You made two deposits to your bank account this month. One deposit was $24.61 and the second deposit was $16.49. Your balance at the end of the month is $73.31 and you made no withdraws. Write and evaluate an expressions for your balance at the beginning of the month subject:(subtracting rational numbers)

Answer:

hello the data is missing but it is included in the explanation below

missing data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6

Answer :

A) range = 9 , variance = 8.3015,  standard deviation = 2.8812

B)  The results cannot be a representative of the variation of attractiveness among the population of adult males

Step-by-step explanation:

A ) calculate the Range, variance and standard deviation

The given data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6

i) Range = difference between largest and smallest values

              = 10 -1 = 9

ii) variance = summation of ; (xi − x)^2/n-1

                   = 207.5385/26−1   ≈ 8.3015

iii) standard deviation = [tex]\sqrt{variance}[/tex]

                                    = [tex]\sqrt{8.3015}[/tex] = 2.8812

B) The results cannot be a representative of the variation of attractiveness among the population of adult males

Answer:

Option (3)

Step-by-step explanation:

Inequality n < -2 will be represented on a number line as,

A ray starting form -2 with a hollow circle directing towards -5.

Similarly, other inequality n ≥ 4 will be represented by a ray heading towards positive integers with a staring point 4 marked with a dark circle.

By combining these inequalities on a number line we get Option (3) as a correct option.

Answer:

64.44cm^2

Step-by-step explanation:

11×7 -pi ×2^2=77-31.4×4=77-12.56= 64.44 cm^2

Answer:

k≥12

Step-by-step explanation:

If k must be equal to or greater than 12, it can be expressed as k≥12. This is because the sign ≥ shows that k can both be 12 and could be higher than 12.

I hoped that helped!

:)

Answer:

c

Step-by-step explanation:

it says above

Answer:

3rd box, last box, 2nd box, 5th box in that order

Step-by-step explanation:

PEMDAS

Answer:

3, 7, 2, 5

Step-by-step explanation:

You will get the answer by solving it with PEMDAS :)

Answer:

28 cm

Step-by-step explanation:

P=(3+7)+(7+4)+(4+3)=2*(3+7+4)=2*14=28

Answer:

d

Step-by-step explanation:

The correct answer is d because Nora is proving that PS : PR = PT : PQ and we know that PT = 48 and PQ = 48 + 36 so substituting those values into the right side of the equation gives us 48 : (48 + 36).

Answer:

D

Step-by-step explanation:

Answer:

0.075

Step-by-step explanation:

To represent 7 1/2 as a decimal, it would be 0.075 since there are 7 hundredths and half a hundredth.

Answer:

x = 7  x = -6

Step-by-step explanation:

x^2−x−42=0

Factor

What two numbers multiply to -42 and add to -1

-7*6 = -42

-7+6 = -1

(x-7) (x+6) =0

Using the zero product property

x-7 =0   x+6 =0

x = 7  x = -6

Answer:I would say it’s 52in

Step-by-step explanation:

Answer:

C: 38 units

hope this helps!!

Answer:

x = 74°

Step-by-step explanation:

The measure of the inscribed angle x is half the measure of its intercepted arc, that is

x = [tex]\frac{1}{2}[/tex] × 148° = 74°

Answer:

When two vectors are parallel, it's because the angles of inclination are equivalent. They are defined by

[tex]\theta = tan^{-1}(\frac{y}{x} )[/tex]

So, we just need to find the angle for each vector and see if they are equivalent.

We have vectors [tex](3,1)[/tex] and [tex](-13,-1)[/tex]. You already can deduce that these vectors are not parallel, because, their divisions are not equivalent.

[tex]\frac{1}{3} \neq \frac{-1}{-13}[/tex]

Which will give different angles in the end.

Let's try the other pair of vectors [tex](2,3)[/tex] and [tex](-3.-2)[/tex]. Their division would be

[tex]\frac{3}{2} \neq \frac{-2}{-3}\\ 1.5 \neq 0.67[/tex]

As you can observe, their divisions are not equivalent, which means their tangents are not equivalent.

Therefore, those vectors are not parallel, because they don't have equivalent angles of inclination, not matter if they are pointing to the same or different direction.

Answer:

Child's dosage=60 milligram

Step-by-step explanation:

The correct formula is below

C= a/(a+12) ∙ A

Where,

C = child’s dosage in milligrams

a = age of the child

A = adult dosage in milligrams

a=6 year old

A=180 milligrams

C= a/(a+12) ∙ A

=6/(6+12)*180

=6/18*180

=1/3*180

=60

Child's dosage in milligram=60 milligram

Answer:

  8/15 acres per hour

Step-by-step explanation:

To find acres per hour, divide acres by hours:

  (2/5 ac)/(3/4 h) = (2/5)(4/3) ac/h = 8/15 ac/h

Derek can cover 8/15 acres per hour.

Answer: A para B

Step-by-step explanation: Me no a little espanol, y i think A par B, gracias hasta luego, mucho gusto!!

Answer:

x = 4

Step-by-step explanation:

2x/2 = 8/2

x =4

Answer:

150  cans

Step-by-step explanation:

We can use the points (-4, 3) and (3, 1) to solve.

Slope formula: y2-y1/x2-x1

1-3/3-(-4)

-2/7

Therefore, the answer is C

Best of Luck!

Answer:

-2/7

Step-by-step explanation:

To find the slope we use the formula

( -4,3) and ( 3,1) are two points on the line

m = ( y2-y1)/(x2-x1)

    = ( 1-3)/( 3 - -4)

    ( 1-3) /(3+4)

     -2/7

Answer:

Step-by-step explanation:

1). f(x) = x² - 9

   g(x) = x - 3

   h(x) = f(x) ÷ g(x)

          = [tex]\frac{x^2-9}{x-3}[/tex]

          = [tex]\frac{(x+3)(x-3)}{(x-3)}[/tex]

          = (x + 3)

2). f(x) = x² - 4x + 3

         = x² - 3x - x + 3

          = x(x - 3) - 1(x - 3)

          = (x - 1)( x- 3)

    g(x) = x - 3

   h(x) = f(x) ÷ g(x)

          = [tex]\frac{(x-1)(x-3)}{(x-3)}[/tex]

          = (x - 1)

3). f(x) = x² + 4x - 5

          = x² + 5x - x - 5

          = x(x + 5) - 1(x + 5)

          = (x - 1)(x + 5)

    g(x) = x - 1

    h(x) = f(x) ÷ g(x)

           = [tex]\frac{(x-1)(x+5)}{(x-1)}[/tex]

           = (x + 5)

4). f(x) = x² - 16

          = (x - 4)(x + 4) [Since a² - b² = (a - b)(a + b)]

   g(x) = (x - 4)

   h(x) = f(x) ÷ g(x)

          = [tex]\frac{(x-4)(x+4)}{(x-4)}[/tex]

          = (x + 4)

Answer:

Step-by-step explanation:

1). f(x) = x² - 9

  g(x) = x - 3

  h(x) = f(x) ÷ g(x)

         =

         =

         = (x + 3)

2). f(x) = x² - 4x + 3

        = x² - 3x - x + 3

         = x(x - 3) - 1(x - 3)

         = (x - 1)( x- 3)

   g(x) = x - 3

  h(x) = f(x) ÷ g(x)

         =

         = (x - 1)

3). f(x) = x² + 4x - 5

         = x² + 5x - x - 5

         = x(x + 5) - 1(x + 5)

         = (x - 1)(x + 5)

   g(x) = x - 1

   h(x) = f(x) ÷ g(x)

          =

          = (x + 5)

4). f(x) = x² - 16

         = (x - 4)(x + 4) [Since a² - b² = (a - b)(a + b)]

  g(x) = (x - 4)

  h(x) = f(x) ÷ g(x)

         =

         = (x + 4)

Answer:

Hello!

`~~~~~~~~~~~~~~~~~~~~~

Your answer would be (C)  10x2 + 18x+ 30

~~~~~~~~~~~~~~~~~~~~~~

Hope this helped you!

P . S I would've put the explaintion but it's to long.

Answer:

C. 90°

Step-by-step explanation:

In circle with center P, Segment QR is tangent to circle P at point Q and PQ is radius of the circle.

[tex] \therefore PQ \perp QR... (\because radius \perp tangent) \\

\therefore m\angle PQR = 90\degree [/tex]

Answer:

9

Step-by-step explanation:

Answer:

9m

Step-by-step explanation:

Let x be the length of the rectangle and P the perimeter

P= 4*2+ 2x

26= 8+2x

18= 2x

x= 9 m

Answer:

$3100 is invested at 9%

$4900 is invested at 11%

Step-by-step explanation:

Let's take "x" be the amount invested at 9%.

(x + 1800) is invested in another account at 11%.

The interest amount earned by the two accounts is $818.

Here we can use the simple interest formula and find the amount invested in each account.

Simple interest (I) = , where P- is the principal , N is the number of years and R is the interest rate.

Simple interest =

0.09x + 0.11(x+1800) = 818

Now we have to simplify and find the value of x .

Use the distributive property and simplify the second term.

0.09x + 0.11x + 198 = 818

0.2x + 198 = 818  

0.2x =818 - 198

0.2x = 620

x = 620/0.2

x = 3100.

So $3100 is invested at 9%

x + 1800 = 3100 + 1800

= $4900

$4900 is invested at 11%

Hope this helped.

Answer:

Step-by-step explanation: so you calculate how many people ate chicken, beef, fish or are vegetarian then you will add it all together

chicken=128

beef= 80

fish=32

vegetarian=112

128+80+32+112= 352 people ate at the restaurant

Answer:

Altogether, 88 people went to the restaurant.

Step-by-step explanation:

Answer:

The volume of the composite figure is 162.7 in^3

Step-by-step explanation:

Here, we have a cylinder placed over a cube

The volume of the cube is L^3

With L being the length of its side = 5

The volume of the cube is 5^3 = 125 in^3

The volume of the cylinder is pi * r^2 * h

with r = 2 in and h = 3 in

The volume of the cylinder = 22/7 * 2^2 * 3 = 37.699 = 37.7 in*3

Total volume is thus;

37.7 + 125 = 162.7 in^3

Answer:

x = 0.5

graph is shown in image

Step-by-step explanation:

Answer:

y = x-4

Step-by-step explanation:

The first thing we need here is to find the slope m of the line passing through the two points.

Mathematically;

m = y2-y1/(x2-x1)

Where (x1,y1) = (0,-4) and (x2,y2) = (5,1)

Thus; m = (1-(-4))/(5-0) = 5/5 =0

The standard form of the equation is;

y = mx + c

where m is the slope and c is the intercept. We already calculated m to be 1, so the equation of the line would be;

y = x + c

To get c, what we need to do is to use any of the points and substitute the values of x and y to get c

Let’s use (5,1)

1 = 5 + c

c = 1-5

c = -4

So the line would be

y = x -4