The students in a class were asked wether they preferred football , tennis or hockey. The ratio of students who preferred football to tennis to hockeys is 14:8:3. What percentage of students preferred tennis

The number of cubical required are [tex]3456/n[/tex] here n is the area where it is kept.

To find the the number of blocks required, first you are suppose to know the volume of each brick and the area of the place where it is suppose to be kept. The area is not mentioned in this question because it is incomplete.
So, to proceed with it the volume of this block is L×B×H.

Given; length = 18 inches

breadth= 16 inches

and height = 1 foot = 12 inches

Thus Volume of cubical is 18× 16× 12= 3456 inches.

The number of bricks required is [tex]3456/n[/tex] here n represents the area of the place where it is supposed to be kept.

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Answer:

x-intercept equals 5

y-intercept equals -10

Step-by-step explanation:

y-intercept: solve when x=0. y=-2|x-5|= -10

The total number of orders that Angela has to clean are 60.

Given:

Number of pairs of shoes cleaned by Angela = 12

Let the total number of shoes to be cleaned be x.

So,12 pairs of shoes are 20% of her total orders.

20% of x = 12

(20/100)x = 12

0.2x = 12

x = 12/ 0.2

x = 60

Therefore, Angela has to clean a total of 60 pairs of shoes.

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Answer:

Okay so the probability is 3 outa 25 half the amount in the bag just add 3 and 3 together (cause 25 is half of 50) you get 6 subtract that from 50 you get 44.

In linear equation, $ 442.54 tall is the tower.

What are a definition and an example of a linear equation?

Suppose A is the window, B is the top of the tower, C is the bottom of the tower, and D is the point on the tower at the same horizontal level as the window.

Find BD, DC then add these together to give this°.

For BD :  AD is 350 ft, the angle CAD is 42.  

So BD/350 = tan 42°.  

      BD =  0.9004 × 350

      BD  = 315.14

   AD/350  =  tan20°

    AD =   0.364 × 350

    AD =  127.4

AD + BD =   315.14 +   127.4  =  $ 442.54

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The required value of the function is 2

In the case of a function from one set to the other, each element of X receives exactly one element of Y.

The given function is of the form :

g(x) = - x² - 7

Now let us find the required values.

g (-3) = - (-3)² - 7 = 2

g (-2) = - (-2)² - 7 = -3

g (1 ) = - ( -1 )² - 7 = -6

Hence the required value of the function is 2 at x = -3 .

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keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the lines above

[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{6}}} \implies \cfrac{-3 +2}{2}\implies \boxed{-\cfrac{1}{2}} \\\\[-0.35em] ~\dotfill[/tex]

[tex](\stackrel{x_1}{15}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{13}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{9}}}{\underset{run} {\underset{x_2}{13}-\underset{x_1}{15}}} \implies \cfrac{-1}{-2}\implies \boxed{\cfrac{1}{2}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \textit{different slopes, \underline{not parallel}}~\hfill[/tex]

Finding the numeric value of the regression line, it is found that the electric bill in a month with temperature of 48 degrees is of $157.59.

To find the numeric value of a function, we replace each instance of the variable in the function by the desired value.

In the context of this problem, the function is given as follows:

y = 227.19 - 1.45x.

Which y giving the electric bill for a month of temperature x degrees.

The temperature is of 48 degrees, hence to find the electric bill, the lone instance of x in the function is replaced by 48, hence:

y = 227.19 - 1.45(48) = $157.59.

Hence the electric bill in a month with temperature of 48 degrees is of $157.59.

The regression line is missing in this problem, as is defined as follows:

y = 227.19 - 1.45x.

In which:

The problem asks for the electric bill in a month with temperature of 48 degrees.

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Answer:

7.

[tex]y = \frac{a - b \: x {}^{10} \times ln(x) }{x {}^{10} } [/tex]

8.

[tex]y = \frac{12x {}^{3} \times ln(x) - 2x {}^{4} + 1 + 4\pi {}^{2}x {}^{3} }{4x {}^{3} } [/tex]

The line e is parallel to f by converse alternate interior angles theorem.

What is converse alternate interior angle theorem?

Converse alternate interior angle theorem states that states if two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.

What is parallel lines?

Two lines are said to be parallel when they do not meet at any point in a plane. Lines which do not have a common intersection point and never cross path with each other are parallel to each other. The symbol for showing parallel lines is ‘||’.

Given,

angle 1 is congruent to angle 2 and g is parallel to h.

similarly, angle 2 is congruent to angle 3,

by transitive property angle 1 is congruent to angle 3.

By converse alternate interior angle theorem, e is parallel to f.

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Answer: 12

Step-by-step explanation:

The 4 in “-1/4” can be multiplied by three.

Three 3 in “-2/3” can be multiplied by four.

These give you the common denominator of 12!

Don’t forget to multiply the numerator by the amount you multiplied the denominator by!

Answer: 5.78 × 10 to the negative ninth power

Step-by-step explanation:

Answer:

13/4 or 3.25

Step-by-step explanation:

Since they are vertical angles, they are equal to each other. Thus, set the two equations together:

8x + 32 = 12x + 19

Isolate x

32 = 12x + 19 - 8x = 4x + 19

32 - 19 = 4x

4x = 13

4x/4 = 13/4 = 3.25

The value obtained for f(3) after substituting x = 3 in the function f(x) is 0.0067.

A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is known as the function's domain, and the set Y is known as the function's codomain.

The list of function formulas is divided into two categories: formulas for performing numerous arithmetic operations across functions and formulas for performing combined operations involving two or more functions.

The given function is f(x) = (1/7)/(7x)

We need to find the value of f(3) so we will substitute x = 3 in the given function as follows:

f(3) = (1/7)/(7×3)

∴ f(3) = (1/7)/21

∴ f(3) = 0.142/21

∴ f(3) = 0.0067

Therefore, after substituting x = 3 in the function f(x), the value obtained for f(3) is 0.0067.

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Answer:

If the proton proton chain produces gamma ray photons, why are the majority of photons we observe from the sun at visible wavelengths?

Step-by-step explanation:

Answer:If the proton proton chain produces gamma ray photons, why are the majority of photons we observe from the sun at visible wavelengths?

Step-by-step explanation:

Step-by-step explanation:

The conversion of 5 kiiometers to miles is 3.11 miles

The given parameters are

Distance covered by the students = 5 kilometers

The ratio of the distance is given as

1 mile : 1.61 kilometers

Multiply both sides of the ratio by 5

So, we have the following ratio expression

5 * 1 mile : 1.61 kilometers * 5

Evaluate the product in the above expression

So, we have the following ratio expression

5 miles : 8.05 kilometers

Divide both sides of the ratio by 1.61

So, we have the following ratio expression

5/1.61 miles : 8.05/1.61 kilometers

Evaluate the quotient in the above expression

So, we have the following ratio expression

3.11 miles : 5 kilometers

Rewrite as

5 kilometers : 3.11 miles

This means that

5 kilometers = 3.11 miles

Substitute 5 kilometers = 3.11 miles  in Distance covered by the students = 5 kilometers

So, we have

Distance covered by the students = 3.11 miles

Hence, the distance covered by the students is 3.11 miles

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The value of x is determined by solving the equation  14 + 5/7x - 20 = 4/7x - 4, which is: x = 14.

When given an equation, to solve the equation means to find the value of the variable in the equation.

Given the equation:

14 + 5/7x - 20 = 4/7x - 4

Combine like terms

5/7x - 6 = 4/7x - 4

Add 6 to both sides

5/7x - 6 + 6 = 4/7x - 4 + 6

5/7x = 4/7x + 2

Subtract both sides of the equation by 4/7x:

5/7x - 4/7x = 4/7x + 2 - 4/7x [subtraction property of equality]

x/7 = 2

Multiply both sides by 7

x/7(7) = 2(7) [multiplication property of equality]

x = 14

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Answer:

Yes.

Step-by-step explanation:

18/ 3 = 6

3 / 3 = 1

so,  6 : 1.

Answer:

d, e, a, b, h, c, f, g

Step-by-step explanation:

if you convert them all to decimals you get

a = 0.57

b = 0.64

c = 1.6

d = 0

e = 0.4

f = 2.5

g = 4.3

h = 1.2

in order it goes 0, 0.4, 0.57, 0.64, 1.2, 1.6, 2.5, 4.3

Answer:

100-22=78

78+6=84

1500 x 84/100= 1260Dhs

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[tex](\stackrel{x_1}{-9}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{-5}-\underset{x_1}{(-9)}}} \implies \cfrac{-1 +4}{-5 +9} \implies \cfrac{ 3 }{ 4 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ \cfrac{ 3 }{ 4 }}(x-\stackrel{x_1}{(-9)}) \implies {\large \begin{array}{llll} y +4= \cfrac{ 3 }{ 4 } (x +9) \end{array}}[/tex]

       A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

         A domain's discreteness or continuousness can be determined by examining the function's graph. The domain is continuous if the graph is a line. The domain is discrete if the graph consists of a collection of points.

Private Domain

      The values that will be effective for the function are distinct from one another. The maximum number of children you can have, for instance, has a defined answer. You can have 0 children, 1, 2, 3, etc., but not 2,34.

      Discrete graphs are those in which no lines connect the points. Start by locating all the x-coordinates in order to determine the domain and range of a discrete graph. The graph's entire set of x-coordinates makes up the domain. The graph's entire range of y-coordinates is considered to be the range.

        The domain is the collection of all possible inputs for a function. The codomain is the collection of all permitted outputs.

     Graphs, logical assertions, and combinations are a few examples of discrete structures. Infinite or finite discrete structures are both possible. Contrary to continuous mathematics, which works with structures whose values can span the real numbers or have other non-separable qualities, discrete mathematics deals with discrete objects.

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WE CAN USE THE SIMILARITY THEOREM WHEREIN

[tex] \frac{14}{28} = \frac{10}{x} \\ [/tex]

THE PROPORTIONS OF SIDES OF THE SIMILAR SHAPES A RE EQUAL.

NOW TO SIMPLIFY WE CAN DO CROSS MULTIPLICATION.

[tex]14(x) = 28(10) \\ 14x = 280 \\ \frac{14x}{14} = \frac{280}{14} \\ x = 20 [/tex]

After factorization, the absolute value of the variable 'x' is 9.

What is factorization method?

The factorization method is used for the quadratic based equation whose highest degree is either two or more than two. Depending upon the degree of the variable, the number of factors are calculated. And by substituting the calculated value to check whether the answer is correct or not.

According to the question, the given linear equation is: |2x - 4| = 15

Now, to calculate the value of the variable 'x' by using factorization method. And to remove the bars which represent absolute value that means positive values

Required expression: |2x - 4| = 15

⇒ 2x = 15 + 4 = 19

⇒ x = 19/2 = 9.5

After factorization, the absolute value of the variable 'x' is 9.

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Answer:

6.6 is the correct number

Step-by-step explanation:

The base is 2.2 inches. The height is 3 inches. So the area is 2.2 × 3 = 6.6 square inches.

The fastest speed of the bird of species A is 136 mi/hr. and the fastest speed of the bird of species B is 34 mi/hr.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

A bird of species A, when diving, can travel four times as fast as a bird of species B at top speed which is given in the question.

Let b = the speed of bird species B.

So the speed of bird species A is 4b.

If the total speed for these birds is 170, then there is an equation :

⇒ 4b + b = 170.

⇒ 5b = 170

⇒ b = 170/5 = 34 mi/hr.

So the speed of bird species A will be 4×34 ⇒ 136 mi/hr.

Therefore, the fastest speed of the bird of species A is 136 mi/hr. and the fastest speed of the bird of species B is 34 mi/hr.

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In this problem bout segment has the same distance so we can write an equation like:

So the answer is 14.8

Answer:

the formula of a line is y=mx+c

mx is the gradient/slope and c is the y intercept

so the slope here is -6

the y intercept is -8

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The sets of numbers which each of the numbers given belong to as required in the task content is as follows;

As evident in the task content, the sets to which the three numbers belong is to be determined.

Hence, taking the numbers one after the other; we have;

15 => The number 15 belongs to the set of real numbers, rational numbers and most particularly, integers.

-5.075 => The number -5.075 belongs to the set of real numbers, rational numbers, and most particularly, decimals.

π => The number represented by π belongs to the set of real numbers, irrational numbers and it's numerical value is a non-terminal and non-repeating decimal.

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