In​ 2009, a diabetic express company charged ​$38.85 for a vial of type A insulin and ​$30.34 for a vial of type B insulin. If a total of ​$1695.71 was collected for 50 vials of​ insulin, how many vials of each type were​ sold?
The number of vials of type A insulin sold were ___ and the number of vials of type B insulin sold were ____

Answer:

(f-v)/a = t

Step-by-step explanation:

f = v + at

Subtract v from each side

f-v = v-v + at

f-v = at

Divide each side by a

(f-v)/a = at/a

(f-v)/a = t

Answer:

f - v =  a

 t

Step-by-step explanation:

Equation:

f =  v + at

subtract -v on both sides

f - v = at

divide t on both sides of the equation

f - v = a

  t

Answer:

y = 1/2x +5

Step-by-step explanation:

change f(x) to y

y = 2x - 10

then switch x and y

x = 2y - 10

then solve for y

add 10 to both sides and divide both sides by 2

Answer:

Step-by-step explanation:

One way to find the inverse is:

1.  replace the symbol f(x) with y (for simplicy--stay tuned).  Now you have

  y = 2x -10

2.  switch  x  and  y.  You get  x = 2y - 10

3.  Solve for y.

x + 10 = 2y

y = (x + 10)/2

4.  Replace  y  with the symbol for the inverse function,

Another approach is to think about inverse operations in reverse order.

f(x): start with x

multiply by 2

subtract 10

Inverse: start with x

add 10 (addition is the inverse of subtraction)

divide by 2 (division is the inverse operation of multiplication)

Your slope is 6/4. I found this by locating two points where the line intercepts evenly at two points. One was on the y-axis(0,-3) and the other was at (5,3). I then calculated the slope- rise over run or y over x. Because this graphs in a straight line, it is a linear equation. Your equation formula is y = mx + b. M is your slope, and b is your y-intercept. y = 6/4x -3

The answer is C: (-1, -8)

Answer:

if you assume one box as 1 m^2

then area of the shape is 54 m^2

but i am not sure if this is correct answer

Answer:

The median number of days absent is zero (0)

The mean number of days absent is 1.0 day

(b) The proportion of the population that has absenteeism greater than 4 days is 6.34 %

Step-by-step explanation:

total number of students, n = 284

The total number of students is even, the median number of days absent will in (n/2).

n/2 = 284/2 = 142

The cumulative frequency that falls in 148 students = 0 day

The median number of days absent is zero (0)

For mean:

Let the days absent = x  

let the number of students = f

[tex]mean (\bar x) = \frac{\sum fx}{\sum f}\\\\\bar x = \frac{(158\times 0)+ (64\times 1)+(18\times 2)+(22\times 3)+(4\times 4)+(5\times 7)+(6\times 8)+(9\times 2)+(13\times 1)}{284} \\\\\bar x = \frac{296}{284} \\\\\bar x = 1.0 \ day[/tex]

(b) the number of students with absenteeism greater than 4 dyas;

= 7 + 8 + 2 + 1

= 18

The proportion of these students;

[tex]= \frac{18}{284} \\\\= 0.0634 \\\\= 6.34 \ \%[/tex]

Using statistical concepts, it is found that:

Question a:

Then, the mean is:

[tex]M = \frac{0(158) + 1(64) + 2(18) + 3(22) + 4(4) + 5(7) + 6(8) + 9(2) + 13(1)}{284} = 1[/tex]

158 > 142, hence, the median is 0.

Question b:

[tex]p = \frac{18}{284} = 0.0634[/tex]

0.0634 = 6.34% of the population has an absenteeism greater than 4 days.

To learn more about mean and median, you can take a look at https://brainly.com/question/24732674

Answer:

If we have a point (x, y), a reflection across the x-axis converts the point to (x, -y)

While a reflection across the y-axis converts the point to (-x, y)

Then if we apply both of these transformations to our point, the reflection of (x, y) across the x-axis and then across the y-axis is (-x, -y)

Then the reflection of (-4, -6) across these two axes, is:

(- (-4), - (-6)) = (4, 6)

The correct option is B.

Answer:

See below for answers and explanations (as well as a graph attached)

Step-by-step explanation:

The function [tex]f(x)=\frac{x-5}{x^2-1}[/tex] can be written as [tex]\frac{x-5}{(x+1)(x-1)}[/tex], showing that there are 2 vertical asymptotes, which are at [tex]x=-1[/tex] and [tex]x=1[/tex] as they both make the denominator equal to 0.

Additionally, there would be a horizontal asymptote at [tex]y=0[/tex] since the degree of the numerator is less than the degree of the denominator.

See the attached graph.

Answer:

7

Step-by-step explanation:

The probability of choosing a blue marble is 7/8, or 49/56, which means that out of 56 marbles, 49 are blue. 56-49=7, so there are 7 red marbles. Hope this helps! :)

I didn’t undertand the question... mayb ur attachment isnt added! Plz check!

Answer:

135º

Step-by-step explanation:

Total parts

5 + 8 + 12 + 15 = 40

Value of each part; 360º in a quadrilateral

360 / 40 = 9

Largest angle

15 * 9 = 135º

Answer: He will pay this amount, with interest, over a 4-year period payment that he must make After paying 20% as a down payment, they finance the Determine the monthly payments needed to amortize the loan and months, that payments can be made under each of the following options before the money runs out.

Step-by-step explanation:

Answer:

[tex]3[/tex]

Step-by-step explanation:

This problem asks one to find the length of the given line. Another way to think about this problem is to believe that the problem asks one to find the distance from one point to another. The endpoints on this line are the following,

[tex](4,2), (5, 5)[/tex]

The formula to find the distance between two points on a 2-dimensional coordinate plane is as follows,

[tex]D=\sqrt{(x_1-x_2)^2*(y_1-y_2)^2}[/tex]

Substitute the endpoints of the line into the formula and solve for the distance between the points,

[tex]D=\sqrt{(4-5)^2*(2-5)^2}[/tex]

Simplify, solve for the distance between the two points,

[tex]D=\sqrt{(4-5)^2*(2-5)^2}[/tex]

[tex]D=\sqrt{(-1)^2*(-3)^2}\\\\D=\sqrt{1*9}\\\\D=\sqrt{9}\\\\D=3[/tex]

Answer:

x=150

Step-by-step explanation:

x+30=180[co-interior angle]

x=180-30

x=150

Answer:

This is a protractor question if you dont have one then try these on a calculator.

when angle is between two lines we need see where the hypotenuse is in the diagram and where is the adjacent.

And whether the triangle is right angle or not.

Try these

shift sin -1  x sin 9/6 (for opp/hyp)

shift sin -1  (9/6)   (for opp/hyp)

shift sin -1 x sin 6/9 (for opp/hyp)

shift sin -1 (6/9) (for opp/hyp)

shift cos -1 x cos 9/6 (for adj/hyp)

shift cos -1 (9/6) (for adj/hyp)

shift cos -1 x cos (6/9) (for adj/hyp)

shift cos -1 (6/9) (for adj/hyp)

shift tan -1 x tan (9/6) ( for opp/adj)

and so on....

Step-by-step explanation:

Answer:

17 boys and 11 girls

Step-by-step explanation:

Create a system of equations where b is the number of boys and g is the number of girls:

b + g = 28

b = g + 6

Solve by substitution, by substituting the second equation into the first one:

b + g = 28

(g + 6) + g = 28

2g + 6 = 28

2g = 22

g = 11

So, there are 11 girls.

Since there are 6 more boys than girls, there are 17 boys.

So, there are 17 boys and 11 girls in the class.

Answer:

y=-2x+7

Step-by-step explanation:

Hi there!

The form of slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

We are given the slope (-2) and a point (3,1)

We can immediately substitute -2 as the slope in the equation

y=-2x+b

Now we need to find b

Because the line will pass through the point (3,1), we can use it to solve for b

Substitute 3 as x and 1 as y

1=-2(3)+b

multiply

1=-6+b

add 6 to both sides to isolate b

7=b

Substitute 7 as b into the equation

The line is y=-2x+7

Hope this helps!

Answer:

the answer is 25 round tables and you will need 18.75 square tables

Step-by-step explanation:

IT is right trust me

Answer: The variable x represents the number of  

✔ square tables

.

The variable y represents the number of  

✔ round tables

.

If y = 9, find the value of x. The committee needs  

✔ 12

square tables.  explanation:

Answer: B

Step-by-step explanation:

4x+3x+2x=180

9x = 180

x = 20

20x3 = 60

Answer:

F(x)= 2x + 10

Step-by-step explanation:

F(×) represent the total amount she will get that week.

The 2 represents her dog bonus, x how many dogs she walked.

10 is the bare minimum she makes each week and it never changes.

Answer:

4=x

Step-by-step explanation:

1/5( 2x+92) = 5x

Multiply each side by 5

5*1/5( 2x+92) = 5x*5

( 2x+92) = 25x

Subtract 2x from each side

2x+92-2x = 25x-2x

92 = 23x

Divide by 23

92/23 = 23x/23

4=x

Answer:

x = 4

Step-by-step explanation:

1/5 ( 2x + 92 ) = 5x

[tex] \small \sf \frac{1}{5} × ( 2x + 92 ) = 5x \\ [/tex]

distribute 1/5 through the parantheses

[tex] \small \sf \frac{2}{5}x + \frac{92}{5} = 5x \\ [/tex]

multiply both side of equation by 5

[tex] \small \sf \frac{2}{5}x \times 5 + \frac{92}{5} \times 5 = 5x \times 5\\ [/tex]

Move all variables to the left hand side and change their sign

combine like terms

calculate

Move all the constant to the right side and change their sign

divide both side by -23x

Answer:

A

Step-by-step explanation:

You divide distance over time so 200 divided by 8.

Answer:

A = 42 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 14 and h = 6 , then

A = [tex]\frac{1}{2}[/tex] × 14 × 6 = 7 × 6 = 42 cm²

Answer:

a translation of 2 units to the left and 7 units up

Step-by-step explanation:

Translation of points (x,y)

At point x, the function can be translated to the left or to the right.

(x-a) is the translation of the point a units to the left, and (x+a) is the translation of the point a units to the right.

At point x, the function can be translated up or down. y+a represents a shift of a units up, and y-a represents a shift of a units down.

(x, y) = (x - 2, y + 7)

x - 2: 2 units to the left.

y + 7: 7 units up

So the fouth option is correct.

Given:

A spinner is divided into 8 equal sections  where 3 are black, 4 are yellow, and 1 is red.

To find:

The probability of it landing either on a yellow or a red section.

Solution:

We have,

Total number of sections = 8

Black sections = 3

Yellow sections = 4

Red sections = 1

Now,

Either yellow or red sections = 4 + 1

                                                = 5

Now, the probability of it landing either on a yellow or a red section is:

[tex]\text{Required probability}=\dfrac{\text{Either yellow or red sections}}{\text{Total number of sections}}[/tex]

[tex]\text{Required probability}=\dfrac{5}{8}[/tex]

Therefore, the required probability is [tex]\dfrac{5}{8}[/tex].

Answer:

In the 23rd  year his income was of $33,900.

Step-by-step explanation:

Joe's income has been increasing each year by the same dollar amount.

This means that his salary after t years is given by:

[tex]S(t) = S(0) + at[/tex]

In which S(0) is the initial salary and a is the yearly increase.

The first year his income was $22,000

This means that [tex]S(0) = 22000[/tex]. So

[tex]S(t) = S(0) + at[/tex]

[tex]S(t) = 22000 + at[/tex]

In the fourth year his income was $24,100

S(4) = 24100, and thus, we use this to find a.

[tex]S(t) = 22000 + at[/tex]

[tex]24100 = 22000 + 4a[/tex]

[tex]4a = 2100[/tex]

[tex]a = \frac{2100}{4}[/tex]

[tex]a = 525[/tex]

So

[tex]S(t) = 22000 + 525t[/tex]

In which year was his income 33,900

This is t for which S(t) = 33900. So

[tex]S(t) = 22000 + 525t[/tex]

[tex]33900 = 22000 + 525t[/tex]

[tex]525t = 11900[/tex]

[tex]t = \frac{11900}{525}[/tex]

[tex]t = 22.67[/tex]

Rounding up, in the 23rd year his income was of $33,900.

9514 1404 393

Answer:

  (4)  9

Step-by-step explanation:

The product of the segment lengths of each chord is the same.

  LO×OK = MO×ON

  ON = LO×OK/MO = 3×3/1

  ON = 9

Answer:

A midsegment of a triangle is a segment that connects the midpoints of two sides of a triangle

Answer:

B.

Step-by-step explanation:

6.4 times 10 to the 3rd power (6.4 times 10x10x10) is equal to 6400, therefor, B is the correct answer.