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grin007 [14]
3 years ago
13

Item 19 Question 1 A nurse is making identical first aid bags for patients using 72 antiseptic wipes, 55 adhesive bandages, and

36 packets of ointment. What is the greatest number of identical first aid bags the nurse can make with the least amount of items leftover? Describe the contents of each bag.
Mathematics
1 answer:
german3 years ago
5 0

Answer:

36 identical bags with 2 antiseptic wipes, 1 adhesive bandage and 1 ointment in each bag.

Leftovers: 19 adhesive bandages.

Step-by-step explanation:

First of all, let us try to find out the maximum number of identical first aid bags that can be prepared from the given contents.

The maximum number of bags that can be prepared will be equal to the quantity of the content which is available in minimum amount.

And that is number of packets of ointments.

Therefore, greatest number of bags that can be prepared is <em>36</em>.

Now, it can be seen that 72 antiseptic wipes are available.

72 is a multiple of 36.

Therefore, if we put 2 antiseptic wipes in each bag, no leftovers will be there for packet of ointments and antiseptic wipes.

Now, let us consider adhesive bandages.

Maximum of 1 adhesive bandages can be put in each bag because only 55 such bandages are available.

Therefore, the answer is:

<em>36 identical bags with 2 antiseptic wipes, 1 adhesive bandage and 1 ointment in each bag.</em>

<em>Leftovers: 19 adhesive bandages.</em>

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An open top box is to be made by a 24 in by 24 in. by 36 in. piece of cardboard by removing a square from each corner of the box
galben [10]

Answer:

X= -12 +6√10

X= 6.973

Step-by-step explanation:

Volume of the box= (36-2x)(24-2x)x

Volume of the box

=( 864 -96x -4x²)x

But 864 -96x -4x²

=216 - 24x-x²

Solving for x quadratically

X= (24+12√10)/-2

X= -12 -6√10

X= -30.97

Or

X= (24-12√10)/-2

X= -12 +6√10

X= 6.973

X will definitely be a positive number

So X= -12 +6√10

X= 6.973

4 0
4 years ago
PLEASE HELP!! I WILL BRAINLIEST
ArbitrLikvidat [17]

Answer:

81.8%

Step-by-step explanation:

Mean = \mu = 40

Standard deviation = \sigma = 5

Now we are supposed to find out what percent of the numbers fall between 35 and 50

z = \frac{x-\mu}{\sigma}

Substitute the values

z = \frac{x-40}{5}

Now for P(35<x<50)

Substitute x = 35

z = \frac{35-40}{5}

z =-1

Substitute x = 50

z = \frac{50-40}{5}

z =2

So, P(-1<z<2)

P(z<2)-P(z<-1)

=0.9772-0.1587

=0.8185

= 0.818 \times 100

=81.8%

Hence  81.8% percent of the numbers fall between 35 and 50

7 0
3 years ago
Find the unit rate. <br><br> $121.50 for working 18 hours
Monica [59]
6.75 per hour
121.50/18 = 6.75
7 0
3 years ago
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Consider the quadratic equation 3x^2-6=2x. (a) What is the value of the discriminant? (b) What does the discriminant of the quad
aleksley [76]

Answer:

(a) discriminant is positive, 76

(b) the above tells you there are two real roots

Step-by-step explanation:

the discriminant is 'b² - 4ac'

3x² - 2x - 6 = 0  ∴ a = 3, b = -2, c = -6

(-2)² - 4(3)(-6) = 4 + 72

5 0
3 years ago
Write the equation of the line that is per to x = -3 and passes through the point (4,-7)
Anon25 [30]

Answer:

y=-1/3x-17/3

Step-by-step explanation:

I assume you mean <em>perpendicular</em><em> </em>to x=-3.

In that case, we would flip and take the negative. A perpendicular slope would be x=-1/3

Now we plug the point (4,-7) into the equation

y=mx+b

y=-1/3x+b

-7=-1/3*4+b

-7=-4/3+b

b= -17/3

The whole equation would be:

y=-1/3x-17/3

<em>I hope this helps! :)</em>

8 0
3 years ago
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