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GuDViN [60]
3 years ago
11

Dr. Potter provides vaccinations against polio and measles. Each polio vaccination consists of 6 doses, and each measles vaccina

tion consists of 3 doses. Last year, Dr. Potter gave a total of 60 vaccinations that consisted of a total of 225 doses. How many more measles vaccines did Mr. Potter give than polio? Show All Work !!
Mathematics
1 answer:
Lynna [10]3 years ago
7 0

Answer:

The number of measles vaccines that Dr. Potter give than polio vaccines is 30

Step-by-step explanation:

The parameters given are;

The number of doses given in a polio vaccine = 6 doses

The number of doses given in a measles vaccine = 3 doses

The number of vaccinations given by Dr. Potter last year = 60 vaccinations

The number of doses given in the 60 vaccinations = 225 doses

Let the number of polio vaccine given last year by Dr. Potter = x

Let the number of measles vaccine given last year by Dr. Potter = y

Therefore, we have;

6 × x + 3 × y = 225.......................(1)

x + y = 60.......................................(2)

From equation (2), we have;

x = 60 - y

Substituting the derived value for x in equation (1), we get;

6 × x + 3 × y = 225

6 × (60 - y) + 3 × y = 225

360 - 6·y + 3·y = 225

360 - 225 = 6·y - 3·y

135 = 3·y

y = 45

x = 60 - y = 60 - 45 = 15

Therefore;

The number of polio vaccine given last year by Dr. Potter = 15

The number of measles vaccine given last year by Dr. Potter = 45

The number of measles vaccines that Dr. Potter give than polio vaccines = 45 - 15 = 30 vaccines.

The number of measles vaccines that Dr. Potter give than polio vaccines =  30 vaccines.

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Dmitry_Shevchenko [17]

Answer:

x = 5, y = -1/2

Step-by-step explanation:

3.5x - 5y = 20

3x + 4y = 13 multiply by 1.25 so the y's match up (you could match x's too)

3.75x + 5y = 16.25

–––––––––––––––––––––––

3.5x - 5y = 20

3.75x +5y = 16.25

7.25x + 0y = 36.25 you can add or subtract here (on this equation you add)

7.25x=36.25

x=5 So now we have x=5 and to find y we can just plug in x into one of the equations

–––––––––––––––––––

3(5) + 4y = 13

15 + 4y = 13

4y = -2

y = -1/2

x = 5, y = -1/2

Then you can plug in both to check your answers.

4 0
3 years ago
Solve for the value of m.<br> 38°<br> (8m+4)°
Neporo4naja [7]

Answer:

m = 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Equality Properties
  • Combining Like Terms

<u>Geometry</u>

  • Complementary Angles - Angles that add up to 90°

Step-by-step explanation:

<u>Step 1: Set Up Equation</u>

<em>The 2 angles must add up to 90°.</em>

(8m + 4)° + 38° = 90°

<u>Step 2: Solve for </u><em><u>m</u></em>

  1. Combine like terms:                    8m + 42 = 90
  2. Isolate <em>m</em> term:                             8m = 48
  3. Isolate <em>m</em>:                                      m = 6
4 0
3 years ago
On a Saturday, Saul can cut 4 lawns in 6 hours. If Mitch can mow lawns at the same rate, how long will it take him to mow 9 lawn
alukav5142 [94]

Answer:

13 1/2 this is the answer

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6 0
2 years ago
Which ones do I choose
weeeeeb [17]
It should be B because is a minus is in front of something that is a negative they change to be positive

7 0
3 years ago
jane had a fourth idea for her allowance:Give jane $0.50 in january then multiply her allowance by 4 each month
Alika [10]

Answer:First, identify what the question is asking for.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Next, identify the numbers.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Next, identify the key words. These include add, subtract, remove, spend, earn, less, more, times, twice, half, etc.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Finally, convert everything into an equation.

42

=

2

⋅

blouse

−

14

Now, solve the equation.

56

=

2

⋅

b

l

o

u

s

e

b

l

o

u

s

e

=

28

The blouse was 28 dollars.

Step-by-step explanation:

6 0
2 years ago
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