The ages in years of 21 people in a swimming pool are displayed in the stem-and-leaf plot. Determine the median age of people in the pool.

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median =
years (Do not round)

Answer:

[tex]Domain: \;\boxed{-4 } < x \le 4\\\\Ramge: \boxed{-2} \le y < 5[/tex]

Step-by-step explanation:

Domain

Domain is the set of all valid x values for the function
Looking at the graph we see that the function x values go from  x- 4 to x = +4.

Note the unfilled circle at x = -4, y = 5. This means that this point is not included in any set of values that we intend tp find. It will represent a < or > inequality.

A filled circle means that value is included

So the domain of the function is -4 < x ≤ 4  (note that -4 is not included in the domain

Range
The range is the set of all y values for the entire domain. Basically it is defined using the min and max values that y can take

The minimum y value occurs at x = 4 and y  is -2 (this is included because of the filled circle)

The max value occurs at x = -4 and the value of y here is 5 (5 is not included)

Therefore the range is -2 ≤ y < 5

the answer to x=45/45, x=1  We employ the factorization method in this.

Factorization, also known as factoring, is the mathematical process of breaking or decomposing an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication yields the original number, matrix, etc. You will mostly learn this idea in your lower secondary classes from grades 6 to 8.

based on the provided statement

How would I approach solving it?

-5x-4=7(-7-7x)-x

-5x-4=-49-49x-x

49-4=-49x-x+5x

45=45x

so x=45/45

   x =1

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Taking into account the greatest common divisor, the greatest number of flowers in each group is 20.

The greatest common divisor is the largest number that exactly divides two or more numbers at the same time.

To calculate the greatest common multiple, follow these steps:

In summary, the common factors (those that are repeated) are multiplied with their smallest exponent.

In this case, there are 100 roses and 60 daises. To calculate the greatest number of flowers in each group, you have to calculate greatest common divisor.

Decomposing each number into prime factors:

The greatest common divisor between 60 and 100 is calculated as 2²×5, which results 20.

This means that the greatest number of flowers in each group is 20.

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In linear equation, A = - 27/7 and B = 140/7 are mg of medicine are contained.

What in mathematics is a linear equation?

Let one dose be x.

Other does will be 11 - x ............ y

4x + 11 ( 11 - x) = 148

4x + 121 - 11x = 148

-7x = 148 - 121  =    27

x = - 27/7

y = 140/7

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Answer:

3

Step-by-step explanation:

Syop doing homework and gdt a life

The equation that can be used to determine the cost of one drink is 2x = 6.09

The sum of the prices for the movie tickets, refreshments, and voucher represents the total sum that Stephen and Paul will be required to pay.

Therefore,

The total amount paid is equal to the cost of two tickets + cost of the two drinks - coupon

So,

( 11 × 2 ) + ( x × 2 ) - 5 = 29.18

22 + 2x - 5 = 29.18

Subtracting 22 from each side of the equation.

22 + 2x - 5 - 22 = 29.18 - $22

2x - 5 = 7.18

Adding 5 on each side of the equation.

2x - 5 + 5 = 7.18 + 5

2x = 12.18

Now, divide each side of the equation by 2.

x = 6.09

Hence, the cost of one drink is $6.09

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Answer:

This is the answer for the sequence

The value of x is x = 18.25

The angles are given as

m∠FDE = 3x-15° and m∠FDB = (5x+59)°

The angles are supplementary angles

FDE + FDB = 180

This gives

3x - 15 + 5x + 59 = 180

Evaluate the like terms

8x = 146

Divide by 8

x = 18.25

Hence, the value of x is x = 18.25

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Answer: 64 feet of fence

Step-by-step explanation:

To find the amount of fence needed, calculate the perimeter of the garden

P=perimeter of rectangle. l=length. w=width

P=2l+2w

P=2(19)+2(13)

P=38+26

P=64 feet

Work Shown:

-3x-p > 0

-p > 3x

3x < -p

x < -p/3

The required expression of the rate at which the balance is changing each time is 1450 - 60x, where x is the number of visits to the ATM.

Here,
At the beginning of the month, you have $1500 in your bank account.
Each time you visit the ATM you take $60 out of your account.
Rate of money out = 60x, where x is the number of times atm visit.
Last month you lent your friend $50.
Money left = 1500 - 50 - 60x = 1450  - 60x

Thus, the required expression of the rate at which the balance is changing each time is 1450 - 60x, where x is the number of visits to the ATM.

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Answer:

B. 0.5

Step-by-step explanation:

0.04 ÷ 8 = 4/800

4/800 = 1/200 = 0.5

Step-by-step explanation:

much should the charity expect?

A. $33.33

B. $42.86

C. $60.00

D. $136.19

E.

The charity expects a donation of D. 136.19 dollars from Eduardo, Becky, and Martin.

Fractions describe how many parts of something is there to the total part.

To obtain how much each individual donated we have to multiply the fraction of donation to the amount of money they saved and take the sum.

Eduardo donated 2/7 of his savings which is (2/7)×150 dollars.

= 42.85 dollars.

Martin donated  2/9 of his savings which is (2/9)×150 dollars.

= 33.33 dollars.

Becky donated 2/5 of his savings which is (2/5)×150 dollars.

= 60 dollars.

∴ The total money they donated is ( 42.85 + 33.33 + 60 ) dollars.

= 136.18 dollars.

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Answer: [tex]\frac{9}{16}[/tex]

Step-by-step explanation:

We need to find the ratio of girls to the total number of students. That means our ratio is going to be 72 (the number of girls) over 56+72 (boys + girls, the total number of students).

When you add 56+72, you'll get 128 in the denominator. Continuing to simplify the fraction, you'll end up with:

[tex]\frac{72}{128}[/tex] = [tex]\frac{9}{16}[/tex]

Depending on what format your teacher wants, this can be written as [tex]\frac{9}{16}[/tex] or 9:16.

Answer:

y = -2x -3

Step-by-step explanation:

slope intercept form: y=mx+b

find slope or m:

m= y2-y1 / x2-x1

after plugging in values.. u get..

m= -2

further plug in one point in the slope intercept form.

you get ...

b= -3

Final plug into equation:

y = -2x -3

The economic investment will be $415.

It should be noted that an investment is simply used to generate further wealth.

Therefore, the investment will be the addition of the values given. This will be:

= $125 + $200 + $20 + $70

= $415

Therefore, the economic investment will be $415.

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Answer: y=-(x-6)(x-8)

Average rate of change: 2

Step-by-step explanation:

Graph facing downward, so equation is negative

Since the equation is quadratic, the degree is 2.

When you look at the graph, you see the values of x when y=0

x=6 ==> y=0

x=8 ==> y=0

Equation: y=-(x-6)(x-8) ==> add the negative sign to show the equation is going down.

x=5 ==> y=-3 ==> (5, -3)

x=7 ==> y=1 ==> (7, 1)

Slope formula: m=(y2-y1)/(x2-x1)

m=(1-(-3))/(7-5)

m=(1+3)/(2)

m=4/2

m=2 ==> average rate of change

Answer:

Yes they do :)

(o´▽`o)ﾉ x

Answer:

720 miles

Step-by-step explanation:

18×40=70 is all you need to do

Answer:

Step-by-step explanation:

We know that, If two line are perpendicular to each other wit slopes [tex]m_{1}[/tex] and [tex]m_{2}[/tex]  them [tex]m_{1} *m_{2}=-1[/tex]

Hence,

    [tex]7*(-1/7)=-1[/tex]

This shows that these two line are perpendicular to each other.

Answer: d = 14/5

Step-by-step explanation:

14 + d = 6d

14 = 5d

14/5 = d

Check Work:

14 + (14/5) = 6(14/5)

16.8 = 16.8

Answer:

There are three different whole numbers are factors of 2020.

What is Prime factorization ?

Prime factorization is defined as a way of finding the prime factors of a number, such that the original number is evenly divisible by these factors. As we know, a composite number has more than two factors, therefore, this method is applicable only for composite numbers and not for prime numbers.

Prime factors of 2020 = 2,2,5,101

different whole numbers are = 2,5,101

As these three numbers are prime numbers, these are the different whole numbers for 2020.

Therefore, there are three different whole numbers are factors of 2020.

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Applying the vertical angles theorem, we have:

x = 29

z = 13

Based on the vertical angles theorem, the vertical angles AIZ and GIM are congruent to each other.

Therefore:

7. m<AIZ = m<GIM

Substitute

3x - 56 = x + 2

3x - x = 56 + 2

2x = 58

x = 29

8. 4z + 7 + x + 2 = 90 (complementary angles)

Plug in the value of x

4z + 7 + 29 + 2 = 90

4z + 38 = 90

4z = 90 - 38

4z = 52

z = 52/4

z = 13

Therefore, applying the vertical angles theorem, we have:

x = 29

z = 13

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For f(x)= 3x required values of the function are f(-3)=-9, f(0)=0, f(3)=9

What is the value of a function?

A function gives exactly one output to each input .  f(2) means that we should find the value of our function when x equals 2. f(x) is the value of the function

Given function is f(x)= 3x

Then f(-3) = 3(-3) =-9

f(0) = 3(0) =0

f(3) = 3(3) =9

Therefore, values of the function at x = -3,0,3 are -9,0,9 respectively

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The solution of an equation refers to the values of the variables involved in that given equation. The value of output y is 22.

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

The Solution to an equation is finding values of the variable included in the considered equation for which the equation considered evaluates to be true.

For a solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point

The expression is y = 5x-3

We need to determine the output y, when the value of input is x is 5 so

That is, substituting  in , we get the following;

y = 5x-3

y = 5(5)-3

Multiplying the value within the bracket, we have;

y = 25-3

Then Subtracting the terms, we get,

y = 22

Therefore, the value of output y is 22.

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The complete question is

Find the output, y, when the input, x, is 5. The equation is y = 5x-3

The image of triangle DEF, each of the coordinates of D, E and F will be multiplied by -1/2 to generate the dilated triangle.

Using dilation rules, the dilated triangle is given at the end of the answer. The coordinates of the vertices are as follows:

A'(-6,6), B'(-3,0), C'(3,6).

The rule of the dilation is to dilate a figure by a factor of a, each coordinate of each vertex of the image is multiplied by a, that is, the following rule is applied:

(x,y) -> (ax, ay).

The coordinates of the vertices of ABC are given as follows:

A(-2,2), B(-1,0), C(1,2).

After a dilation with a scale factor of 3, the coordinates of the vertices of A'B'C' will be given as follows:

A'(-6,6), B'(-3,0), C'(3,6).

These coordinates are derived multiplying the coordinates of A, B and C by 3.

The image of the triangle is given at the graph at the end of the answer.

Hence, for the image of triangle DEF, each of the coordinates of D, E and F will be multiplied by -1/2 to generate the dilated triangle.

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Step-by-step explanation:

5x+3x-17°-11°=180°

8x-28°=180°

8x=180°-28°

8x=152°

[tex] \frac{8x}{8} = \frac{152}{8} \\ x = 19[/tex]

Answer:

x=26

Step-by-step explanation:

since we are adding, you start by combining like terms. x's with x's and #'s with #'s. that leaves you with 8x-28=180. Your next step is to get x all by itself so you move the -28 to the other side by adding 28 to both parts. that leaves you with 8x=208. now you still have to get x by itself and right now its being multiplied with the 8 so to get rid of it you divide by 8 on both sides and that leaves you with x=26.

Answer: 0.6

:) hope this helps you

Answer:

0.6

Step-by-step explanation:

[tex]{ \tt{ \frac{3}{5} }} \\ [/tex]

Multiply the numerator and denominator by 2;

[tex] = { \tt{ \frac{3 \times 2}{5 \times 2} }} \\ \\ = { \tt{ \frac{6}{10} }} \\ \\ = 0.6[/tex]

Answer:

13.2

Hope this helps :)

Step-by-step explanation:

8.118 ÷ 0.615 = 13.2

You can also solve it by using long division.

Check:

13.2 × 0.615 = 8.118 ✓