in a class of 28 students, there are 13 boys. what is the ratio of boys to girls in the class

Answer:

          ______

x  =  − 0.  142857

Step-by-step explanation:

An inverse variation function with a small value for k. Therefore, option C is  the correct answer.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

The association between x and y can be classified in two ways, as follows:

Direct proportional: when the input x increases, the output y also increases.

Inverse proportional: when the input x increases, the output y decreases.

For this problem, we need an inverse proportional function, that has the following format:

y = k/x.

The lower the value of k, the lower the value of y when x goes to infinity.

Therefore, option C is  the correct answer.

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The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.

In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:

x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]

x = 284.372 mi

The distance x is equal to 284.372 miles.

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Answer:

60,000,000

Step-by-step explanation:

5 and up - round up

4 and down - round down

You can see 7, so we round up.

57,824,279 is rounded to 60,000,000

Let me know if I'm wrong!

Answer:

57,824,279 to the nearest ten million is 60,000,000

Look at the 5 and the 7. Since 7 is greater than 5, round up to 6. We will have 60,000,000.

Step-by-step explanation:

Solve for y by simplifying both sides of the inequality, then isolating the variable.

Inequality Form:

y<−10 or 1<y<6

Interval Notation:

(−∞,−10)∪(1,6)

Answer:

false

a rhombus only has 4 equilateral sides and a square has 4 equilateral sides and all interior angles are right angles therefore that question is false

Answer:

x≤20

Step-by-step explanation:

x+5≤25

 -5.  -5

x≤20

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Answer:

The answer is B

Step-by-step explanation:

20+5=25 and x can be greater than or equal to 25

Answer:

  10.  x = 4

  11. UT = 44

Step-by-step explanation:

You want the value of x and the length of segment UT that bisects chord PR at point U into halves marked UP = (9x -3) and UR = (7x +5). The radius of circle T is 55 units.

Point U is the midpoint of chord PR, so ...

  UP = UR

  9x -3 = 7x +5

  2x = 8 . . . . . . . . . add 3-7x

  x = 4 . . . . . . . . divide by 2

Segments UP, UT and TP form a right triangle with one leg ...

  UP = 9(4) -3 = 33

and hypotenuse 55.

We observe that the ratio of these measures being 33/55 indicates triangle PUT is a 3-4-5 right triangle, with scale factor 11. That means UT is 4·11 = 44 units.

  UT = 44 units

__

Additional comment

Recognizing triangles made from Pythagorean triples, such as {3, 4,5}, {5, 12, 13}, {7, 24, 25}, or {8, 15, 17} can save a lot of work. If you don't recognize these, you can find the missing side length from ...

  TP² = UP² +UT²

  UT = √(TP² -UP²) = √(55² -33²) = √1936 = 44

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The regression equation, given the line of best fit and the points on the line, would be F ( x ) = 30x + 685

To find the regression equation, you first need to find two points on the line on the graph. Those two lines would be ( 3, 775) and ( 4 , 805).

The next step would be to find the slope of the line :

= ( Y₂ - Y ₁ ) / ( X ₂ - X  ₁ )

= ( 805 - 775 ) / ( 4 - 3 )

= 30 / 1

= 30

Then use the points to find the y - intercept :

y =  mx + y- intercept

775 = 30 ( 3 ) + y - intercept

y - intercept = 775 - 90

y - intercept = 685

The regression equation is:

F ( x ) = 30x + 685

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The statements that are true regarding the expression with the exponents -1, -3, and 1 are;

An exponent is a quantity or power to which a value, expression or number is to be raised.

The specified expression can be presented as follows;

8⁻¹ × 8⁻³ × 8

Therefore; 8⁻¹ × 8⁻³ × 8 = 8⁽⁻¹ ⁺ ⁻³ ⁺ ¹⁾ = 8⁻³ = 1/8³

1/8³ = 1/512

Similarly, we get; 8⁷ × 8⁻¹⁰ = 8⁽⁷ ⁻ ¹⁰⁾ = 8⁻³ = 1/8³

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The images best represents the result is image W.

We have, the image is rotated about the x-axis.

Now, rotating around x axis can give the other half of the image.

Also, rotating about x axis gives the mirror image of the figure.

So, the rotation leads to a circle.

and, In three dimensional we can say that Sphere.

Thus, the required image is W.

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The number of times larger the dimensions of the larger prism with surface area of 200 ft² to the smaller prism of 8 ft² is 25 times.

The surface area of a rectangular prism is as follows;

surface area = lwh

where

Therefore,

surface area of the first prism = 8 ft²

surface area of the second prism = 200 ft²

Therefore, the number of times larger the dimensions of the larger prism with surface area of 200 ft² to the smaller prism of 8 ft² is as follows;

200 / 8 = 25

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25, I got it right on my lesson... The other person is correct!!!!!!!

Answer:

  $11,991.60

Step-by-step explanation:

An appropriate formula is ...

  A = P(1 +r/n)^(nt)

where r is the annual rate, n is the number of time per year interest is compounded, and t is the number of year. P is the principal invested.

Filling in the given numbers, we have ...

  A = $2000(1 +0.12/12)^(12·15) = $2000(1.01^180) ≈ $11,991.60

The account balance after 15 years will be $11,991.60.

Answer:

\(x\approx10.6\)

Step-by-step explanation:

Recall that \(sin\theta=\frac{opposite}{hypotenuse}\):

\(sin62^\circ=\frac{x}{12}\)

\(12sin62^\circ=x\)

\(10.59537111=x\)

\(x\approx10.6\)

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Answer:

Your answer is A

Step-by-step explanation:

The graph of y = f(x) will shift left 2 units.

There are  0.09779 grams in 7.4 x 10^19 Atoms of copper.

The number of grams in a given number of atoms of an element, we need to use the concept of molar mass and Avogadro's number.

The molar mass of an element represents the mass of one mole of that element. For copper (Cu), the molar mass is approximately 63.546 grams per mole.

Avogadro's number, denoted as N_A, is the number of atoms or molecules in one mole of a substance. It is approximately 6.022 x 10^23 atoms/molecules per mole.

To calculate the mass of a given number of atoms, we can use the following steps:

Step 1: Determine the number of moles of copper atoms.

Given: 7.4 x 10^19 atoms of copper

Number of moles = (Number of atoms) / (Avogadro's number)

Number of moles = (7.4 x 10^19) / (6.022 x 10^23)

Step 2: Calculate the mass using the molar mass of copper.

Mass = (Number of moles) x (Molar mass)

Mass = (7.4 x 10^19) / (6.022 x 10^23) x 63.546

Now, we can perform the calculations:

Mass ≈ 0.09779 grams

Therefore, there are approximately 0.09779 grams in 7.4 x 10^19 atoms of copper.

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The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.

The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.

Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.

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Answer:

42x-42

Step-by-step explanation:

(7x)(6x)+(6)(-7)=42x°-42°

Answer:\(-x+4\)

Step-by-step explanation:

Combine like terms:

\((4x+-5x)+(5+-1)\)

\(= -x+4\)

Answer:

(2, -6)

Step-by-step explanation:

1. The rule for reflecting a point across the y-axis is (x, y) -> (-x, y)

Therefore, the ordered pair that describes the location of C' is (2, -6).

Answer:

(2, -6)

Step-by-step explanation:

Answer:

A. Right triangle

B. Scalene triangle

C. Equilateral triangle

D. Scalene

Step-by-step explanation:

Step-by-step explanation:

Answer:

where are the dimensions????

Answer:

\(6,10\)

Step-by-step explanation:

Method 1:

\(\mathrm{Let\ two\ numbers\ be\ x\ and\ y\ such\ that:}\\\mathrm{x:y=3:5\ \ \ \ and\ \ \ \ x+y=16}\\\mathrm{or,\ \frac{x}{y}=\frac{3}{5}}\\\\\mathrm{or,\ 5x=3y..........(1)}\\\mathrm{Also\ we\ have}\\\mathrm{x+y=16}\\\mathrm{or,\ 5(x+y)=5(16)}\\\mathrm{or,\ 5x+5y=80}\\\mathrm{or,\ 3y+5y=80\ [From\ equation\ 1]}\\\mathrm{or,\ 8y=80}\\\mathrm{or,\ y=10}\\\mathrm{From\ equation\ 1,}\\\mathrm{5x=3y}\\\mathrm{or,\ 5x=3(10)=30}\\\mathrm{\therefore x=6}\)

\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)

Alternative method 1:

\(\mathrm{Let\ the\ two\ numbers\ be\ x\ and\ 16-x.}\\\mathrm{Then,\ we\ have}\\\mathrm{x:(16-x)=3:5}\\\\\mathrm{or,\ \frac{x}{16-x}=\frac{3}{5}}\\\\\mathrm{or,\ 5x=3(16-x)=48-3x}\\\mathrm{or,\ 5x+3x=48}\\\mathrm{or,\ 8x=48}\\\mathrm{\therefore x=6}\\\mathrm{So,\ the\ other\ number=16-x=16-6=10}\)

\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)

Alternative method 2:

\(\mathrm{Let\ the\ two\ numbers\ be\ 3x\ and\ 5x.}\\\mathrm{Then,}\\\mathrm{3x+5x=16}\\\mathrm{or,\ 8x=16}\\\mathrm{or,\ x=2}\\\mathrm{So,\ first\ number=3x=3(2)=6}\\\mathrm{Second\ number=5x=5(2)=10}\)

\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)

Answer:

35

Step-by-step explanation:

it takes 5 weeks to make 100 since 20 x 5 = 100

100 x 7 = 700

5 x 7 = 35

Answer:

It will take 35 weeks.

Answer:

30 pages in this book

Step-by-step explanation:

20% is equal 6 pages

so 80% is equal (80/20)*6+6=30

Answer:

Inequality Form:

y<35

Interval Notation:

(−∞,35)

Answer:

y is smaller than 34 or less

Step-by-step explanation:

put the 11 to the other side and make it a negative then you get 46-11=35 than it says 35>y

Answer:

A

Step-by-step explanation:

You know that you can simplify 6/9 because both the numerator (top number) and denominator (bottom number) can be divided by 3. Therefore, you divide them by 3 to get 2/3. 2/3 cannot be simplified anymore. 2/3 is equal to 2/3. Therefore, the answer is A.

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