His grandmother is sick, so Hassan is making a pot of bean soup to bring for dinner. The recipe calls for equal amounts of 3 kinds of beans: kidney, pinto, and black. In all, Hassan uses 2 1/4 cups of beans in the soup.

Use an equation to find the amount of each kind of bean Hassan uses in the soup.

Answer:

The answer will be listed below.

Step-by-step explanation:

First of all, you want x to by itself, so distribute the three to both x and negative 4 so you'll get 3x-12=2x+6.

Now, subtract 2x from both sides and add 12 to both sides and you'll get an answer of x=19. From that, you are able conclude that this equation has one solution.

Answer:

X-intercept is -4

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

square has 4 sides and 100 divided by 4 is 25

Answer:

For the first one
Part a:
115x + 685y >= 2300

Part b:
See explanation below

Second one:

1.5x + 1.0y >= 2000

Rest of explanation below

Step-by-step explanation:

First one.
Let x be the number of skimboards sold and y be the number of longboards sold.

Then revenue from sales of x units at $115 and y units at $685 would be

115x + 685y

This must be at lest the overhead to make zero loss

So the inequality is
115x + 685y ≥ 2300   (Answer a)

Part b

Any combination of x and y which satisfies this inequality will provide a profit. I have provided a graph of this inequality using an online graphing calculator. I am not sure what your teacher wants you to use.

Any point in the shaded region represents a combination of x and y which satisfies that inequality. However since you cannot sell a fraction of a surfboard, only points which represent whole numbers can be valid. Also only values of x and y >=0 can be chosen.  So any point in the shaded region which has x and y non-negative and x and y whole numbers will generate a profit

Again I am not sure whether this question is asking for a specific value or possible values.

A specific value can be (x=5, y = 10) which is well within the shaded region. This represents 5 skimboards and 10 longboards with a revenue of 5 x 115 + 10 x 685 = $ 7425

Or you could sell 0 skimboards and 4 longboards giving you a revenue of
4 x 685 = $2,740

Or 20 skimboards and zero long boards which is a revenue of $2300 which breaks even with the overhead

Second Question: Modeling

Using x for number of hot dogs sold and y for number of sodas, the inequality is

(a) 1.0x + 1.25y >= 2000

(b) Graph attached

(c)  5 solution points plotted

Here are 5 values that fill fit the inequality

Hope that helps. Sorry, best I could do

Step-by-step explanation:

since all sides of a cube have the same length (same principle as e.g. for a square), this means also the length and width are 10 in long.

the volume is therefore

10 × 10 × 10 = 1000 in³

Jill should expect an additional 30 to 45 hours of homework each week.

As a general rule of thumb, students can expect to spend 2-3 hours of homework for each hour spent in class. This means that for a 15 credit hour course load, Jill can expect to spend an additional 30 to 45 hours on homework each week.

However, this is just a rough estimate and the actual amount of time required will depend on the difficulty of the courses, the teaching style of the instructors, and the individual study habits and ability of the student. Additionally, some courses may require more time spent on projects, reading, or other assignments that are not factored into this estimate.

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The value of the functions 2f + 4g is {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)} and the value of 2g/h is (1,2.5)

In particular, a function maps each element of a set (called the domain) to a unique element of another set (called the range). In this context, we'll look at two functions, f and g, and explore how we can perform arithmetic operations with them.

We can think of these pairs as points on a Cartesian plane, where the x-coordinate represents the input and the y-coordinate represents the output.

Now, let's move on to the arithmetic operations with functions. The first operation we're asked to perform is 2f + 4g. To do this, we need to apply the following steps:

Multiply each ordered pair in f by 2, and multiply each ordered pair in g by 4. This means that the inputs stay the same, but the outputs are multiplied by their respective constants.

Simplify the resulting set by removing any duplicate ordered pairs.

Let's work through this process step by step for our given functions:

Multiplying f by 2 gives us: {(-2,4), (0,6), (2,10), (-2,6)}

Multiplying g by 4 gives us: {(-8,4), (0,12), (4,20), (-4,12), (12,0)}

Taking the union of these sets gives us: {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}

Simplifying this set by removing duplicates gives us: {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}

So, 2f + 4g is the function represented by the set {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}.

For the ordered pair (1,5) in g, the corresponding ordered pair in h is (5,4). So, we can compute 2g(1)/h(5) as follows:

2g(1) = 2 * 5 = 10

h(5) = 4

2g(1)/h(5) = 10/4 = 2.5

Therefore, the ordered pair (1,2.5) is in the result set.

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Answer:

even?

Step-by-step explanation:

I dont really get it

Answer:

Natural number, Composite number, Smallest perfect number

Step-by-step explanation:

Hope this helps!

The minimum acceptable rate of 1 sigma of quality production is d) 68.

This corresponds to a 68% acceptance level, which is equivalent to 1 standard deviation in a normal distribution.

A 1 sigma level corresponds to a standard deviation that captures approximately 68% of the data within a normal distribution. This means that if a process is operating at a 1 sigma level, it has a 68% acceptance rate, and the remaining 32% of the data falls outside the acceptable range

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Answer:

210

Step-by-step explanation:

1: Part/whole=%/100

2: 100-5=95

3: 3150/30=$105 uniforms.

Answer: $210

Hope this helps.

For a sample of room temperature during winter, an upper bound of the probability that the temperature in your room deviates from the mean by at least 4 degrees is equals to the 0.25.

For a sample of temperature during winter, Average temperature of room

= 70 degree

Standard deviations = 2 degrees

We have to determine upper bound of the probability that the temperature in your room deviates from the mean by at least 4 degrees. According to chebyehev's theorem, \(P( | X - μ |≥ k σ ) ≤ \frac{ 1 }{k²} \).

here , σ = 2 , μ = 70, kσ = 4

=> k = 2

So, the required upper bound of probability is \(P( | X - μ |≥ k σ ) ≤ \frac{ 1 }{k²} \)

≤ \(\frac{ 1 }{2²} \)

≤ \(\frac{ 1 }{4} \)

= 0.25

Hence, required upper bound value is 0.25.

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The equation (x + 6)^2 + (y + 4)^2 = 36 is in the standard form of the equation of a circle:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center of the circle, and r is the radius of the circle. Comparing this with the given equation, we see that the center of the circle is (-6, -4), and the radius of the circle is 6.

Therefore, the signal is located at the point (-6, -4), which is the center of the circle. This is the point from which the radio signal is transmitted.

The range of the signal is the distance from the center of the circle to any point on the circumference of the circle, which is equal to the radius of the circle.

In this case, the radius is 6, which means that the range of the signal is 6 units in all directions from the center. This means that any receiver within 6 units of the center can pick up the radio signal transmitted from this source.

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To prove that the group g is cyclic, we analyze the possible values of the order |g|. We consider the cases for each possible value and demonstrate that in all cases, g is either cyclic or leads to a contradiction.

For |g| = 1, 2, 3, 5, or 7, the groups of these orders are always cyclic.

If |g| = 4, 6, 8, 9, 10, 12, or 15, we show that g cannot have the required subgroups. Assuming g is not cyclic, we find an element x of order 2 and additional elements y, z, w, etc., also of order 2. This contradicts the given conditions since g would be isomorphic to Z₂ × Z₂ or have more than one subgroup of order 3 or 5.

For composite orders |g| = pq, where p and q are prime, we generalize the analysis. By Cauchy's theorem, g has elements of order p and q, and since there is only one subgroup of each order, they are cyclic. We show that the intersection of these subgroups cannot have an order of pq, leading to a contradiction. Hence, g is cyclic.

Therefore, in all cases, g is proved to be cyclic. QED.

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The graphs cross at x=-1 and x=1. Those are the solutions to to the equation

We know that, If two functions are equal then there solution is the intersection point of the curves.

When we determine the graph the intersection points are (0,2) and (1,1.25).

The values of x of the intersection points are the solutions of the system

Using a graphing tool, there are two intersection points and therefore the solutions are x = -1 and x [ 1.

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Based on the given information, it is unclear what type of data transformation has been performed. It is difficult to determine whether the technical condition of having approximately equal population standard deviations across each group has been satisfied.

However, if the data transformation has not significantly altered the standard deviations of the original data, then it is possible that this technical condition has been met. A statistical test, such as Levene's test, can be used to assess whether the assumption of equal variances has been violated. If the p-value from this test is greater than the significance level (e.g., 0.05), then we can conclude that there is no evidence to suggest that the population standard deviations are significantly different between groups.

Overall, without more information about the type of data transformation and the results of statistical tests, it is difficult to definitively state whether the technical condition has been satisfied on the transformed data.

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Answer:

forst mark me as a brainleast

Answer:

For the first one, the answer would be:

2/3 * 3/8 = 6/24 because,  all you have to do is multiply straight across.

2 * 3 = 6 and 3 * 8 = 24

6/24 can be simplified to 1/4 because 6 with go into the denominator 4 times, so the simplified fraction will be 1/4.

(Im not so sure what to do about the second one, so I would need to see what the options look like)

For the third:

The answer would be 3/3, because:

2 * 3 = 6

5 * 3 = 15

And the result fraction is 6/15, which matches what the image shows!

Step-by-step explanation:

Hope it helps! =D

The distance of the cars at 02:30P.M is when two straight roads divergent at an angle 65° , two cars leave the intersection at 02:00 P.M  travelling at 48m/h and the other at 56m/h.

Two straight roads divergent at an angle of 65°. Two cars leave the intersection at 02:00 P.M., one traveling at 48 m/h and the other at 56 m/h. We need to find how far apart the cars are at 02:30 P.M.

To solve this problem, we can use the concept of relative velocity. The cars are moving in different directions, so we need to find the horizontal and vertical components of their velocities.

Let's assume that the car traveling at 48 m/h is moving along the x-axis, and the car traveling at 56 m/h is moving along the y-axis.

The horizontal component of the first car's velocity (V1x) is calculated by multiplying the velocity (48 m/h) by the cosine of the angle (65°).

V1x = 48 m/h * cos(65°)

The vertical component of the second car's velocity (V2y) is calculated by multiplying the velocity (56 m/h) by the sine of the angle (65°).

V2y = 56 m/h * sin(65°)

Now, we can calculate the horizontal distance (Dx) traveled by the first car in 30 minutes (0.5 hours) using the formula:

Dx = V1x * time

Dx = (48 m/h * cos(65°)) * 0.5 hours

Similarly, we can calculate the vertical distance (Dy) traveled by the second car in 30 minutes (0.5 hours) using the formula:

Dy = V2y * time

Dy = (56 m/h * sin(65°)) * 0.5 hours

Finally, we can find the distance between the two cars (D) using the Pythagorean theorem:

D = sqrt(Dx^2 + Dy^2)

Substituting the calculated values into the equation, we can find the distance between the two cars at 02:30 P.M.

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Answer:

SAS, because vertical angles are congruent.

No I don't, I never really heard any music from them, but that doesn't mean you can't like that type of music.

Anyway have a nice day! :D

Yes, I love NF's music. I especially love his song "Mansion" because the lyrics are profound and deep; it really resonates with me. All in all, I love all, if not most, of his songs, and I can play them on repeat. I can't wait for him to release new music. I hope he garners more attention because he's really underrated.

Answer:

total = 316. 41

Step-by-step explanation:

6% of 298.50 = 17.91

298.50 + 17.91= 316.41

Answer:

0.85p is equivalent

Step-by-step explanation:

In this question, we are asked to find which expression is equivalent to p -0.15p, representing 15% discount off an item purchase.

We need to understand that if she is buying at 15% discount, this automatically means she is paying 85% of the price. As the price paid plus the discount would be equal to 100%.

Now let’s cost what she paid.

Mathematically, the amount paid would be 85/100 * p = 0.85p

The three friends spent:Jan spent $30.5, Danetta spent $18.5, and Elaine spent $37.

Let's denote the amount Jan spent as J. Danetta spent $12 less than Jan, so her expenditure is J - $12. Elaine spent twice as much as Danetta, so her expenditure is 2(J - $12). The total expenditure of the three friends is $86. By setting up an equation using these values, we can find the individual expenditures of each friend.

Let's denote the amount Jan spent as J. According to the given information, Danetta spent $12 less than Jan, so her expenditure can be expressed as J - $12. Similarly, Elaine spent twice as much as Danetta, so her expenditure can be expressed as 2(J - $12).

The total expenditure of the three friends is stated as $86. We can set up the equation J + (J - $12) + 2(J - $12) = $86 to represent the sum of their expenditures. Simplifying this equation, we have 4J - $36 = $86.

By rearranging the equation, we find 4J = $122, which implies J = $30.5. Therefore, Jan spent $30.5.

Using this value, we can calculate the expenditures of the other two friends. Danetta spent J - $12, which is $30.5 - $12 = $18.5. Elaine spent twice as much as Danetta, so she spent 2($18.5) = $37.

In summary, Jan spent $30.5, Danetta spent $18.5, and Elaine spent $37.

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Therefore, the potential profit from the mortgage scenario would be 233.1 seats.

To calculate the potential profit for a mortgage and renting scenario, we need the number of seats available (259 seats) and the average occupancy rate (90%). The profit can be determined by multiplying the number of seats by the occupancy rate.

For the mortgage scenario, assuming you own the property and generate revenue through ticket sales, the potential profit can be calculated as follows:

Profit = Number of seats * Occupancy rate

Profit = 259 seats * 0.90 (90% occupancy rate)

Profit = 233.1 seats

Therefore, the potential profit from the mortgage scenario would be 233.1 seats.

For the renting scenario, assuming you are leasing the property and generating revenue through rent payments, the potential profit calculation would be different. In this case, the profit would be determined by the rent amount minus any associated expenses (e.g., property taxes, maintenance costs, etc.).

To calculate the potential profit from renting, more information is needed, such as the rental rate and expenses associated with the property. Without these specific details, it is not possible to provide an accurate calculation of the potential profit.

In summary, the potential profit for the mortgage scenario would be 233.1 seats, based on the given occupancy rate. However, without additional information regarding the rental scenario, a specific calculation for the potential profit from renting cannot be provided.

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Answer:

Kindly read through

Step-by-step explanation:

All have been solved step by step

Let:

M = Total money = $20.56

Ca= Cost of the apple = 79 cents = $0.79

Cg = Cost of the granola bar = $1.76

Ms = Total money spent

Mr = Remaining money

So, the total money spent will be:

Ms = Ca + Cg = $0.79 + $1.76 = $2.55

And the remaining money will be:

Mr = M - Ms = $20.56 - $2.55 =$18.01

Answer:

Let's assume that the total distance of the trip is D miles. Jorge has already covered half of the distance i.e. D/2 miles at an average speed of 20 mph. Let's call the time taken to cover this distance T1.

We can use the formula: Average speed = Total Distance / Total Time

We know that the overall average speed for the entire trip is 40 mph. So, for the remaining half of the trip, Jorge needs to cover another D/2 miles at an average speed of 40 mph. Let's call the time taken to cover this distance T2.

Now we can write two equations:

1. 20 mph = (D/2) / T1  => T1 = (D/2) / 20

2. 40 mph = (D/2) / T2  => T2 = (D/2) / 40

We need to find out the average speed in the second half of the trip. Let's call it S2.

We know that the total time taken for the entire trip is T1 + T2.

Total time = T1 + T2 = (D/2) / 20 + (D/2) / 40 = D/30

We can again use the formula: Average speed = Total Distance / Total Time

So, we have:

D = D

Total time = D/30

Total distance = D/2 + D/2 = D

Average speed = Total distance / Total time

40 mph = D / (D/30)

40 mph = 30

This is not possible as the average speed cannot be higher than the maximum speed (which is 40 mph in this case). So, it means that there is no way for Jorge to achieve an average speed of 40 mph for the entire trip.

Step-by-step explanation:

Answer: 11 degrees

Step-by-step explanation:

Answer:

The number is 50.

Step-by-step explanation:

10+0.32x=26

0.32x=16

x=50