At the end of the day, a pharmacist counted and found she has 4/3 as many prescriptions for antibiotics as she did tranquilizers. She had 84 prescriptions for the two types of drugs. How many prescriptions did she have for tranquilizers?

Answers

Answer 1

Final answer:

By using algebra to model the problem, we find that the pharmacist had 36 prescriptions for tranquilizers.

Explanation:

In the given problem, we need to find out the number of prescriptions for tranquilizers. We know that the pharmacist has 4/3 as many prescriptions for antibiotics as tranquilizers. We also know that the total number of prescriptions for both the drugs is 84. We can make a mathematical model out of this information and solve for the number of tranquilizer prescriptions.

Let us suppose the number of tranquilizer prescriptions is x. Then the number of antibiotic prescriptions would be 4/3*x. Together, these prescriptions add up to 84.

So, we can write the equation: x + 4/3*x = 84

To make the equation simpler we can multiply the entire equation by 3 which transforms the equation into: 3x + 4x = 252

Combining like terms gives us: 7x = 252

Finally, dividing both sides of the equation by 7 gives us the solution: x = 252 / 7

So, x = 36

Therefore, we conclude that the pharmacist had 36 prescriptions for tranquilizers.

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Related Questions

PLEASE HELP

Which is the graph of the linear function that is represented by the equation y=1/2x-2

Answers

To do this, lets identify the slope and the y-intercept.

y = mx + b
y = -1/2x - 2

The slope is -1/2 and -2 is the intercept.

So, it is the 3rd one.

Hope this helps!

It would be the 3rd answer. Linear functions take on the equation
y = mx + b , m is the slope and b is the y intercept. That means in the equation given
m = 1/2 (slope) and b = -2 (y intercept)
The slope is rise over run or y/x so since the slope is 1/2 for every 1 unit moved up, you move 2 across. The y intercept is where the graph crosses the y axis.

The table shows which school subjects are favored by a group of students. Predict the number of students out of 400 that would pick science as their favorite subject.
Subject Number Of Responses
Math 6
Science 3
English 4
History 7

Answers

First, add up all of the numbers.

6+4+7+3=20

3 out of the 20 students favour Science.

You need to find the total out of 400, so set up a proportion.

3/20 = x/400

To solve the proportion, you multiply 3 and 400 to get 1,200, then divide it by 20, which is 60.

So out of the 400 student, 60 favour Science.

60 should favor science

I need help quick!
Which of the following algebraic expressions does NOT represent the word phrase, "a number times 5"?
A. k x 5
B. k5
C. 5 x k
D. 5k

Answers

This one is tricky....but I'll go for D cause your multiplying a number towards 5

express 24 + 64 as a product of the GCF and another sum

Answers

8(3+8)
24= 2x2x2x3
64= 2x2x2x2x2x2
GCF=8
8x3 + 8x8 = 24+64 + 88

use the working backword method to find the solution of the equation
4y-1=7

Answers

You'd do plus 1 cause that the backward way then add one to seven also and you'll have 4y=8 then divide 4 to each side so y=2

4y-1=7

Basiclly, you need to add one to the other side and subtract one from the original side so there is just 4y there.

That leaves you with 4y=8

Then divide both sides by four so there is no number by y. 8/4 is 2.
y=2.

And when you check your answer, 4(2)-1=7
8-1=7
7=7
The answer is true.

there are 10 less red skittles than orange Skittles in a bag. The orange Skittles are also twice the number of red skittles. Find the number of red and orange Skittles in the bag.

Answers

Answer: there are 20 orange skittles and 10 red skittles in the bag.

Explanation:

Since we have given that

Let the number of red skittles be x

Let the number of orange skittles be 2x

According to question,

[tex]2x-x=10\\x=10[/tex]

So, there are 10 red skittles in the bag and

The number of orange skittles in the bag is given by

[tex]2x=2\times 10=20[/tex]

Hence, there are 20 orange skittles and 10 red skittles in the bag.

The number of red and orange Skittles in the bag are;

I. Red skittles, R = 10

II. Orange skittles, S = 20

Let the orange skittles be denoted by S.Let the red skittles be denoted by R.

To find the number of red and orange Skittles in the bag;

Translating the word problem into a mathematical (algebraic) expression, we would have;

[tex]R = S - 10[/tex] ....equation 1.

[tex]S = 2R[/tex] ....equation 2.

Substituting eqn 2 into eqn 1, we have;

[tex]R = 2R - 10\\\\2R - R = 10[/tex]

Red skittles, R = 10

To find the number of orange skittles;

[tex]S = 2[/tex] × [tex]10[/tex]

Orange skittles, S = 20

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In a class, three students were running for president. Sara got 1/2 of the votes, Mike got 1/3 of the votes. What fraction of the votes did Imani get?

Answers

You need to give some sort of table or the number of the total vote, so I can know and help you out, I can't do this without a table or the total votes.

I need to learn how to do this

Answers

2x + 6 >-6

subtract 6 from both sides

2x > -12

divide both sides by 2

x > -6

If an angle measures 43°, then the angle is acute.
Are the statement and its inverse true?
Both the statement and its inverse are false.
The statement is false, but the inverse is true.
Both the statement and its inverse are true.
The statement is true, but the inverse is false.

Answers

The statement is true, but the inverse is false.
Anything below 90° is a acute angle, so any degree between 1 and 90 is acute. Meaning if it inverse doesn't equal 43°, but can be 44° for example, it can be acute.

Answer:the answer is The statement is true, but the inverse is false.

Step-by-step explanation:

A scuba diver is swimming 15 feet below the water’s surface. The diver swims up slowly at 0.5 feet per second for 4 seconds; and then stops to look at an eel. Finally, the diver swims up for 3 more seconds at 0.4 feet per second. What is the diver’s new depth

Answers

0.5 x 4 = 2 feet / 2 feet in 4 seconds
15 - 2 = 13
New depth: 13 feet

0.4 x 3 = 1.2 feet / 1.2 feet in 3 seconds
13 - 1.2 = 11.8
New depth: 11.8 feet

Answer: The diver's new depth is 11.8 feet below the water's surface.

Step-by-step explanation:

Since we have given that

Depth below the water's surface = 15 feet

The diver swims up slowly at 0.5 feet per second for 4 seconds.

Number of miles he swims up is given by

[tex]0.5\times 4\\\\=2\ feet[/tex]

Number of miles he swims up for 3 more seconds at 0.4 feet per second.

So, Number of miles he swims up is given by

[tex]0.4\times 3\\\\=1.2\ feet[/tex]

So, the diver's new depth would be

[tex]-15+2+1.2\\\\=-15+3.2\\\\=-11.8\ feet[/tex]

Hence, the diver's new depth is 11.8 feet below the water's surface.

Jessie enjoys running everyday for excercise. On Monday, he ran 3.30 miles. On Tuesday, he ran 3.09 miles and on Wednesday he ran 2.98 miles. On what day did Jessie run the farthest?

Answers

He ran the farthest on Monday.

Final answer:

Jessie ran the farthest on Monday when he ran 3.30 miles.

Explanation:

To determine on which day Jessie ran the farthest, we need to compare the distances he ran on each day. Let's list the distances:

Monday: 3.30 milesTuesday: 3.09 milesWednesday: 2.98 miles

From the list, we can see that Jessie ran the farthest on Monday when he ran 3.30 miles.

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recall that two angles are complementary if the sum of their measure is 90 degrees find the measure of the two complementary angles if one of the angle is twice the other

Answers

The two complimentary angles will be 60 degrees and 30 degrees

3n-(2 + n) what value makes this expression equal to 6?
A.5 B.6 C.3 D.4

Answers

The answer is D. If you substitute those values for n, you should be able to find that 4 makes the expression equal to 6.

3n-(2 + n)
= 3n - 2 - n
= 2n - 2

if this 2n - 2 equal to 6 then

2n - 2 = 6
2n = 8
n = 4

answer
D.4

Mark is planning a trip to see his grandmother. He will travel for three days. He plans to travel 1,390 miles, and his car gets 25 miles to a gallon of gasoline. He plans to pay $1.99 per gallon of gasoline. How much money should mark budget for gasoline for his trip?

Answers

1,390 ÷ 25 = 55.6
55.6 × 1.99 = 110.644
He should budget $110.7

Someone pleaseee!!! I really need it thank u

Answers

3 is the chord.

a chord lies inside a circle and does not continue outside of it.

A chord of a circle is a straight line segment whose endpoints both lie on the circle.

Hence, the answer is 3.

Find −115+(−35) Write your answer as a fraction in simplest form.

Answers

Final answer:

To find -115 + (-35), simply add the two numbers as if they were positive, then add a negative sign, resulting in -150. It can be written as a fraction in simplest form as -150/1.

Explanation:

The operation in this question is addition. You are adding two negative numbers.

To add two negative numbers, simply add the numbers as though they were positive, then add a negative sign to the result. So, in this case, you would add 115 and 35 to get 150, then add a negative sign to your answer, resulting in -150.

This can be written as a fraction in simplest form as -150/1. It's also important to note that any number over 1 is simply the number itself, so -150/1 is essentially just -150.

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To solve the expression −115 + (−35), combine the numbers to get −150. The answer in simplest fractional form is −150/1.

Solving the Expression: −115+(−35)

To solve the expression −115 + (−35), follow these steps:

Understand that adding a negative number is the same as subtracting that number: −115 + (−35) = −115 − 35.Combine the numbers: −115 − 35 = −150.Write the answer as a fraction in simplest form. Since −150 is an integer, it can be represented as −150/1.

The final answer is −150/1.

Round 646,592 to the nearest ten thousand

Answers

the answer is 650,000

Please help! Quick!

Problem:

Solve:
5z+7=32

Please SHOW ALL YOUR WORK! (P.S. please show your work clearly, because I will need it for other problems! Thanks!)

Answers

5z+7=32
5z+7-7=32-7
5z/5=25/5
z=5

5z + 7 = 32

1) You have to try to get z by itself, so that means isolating 7 and 5.

5z + 7 = 32
5z - 7 - 7
----------------
5z = 25

2) Whatever you do to one side, you do to the other. So you subtracted 7 to 7 to isolate 7, and you would subtract 7 to 32 as well. And that will leave you with 5z = 25.

3) Whenever there are a number and a variable next to it, it symbolizes multiplication. (5 x z = 5z) So in order to isolate 5z without taking away your variable, you would have to divide 5 from 5, and also 25.

5z = 25
__ ___
5 5
____________
z = 5

____________________________________________________________
So, the steps are to write the equation out.
Combine any like terms, if there is any. (Ex. 5x + 3 + 52x + 39 {you can combine 5x and 52x because they are like terms, meaning they are alike. Other words are simplifying. (57x) :)}[and you can combine 3 and 39 since they are alike too. (42)])
Then, you add/subtract ON BOTH SIDES!
And after that, you finish it off by multiplying/dividing ON BOTH SIDES.

And how you know if you subtract or add is that if it is positive or negative.
Ex. +5 ( you would subtract in order to get it to zero. So -5)
Ex. -5 ( you would add in order to get is to zero. so +5)

And how you know it's multiplication or division.
Ex. 5x (5 * x = 5x, so you would divide by 5 to get zero, and divide 5 ON BOTH SIDES)
Ex. \frac{x}{5} [/tex] ( you would have to multiply 5 from top and bottom and ON BOTH SIDES)

I hoped this help with the question, and any other questions your confused about :)

Order from least to greatest: 6.24, 6.08, 6.009, 0.6

Answers

0.6, 6.009, 6.08, 6.24

solve a
a-20=b
a=

plzz help

Answers

In order to have the variable by itself you have to add 20 to both sides. So your answer would be a=b+20. I hope this helps love! :)

londynnorth londynnorth Middle School Mathematics 5+3 pts NEED HELP ASAP BRAINLEIST Solve and graph the absolute value inequality: |4x + 1| ≤ 5.
number line with closed dots on negative 1.5 and 1 with shading going in the opposite directions.

number line with open dots on negative 1.5 and 1 with shading in between.

number line with closed dots on negative 1 and 1 with shading in between.

number line with closed dots on negative 1.5 and 1 with shading in between.

Answers

number line with closed dots on negative 1.5 and 1 with shading in between.

number with closed dots on -1.5 and 1 with shading in between

352 divided by 4 please answer I'm literally bad at division

Answers

88............................

88 is the answer 352 divided by 4

You and your friend rent a canoe. The canoe costs 10 dollars per half hour plus 5 dollars per day for each life vest. Life vests are required for each passenger. Canoes can only be rented after 8 a.m and must be returned by 6 p.m. What is the greatest range value for this situation

Answers

the greatest range....the range is ur y value, it will be the total cost...the x is gonna be the number of 1/2 hrs. And the 5 per life vest has to be multiplied by 2 because there is 2 people, making it 10
y = 10x + 10

the greatest range will be when u rent the canoe for the longest.
8 a.m to 6 p.m......thats 10 hrs....20 half hrs...so the greatest range is when u rent the canoe for 20 half hrs.

y = 10(20) + 10
y = 200 + 10
y = 210 <=== the greatest range

What 2 partial products would you add to find 513x46?

Answers

The two partial products you would add are 252+378

Write an integer for each situation identify its opposite and describes its meaning
Question: 5 strokes above par

Answers

5
Opposite -5
Above means positive
Par=0
Integer would be positive

Final answer:

The integer representation of '5 strokes above par' is '+5', while its opposite is '-5', representing '5 strokes under par'. The positive and negative signs indicate whether you are above or below the par in golf.

Explanation:

In the context of golf, '5 strokes above par' means that it took five more strokes than the par to complete a hole or course. We can express '5 strokes above par' as the integer +5. In this context, the positive sign in front of 5 indicates you are above par, which means it took you more swings to finish.

Conversely, the opposite of +5 is -5. This would mean '5 strokes under par,' suggesting that it took five fewer strokes than the par to finish the hole or course. Note that in golf, being under par is generally better as it means you needed fewer swings to complete the course.

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What is a line segment???

Answers

It's a part of a line that is bounded by two distinct points. Contains every point on the line between the endpoints

The most basic figure in geometry is called a point. For example, point A which can also represent as .A. If we have a point, we usually we usually label it with a capital letter. If we have two points such as points X and Y, we can introduce our next figure in geometry which is called a line segment. For example, segment XY. A line segment is defined as a figure that is composed of two points which are called the endpoints and all the points in between. Segment XY can be represented as XY with a segment drawn over it.

Hailey has bottles that hold 678 pennies
each. About how many pennies does she
have if she has 6 bottles filled with pennies?

Answers

so, six bottles by 678 pennies:

6*678=6*(600+70+8)=3600+420+48=4020+48=4068

so she has 4068 pennies

one bottle = 678 pennies

6 bottles = x pennies

678 x 6 = amount of pennies in 6 bottles

4068 pennies is your answer

hope this helps

1-3 write in simplest form.Does the first factor increase or decrease explain please

Answers

the top # * and the bottom # *
so for the first one, 1*2 =2
3*5 =15
so we get 2/15

The product of six minus a number and five equals sixty when divided by 2. Which equation represents the sentence? A) 6(x - 5) 2 = 60 Eliminate B) 5(x - 6) 2 = 60 C) 6(5 - x) 2 = 60 D) 5(6 - x) 2 = 60

Answers

i think D because it looks like an answer that matches the question :)

D is the correct answer

Susan claims: If a family has already got four boys, then the next baby is more likely to be a girl than a boy. Is she correct? Explain your answer fully.

Answers

no its 50/50 because the male sperm cell decideds

No. The probability of having a girl or a boy will always be 1/2 for either outcome, regardless of how many boys or girls they've had before

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