Damien needs to order more pill containers for the pharmacy. Currently, there are 156 8-dram bottles, 78 20-dram bottles, and 132 30-dram bottles. All the bottles come in cases of 140 bottles. The pharmacist wants all stocks to be replenished so that there are at least 400 of each bottle type. How many cases of each bottle type does Damien need to order

Answers

Answer 1

Answer:

for 8 gram bottle =  2 cases

for 20 gram bottle = 3 cases

for 30 gram bottles = 2 cases

Step-by-step explanation:

Determine how many cases of each bottle type Damien needs to order

i) For 8-gram bottles

available bottles = 156

required amount ≥ 400

extra bottles to be ordered = 400 - 156 = 244 bottles

since case contains 140 bottles , the number of cases to be ordered

= 244 / 140 = 1.74 cases ≈ 2 cases

ii) for 20 gram bottles

available bottles = 78

required amount  ≥ 400

Extra bottles to be ordered = 400 - 78 = 322 bottles

therefore the number of cases = 322 / 140 = 2.3 cases ≈ 3 cases

iii) For 30 gram bottles

available bottles = 132

required amount  ≥ 400

Extra bottles to be ordered = 400 - 132 = 268

therefore the number of cases = 268 / 140 = 1.9 ≈ 2 cases


Related Questions

Write the linear inequality shown in the graph. The gray area represents the shaded region. y ≤ –x + 4 y ≤ –x – 4 y ≥ –x – 4 y ≥ –x + 4

Answers

For Example:

Write the linear inequality shown in the graph. The gray area represents the shaded region.

A. y ≤ 3x + 4

B. y ≤ 3x – 4

C. y ≥ 3x + 4

D. y ≥ 3x – 4

Answer: C

Step-by-step explanation:

1. The graph indicates that the line intersect the y-axis at -4.

2. Then, you must choose any point that are located within the region and replace them to see if the inequality is satisfied. Therefore, you have:

Point (0,2)

I hope this helps! :)

SYSTEM OF EQUATIONS

The sum of three times Sophia's age and twice Nick's age is 73. Twice Sophia's age plus four times Nick's age is 86. How old is Sophia?

Answers

3s+2n=73
2s+4n=86


Multiply top equation by 2 and then subtract second equation

4s=60
Sophia is 15
Nick is 14

Can someone help me with this problem number 4

Answers

Answer:

m = -11/7

Step-by-step explanation:

change equation into slope-intercept form:

7y = -11x + 2

y = -[tex]\frac{11}{7}[/tex]x + 2/7

slope is the coefficient of the 'x' term

A golf instructor is interested in determining if her new technique for improving players’ golf scores is effective. She takes four (4) new students. She records their 18-hole scores before learning the technique and then after having taken her class. She conducts a hypothesis test. Player 1 Player 2 Player 3 Player 4 Mean score before class 83 78 93 87 Mean score after class 80 80 86 86 This is which of the following and Why? 1. a test of two independent means. 2. a test of two proportions. 3. a test of a single mean. 4. a test of a single proportion.

Answers

Answer:

A test of two independent means.

Step-by-step explanation:

The test above is comparing the two independent mean scores (mean before taking her class ; μ1 and mean score after taking her class, μ2. This two mean values are tested to ascertain if there exist any statistical difference between them. This differs from the proportion which is ecekuared by the ratio of success or failure. The single mean and single proportion test only has one group which its mean or proportion is tested.

The null and alternative hypothesis for two independent sample means may be expressed thus :

H0 : μ1 = μ2

Alternative hypothesis

H1 : μ1 ≠ μ2

what would the class size be if 30 people represent 40% of the class?

Answers

Answer:

110 students

Step-by-step explanation:

%40 Divide 30

30 divided by %40 is 0.75

SO there is 60% left

%60 divided by 0.75

That is 80

80 + 30 =

110

Simplify: -6(x + 5) show work plz

Answers

Answer:

The answer is -6x - 30

Step-by-step explanation:

1) Expand by distributing terms.

[tex] - 6x - 6 \times 5[/tex]

2) Simplify 6 × 5 to 30.

[tex] - 6x - 30[/tex]

Thus, the answer is -6x - 30.

Answer:

-6x - 30

Step-by-step explanation:

Multiply using the distributive property.

-6x - 30

Hope this helps

-2×-7y=30
7×+4y=18
×=
y=​

Answers

Answer:

Answer is -7      Hope this helps :D

Step-by-step explanation:

HELPP! I"LL GIVE THE FIRST RIGHT ANSWER BRAINLIEST!!!

Answers

Answer:

61

Step-by-step explanation:

Heights of Smith's Adult grandchildren median: 339

Heights of Thompsons' Adult Grandchildren median: 400

400 - 339 = 61

50 POINTS AND BRAINLIEST!

Determine if the graphed function is linear or nonlinear.
Select from the drop down menu to correctly complete the sentence.
The graphed function is

A. Linear
B. Non-linear

Answers

Answer:

its A linear

Step-by-step explanation:

its going upwards and that means its linear and when the end point is going downwards that means its non linear  

Answer:

my answer was incorrect my mistake

Mean = 25


Standard Deviation = 3.8


P(X

Find the value of k.


Round to 2 decimal values.

Answers

Answer:

The normal distribution is explained for the solution of this question.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean = 25, Standard Deviation = 3.8

This means that [tex]\mu = 25, \sigma = 3.8[/tex]

So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{X - 25}{3.8}[/tex]

If P(X > k) = a

We have to find [tex]X = k[/tex] when Z has a pvalue of 1 - a.

If P(X < k) = a

We have to find [tex]X = k[/tex] when Z has a pvalue of a.

Nick is splitting 4 quarts of ice cream with 9 members of the team. If the ice cream is split​ evenly, how many will each person​ get? Explain.

Answers

Answer:

Each member will get 3 and 1/2 cups or 3.5 cups of ice cream.

I need help will mark you the brainliest

Answers

Answer:

i thinnk A

Step-by-step explanation:

Which expression is equivalent to f(x)=6x^2-13x+5

Answers

Answer:

(3x - 5)(2x - 1)

Step-by-step explanation:

6x² - 13x + 5

6x² - (10 + 3)x + 5

6x² - 10x - 3x + 5

2x(3x - 5) - (3x - 5)

(3x - 5)(2x - 1)

Which means, 6x² - 13x + 5 is equivalent to (3x - 5)(2x - 1) or vice versa

Tai has 1/2 gallon of milk left in his
refrigerator. He pours the milk into
glasses that can each hold a 5/64 gallon.
How many glasses can Tai fill
completely with milk?

Answers

Answer:

He can completely fill six glasses, and there will be one glass 2/5 of the way full.

Step-by-step explanation:

at the market Miss Winn bought 3/4 IB of grapes and 5/8 idea of cherries how many ounces of grapes did Miss win by​

Answers

Answer:

12 oz of grapes

Step-by-step explanation:

1 lb = 16 oz so 16*3/4 = 12

the spinner above is used in a game. what is the theoretical probability of the given event with one spin? p(5)

a. 7/8
b. 1/8
c. 5/8
d. 0

Answers

B! 1/8 because it lands on one of the numbers each time and it’s numbered 1-8

The theoretical probability of the given event with one spin p(5) is,

⇒ p (5) = 1 / 8

What is mean by Probability?

The word probability refers to the likelihood of an event occurring. Probability means possibility. And,  It is branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

The spinner is used in a game.

Since, There are total 8 outcomes in spin.

Hence. The theoretical probability of the given event with one spin p(5) is,

⇒ p (5) = 1 / 8

Thus, The value of theoretical probability of the event with one spin p(5) is,

⇒ p (5) = 1 / 8

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ7

Plssss help with answer !!!!!....

Answers

Answer:

Step-by-step explanation:

From the graph, the initial distance of the cyclist decreases with time before it starts to increase at the same rate.

i. When t = 60 minutes,

distance = (60 -60)

              = 0

ii. When t = 120 minutes,

distance = (120 -60)

               = 20 km

This implies that the endpoint of the cyclist's race was 20 km from the water station which took 60 minutes. So that on meeting the endpoint, the cyclist cycled back towards the water station at the same rate.

Determine if the equation y = 15(1.35)* represents exponential growth or decay and justify. Hint: Think about the growth and decay equations.​

Answers

Answer:sdfghgfdfghnhgfdfgh

Step-by-step explanatsdfghjhgfghjk

Answer: Exponential growth

====================================================

Explanation:

The equation is in the form y = a*(b)^x

The 'a' is the initial or starting value. In this case, a = 15.

The b is the base of the exponent which is tied to growth or decay. If 0 < b < 1, then we have decay. If b > 1, then we have growth.

Since b = 1.35, and 1.35 > 1, this means b > 1 and the given equation represents exponential growth.

Solving 1+r = 1.35 leads to r = 0.35. This means the growth rate is 35%

simplify the expression Please HELP

Answers

9 x (24 / 12)^2 + 5

The order of operations is PEMDAS - parenthesis, exponents, multiplication/division, addition/subtraction.

Use the order of operations to know what to simplify first in an expression. P = parenthesis so you simplify what is in parenthesis first. 24/12 = 2, so your first box is 2. The expression now looks like this:
9 x (2)^2 + 5

The next letter is E, which stands for exponents. You square two next. 2^2 = 4 so your next box is 4. The equation now looks like this:

9 x 4 + 5

The next two letters of PEMDAS or MD, which stand for multiplication/division. If you have either or both of these to do in your expression, you do them now. That means you now calculate 9 x 4, which is 36. This leaves you with 36 + 5. Your 3rd box is 36.

The final letters of PEMDAS are AS. Doing any addition/subtraction happens last. Now you can add 36 + 5 to get 41 (your final box)

9 x (24 / 12)^2 + 5 = 41

Let me know if you have any questions/didn’t understand something. I hope this helps :)

PLEASE HELP ME FAST!!!!!!
WILL MARK BRAINLIEST!!!!!!!
Phillip is ordering an ice cream sundae that consist of ice cream and
toppings. He can get either chocolate or vanilla as his ice cream. For his
toppings, he can get either sprinkles, almonds, or hot fudge. How many
different ways can Phillip order ice cream?

Answers

EDITED: Answer: Phillip can order 12 different ways of ice cream.

Step-by-step explanation:

Ahem.

He can only have Vanilla or Chocolate. So let's pet them in a separate Row.

Vanilla

With SprinklesWith AlmondsWith Hot FudgeWith Sprinkles and AlmondsWith Sprinkles and Hot FudgeWith Almonds and Hot Fudge

Chocolate

1.With Sprinkles

2.With Almonds

3.With Hot Fudge

4.With Sprinkles and Almonds

5.With Sprinkles and Hot Fudge

6.With Almonds and Hot Fudge

Celesta and Sam found that 14 marbles would fill each pouch. There were 12 pouches. How many marbles
did they need to fill all the pouches?

Answers

168 marbles because you do 14 x 12 you get 168 marbles

Two angles are complementary. The measure of the first is (3x+14) and the measure of the second one is (5x-20). What are the measures of the two angles?

Answers

Answer:

x=17

Step-by-step explanation:Isolate the variable by dividing each side by factors that don't contain the variable. x=17. I hope this helps

Which rectangle represents dilation by a scale factor of 2 from the rectangle's center?

Answers

Answer:

it’s D

Step-by-step explanation:

I took the test

In a lab experiment, 5400 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 4 hours. How many bacteria would
there be after 17 hours, to the nearest whole number?

Answers

Answer:

it’s 102747.494736, estimate is 102747

Step-by-step explanation:

what expressions are equivalent to 10 - 12​

Answers

Answer:

B

Step-by-step explanation:

(* ̄3 ̄)╭ When subtracting they both equal the same of -2

Answer:

B

Explanation:

When you multiply 2 and 5 (10) and 2 and -6 (-12), you get the same answer as 10 - 12.

write an equation in slope intercept form (4,-2) (0,-5)​

Answers

Answer:

y=-7/4x+5

Step-by-step explanation:

The line contains points at (4,-2) and (0,-5)

(y1-y2) / (x1-x2) = slope

(4,-2) =(x1,y1)

(0,-5) = (x2,y2)

(-2-5) / (4-0)

-7 / 4 = -7/4

y= -7/4x + b

plug in points for x and y to find b

-2=-7/4(4)+b

-2=-7+b

5=b

y=-7/4x+5

What is the median in the box plot?
50
60
70
80
90
100

Answers

Answer:75

Step-by-step explanation:

50,60,(70,80),90,100

70+80=150

150÷2=75

Therefore, 75is the median

What is the value of k in the following equation?
2(4k + 5) + 3(3 – 3k) = 25

Answers

Answer:

K = - 6

Step-by-step explanation:

Let's solve your equation step-by-step.

2(4k+5)+3(3−3k)=25

Step 1: Simplify both sides of the equation.

2(4k+5)+3(3−3k)=25

(2)(4k)+(2)(5)+(3)(3)+(3)(−3k)=25(Distribute)

8k+10+9+−9k=25

(8k+−9k)+(10+9)=25(Combine Like Terms)

−k+19=25

−k+19=25

Step 2: Subtract 19 from both sides.

−k+19−19=25−19

−k=6

Step 3: Divide both sides by -1.

3x + 8 < 4(x - 3)Solve the inequality and graph the solution set.

Answers

Step-by-step explanation:

3x+8<4x−12

Move all terms containing x

to the left side of the inequality.

Tap for more steps...

−x+8<−12

Move all terms not containing x

−x<−20

x>20

Interval Notation:(20,∞)

Answer choices
36
32
28
Please help due now

Answers

Answer:

36 it should be pretty easy but no problem

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