Ryan and his children went into a bakery and will buy cupcakes and brownies. Each cupcake costs $4.75 and each brownie costs $1. Ryan has a total of $50 to spend on cupcakes and brownies. Write an inequality that would represent the possible values for the number of cupcakes purchased, cc, and the number of brownies purchased, b.b.

Answer:

a. 4a−8b+4c+70

b. x=2

Step-by-step explanation:

\(a. \: (7a−5b+4c)−(3a+3b−70)\)

\(7a−5b+4c−(3a)−(3b)−(−70)\)

\(7a−5b+4c−3a−3b+70\)

\(4a−5b+4c−3b+70\)

\(4a−8b+4c+70\)

b. Let's solve your equation step-by-step.

5x+1=2x+7

Step 1: Subtract 2x from both sides.

5x+1−2x=2x+7−2x

3x+1=7

Step 2: Subtract 1 from both sides.

3x+1−1=7−1

3x=6

Step 3: Divide both sides by 3.

\( \frac{3x}{3} = \frac{6}{3} \)

x=2

Answer:

72

Step-by-step explanation:

You add the base which is 8 and 18 then multiply by 11 which is 144. after that you divide by two and get your answer 72

(a)The probability that all four adults are very confident is approximately 0.0056.

(b) The probability that none of the adults are very confident  is approximately 0.522.

(c) The probability that at least one adult is very confident is   approximately 0.478.  

What is the probability of selecting four adults at random without replacement from a sample of 1000 U.S. adults, given the proportion of very confident individuals?

The probability of selecting four adults at random without replacement from a sample of 1000 U.S. adults depends on the proportion of very confident individuals. By calculating the probability of all four adults being very confident (a), none of the four adults being very confident (b), and at least one of the four adults being very confident (c), we can determine the likelihood of these scenarios occurring based on the given information.

To solve this problem, we can use the concept of probability and combinations.

(a)Given that there are 150 out of 1000 U.S. adults who are very confident, the probability of selecting one adult who is very confident is:

P(very confident) = 150/1000

= 0.15

Since the sampling is done without replacement, after each selection, the sample size decreases by 1. Therefore, for the second selection, the probability becomes 149/999, for the third selection, it becomes 148/998, and for the fourth selection, it becomes 147/997.

To find the probability that all four adults are very confident, we multiply these probabilities together:

P(all four adults are very confident) = (0.15) * (149/999) * (148/998) * (147/997)

≈ 0.0056

(b) The probability of selecting one adult who is not very confident (opposite of very confident) is:

P(not very confident) = 1 - P(very confident)

= 1 - 0.15

= 0.85

Since we are selecting four adults at random without replacement, the probability of none of them being very confident can be calculated as:

P(none very confident) = P(not very confident) * P(not very confident) * P(not very confident) * P(not very confident)

= (0.85)* (0.85) * (0.85) * (0.85)

≈ 0.522

(c) The probability of at least one adult being very confident is the complement of none of them being very confident:

P(at least one very confident) = 1 - P(none very confident)

= 1 - 0.522

= 0.478

Therefore,

(a) The probability that all four adults are very confident is approximately 0.0056.

(b) The probability that none of the adults are very confident is approximately 0.522.

(c) The probability that at least one adult is very confident is approximately 0.478.  

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A researcher is interested in knowing the average height of the men in a village. To the researcher, the population of interest is the men in the village.  

the relevant population data are the heights of all men in the village, and the population parameter of interest is the average height of all men in the village there are 780 men in the village, and the sum of their heights is 4,617.6 feet. Therefore, the average height of all the men in the village is:

Average Height = Sum of Heights / Number of Men

Average Height = 4,617.6 feet / 780 min

Average Height = 5.92 feet

Instead of measuring the heights of all the village men, the researcher measured the heights of 13 village men and calculated the average to estimate the average height of all the village men. The sample for his estimation is the 13 village men, the relevant sample data are their heights, and the sample statistic is the average height of the 13 village men If the sum of the heights of the 13 village men is 79.3 feet, their average height is:

Average Height (sample) = Sum of Heights (sample) / Number of Men (sample)

Average Height (sample) = 79.3 feet / 13 min

Average Height (sample) = 6.10 feet.

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The maximum area that the 60 m can enclose is 225m², the dimensions of the maximal region are 15m x 15m, and the height as an fcn of the base is 30 - b.

Let the base of the rectangular region be "b",

and the height be "h" and,

it is given that the perimeter of the rectangular region = 60m

(a) write height as an fcn of base

by using the formula of the perimeter of a rectangle,

2(h+b) = 60m

we can write, h = 30 - b

⇒Area of the rectangular region

area(A) = height × base

substituting the value of h.

= (30 - b) × b

thus, A(b)= 30b - b²

to find the maximum area that the 60 m can enclose

\(\frac{dA(b)}{db}\) should be equal to 0.

substituting the value of A(b).

30 - 2b = 0

thus, b = 15

maximum area = 30b - b²

substituting the value of b.

= (30 × 15) - 15²

thus, maximum area = 225m².

dimensions of the maximum region,

for maximum area height = base = 15m

thus, the dimensions of the maximum rectangular region are 15m x 15m.

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1) 3 is the Coefficient.

2) 10 is the constant.

3) 10.8 is the ans.

Answer:

225 tons is the total

Step-by-step explanation:

Let the total amount be x

Given that,

32% of x = 72tons

32x/100 = 72tons

32x = 7200tons

x = 225 tons

To verify,

32% of 225 = 72tons

32/100 * 225 = 72 tons

72 = 72

Hence, verified.

A scientific observation must be reproducible (option a).

A scientific observation must be reproducible, meaning that the results can be consistently obtained by multiple researchers or through repeated experiments. Reproducibility is a fundamental principle of scientific research as it allows for independent verification and validation of observations.

It ensures that the observed phenomenon or data is not a chance occurrence or influenced by individual biases. By reproducing the observation, scientists can establish the reliability and robustness of the findings. The correct option is a.

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The smallest integers k and m that satisfy this are k=1450 and m=975, so N = 1131.

How to solve word problems?

It's actually fairly easy to solve word problems using a tried-and-true step-by-step approach.

If N is 22 percent less than one integer k, then

N = 78/100 k

= 38k/100

In N is 16 percent greater than another integer m, So

N = 116m / 100

= 29m/25.

Therefore, k is divisible by 50 and m is divisible by 25.

Setting these two equal, we have 38k/100 = 29m/25.Multiplying by $50$ on both sides, we get 39k = 58m

Hence, The smallest integers k and m that satisfy this are k=1450 and m=975, so N = 1131.

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The inequality that describes how many movies Parv can buy is: n ≤ 10.025

Let's denote the number of movies Parv wants to buy as n. We are given that each movie costs $3.99. To determine the inequality that describes how many movies Parv can buy, we need to consider the amount of money he has remaining after purchasing the pack of games.

Parv starts with a $50 gift card and spends $9.99 on a pack of games. The remaining amount on the gift card is $50 - $9.99 = $40.01.

Now, let's consider the cost of n movies. Each movie costs $3.99, so the total cost of n movies would be n * $3.99.

Since Parv wants to buy the movies using the remaining amount on his gift card, we can set up the inequality:

n * $3.99 ≤ $40.01

This inequality states that the total cost of n movies, represented by n * $3.99, must be less than or equal to the remaining amount on the gift card, which is $40.01.

Simplifying the inequality further, we have:

3.99n ≤ 40.01

Now, if we want to solve for n, we can divide both sides of the inequality by 3.99:

n ≤ 40.01 / 3.99

Calculating this value, we have:

n ≤ 10.02506265664

Therefore, the inequality that describes how many movies Parv can buy is:

n ≤ 10.025

This means that Parv can buy a maximum of 10 movies, as he cannot purchase a fractional part of a movie.

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The equation in slope-intercept form for the line is y = -3/2x + 5.

We have,

In slope-intercept form,

The equation of a line is written as y = mx + b, where m represents the slope of the line and b represents the y-intercept (the point where the line crosses the y-axis).

Given that the slope is -3/2 and the y-intercept is 5, we can substitute these values into the equation to obtain:

y = -3/2x + 5.

This equation tells us that for every increase of 1 unit in the x-coordinate, the y-coordinate decreases by 3/2 units.

The y-intercept of 5 indicates that the line passes through the point (0, 5).

Thus,

The equation in slope-intercept form for the line is y = -3/2x + 5.

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In a process system with multiple processes, the cost of units completed in Department One is transferred to WIP (Work in Progress) in Department Two.

Here's a step-by-step explanation:

1. Department One completes units.

2. The cost of completed units in Department One is calculated.

3. This cost is then transferred to Department Two as Work in Progress (WIP).

4. Department Two will then continue working on these units and accumulate more costs.

5. Once completed, the total cost of units will be transferred further, either to Finished Goods Inventory or Cost of Goods Sold.

Remember, in a process system, the costs are transferred from one department to another as the units move through the production process.

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Answer:

Hi, don't stress this is very easy! So basically, since those segments are equal, you would have to equate them meaning inverse operations. So 3x-4=x+12

The answer would therefore, be x=8

The predicted value of the dependent variable is -364.444 when the independent variable has value 130.

11. When x = 40, then

y =-22.989-0.456(40)

= -40.059.

The predicted value of the dependent variable is -40.059 when the independent variable has value 40.

13. When x = 20, then

y =4.985-2.012(20)

= -34.055.

The predicted value of the dependent variable is -34.055 when the independent variable has value 20.

18. When x = 130, then

y =19.116-2.936(130)

= -364.444.

The line of best fit is a straight line that comes closest to the data on a scatter plot with the least squares. It shows the relationship between two variables represented by x and y.

This line has an equation y = mx + b.

Here, m is the slope of the line, and b is the y-intercept.

The slope represents the rate of change of the variable on the y-axis concerning the variable on the x-axis.

The intercept indicates the value of the dependent variable when the independent variable is equal to zero.

To calculate the predicted value of the dependent variable y when the independent variable x has a specific value, plug in the value of x in the equation of the line of best fit and then solve the equation for y.

The resulting value of y is the predicted value of the dependent variable.

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For the linear equations provided by the coordinates in the table;

The first equation of this system is y = -2x.

The second equation of this system is y = x - 3.

The solution to the system is (1, -2).

We have four points (-5,10), (-1,2), (0,0), and (11,-22) for first equation, and four points (-8,-11), (-2,-5), (1,-2), and (7,4) the second equation.

The slope (m) is given by the formula (y2 - y1) / (x2 - x1).

For the first line, we can use the points (-5,10) and (-1,2)

m1 = (2 - 10) / (-1 - (-5)) = -8/4 = -2.

the first equation is y = -2x

the second line, we can use the points (-8,-11) and (-2,-5)

m2 = (-5 - -11) / (-2 - -8) = 6/6 = 1.

the second line has a slope of 1,

the equation should have the form y = x + c.

To find c, we can use one of the points, for instance (-2,-5):

-5 = -2 + c => c = -5 + 2 = -3.

So, the second equation is y = x - 3.

the solution to the system, we need to find where the two lines intersect.

y = -2x

y = x - 3

Setting both equation equally

-2x = x - 3

=> 3x = 3

=> x = 1.

Substituting x = 1 into the first equation

y = -2(1) = -2.

the solution to the system of linear equation would be (1, -2).

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The chance of x 92 is the best option since it corresponds to the shaded area under a normal distribution with a mean of 100 and a standard deviation of 5.

Identify the mean (μ) and standard deviation (σ),

Here,  mean μ = 100, standard deviation σ = 5
Recognize that x = 92 is within the shaded region of normal distribution, so the probability we're looking for is either x ≤ 92 or x ≥ 92.
Since the shaded region is to the right of 92, the best choice is the probability of x ≥ 92.

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The answer is 3,162

I got it by adding what I got from when I subtracted and then I added up all the things here's the work 1870+975+317=3,162

Answer:

40%

Step-by-step explanation:

subctract taxes by multiplying the total earnings by the tax rate (.24) leaving rebecca with $3230. then divide her food/rent costs by what she has left (3230)

=0.4 ; 40%

Therefore, the area of the region inside the circle and outside the cardioid is. \(2\sqrt(3)\).

To find the area of the region inside the circle and outside the cardioid, we need to integrate the difference between the areas of the circle and the cardioid over the interval where they intersect. The points of intersection are at theta = pi/6 and theta = 5pi/6, as given in the problem.

First, let's find the equation of the cardioid in Cartesian coordinates. We have r = 3 + 3sin(θ), so in Cartesian coordinates, this is:

\(x^2 + y^2\)= \((3 + 3sin(θ)) ^2\)

\(x^2 + y^2\)= \(9 + 18sin(θ) + 9sin^2(θ)\)

\((x^2 + y^2 - 9)\) = \(18sin(θ) + 9sin^2(θ)\)

Using the equation of the circle, r = 9sin(theta), we can rewrite sin(theta) as r/9:

(\(x^2 + y^2 - 9) = 18(r/9) + 9(r/9)^2\)

\(x^2 + y^2 = 3r + r^2/3\)

Now we can set up the integral to find the area:

A = 1/2 ∫\((pi/6) ^{(5\pi/6)} [81sin^2(θ) - 9 - 18sin(θ) - 9sin^2(θ)] dθ\)

\(A = 1/2 ∫(pi/6)^(5pi/6) [72sin^2(θ) - 9 - 18sin(θ)] dθ\)

Since the region is symmetric about the vertical axis theta = pi/2, we can double this integral:

A = ∫\((pi/6)^(pi/2) [72sin^2(θ) - 9 - 18sin(θ)] dθ\)

Now we can use the identity sin^2(θ) = 1/2(1 - cos(2θ)) to simplify the integral:

A = ∫\((\pi/6) ^(pi/2) [36(1-cos(2θ)) - 9 - 18sin(θ)] dθ\)

A = ∫\((pi/6) ^(\pi/2) [-36cos(2θ) - sin(θ)] dθ\)

Integrating, we get:

A = [-\(18sin(2θ) - cos(θ)] |_\pi/6^\pi/2\)

\(A = [-18sin(2(\pi/2) - 2(\pi/6)) - cos(\pi/2) + cos(\pi/6)] - [-18sin(2(\pi/6)) - cos(\pi/6)]\)

\(A = [-18sin(\pi /3) - 0.5] - [-9\sqrt(3)/2 - sqrt(3)/2]\)

\(A = -18\sqrt(3)/2 + 4.5 + 9\sqrt(3)/2 - \sqrt(3)/2\)

\(A = 4\sqrt(3)/2\)

\(A = 2\sqrt(3)\)

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Answer:

3x+1 is the correct answer

Answer:

3x + 1

Step-by-step explanation:

                       3x + 1          

x - 5     I 3x² - 14x - 5                   3x²÷x = 3x; (x-5)*3x = 3x² - 15x

              3x² - 15x                          Subtract

             -       +      

               0  +  x   - 5                       x ÷x = 1 ;  (x -5)*1 = x - 5

                       x   - 5                      Subtract

                     -     +    

                          0    

Answer:

Is there supposed to be a attachment. because I dont see anything

Step-by-step explanation:

Answer:

Anwer- 9

Step-by-step explanation:

(1+2)2 =6 but since there isnt 6, go for 9.

- Hope this helps a little

The value of a from the given quadratic equation is 9. Therefore, option D is the correct answer.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

Given that, Nancy found that x=1 is one solution to the quadratic equation (x+2)²=a.

Now, substitute x=1 in the equation (x+2)²=a, that is

(1+2)²=a

a=3²

a=9

Therefore, option D is the correct answer.

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Answer:

y=-4/3x+3

Step-by-step explanation:

Answer:

Step-by-step explanation o:

Answer: Starting with the given equation:

(cos θ)(cos θ) + 1 = (sin θ)(sin θ)

We can use the identity cos² θ + sin² θ = 1 to rewrite the right-hand side:

(cos θ)(cos θ) + 1 = 1 - (cos θ)(cos θ)

Combining like terms, we get:

2(cos θ)(cos θ) = 0

Dividing both sides by 2, we get:

(cos θ)(cos θ) = 0

Taking the square root of both sides, we get:

cos θ = 0

This equation is true for θ = π/2 + kπ, where k is any integer. So the solutions to the equation are:

θ = π/2 + kπ, where k is any integer.

Enjoy!

Step-by-step explanation:

Answer:

The three consecutive numbers cannot be 4, 5, and 6 because, the result will be 36 ≠ 18, which is indeterminate

Step-by-step explanation:

The given parameters are;

The three consecutive positive numbers Chloe is trying to find are x, x+1, x + 2

The conditions of the three positive numbers are;

6 × (x + 2) = 2 × (x + x + 1)

We check if the three consecutive numbers can be 4, 5, and 6 by substituting the values as follows;

x + 2 = 6

x + 1 = 5

x = 4

Which gives;

6 × (6) ≠ 2 × (4 + 5)

36 ≠ 18

Therefore, the three consecutive numbers cannot be 4, 5, and 6

Answer:

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

Step-by-step explanation:

hmmm

?

Answer:

7 times however many lions they have

Step-by-step explanation:

Answer:

AC = 10

Step-by-step explanation:

Formula

(x + 1) + (x + 3) + 2x = 40                Remove the brackets

Solution

x + 1 + x + 3 + 2x = 40                    Collect like terms

4x + 4 = 40                                     Subtract 4 from both sides

4x +4 -4 = 40 - 4                             Combine

4x = 36                                            Divide both sides by 4

4x/4 = 36/4

x = 9

AC = x + 1

AC = 9 + 1

AC = 10

Answer:

y = -1/5x + 6

Step-by-step explanation:

y=mx+b

hope this helps :)

Answer:

Other ingredients is 2

v =10 is the answer of 5th question (-40)/-4 = 10

Step-by-step explanation:

I. Find sum of flour and sugar

                 when c is cup, flour = 3/4 and sugar is 3/2

                 \(\frac{3}{4} +\frac{3}{2} = \frac{9}{4}\)    or \(2\frac{1}{4}\)

II. If total is \(4\frac{1}{4}\)

                so \(4\frac{1}{4} - 2\frac{1}{4}\) = 2

Hope that help :D