1=1/5(x-25) solve for x simplest form ​

The number of the blueberries is 31.

In this case,  the only way that we can be able to obtain the number of the pints of the blueberries that she sold is by the use of a simultaneous equation.

Let the number of  the blueberries be x and the number of the raspberries be y.

We have

x + y = 57 ------ (1)

1.75x + 2.40y = 116.65 ------- (2)

x = 57 - y ------ (3)

Then we have;

1.75(57 - y) + 2.40y = 116.65

99.75 - 1.75y + 2.40y = 116.65

Collecting like terms;

- 1.75y + 2.40y = 116.65 - 99.75

0.65y = 16.9

y = 16.9/0.65

y = 26

To obtain the number of blueberries

x + 26 = 57

x = 57 - 26

x = 31

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The distance between the points (-6, 4) and (5, 4) is 11 units.

To find the distance between two points in a Cartesian coordinate system, we can use the distance formula:

Distance = √[(x2 - x1)² + (y2 - y1)²]

Given the two points (-6, 4) and (5, 4), we can plug in the coordinates into the distance formula:

Distance = √[(5 - (-6))² + (4 - 4)²]

        = √[(5 + 6)² + 0²]

        = √[11² + 0]

        = √[121]

        = 11

Therefore, the distance between the points (-6, 4) and (5, 4) is 11 units.

In this case, since the y-coordinates of both points are the same (4), the distance between them only considers the difference in their x-coordinates. As the x-coordinate of the second point is 11 units greater than the x-coordinate of the first point, the distance between them is simply the absolute value of the difference, which is 11.

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From the information provided, the probability that all the balls end up in the first bin is (1/n)ⁿ.

Let X be the number of balls that end up in the first bin. Since each ball is equally likely to end up in any of the bins, the probability that a particular ball ends up in the first bin is 1/n.

Therefore, X follows a binomial distribution with parameters n and p = 1/n, so the expected value of X is given by:

E(X) = np = n(1/n) = 1

So we expect exactly one ball to end up in the first bin.

As for the probability that all the balls end up in the first bin, we can calculate this by considering the probability that each ball ends up in the first bin and multiplying them together. Since each ball is independently and uniformly at random distributed among the n bins, the probability that a particular ball ends up in the first bin is 1/n. Therefore, the probability that all n balls end up in the first bin is:

(1/n) × (1/n) × ... × (1/n) (n times)

which simplifies to:

(1/n)ⁿ

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The cylinder has a volume of 150.796 in³. The cylinder has a surface area of 175.929 in².

The quantity of three-dimensional space that an object or closed surface occupies is referred to as volume in mathematics. The cubic units of volume are m³, cm³, in³, and so on.

The sum of all of an object's faces is its surface area in three dimensions. Wrapping, painting, and finally building things to achieve the best possible design are examples of real-world applications of the concept of surface areas.

Given that a volume of cylinder = h × r² × π

                         h = 12 in

                          r = 2 in

                       volume = ?

Volume of cylinder = h × r² ×π

                                 = =12 × 3.14×(2)²

                                       =37.68 × 4

                                       =150.796 in³

B). Surface area of cylinder= 2πr² + 2πrh

                                         =2× 3.14 × (2)²+2× 3.14× 2×12

                                          =175.929in²

The formula V=r²(h) can be used to determine a cylinder's volume. Simply multiplying the area of the circular base shape by the height is all that is required to determine a cylinder's volume.

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Answer:

Rounded to the nearest whole number, the company caught 1,360,630 fish in total over the 20 years.

Step-by-step explanation:

Given that a major fishing company does its fishing in a local lake, and the first year of the company's operations it managed to catch 115,000 fish but due to population decreases, the number of fish the company was able to catch decreased by 6% each year, to determine how many total fish did the company catch over the first 20 years, to the nearest whole number, the following calculation must be performed:  

Year 1: 115,000

Year 2: 115,000 x 0.94 = 108,100

Year 3: 108,100 x 0.94 = 101,614

Year 4: 101,614 x 0.94 = 95,517.16

Year 5: 95,517.16 x 0.94 = 89,786.13

Year 6: 89,786.13 x 0.94 = 84,398.96

Year 7: 84,398.96 x 0.94 = 79,335.02

Year 8: 79,335.02 x 0.94 = 74,574.92

Year 9: 74,574.92 x 0.94 = 70,100.42

Year 10: 70,100.42 x 0.94 = 65,894.40

Year 11: 65,894.40 x 0.94 = 61,940.73

Year 12: 61,940.73 x 0.94 = 58,824.29

Year 13: 58,824.29 x 0.94 = 54,730.83

Year 14: 54,730.83 x 0.94 = 51,446.98

Year 15: 51,446.98 x 0.94 = 48,360.16

Year 16: 48,360.16 x 0.94 = 45,458.55

Year 17: 45,458.55 x 0.94 = 42,731.03

Year 18: 42,731.03 x 0.94 = 40,167.17

Year 19: 40,167.17 x 0.94 = 37,757.14

Year 20: 37,757.14 x 0.94 = 35,491.71

TOTAL: 1,360,629.60

Thus, rounded to the nearest whole number, the company caught 1,360,630 fish in total over the 20 years.

Answer: Medians, Less

Part A

Use the measures of center from the box plots to make an inference about the data. Use the drop-down menus to explain your answer.

Based on the medians, the plants in Group A grew

less on average, as compared to the plants in Group B.

Part B Answer: Greater, Less

The range and IQR are greater

in Group B as compared to Group A, so there is less variability in the growth of plants in Group B.

Answer:

Answer: Medians, Less

Part A

Use the measures of center from the box plots to make an inference about the data. Use the drop-down menus to explain your answer.

Based on the medians, the plants in Group A grew

less on average, as compared to the plants in Group B.

Part B Answer: Greater, Less

The range and IQR are greater

in Group B as compared to Group A, so there is less variability in the growth of plants in Group B.

Step-by-step explanation:

Yep, it's C. The answer is C

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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The true statement is; II. Option D

From the information given, we have that;

I. The set of all second-degree polynomials with the standard operations is a vector space

II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space

III. The set of second quadrant vectors with the standard operations is a vector space

Note that;

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Answer: A plane has two dimensions because it is a flat surface that has length and width but no depth.

Answer:

Surface answer

Step-by-step explanation:

Because the surface has a length and width and does not have a depth

Answer:

2198

Step-by-step explanation:

Exponential growth problem.

P(t) = PO* e^(rt)

where:

PO = initial population

P(t) = population after time t

r = continuous growth rate

t = time

In this problem, we have:

PO= 1,891 (current population) r = 0.03 (3% per year as a decimal)

We want to find the population 5 years from now, so we can set t = 5:

P(5) = 1,891 * e^(0.03 * 5)

P(5) = 1,891 * e^0.15

P(5) = 1,891*1.1628

P(5) = 2,198.93

Therefore, the population 5 years from

now will be approximately 2,198 people.

ChatGPT

The probability that if 3 donations are made, all 3 of them can be safely used on blood transfusion with someone that has type A will be D. (0.27 + 0.49)³ = 0.4390

It should be noted that probability simply means the chance that a particular event will occur.

In this case, the probability that if 3 donations are made, all 3 of them can be safely used on blood transfusion with someone that has type A will be:

= (27% + 49%)³

= (0.27 + 0.49)³

= 0.4390

The probability is 0.4390.

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Answer:

46 boxes

Step-by-step explanation:

1012 / 22 = 46

Answer:

269.75

Hope this helps:)

Step-by-step explanation:

Answer:

22%

Step-by-step explanation:

The speed of the plane is equal to 120 mph.

In Mathematics and Geometry, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using miles per hour (mph).

Mathematically, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Time = distance/speed

Let the variable s represent the speed of the plane in miles per hour. Therefore, an equation that models the situation can be written as follows;

240/s = 80/s - 80

80s = 240s - 19200

19200 = 160s

s = 19200/160

s = 120 mph.

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Answer:

A) \(\displaystyle y=\left \{ {{x^3-4,\,x\leq 1} \atop {x^2-3,\,x > 1}} \right.\)

Step-by-step explanation:

The first "piece" of the piecewise function, \(y=x^3-4\), contains \(x=1\) because of the closed dot there.

The second "piece" of the piecewise function, \(y=x^2-3\), doesn't contain \(x=1\) because of the open dot there.

What occurs between the two pieces is called a jump discontinuity.

Therefore, A is the correct answer.

Answer:

Question 1091219: T is the midpoint of PQ PT=6x+5 a. Find the value of x. TQ=8x-6 b. Find PT, TQ, and PQ. Answer by greenestamps(7331) (Show Source): You can put this solution on YOUR website! If T is the midpoint of PQ, then PT = TQ.

Step-by-step explanation:

Answer:

PQ = 8x + 2

Step-by-step explanation:

Since, T is the midpoint of PQ.

Therefore,

PQ = PT + QT

= (6x - 3) + (2x + 5)

= 6x + 2x + 5-3

PQ = 8x + 2

The graph of the feasible region is attached

From the question, we have the following parameters that can be used in our computation:

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

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Answer:

P = 0.309

Step-by-step explanation:

A rectangle and two semicircles make up this figure. The perimeter of this figure is 423.52m.

The complete length of a shape's boundary is referred to as the perimeter in geometry. The perimeter of a shape is determined by adding the lengths of all of its edges and sides. Linear measurements like centimeters, meters, inches, and feet are used to express its dimensions. The area around a form's edge is known as its perimeter. The perimeter of a shape is always calculated by summing the lengths of its sides.

Perimeter=2*1/2πd+2a

d=68, a=105

Perimeter = 2*1/2*3.14*68+2*105

423.52m

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Step-by-step explanation:

\((9\pi \frac{2}{2} )\div 3\pi \\ \)

\( \frac{9\pi}{3\pi} \\ \)

\(3\pi\)

3π is the answer

Answer:

42

Step-by-step explanation:

Since 7x5=35, then 7x6=42. This is known as the fives fact rule, and I used it to figure it out.

Hope this helps! :)

Following are the facts to solve the given expression:

Given:

\(\to 7 \times 6\)

To find:

facts=?

Solution:

\(\to 7 \times 6=42\)

Fact 1:

\(\to 42= 6 \times 7\)

Fact 2:

\(\to 42= 3 \times 2 \times 7\)

Fact 3:

\(\to 42 =(4 \times 10)+ (2\times 1)\)

Fact 4:

\(\to 42= (5\times 8) + (2\times 1 )\)

Fact 5:

\(\to 42=(3 \times 12)+(2 \times 3)\)

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Answer:

145cm                      

Step-by-step explanation:

90+10+9+8+7+6+5+4+3+2+1

is simply changing from percentage form to a decimal form usually, but the fractional form works the same.  Check the picture below.

Answer:

X = 25

Step-by-step explanation:

Answer:

x and y are the variables

The ordered pair (3, - 2) is not a solution to the equation 2x - y = 4

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

Pair in Order = (x,y)

x is the abscissa, the distance measure of a point from the primary axis x

y is the ordinate, the distance measure of a point from the secondary axis y

Given, an equation 2x - y = 4 now if  (3, - 2) is an ordered pair then putting the numerical value of x must satisfy the y value.

when x = 3,

2(3) - y = 4.

6 - y = 4.

- y = 4 - 6.

- y = - 2.

y = 2.

So,  (3, - 2) is not a solution to an equation 2x - y = 4.

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Answer:

Written in Python

print("Enter three sides of a triangle: ")

length = []

for i in range(0,3):

    inp = int(input(""))

    length.append(inp)    

length.sort()

if length[1]+length[2] > length[0] and length[0] + length[2] > length[1] and length[0] + length[1] > length[2]:

    print("Triangle")

    if length[2]**2 == length[0]**2 + length[1] **2:

         print("Right Angled")

    else:

         print("Not Right Angled")

else:

    print("Not Triangle")

Step-by-step explanation:

This line prompts user for sides of triangle

print("Enter three sides of a triangle: ")

This line declares an empty list

length = []

The following iteration gets user input

for i in range(0,3):

    inp = int(input(""))

    length.append(inp)    

This line sorts user input

length.sort()

The following if condition checks if user input is triangle

if length[1]+length[2] > length[0] and length[0] + length[2] > length[1] and length[0] + length[1] > length[2]:

The following is executed is the if condition is true

    print("Triangle")

The following if condition checks if user input forms a right angled triangle

    if length[2]**2 == length[0]**2 + length[1] **2:

         print("Right Angled")

    else:

         print("Not Right Angled")

This is executed if user input is not a triangle

else:

    print("Not Triangle")

Answer:

Step-by-step explanation:

When the process starts, the water is flowing slowly, since there is only 1 valve open. That represents the part on this where the line is going almost horizontally.

When the operator opens the second valve also, then there will be more water released at once, which means that the water will come out faster, and take less time. That represents the middle part of the line, which is almost vertical.

When the operator shut's down the second valve, then the process gets slower, and that represents the part which is going slow again. And that represents the 3rd part, where the line is going almost horizontal again.

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