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I have 24$ to buy bagels. How does the number of bagels I can buy depend on the price of the bagels? Write a formula for the function. If the number of Bagels is N, and the price of the bagel is P, find out what N =.

Note: N is a natural number.

The solution to the system of inequalities is:

x ≥ -3.8 and

x ≤ 3

This can also be expressed as

-3.8 ≤ x ≤ 3

solving the first inequality:

-2x - 3x ≤ 19

Combining like terms, we get:

-5x ≤ 19

Dividing both sides by -5 :

x ≥ -3.8

So we have found that x is greater than or equal to -3.8.

From the second inequality:

-8x ≥ -24

Dividing both sides by -8:

x ≤ 3

So we have found that x is less than or equal to 3.

Therefore, the solution to the system of inequalities is:

-3.8 ≤ x ≤ 3

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Among the given numbers,

169 is the perfect square.

\( \sqrt{169} = 13\)

Answer: A) 23

Step-by-step explanation:

3^2 + ( 6 - 2 ) ⋅ 4 -6/3

3^2 + 4 ⋅ 4 -6/3

9 + 4 ⋅ 4 -6/3

9 + 16 -6/3

25 - 6/3

75/3 -6/3 = 69/3

69/3 = 23

Answer:

23

Step-by-step explanation:

3^2 + (6 - 2) x 4 - 6/3

3^2 + 4 x 4 - 6/3

9 + 16 - 6/3

25 - 6/3

6/3 = 2

25 - 2 = 23

Answer:

No, the pair is not a solution to the equation.

Step-by-step explanation:

For the pair to be a solution to the equation, x = -2 must lead to y = 8, o =r vice versa. This leads to being able to solve it two ways either through x or through y.

I'll solve it through x:

y = -2x - 1

with x = -2

y = -2 * - 2 - 1

y = 4 - 1

y = 3

Since y = 3, when x = -2 the pair (-2,8) is not a pair to the solution of the equation.

PS: You can double check by solving through y and you'll find x = -4.5

Answer:

2

Step-by-step explanation:

If there are 22 students and she has 24 pencils she would need to give each of them 1 pencil. 24-22= 2

The number of pencils will be left over after Mrs Blue has given each student the same number of pencils is 16 pencils.

Given that, Mrs Blue has eight packages of pencils that she wants to distribute evenly among her sixth grades students. There are 24 pencils in each package, and she has 22 students.

We need to find out how many pencils will be left over after Mrs Blue has given each student the same number of pencils.

The unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit. It is a method that we use for most of the calculations in math.

There are 24 pencils in each package and there are eight packages of pencils.

So, the total number of pencils=8×24=192

Now, she is distributing evenly among 22 students=192/22=8.72

Then, 8×22=176

Mrs Blue is distributing 8 pencils to each student.

Number of pencils left=192-176=16

Hence, the number of pencils will be left over after Mrs Blue has given each student the same number of pencils is 16 pencils.

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A and B are typically subitized, which means that they can be immediately recognized without counting. C and D are more likely to be counted.

Counting is the process of determining the number of items in a set by successively adding one. Subitizing, on the other hand, is the ability to immediately recognize the number of items in a small set without counting. The capacity for subitizing is limited to small sets typically ranging from 1 to 5 items, depending on the individual's age and mathematical ability. The answer to this question would be option C, 3. For most individuals, recognizing the number of items in a set of 3 would require counting rather than subitizing, as 3 is at the upper limit of the typical range for subitizing.

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Answer:

>85 miles

Step-by-step explanation:

Rent-a-Ride charges $55 for unlimited miles.

We Got Wheels charges a $38 initial fee, then $0.20 for every mile.

We can subtract the fees, 55-38 = $17. This is the difference between their initial fees. All we have to figure out is, how long does it take before We Got Wheels costs MORE than $17.

This can be represented as 0.2x > 17

To solve this, divide both sides by 0.2 and you will get

x > 85.

Given parametric equations are x(t) = Ln(t) and y(t) = (Ln(t))^2. We have to graph the given parametric equations using ln restrictions without a calculator or desmos.

Here, we are going to find the value of t, which helps us to graph the given parametric equation using ln restrictions.Step-by-step explanation to find the value of t are:We have,

x(t) = Ln(t) ⇒ t = e^x(t) ....(1)y(t) = (Ln(t))^2⇒ t = e^(y(t)/2) ...

.(2)From (1) and (2),

we get e^x(t) = e^(y(t)/2)e^(2x(t)) = y(t) ...

(*)We know that the domain of ln x is (0, ∞). Let's determine the range of x(t) and y(t):From equation (1), if t → 0, then x(t) → - ∞From equation (1), if t → ∞, then x(t) → ∞From equation (2), if t → 0, then y(t) → 0From equation (2), if t → ∞, then y(t) → ∞Now,

we can graph the given parametric equations using the following steps: Assign values to t such as

t = 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, .7, 0.8, 0.9, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100

Step 2: Calculate x(t) and y(t) corresponding to t values.Step 3: Plot the points obtained in step 2.Step 4: Join all the points obtained in step 3 using a smooth curve.The graph of the given parametric equation is shown below.

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Answer:

86.40

Step-by-step explanation:

First you do 80 x 0.08 to get 6.4, then you add that to 80 to get 86.40 dollars

Answer:

16

Step-by-step explanation:

you have to see how many pounds is in 32 oz then divide it 32÷2=16.

a) Find the mean, median, mode, and standard deviation for the dataMean is the average of data points. Median is the middle number in the ordered set of data. Mode is the number that occurs most frequently in a dataset.

The standard deviation is the measure of how far the set of data deviates from the mean. The given data is 33 11 23 24 8 16. Therefore,

Mean = (33 + 11 + 23 + 24 + 8 + 16) / 6= 115 / 6= 19.17

Median = the average of 11, 16, 23, and 24= (11 + 16 + 23 + 24) / 4= 74 / 4= 18.5

Mode = No mode since there is no number repeated.

Standard Deviation = √(((33-19.17)² + (11-19.17)² + (23-19.17)² + (24-19.17)² + (8-19.17)² + (16-19.17)²) / (6-1))

= √((2522.72 + 73.21 + 0.69 + 12.96 + 137.16 + 12.69) / 5)

= √(2759.43 / 5)

= √551.89= 23.49

Give the five-number summary and draw the box-and-whiskers plot for the data Five-number summary consists of the following: Min Value Q1 Median Q3 Max Value To find Q1, Q2, and Q3, arrange the data in ascending order.

Then, find the median of the lower half (Q1), median of the dataset (Q2), and median of the upper half (Q3) respectively. Finally, identify the minimum and maximum values. The given data is 33 11 23 24 8 16. Therefore, Minimum value: 8Q1: 11Q2: 18.5Q3: 24Maximum value: 33Box and whisker plot is shown below: Box and whisker plot with the five-number summary for the given data(c).

Do the data have any outliers explain From the above box-and-whisker plot, we can see that the minimum value (8) is not within the lower whisker, and therefore, can be classified as an outlier. Hence, the given data has one outlier.

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Answer:

8x = 32

x = 4

y = 6

Step-by-step explanation:

2.5y + 3x = 27

5x – 2.5y = 5

_____________

8x = 32 (equation obtained after adding the two equations)

x = 32/8

x = 4

Plug x = 4 in 2.5y + 3x = 27

2.5y + 3*4 = 27

2.5y + 12 = 27

2.5y = 27 - 12

2.y5= 15

y = 15/2.5

y = 6

The equation results of adding the two equations is 8x = 32.

The solution to the system is (4, 6).

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.

An example of a non-linear function is a quadratic function.

Given, A system of linear equations in variables 'x' and 'y'.

2.5y + 3x = 27...(i) and 5x - 2.5y = 5...(ii)'

Reaaranging eqn(i) we have

3x + 2.5y = 27...(iii)

Adding (ii) and (ii) we have,

8x = 32.       (As + 2.5y and - 2.5y cancels)

x = 32/8.

x = 4.

Putting the value of 'x' in eqn(i) we have,

2.5y + 12 = 27.

2.5y = 15.

y = 6.

So, The solution to the system is (4, 6).

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Answer:

a) 5,5kg

b) 8,65 €

Step-by-step explanation:

Daniela ha comprado 2,5 kg de naranjas a un precio de 1,75 € el kg, 1,5 kg de manzanas a 1,6 el kg y 1,5 kg de plátanos a 1,25 € el kg.

a) Si ponemos toda la fruta en la misma bolsa, ¿cuál es su peso?

Naranjas = 2,5 kg

Manzanas = 1,5 kg

Plátanos = 1,5 kg

Por lo tanto:

El peso total

= Peso de las naranjas + Peso de las manzanas + Peso de las bananas

= 2,5 kg + 1,5 kg + 1,5 kg

= 5,5 kg

b) ¿Cuánto ha pagado Daniela por toda la fruta?

Costo de las naranjas

Daniela ha comprado 2,5 kg de naranjas a un precio de 1,75 € el kg

1 kg = 1,75 €

2,5 kg = x

x = 2,5 × 1,75 €

x = 4,375 €

Costo de las manzanas

1,5 kg de manzanas a 1,6 € el kg

1 kg = 1,6 €

1,5 kg = x

Cruz multiplicar

x = 1,5 × 1,6 €

x = 2,4 €

Costo de los plátanos

1,5 kg de plátanos a 1,25 € el kg.

1 kg = 1,25 €

1,5 kg = x

Cruz multiplicar

x = 1,5 × 1,25 €

x = 1.875 €

La cantidad que Daniela pagó por toda la fruta es:

4,375 € + 2,4 € + 1,875 €

= 8,65 €

The predicted value of y when x = 3, based on the least-squares regression line equation y = 50 - 15x, is y = 50 - 15(3) = 5.

The given least-squares regression line equation y = 50 - 15x represents a linear relationship between the variables x and y. In this equation, the coefficient of x (-15) represents the slope of the line, and the constant term (50) represents the y-intercept.

To find the predicted value of y when x = 3, we substitute x = 3 into the equation and solve for y. Plugging in x = 3, we have y = 50 - 15(3). Simplifying this expression, we get y = 50 - 45 = 5.

Therefore, when x = 3, the predicted value of y based on the least-squares regression line is 5. This means that according to the regression line, when x is 3, the expected or estimated value of y is 5.

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Answer:

6 Hours and 20 minutes

Step-by-step explanation:

Answer:

6hrs and 20 mins

Step-by-step explanation:

Answer: 40

Step-by-step explanation: -5 x -8 is 40 since the negatives cancel each other out, the product is positive :)

Answer:

hello:

your answer you desire, I shall give away, to the sire, but dare not there is a price to pay, answer the riddle:

What is the product of –5 and –8?

I answer indeed, for it is 40!

Sorry I just thought that would be funny, but your answer is 40!

Hope this helps!!

I took a quiz with this question.

Step-by-step explanation:

The simplification of the given equation is -36x² - 66x - 30

Equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given that,

The equation is (-6x-5)(-6x+6).

The calculation is as follows:

(-6x-5) x(-6x+6)

36x² -36x- 30x - 30

=-36x² - 66x - 30

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Answer:

x>3

Step-by-step explanation:

7x+14>35

    -14   -14

    = 7x > 21

        / 7x  /7

        x> 3

Answer:

x > 3

Step-by-step explanation:

Divide each term by 7 and simplify.

x + 2> 5

Move all terms not containing x to the right side of the inequality.

x>3

The result can be shown in multiple forms.

Inequality Form: x > 3

Interval Notation: (3, ∞)

Helen can cut 84 lengths of string from the roll that is 9 1/3 meters long.

Hello! To find out how many lengths of string Helen can cut from the roll, we need to divide the total length of the roll by the length of each string.

First, we need to convert the mixed number 9 1/3 into an improper fraction.

To do this, we multiply the whole number by the denominator of the fraction and then add the numerator.
9 1/3 = (9 x 3) + 1 / 3 = 28/3

Now we can divide 28/3 by 1/9 to find the number of lengths of string Helen can cut:
28/3 ÷ 1/9 = 28/3 x 9/1 = 252/3 = 84

So Helen can cut 84 lengths of string from the roll that is 9 1/3 meters long.

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Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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Answer:

Unique Solution.

No Solution.

Infinitely Many Solutions.

The binomial factor of the equation \(\rm 9x^2 -64\) is 3x-8.

The algebraic expression which contains only two terms is called binomial. It is a two-term polynomial. Also, it is called a sum or difference between two or more monomials.

Factoring binomials means breaking down a binomial expression into its simplest form.

Binomials are algebraic expressions with two terms.

The given binomial is;

\(\rm 9x^2 -64\)

The binomial is determined in the following steps given below.

\(\rm =9x^2 -64\\\\= (3)^2x^2-8^2\\\\= (3x)^2-8^2\\\\= (3x-8)(3x+8)\)

Hence, the binomial factor of the equation \(\rm 9x^2 -64\) is 3x-8.

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Answer:

-2  1 / 7 ....

m-9 is 50 using the laws

Answer: 560

Step-by-step explanation:

There are [20, 22, 24, 26, 28]: 5 even integers for each ten numbers.

The 20's set can be written as 5*20 + (2+4 + 6 + 8) = 5*20 + (20) = 120

The 30's can be written: 5*30 + 20 = 170

40's: 5*40+20 = 220

50's: 5*50+20 = 270

60's: 5*60+20 = 320

Each set is incremented by 50

We want the sets for 20, 30, and 40, plus the number 50.

(120+170+220+50) = 560

You can also do this in Excel (attached). Set the first cell to 20, the next cell below equal to the cell above plus 2. Then draw the second cell down until you've reached 50. Then sum the cells to arrive at 560.

Answer:

$250

Step-by-step explanation:

1st month you spent $300. And the flight back is $200. 300+200=500. 1500-500=1000. Yoy have 1000 dollars to spend in 4 months. 1000/4=250, so each month you can spend $250.

The number οf triangles that can be fοrmed is C(5,3)C(10,3) = 10120 = 1200.

In mathematics, cοmbinatiοns refer tο the number οf ways yοu can chοοse a specific number οf items frοm a larger set οf items, where the οrder in which yοu chοοse the items dοes nοt matter.

1. a) 9!/7! = 9*8 = 72

b) The questiοn seems tο be incοmplete. Please prοvide additiοnal infοrmatiοn.

c) P stands fοr permutatiοn, which is the number οf ways tο arrange οbjects in a specific οrder. A Stands fοr cοmbinatiοn, which is the number οf ways tο select οbjects withοut regard tο their οrder.

2. a) There are 6 ways tο chοοse οne apple frοm the basket.

b) There are 6 ways tο chοοse οne apple and 9 ways tο chοοse οne pear, sο there are 6*9 = 54 ways tο chοοse οne apple and οne pear.

c) There are 15 ways tο chοοse either οne apple οr οne pear (6 apples + 9 pears - 0 cοmmοn fruits).

d) There are 698 = 432 ways tο chοοse οne fruit οf οne variety and twο fruits οf anοther variety.

3. a) There are 6 subjects tο be studied and exactly οne lessοn is planned fοr each subject. Therefοre, there are 6! = 720 ways tο make a list οf lessοns fοr this day.

b) There are 6 chοices fοr the first digit, 5 chοices fοr the secοnd digit, 4 chοices fοr the third digit, and 3 chοices fοr the fοurth digit. Therefοre, there are 654*3 = 360 different fοur-digit numbers that can be fοrmed frοm the given digits.

c) There are 8 peοple and we need tο chοοse a cοmmittee οf 4 peοple. Therefοre, there are C(8,4) = 70 ways tο chοοse a cοmmittee οf fοur peοple.

3. Let n be the number οf members in the aerοbics grοup. Each member can shake hands with n-1 οther members. Since each handshake invοlves twο peοple, the tοtal number οf handshakes is n(n-1)/2. We are given that this tοtal is 66, sο we can sοlve fοr n as fοllοws:

\($ \frac{n(n-1)}{2} = 66\)

\(n(n-1) = 132\)

\(n^2 - n - 132 = 0\)

\((n-12)(n+11) = 0\)

Since n must be positive, the only possible value is n=12. Therefore, there are 12 members in the aerobics group.

4. There are 5 points on line a and 10 points on line b. Any three points on different lines can form a triangle, as long as they are not collinear.

Therefore, the number of triangles that can be formed is C(5,3)C(10,3) = 10120 = 1200.

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Answer:

Condition:

If a series converges, then the terms of the series approach 0.

Converse:

If the terms of a series approach 0, then the series converges.