A theme park collected $900 in entry fees for 150 visitors on Friday. The amount collected varies directly with the number of visitors on a particular day.

Write an equation that gives the amount collected in fees,f for a given number of visitors,v

It should be noted that the ratio in simplest form of 45 to 9 is 5:1.

It should be noted that a ratio and fraction are simply used in mathematics to compare one thing with something else.

In this case, it should be noted that we want to write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator 45 to 9.

Therefore, the ratio of 45 to 9 will be:

= 45 / 9

= 5:1

Therefore, it should be noted that the ratio in simplest form of 45 to 9 is 5:1.

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If a gardener can care for the greens property in 5 hours and if his helper assists him, they will be done in 4 hours, then the number of hours it takes for the helper to do it alone is equal to 20.

The number of hours it takes for the helper to do it alone can be found as follows;

Time taken by both the gardener and the helper to complete the job=4

Work done by both the gardener and the helper in one hour = 1/4

Similarly,

Time taken by the gardener to complete the job = 5

Work done by the gardener in one hour = 1/5

The number of hours it takes for the helper alone can be calculated by subtraction. Subtracting the fraction done by the gardener in 1 hour from the fraction done by both the gardener and the helper in 1 hour;

1/4 - 1/5

As the common denominator is 20, we multiply 1/4 by 5 and 1/5 by 4.

5/20 - 4/20 = 1/20

The number of hours it takes for the helper to do it alone can be found by finding the reciprocal of 1/20 which is equal to 20/1

20/1 = 20

Hence, the helper takes 20 hours to do it alone.

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Answer:

There are 18 bananas

Step-by-step explanation:

6 x 3 = 18

18 bananas.

The prime decomposition is [tex]5^{2}[/tex]×61.

Prime factor decomposition of a number means writing it as a product of prime factors. To factorize a number, divide it by the first possible prime number. Take a resulting quotient below the number.

Therefore the prime decomposition is

       [tex]5^{2}[/tex] × 61

Here 5 and 61 is a prime number .

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Answer: 7+21

Step-by-step explanation:

Answer:

1/3 or 1 over 3 but that is the correct answer

The slope intercept equation for a line that passes through the points (-2,4) and (3,-5) is y = -9/5x ₊ 2/5.

Given the points are:

P₁ = (-2,4) = (x₁ , y₁)

P₂ = (3,-5) = (x₂ , y₂)

Therefore, the equation of the line that passes through the above points is:

y = mx ₊ b , Will be the equation to arrive to at the very end, but we need m & b, the slope and the y-intercept.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

= ( -5 - 4 ) / ( 3 - ( -2) ) = -9 / 5

∴ m = - 9/5

Using either P₁ or P₂, plug in one of their respective x- and y-values into:

y = -9/5 x + b

substitute (3,-5)

₋5 = (₋9/5)(3) ₊ b

₋5 = ₋27/5 ₊ b

₋5₊27/5 = b

₋ 25 ₊ 27/5 = b

b = 2/5

slope intercept equation:

y = mx ₊ b

y = -9/5x ₊ 2/5

Therefore, y = -9/5x ₊ 2/5 is the equation of the line that passes through both points (-2, 4) and (3, -5).

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The tracts of land in the study is the Control group.

The tracts of land in the study are reforested using the previous best practice whose results are already known. Now, it is not known, how the proposed method of reforestrey to plant a variety of trees at different intervals would grow. So, the tracts of land of previous plant can serve as a standard to which comparisons can made as to whether the newly proposed method is performing better than the previous or not.

This study was conducted at the Agua Salud Project site located in the Panama Canal Watershed (9° 13 N′, 79° 47′ W, 33 m amsl) with an average rainfall of 2700 mm annually, 80% of which falls between May and mid-December. Mean daily maximum and minimum temperatures are 32 °C and 23 °C . The topography is characterized by short and steep slopes. Soils are silt clay to clay with pH values of 4.4 to 5.8 and have very low levels of both plant available and total phosphorus. The data were collected from the Agua Salud native species and T. grandis plantation, both established in 2008 and planted in the same 3 m by 3 m spacing configuration.

Despite this information, changing landowners’ perceptions and transitioning from one species to a lesser known one, is a risk for the landowner and may require financial incentives.

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Solution of the equation for G is given as G =  Fr²/Mm

According to the question we have been given the formula for evaluating the value of F which is given as :

                           F = GmM/r²

Now we need to solve the equation for evaluating G. Which is given step by step as :

                        F = GmM/r²

Multiplying both the sides by r² we get

                       Fr² = GmM*r²/r²

                       Fr² = GmM

dividing both the sides by Mm we get

                        Fr²/Mm = GmM/Mm

                        Fr²/Mm = G

                   or, G =  Fr²/Mm

Hence the solution for G is given as   G =  Fr²/Mm

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Answer:

25 degrees

Step-by-step explanation:

Answer:

261111111/100000

Step-by-step explanation:

Answer: 33. r=13.6   34. m=12

Step-by-step explanation:

33.

-0.8+r=12.8

-0.8+r+0.8=12.8+0.8

r=13.6

34.

[tex]\displaystyle\\-\frac{m}{3}=-4\\\\\frac{m}{-3}=-4[/tex]

Multiply both parts of the equation by -3:

[tex]\displaystyle\\\frac{m}{-3}(-3)=(-4)(-3)\\\\ \frac{m(-3)}{-3} =12\\\\m=12[/tex]

Answer: so the answer will be 90 white chocolates that are in the box

Step-by-step explanation:

so first you have a box of chocolates has 3 milk chocolates for every 2 white chocolate. so first you need to divide 3 divided by 2 which is 1.5

and after you need to multiply 1.5 x 60= 90

A school is studying Math for Data and Financial Literacy standardized test scores. A bar chart could be used to represent the data because test scores are numerical

This is further explained below.

Generally, A bar chart or bar graph is a kind of chart or graph that displays categorical data using bars of varying lengths and heights that are proportionate to the values that they represent. It is possible to lay out the bars either vertically or horizontally.

Column charts are occasionally used interchangeably with vertical bar charts.

In conclusion,Standardized exam results in Math for Data and Financial Literacy are now being analyzed at a school.

Due to the numerical nature of the test results, a bar chart could be an appropriate representation of the data.

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Answer:

B (A reflection over the line y = x)

Step-by-step explanation:

I just think of it as imagining a positive diagonal line (like this --> /)

Hope this helps in some way

The result of the given logarithmic expression log₉27-log₉9 is log₉ 3.

A logarithmic term is one that embodies a number in logarithmic form. It can also be referred to as a log term.

A quantity is also the product of two or more quantities. As a result, a term could be the product of two or even more quantities, at least one of which can be in logarithmic form. In such cases, the terms are referred to as log terms.

A quantity is also the quotient of two quantities. So, if a term is also a quotient of quantities, and at least one of the quantities can be expressed in log form, the terms are mathematically referred to as log terms.

Now, as per the given question;

=  log₉27-log₉9

So, applying the Quotient Rule in the given expression;

=  log₉ (27/9)

=  log₉ 3

Thus, the given expression simplified in the logarithmic expression as log₉ 3.

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Answer:

Step-by-step explanation:

Answer: I believe A is 52 degrees.

Solution:  Find angle c (D + C adds up to 180 degrees cuz its a line)

So do 180-116=64 degrees

Assuming this is an isosceles triangle because the sides on d and c look equal, we know that those 2 angles add up to 128 degrees(64 + 64).

Therefore, since the shape is a triangle(adds up to 180 degrees) you just do 180 minus 128 to get angle A which is 52 degrees.

Answer:

Step-by-step explanation:

step 1: Absolute value inequality entered

     |14c+5| > 7

step 2: Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |14c+5|

For the Negative case we'll use -(14c+5)

For the Positive case we'll use (14c+5)

step 3:  -(14c+5) > 7

    Multiply

     -14c-5 > 7

    Rearrange and Add up

     -14c > 12

    Divide both sides by 14

     -c > (6/7)

    Multiply both sides by (-1)

    Remember to flip the inequality sign

     c < -(6/7)

    Which is the solution for the Negative Case

step 4:

(14c+5) > 7

    Rearrange and Add up

     14c > 2

    Divide both sides by 14

     c > (1/7)

    Which is the solution for the Positive Case

c < -6/7

 c > 1/7

Answer:

AB and BC are the sides of a parallelogram, ABCD. AB = 5 cm, BC = 7 cm and ABC = 60 degrees. Draw the lines AD and CD to complete the parallelogram.

Step-by-step explanation:

Given :

B is between A and C

AB= x²-6x

BC= x²+20x

AC= 60-12x

B divide into 2 equal parts

AB and AC are equal

AC = AB +BC

60-12x = x²-6x + x²+20x

[tex]60= 2x^{2} -6x +20x +12x[/tex]

[tex]60 = 2x^{2} -6x +32x\\[/tex]

[tex]60= 2x^{2} +26x[/tex]

[tex]30 = x^{2} +13x\\\\[/tex]

[tex]x^{2} +13x -30 = 0\\x^{2} +15x-2x-30 =0[/tex]

[tex]x(x+15) -2 (x+15) =0[/tex]

[tex](x-2) (x+15) =0\\[/tex]

x=2 , x=-15

x never be negative the x is 2

BC =  x²+20x

BC = 2*2 +20*2

BC = 4 +40

BC = 44

length of BC =44

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Solving the problem as per a linear equation, the value of b is found to be 1/10.

A linear equation is a form of algebraic equation in which the highest value of a variable is always equal to 1. Such an equation forms a straight line when carved on a graph.

As provided, the given equation is,

1/b = 4/2b - 10

or, 1/b = 2/b - 10 (as 4/2 = 2 )

or, 1/b - 2/b = - 10

or, 1/b ( 1 - 2) = - 10

or, - 1/b = - 10, ( we are using cross multiplication )

so, b = 1/ 10 ( as a negative sign on both sides will be nullified)

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Answer:

the data below are the tempretures on randomly

Step-by-step explanation:

Answer:

In plane Euclidean geometry, a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal

Step-by-step explanation:

7(-6)^2+8

-42^2

-1,764+8

-1,772

The evaluation of the expression given in surd form is 6.

Surds are expressions that use a root symbol, such as a square root, or another root symbol. Since the decimals of irrational numbers do not finish or recur, they cannot be expressed accurately in decimal form, hence surds are used instead.

Surds, in mathematics, are square root values that cannot be factored into a whole number or an integer. Numbers that are surds are irrational numbers.

From the given expression, the cube root of 216 can be computed as:

[tex]\sqrt[3]{216}[/tex]

Factor the number 216 as:

= [tex]\sqrt[3]{6^3}[/tex]

= 6

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Answer:

The correct answer is B

Step-by-step explanation:

It is A because all angles must be congruent to there opposing sides.

Hope that helps! Have an amazing rest of your day! :)

The linear equation of the table is y = 5x + 2.

when x = 20, y = 102

when y = 42, x = 8

Linear equation can be represented in slope intercept form as follows;

y = mx + b

where

Therefore,

m = 17 - 12 / 3 - 2

m = 5 / 1

m = 5

Therefore, let's find the y-intercept using (2, 12)

y = 5x + b

12 = 5(2) + b

12 = 10 + b

b = 12 - 10

b = 2

Therefore, the linear equation is y = 5x + 2.

when x = 20

y = 5(20) + 2 = 100 + 2

y = 102

when y = 42

42 = 5x + 2

42 - 2 = 5x

5x = 40

x = 40 / 5

x = 8

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The unit rate of downloading per movie for each person is for Timmy it will take 2.5 minutes and for Jonathan it will take 1.66 minutes.

In question it is not given that what to do, so we will find the rate of downloading per movie for each person.

With the help of following steps as given below :

Timmy takes 15 minutes to download 6 movie.

6 Movies = 15 Minutes

1 Movie   = 15/6

1 Movie   = 2.5 Minutes

Jonathan takes 20 minutes to download 12 movies.

12 Movies = 20 Minutes

  1 Movie   = 20/12

  1 Movie   = 1.66 Minutes

Therefore, Timmy and Jonathan will take 2.5 and 1.66 minutes, respectively, to download one movie.

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The equation of solution  ln (2-x)=1 is -0.718.

ln (2-x)=1

2-x = e

x = 2-e

x= -0.718

A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

Two expressions joined by the equals symbol ("=") form an equation. The "left hand side" and "right hand side" of the equation are the expressions on either side of the equals sign. The right side of an equation is frequently considered to be zero.

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