1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anika [276]
3 years ago
5

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 ____
Mathematics
1 answer:
Hoochie [10]3 years ago
6 0

Answer:

The number of vials of type A insulin sold were _<u>21</u>__ and the number of vials of type B insulin sold were __<u>29</u>__.

Step-by-step explanation:

Let a = number of type A vials.

Let b = number of type B vials.

38.85a + 30.34b = 1695.71

a + b = 50

            38.85a + 30.34b = 1695.71

(+)        -38.85a - 38.85b = -1942.50

---------------------------------------------------

                               -8.51b = -246.79

b = 29

a + b = 50

a + 29 = 50

a = 21

Answer: The number of vials of type A insulin sold were _<u>21</u>__ and the number of vials of type B insulin sold were __<u>29</u>__.

You might be interested in
Which of the following is the definition of a rational number? a number that can be written as a nonterminating or nonrepeating
Mazyrski [523]
The answer is <span>a number that can be written as a ratio of two integers. 

I hope this helps!</span>
7 0
3 years ago
Determine the corresponding general form of each of the following vertex form
SSSSS [86.1K]

Answer:

Step-by-step explanation:

(a + b)² =a² + 2ab + b²

(a -b)² = a² - 2ab + b²

1) y = (x -1)²

 y= x² -  2*x*1 + 1

y = x² - 2x + 1    

Ans: C

2)y = (x +4)² + 5

y = x² +2*x*4 + 4² + 5

  = x² + 8x + 16 + 5

y = x² + 8x + 21

C

3) y = -(x + 9)²- 10

y = - [x² + 18x + 81] - 10

= -x² - 18x - 81 - 10

y =-x² - 18x - 91

B

4) y = 3(x + 2)² - 18

y =3 [x² + 4x + 4] - 18

y =  3x² + 12x  + 12 - 18

y =3x²  + 12x - 6

A

5) y = -2(x + 1)² - 16

       = -2[x² + 2x + 1] -16

       = -2x² - 4x - 2 - 16

     y = -2x² - 4x -  18

A

6) y = 5(x + 5)²

        =5[x²+ 10x + 25]

y = 5x² +50x + 125

A

7)y = (1/2)(x + 8)² - 8

  y = (1/2) (x² + 16x + 64) - 8

y =  \dfrac{1}{2}*x^{2}+ \dfrac{1}{2}*16x  + \dfrac{1}{2}*64 -8\\\\\\y =\dfrac{1}{2}x^{2}+8x +32 - 8\\\\\\y=\dfrac{1}{2}x^{2} +8x + 24

A

8) y = (x + 3/2)² + 3/4

y = x^{2} +2*x*\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{3}{4}\\\\y=x^{2}+3x+\dfrac{12}{4}\\\\\\y=x^{2}+3x + 3

C

9) y = 2[x² + 16x + 64] - 5x

y = 2x² + 32x + 64 - 5x

y =2x² + 27x + 6

4 0
2 years ago
there are a total of 100 balloons.if the ratio of yellow balloons to blue balloons is 8 to 12,how many of them are yellow?
IrinaK [193]
The ratio of yellow balloons to blue balloons is 8:12
Then there are 100 balloons. Making the equation, we are able to have:
8X + 12X = 1000
20x = 1000
X = 50.

Yellow balloons = 8x = 8 * 50 = 400 yellow balloons
Blue balloons = 12X = 12 * 50 = 600 blue balloons

So there are  400 yellows balloons.
8 0
3 years ago
HELP!!!!<br> What are the three ways to create samples spaces of all outcomes?
Kisachek [45]

Answer:

The three most common ways to find a sample space are: To List All the Possible Outcomes. Create a Tree-Diagram. Use a Venn Diagram.  

For example, let's suppose we flip a coin and roll a die.

1. How many outcomes are possible?

2. What is the probability space?

3. Identify the events.

Step-by-step explanation:

sorry

7 0
3 years ago
What is the surface area of a cylinder with base radius 4 and height 72​
Ne4ueva [31]

Answer:

1910.09

Step-by-step explanation:

A≈1910.09

r Radius

4

h Height

72

5 0
4 years ago
Read 2 more answers
Other questions:
  • over the summer steven"s tutor told him he needed to complete 15 total workbook pages. he finished 5 workbook pages the first we
    11·1 answer
  • O.7 in simplest form
    9·2 answers
  • X squared plus 5x plus 6 in a factor of binomials
    12·1 answer
  • What is 5 8/12 in simplest form?
    12·2 answers
  • A box contains 10 pins 3 are blue and 7 are green. Two pins are taken out the box without replacement. Work out the probability
    6·1 answer
  • In rhombus ABCD, AC=30 inches and BD = 40 inches. what is the perimeter.
    9·1 answer
  • Please help me!<br> [One Step Inequalities]
    11·1 answer
  • Find the values of x and y?
    13·2 answers
  • Patricia can buy individual songs for $1.00 to download. Also, an entire album costs $10.00 to download. She can spend no more t
    6·1 answer
  • a parabola contains the following points.(-5,8),(2,-3),(3-1) Which of the following systems of equations could be solved in orde
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!