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Anika [276]
2 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]2 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>__.

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Answer:

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(b) Write and expression for the slope of line r:

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Step-by-step explanation:

(a) A translation is a rigid transformation. How does this statement support line s being parallel to line r?

Because ALL of the points of line r move the same distance in the same direction, then the inclination of the line s doesn't change with respect line r.


(b) Write and expression for the slope of line r.

Line r goes through the points:

P=(m,n)=(xp,yp)→xp=m, yp=n

Q=(j,k)=(xq,yq)→xq=j, yq=k

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(c) Write and expression for the slope of line s.

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P'=(m,n+ϴ)=(xp',yp')→xp'=m, yp'=n+ϴ

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ms=(yq'-yp')/(xq'-xp')

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Eliminating the parentheses in the numerator:

ms=[k+ϴ-n-ϴ]/(j-m)

Simplifyng:

ms=(k-n)/(j-m)


(d) Line q is a vertical is a vertical translation of line s 3 units down. P'' is the image of P'. What are the coordinates of P''?

3 units down, then change only the ordinate y:

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Replacing xp' and yp':

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