD ≈ 1.62

Therefore, the expected standard deviation for a sample of size 14 with a percentage of success of 25%, assuming data follows a binomial distribution, is approximately 1.62. This means that the actual values of success in the sample are likely to vary from the expected value of 3.5 (14 x 0.25) by about 1.62 units.

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Do you have the coordinate plane?

The scale factor of the smaller figure to the larger figure is 4:11 (option A)

Given:

The volume of the smaller rectangular prism = 64 in^3

The volume of a larger rectangular prism = 1331 in^3

The prisms are similar

To find:

the scale factor of the smaller figure to the larger figure

For similar shapes, the scale factor of the shapes when the volumes are given:

The scale factor of the smaller figure to the larger figure is 4:11 (option A)



let's take a looksie at the polygon, hmmm it has 5 sides so it's Pentagon, ok, so

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies S=180(5-2)\implies S=540\)

Answer:

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

Step-by-step explanation:

Answer:

i need  to answer too

Step-by-step explanation:

Answer:

Not remain

Step-by-step explanation:

Answer:9

Step-by-step explanation:

Answer:

3:10

Step-by-step explanation:

In order to find the ratio of red to green sweets, we first need to find the ratio of yellow to green sweets. We know that the ratio of yellow to green is 1:5 and we also know that the ratio of red to yellow is 3:2.

We can use this information to find the ratio of red to green by cross-multiplying the ratio of red to yellow and the ratio of yellow to green.

So (3:2) x (1:5) = (3:10)

This means the ratio of red to green is 3:10.

Alternatively, we can find the ratio of red to green by using the following formula:

(red:yellow) x (yellow:green) = (red:green)

So (3:2) x (1:5) = (3:10)

The ratio of red to green is 3:10.

Answer:

Step-by-step explanation:

The ratio of red : yellow = 3:2 and yellow:green = 1:5

So, the ratio of red : yellow : green = 3:2:5

To find the ratio of red: green, we can find the ratio of red : yellow : green and then divide the red and green portions.

So, the ratio of red: green = (3/(3+2+5)) : (5/(3+2+5)) = 3/10 : 5/10 = 3:5

The end behavior of the polynomial y = -x³ + 2x² + x - 2 is described as follows:

The left tail points upward and the right tails points downward.

The end behavior of a polynomial function is given by the limits of the function as x approaches infinity, meaning that only the term with the highest exponent is considered.

These limits are divided into two tails, as follows:

The function in this problem is given as follows:

y = -x³ + 2x² + x - 2

At the left tail, the limit is given as follows:

lim x -> -∞ f(x) = -(-∞)³ = -(-∞) = ∞.

Hence it points upward.

At the right tail, the limit is given as follows:

lim x -> ∞ f(x) = -(∞)³ = -(∞) = -∞.

Hence it points downward.

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Answer:

$1500

Step-by-step explanation:

$1200 = x - .20x

$1200 = .80x

$1500 = x