A small business has a revenue of 73700 if this is 34 percent more than previous year what did they make previous year

On solving the provided question, we can say that by percentage 9.6  gallons of a 34% sugar solution do we need to mix with 96 gallons of a 10% sugar solution

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

by percentage

mix with 96 gallons of a 10% sugar solution

the resulting mixture is an 18%

10/100 X 96 = 9.6

9.6  gallons of a 34% sugar solution do we need to mix with 96 gallons of a 10% sugar solution

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Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer:

0.6826

Step-by-step explanation:

The high temperatures for days in January are Normally distributed with a mean of 38 degrees Fahrenheit and a standard deviation of 5 degrees . How many days in January will have temperatures between 33 degrees Fahrenheit and 43 degrees Fahrenheit ? Round your answer to two decimal places.

Solution:

The z score is a score used in statistics to determine by how many standard deviations the raw score is above or below the mean. The z score is given by the formula:

\(z=\frac{x-\mu}{\sigma} \\\\where\ \mu=mean,s=raw\ score \ and\ \sigma=standard\ deviation\\\\Given\ that\ \mu=38^oF,\sigma=5^oF\\\\For\ x=33^oF\\\\z=\frac{x-\mu}{\sigma}=\frac{33-38}{5}= -1\\\\For\ x=43^oF\\\\z=\frac{x-\mu}{\sigma}=\frac{43-38}{5}= 1\\\\\)

From the normal distribution table, P(33 < x < 43) = P(-1 < z < 1) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 0.6826

Answer:

a

Step-by-step explanation:

aa

The number of people that had viewed the video that Marta’s mother shared online was 6271

Let f(x) represent the number of views after x days.

Given the function:

f(x) = 33(1.3)ˣ

Hence:

After 20 days, the number of views is:

f(x) = 33(1.3)²⁰ = 6271

The number of people that had viewed the video once it had been online for 20 days was 6271

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Answer:

6,271 people saw the video

Step-by-step explanation:

The two statements that help to prove that if segment PR is x, then x² = 97 are:

A line segment is a piece or part of a line having two endpoints.

Here, the statements that help to prove that if segment PR is x, then x² = 97 are Segment PR • segment SR = 81 and that Segment PR • segment SR = 16.

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The probability that either event A or B will occur is 43/60

Using the parameters given

n(A) = 29

n(B) = 14

Total number of events = 29+17+14 = 60

The probability of each event :

P(A) = 29/60

P(B) = 14/60

P(A or B ) = P(A) + P(B)

P(A or B ) = 29/60 + 14/60

P(A or B ) = 43/60

Therefore, the probability of A or B is 43/60

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The radius of the semicircle protractor is approximately 4.693 cm.

Given,Perimeter of a semicircle protractor = 14.8 cm.

To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.

Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.

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The weight of the male that has a body surface area of 2.3 would be = 108kg

The body surface area (BSA) is defined as the parameter that can be used to estimate the surface area of a person's body based on body weight and height.

The formula for BSA = √w×h/3600

The weight of the male = X

The height of the male = 176cm

The BSA = 2.3

From the formula, make w the subject of formula;

w = BSA²× 3600/h

w = 2.3²× 3600/176

w= 5.29×3600 /176

w = 19044/176

w = 108kg

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Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiii

Answer:

Emma can read 30 pages per minute

Number of book pages 28

Step-by-step explanation:

Answer:

803.84, or C.

Step-by-step explanation:

If we know the circumference then we can use that to find the radius!

-

(π =pi)

Area of a circle formula: π · r^2

-

Let us plug in the circumference into the formula (not the area formula, the circumference one!)

c=2πr

100.48=2πr - 2*3.14 =6.28

100.48=6.28r

divide both sides by 6.28!
r= 16

Now, we plug that in the area formula.

π · r^2

3.14 * 16^2

3.14 * 256 =

803.84

a) The maximum mean weight of the passengers is 187.5 lb.,b) The probability that the mean weight exceeds 187.5 lb is 0.0062.

The mean weight of each passenger is 198 lb and the standard deviation is 42 lb. The water taxi has a stated capacity of 25 passengers and a load limit of 3750 lb. The maximum mean weight of the passengers is 187.5 lb, which is determined by the load limit of 3750 lb divided by the stated capacity of 25 passengers. The probability that the mean weight exceeds 187.5 lb is 0.0062, which is calculated using the normal distribution table. If the capacity is revised to 20 passengers, the maximum mean weight is still 187.5 lb. The probability of the mean weight exceeding 187.5 lb is still 0.0062. The probability that an individual passenger exceeds the maximum load limit of 3750 lb is 0.0228, which is calculated using the normal distribution table.

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Answer:

Quadrilateral: 20.5 units

Triangle: 8.6 units

Step-by-step explanation:

Quadrilateral:
We can use the following formula to find the perimeter of a quadrilateral.

Perimeter = AB + BC + CD + DA

where AB, BC, CD, and DA are the lengths of the four sides of the quadrilateral.

In your case, the coordinates of the vertices of the quadrilateral are A(-3,-1), B(-3,3), C(2,3), and D(4,-1).

Using the distance formula, we can find the lengths of the four sides of the quadrilateral as follows:

\(AB = \sqrt{(-3 - (-3))^2 + ((-1) - 3)^2} = \sqrt{16} = 4\)

\(BC = \sqrt{(-3 - 2)^2 + ((3) - 3)^2} = \sqrt{25}= 5\)

\(CD = \sqrt{(2 - 4)^2 + ((3) - (-1))^2} = \sqrt{4+16} = 2\sqrt{5}\)

\(DA = \sqrt{(4 - (-3))^2 + ((-1) - 1)^2} = \sqrt{49} =7\)

Therefore, the perimeter of the quadrilateral is:

Perimeter = AB + BC + CD + DA

= \(4+5+2\sqrt5+7=20.5\) units

Triangle

The perimeter of a triangle is the total length of all three sides of the triangle. To find the perimeter of a triangle, we can use the following formula:

Perimeter = AB + BC + CA

where AB, BC, and CA are the lengths of the three sides of the triangle.

In your case, the coordinates of the vertices of the triangle are

E(-4,1), F(-2,3), and G(-2,4). Using the distance formula, we can find the lengths of the three sides of the triangle as follows:

\(EF = \sqrt{(-4 - (-2))^2 + ((1) - (3))^2} = 2\sqrt{2}\)

\(FG = \sqrt{(-2 - (-2))^2 + ((3) - (4))^2} = 1\)

\(EG = \sqrt{(-4 - (-2))^2 + ((1) - (4))^2} = \sqrt{4 + 9} = \sqrt{13}\)

Therefore, the perimeter of the triangle is:

Perimeter = EF + FG + EG

= 4 + 1 + \(\sqrt{13}\)

=8.6 units

Therefore, the perimeter of the quadrilateral is 20.5 units and the perimeter of the triangle is 8.6 units

Answer:

2500

Step-by-step explanation:

it is a geometric progression

r=5

The geometric sequence 4, 20, 100, 500 is \(\rm a_n = 4 \times 5^{n-1}\).

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.

This ratio is known as a common ratio of the geometric sequence.

The given geometric sequence 4, 20, 100, 500.

The common difference between the geometric sequence is;

\(\rm \dfrac{a_2}{a_1}=\dfrac{20}{4} =5\\\\ \dfrac{a_3}{a_2}=\dfrac{100}{20} =5\\\\ \dfrac{a_4}{a_3}=\dfrac{500}{100} =5\\\\\)

The formula geometric sequence is;

\(\rm a_n = a_1 \times r^{n-1}\\\\ a_n = 4 \times 5^{n-1}\)

Where a1 is the first term and r is the common difference of the given geometric sequence.

Hence, the geometric sequence 4, 20, 100, and 500 is \(\rm a_n = 4 \times 5^{n-1}\).

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The length the line segment DF is 21 units

What is Similarity of Triangles?

Two objects are comparable in Euclidean geometry if they have the same form or one has the same shape as the mirror image of the other. More exactly, one can be created by evenly scaling the other, potentially with extra translation, rotation, and reflection.

Since, the question is incomplete I can only assume that the traingles are similar

So, by rule of similarity we can say that ED/BA = DF/AC

by this 15/5 = DF/7

This implies that the length of DF is 21 units

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Answer:

Amy's Total = $11.05

Step-by-step explanation:

Dinner = $27.63

Since there are 3 people in total, each person pays $9.21

27.63 / 3 = 9.21

Amy wants to leave a 20% tip

9.21 x 0.2 = 1.842

9.21 + 1.842 = 11.052

Amy pays $11.05

Answer:

11.05 (Into MAth)

Step-by-step explanation:

Answer:

Third option is the correct answer

Step-by-step explanation:

\( f(x) = 2x^2 - 4x\) is the correct answer.

Answer: To place √31 on the number line, we first need to find its approximate value.

√31 is between 5 and 6 since 5²=25 and 6²=36. To find a more precise value, we can use a calculator or estimate using long division.

Using a calculator, we get:

√31 ≈ 5.56776436

Rounding to tenths, we get:

√31 ≈ 5.6

To place 5.6 on the number line, we can mark the point between 5.5 and 5.7.

Here's a rough sketch of what it might look like:

         0         1         2         3         4         5         6         7         8         9

         |         |         |         |         |         |         |         |         |         |

         |         |         |         |         |         |         |         |         |         |

         |         |         |         |         |         |         |         |         |         |

         |         |         |         |         |         |         |         |         |         |

         |         |         |         |         |         |         |         |         |         |

         |         |         |         |         |         |         |         |         |         |

Step-by-step explanation:

Answer:

3x - 10 = 2

3x = 2 + 10

3x = 12

÷3 = ÷3

x = 4

Answer:

The answer is 4

Step-by-step explanation:

3*4=12

12-10=2

The required frequencies are 3, 2, 4, 1.

The quantity of times a specific data value happens is known as its frequency. For instance, the score of 80 is said to have a frequency of four if four pupils receive an overall math score of 80.

Number between 79 to 83 are 3.So, frequency is 3.

Number between 84 to 88 are 2.So, frequency is 2.

Number between 89 to 93 are 4.So, frequency is 4.

Number between 94 to 98 are 1.So, frequency is 1.

Thus, required frequencies are 3, 2, 4, 1.

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Answer:

i put it in the comments bc someone was answering but 150 lol

Step-by-step explanation:

Answer:

Triangle 3

Step-by-step explanation:

I believe this is the correct answer

Answer:

you are a good friend Sayed im not sure if I can get it done before I get my license back and the whole time we go back and be out in a bit I guess that was the best thing I ever heard of the beast's I have

The computation of the increased in salary is $500.

Here, we have,

Explanation:

Data provided in the question

Salary for the first year = $50,000

CPI increase during the year = 4%

Overstated inflation = 1% i.e. 5%

The computation of the increased in salary is shown below:

= Salary of the first year × inflation rate - salary of the first year × CPI increase during the year

= $50,000 × 5% - $50,000 × 4%

= $2,500 - $2,000

= $500

Hence, The computation of the increased in salary is $500.

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complete question:

Mark's wage contract specifies a $50,000 salary for the first year, and specifies a salary increase equal to the percentage increase in the CPI during the second year. The increase in the CPI during the year was 4.0%. If the CPI overstates inflation by 1.0% (that is, the actual price increase was 3% and not 4%), at the end of the first year Mark's salary increased by $________ more than it would have without the upward bias.

Answer:

Step-by-step explanation:

You want to know the numbers of dimes and quarters that make 475 cents using 25 coins.

Let q represent the number of quarters. Then 25-q is the number of dimes, and the total value of the coins is ...

  25q +10(25-q) = 475

Simplifying the above equation gives ...

  15q +250 = 475

  15q = 225 . . . . . . . subtract 250

  q = 15 . . . . . . . . . divide by 15; number of quarters

  25 -q = 10 . . . . number of dimes

The man has 10 dimes and 15 quarters.

Answer:

The answer is B.

Step-by-step explanation:

x^2+5x-9-(7x+4)

x^2+5x-9-7x-4

x^2-2x-9-4

x^2-2x-13