Mathematics, 20.01.2020 19:31 kelli151

Each polio vaccination consists of 4 dieses , and each measles vaccination consists of 2 doses. last year ,dr. potter gave a total of 60 vaccinations that consisted of a total of 184 doses. how many polio vaccinations and many measles vaccinations did dr. potter give last year?

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Answer from: nerual0503

Last year Dr. Potter give 32 Polio vaccination and 28 measles vaccination.

Step-by-step explanation:

Given:

Each Polio vaccination consists of 4 doses , and each measles vaccination consists of 2 doses.

Last year ,Dr. Potter gave a total of 60 vaccinations that consisted of a total of 184 doses.

Now, to find the number of polio vaccinations and many measles vaccination.

Let the number of Polio vaccination be

And let the number of measles vaccination be

So, the total number of vaccinations:

x+y=60

y=60-x .......(1)

As, given each Polio vaccination consists of 4 doses , and each measles vaccination consists of 2 doses.

Thus, the total number of doses:

4x+2y=184

Substituting the value of from equation (1):

4x+2(60-x)=184

4x+120-2x=184

2x+120=184

Subtracting both sides by 120 we get:

2x=64

Dividing both sides by 2 we get:

x=32.

The number of Polio vaccination = 32.

Now, putting the value of in equation (1):

y=60-x

y=60-32

y=28.

The number of measles vaccination = 28.

Therefore, last year Dr. Potter give 32 Polio vaccination and 28 measles vaccination.

Answer from: Quest

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b): y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4 perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

Which equation represents a line perpendicular to the line shown on the graph?

Answer from: Quest

$7.00 \cdot 10^{-7} m - 1\cdot 10^{-3} m$

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

$1 nm = 10^{-9} m\\1 mm = 10^{-3} m$

let's start from the lower value, we have:

$700 nm = 700 \cdot 10^{-9} m = 7.00 \cdot 10^{-7} m$ (we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

$1 mm = 1 \cdot 10^{-3} m$

so, the range of wavelength of infrared radiation is:

$7.00 \cdot 10^{-7} m - 1\cdot 10^{-3} m$

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