an office administrator will be purchasing supplies for an upcoming meeting. She will purchase folders, which are $2.15 each, and notebooks, which are $4.60 each. The supply budget for this meeting is $150. Which inequality represents the constraint on the number of folders f and notebooks n the office administrator can purchase?

Answers

Answer 1

Given :

Price per folder = $2.15 .

Price per notebook = $4.60 .

The supply budget for this meeting is $150.

To Find :

Inequality represents the constraint on the number of folders f and notebooks n the office administrator can purchase.

Solution :

Let, number of folders and notebooks is f and n.

So, price of buying f and n number of folders and notebooks are :

P = 2.15f + 4.60n

Now, it is given that P ≤ $150 .

So,

2.15f + 4.60n ≤ 150

Hence, this is the required solution.

Answer 2

[tex]2.15f+2.5n\leq 150[/tex] inequality will represent the constraint on the number of folders f and notebooks n the office administrator can purchase.

Given information:

An office administrator will be purchasing supplies for an upcoming meeting.

Staff will purchase folders, which are $2.15 each, and notebooks, which are $4.60 each.

The supply budget for this meeting is $150.

Let f be the number of folders purchased and n  be the number of notebooks purchased.

Now, the total amount spent on the whole purchase should not be greater than $150 which is the budget of the shopping.

In the form of inequality, the given condition can be written as,

[tex]2.15f+4.6n\leq 150[/tex]

The total amount spent is less than equal to 150.

Therefore, [tex]2.15f+4.6n\leq 150[/tex] inequality will represent the constraint on the number of folders f and notebooks n the office administrator can purchase.

For a graphical representation of the inequality, see the image attached.

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An Office Administrator Will Be Purchasing Supplies For An Upcoming Meeting. She Will Purchase Folders,

Related Questions

There are 28 red pens and 84 black pens in a bag.
Write down the ratio of the number of red pens to the number of black pens.
Give your ratio in its simplest form.

Answers

Answer:

1/3

Step-by-step explanation:

The ratio can be written as a fraction. This would be 28/84. You simplify ratios just like how you simplify a fraction. 28x3 is actually 84, so the answer in simplest form is 1/3.

Hope this helps and have a great day!! []~(^▽^)~*

The ratio of the number of red pens to the number of black pens in simplest form is, 1 : 3.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

There are 28 red pens and 84 black pens in a bag.

Here, Number of red pens = 28

And, Number of black pens = 84

Hence, The ratio of the number of red pens to the number of black pens is,

⇒ Number of red pens : Number of black pens

⇒ 28 : 84

⇒ 28/84

⇒ 14 / 42

⇒ 1 / 3

⇒ 1 : 3

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Which of the equations below can be solved by square roots? How would you solve the other equation? Explain your reasoning. Give the solutions to both equations. Equation A: x? - 9x = 0 Equation B : x2-9=0​

Answers

Answer:

Equation A is factoring, x=9 and x=0

Equation B is the square root, x=3

The equation A:  x² - 9 = 0 can be solved by square root method

The equation B: x²  -  9x = 0 can only be solved by factoring

The given equations are:

Equation A:    x²  -  9x = 0

Equation B:    x²  -  9 = 0

The equation x² - 9 can be rewritten as:

x²  -  3² = 0

This is a difference of two squares which can be further expressed as:

(x  -  3)(x + 3) = 0

x  - 3  =  0

x  =  3

x  +  3  = 0

x  =  -3

This shows that the equation x² - 9 = 0 has two roots x = -3 and x = 3

Also, from x² - 9 = 0

[tex]x = \pm\sqrt{9} \\\\x = \pm3[/tex]

For the equation x²  -  9x = 0

This can be factored as x(x - 9) = 0

x  = 0,  x = 9

This is not solved by the square root method.

Therefore, the equation x² - 9 = 0 can be solved by square root method

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Solve the inequality.
5(w - 3) < 5w + 20

Answers

Answer:

-15 < 20

Step-by-step explanation:

5(w - 3) < 5w + 20

Distribute;

5w - 15 < 5w + 20

Subtract 5w from both sides;

-15 < 20

Answer:

w<5

Step-by-step explanation:

(5*w-3*5)<5w+20

5w-15<5w+20

5w-5w<20-15

w<5

what is 411, 600, 000 in scientific notation

Answers

Answer:

4.116 × 108

Step-by-step explanation:

I simply used a Scientific Notation Converter

Answer:

The answer would be 4.116 x 10 exponent of 8

Step-by-step explanation:

In scientific notation, the answer has to be between 1-10, so to make this number between one and ten, you must create a decimal behind the number in the one's place and move it until you get to the first number (in this case, you would move it eight times, so your equation would be 4.116 x 10 to the eight power (exponent of eight). If you need to round the number to the tenth place, it's 4.1 x 10^8

Hope this helps!

e) x⁴ - 3x²y² + 9y²​

Answers

Answer:

x

4

+9y

2

u

200

b−3x

2

y

2

Step-by-step explanation:

how to find the slope

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Answer:

m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

use this formula if you're having two points or a graph

Thirty-two jelly beans are shared by 8 students. How many jelly beans will
each student get?

Answers

Answer:

4

Step-by-step explanation:

because 32 divided by 8 = 4

1. 1.01 x 1.1 *
2.11
11.111
1.1
1.011

Answers

Answer: 1.1

1.01 x 1.1 = 1.111

I hope this is good enough:

Question 1 of 10
Which of Saturn's moons has an atmosphere that is most like Earth's?
O A. Pandora
B. Atlas
Ο Ο
C. Titan
O
D. Europa
SUBMIT

Answers

I’m pretty sure it’s C. Titan

Answer:

The answer is Titan

Step-by-step explanation: the atmosphere of Titan is similar to earth's atmosphere because Titan's atmosphere is mostly made up of nitrogen and so is Earth's atmosphere.

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What is the coefficient of the second term in this expression?
mn3+n+1+5k2

Answers

Answer:

0

Step-by-step explanation:

Answer:

Step-by-step explanation:

rip

is my answer correct??

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Answer:

no

Step-by-step explanation:

Answer:

you are correct!!

Step-by-step explanation:

t multiplied by −4 is at least −25

Answers

Answer:

Step-by-step explanation:

−4 is at least −25

A chemical company makes up batches of copper sulfate solution by adding 250 kg of copper sulfate powder to 1000 liters of water. A laboratory chemist wants to make a solution of identical concentration, but only needs 350 mL (0.35 liters) of solution.

How much copper sulfate powder should the chemist add to the water? Enter your answer in the box below in decimal format.

The mass of copper sulfate that the chemist should add is______
kg.
help me please

Answers

Answer:

0.07 kg

Step-by-step explanation:

Assuming copper sulfate has same density as water

Chemical to water ratio as per given is:

250 kg : 1000 liter = 1 kg : 4 liter

Lab solution is 350 ml

Converting to same ratio as above:

350/(1 + 4) = 70 ml

70 ml : 280 ml = 70 g : 180 ml = 0.07 kg : 180 ml

Answer is 0.07 kg

Does any one know the answer?

Answers

Answer:

D is the answer (31.05)

Step-by-step explanation:

2.07×15 is 31.05

rt - 2n = y solve for t

Answers

Answer:

[tex]t=\frac{y+2n}{r}[/tex]

General Formulas and Concepts:

Pre-Alg

Equality Properties

Step-by-step explanation:

Step 1: Define equation

rt - 2n = y

Step 2: Solve for t

Add 2n to both sides:                    rt = y + 2nDivide both sides by r:                   t = (y + 2n)/r

i want to purchase a necklace for 325$ . ive already saved 115.00 and can set aside 22.00$ a week . which inequality can be used to find the number of weeks it will take to save at least 325.00$?

Answers

Answer:

22w + 115 = 325           w = about 10 weeks

Step-by-step explanation:

The first part of this inequaltiy is 22w. Since he/she will set aside $22 a week, you would put a variable because the number of weeks you will need to set aside $22 is unknown therefore you put a variable that makes sense. I put w because you can say that w=weeks. The next part of the inequality is adding $115 because he/she has already saved $115 so we add that to 22w. Finally 22w+115 has to equal $325 because that is how much the necklace costs. Hope this helps!

If 3x−y=12, what is the value of 8^x/2^y?

Answers

Answer:

3x + 3x + 3x = 3x . but as 1 x + 1x equals 7/8, but 7 x 4 - 3 x 6 = 100002.0389487384, where as dim + dim = ddiimm

Step-by-step explanation:

Is 6.755 a rational number

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Answer:

no.....

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

it is not an ongoing repeated number

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Answers

Answer:

y = 10x^2 + x +21

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!!

Answers

94°

KHI and KHE are supplementary angles, meaning they add up to equal 180. 180 - 86 = 94

If f(1)=7f(1)=7 and f(n)=f(n-1)+2f(n)=f(n−1)+2 then find the value of f(4)f(4).

Answers

Answer:

Step-by-step explanation: f1 =7

f2 = 5(7) + 2 = 37

f3 = 5(37) + 2 = 27

f4 = 5(9) + 2 = 47____

The value of f(4)f(4) f(1) = 7f(1) = 7 and f(n) = f(n-1) + 2f(n) = f(n−1) + 2 is,

121.

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, f(1) = 7f(1) = 7 and f(n) = f(n-1) + 2f(n) = f(n−1) + 2.

By this pattern,

f(4)f(4) = [f(4 - 1) + 2f(4)][f(4 - 1) + 2f(4)].

f(4)f(4) =  [f(3) + 2f(4)][f(3) + 2f(4)].

f(4)f(4) =  [f(3) + 2(4)][f(3) + 2(4)].

f(4)f(4) =  [3 + 8][3 + 8].

f(4)f(4) =  [11][11].

f(4)f(4) =  121.

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13) Find the value for x and y.
Someone help me please thanks

Answers

Answer:

x=14 y=37

Step-by-step explanation:

-7x+21y=63 what are the x and y intercepts

Answers

Answer:

x intercept: (-9,0)

Y intercept: (0,3)

Which of the following best describes the function shown below?
a.Linear
b.Quadratic
c.Exponential Growth
d.Exponential Decay

Answers

Answer: I need to see the picture of the work first to tell u

Step-by-step explanation:

Quadratic because I feels what I feels

Games with this rating contain content which the ESRB believes is generally suitable for those aged 17 years and older.
Question 4 options:

A T Teen

B eC Early Childhood

C M Mature

D E Everyone

Answers

Answer:

C. Mature 17+

Step-by-step explanation:

These games are usually not recommended at all for anyone below the age of 17 because these pieces of content include:

Violence

Smoking

References To Smoking

Blood

Language

Sexual Content

These are just a few of the topics these types of games may include.

THIS IS VERY URGENT AND I WILL GIVE BRAINLIEST
Can you please help with the four and eight


Balon
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100
3
1
7
10
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4 (2pts) Above a line is drawn. There are
2 points A and B. Point A (3.98) Point
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formula.
8 2pts) What is the y-intercept of your
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oído i just needed answers

Which organization created a shared economy?

European Union
World Trade Organization
North American Free Trade Agreements
Association of Southeast Asian Nations

Answers

Answer:

a

Step-by-step explanation:

got 100% on my final exam your welcome if wrong then you must have a different layout than me but its aka european union thats my a

The European Union is the organization which created a shared economy and is denoted as option A.

What is European Union?

This is referred to as a political and economic union of 27 member states which have their location in Europe.

It helps to foster bond through the use of a shared economy thereby making it the most appropriate choice.

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Marvin rides his bike at an average speed of 13 miles per hour. How far can he bike in 8 hours?
Marvin can bike miles in 8 hours.

Answers

Marvin can bike 104 miles in 8 hours

Answer:

104

Step-by-step explanation:

13x8=104

Solve the following inequality for g. Write your answer in simplest form.
-5-3(5g-4)≥2g+6-10

Answers

Answer:

[tex]g\leq \frac{11}{17}[/tex]

Step-by-step explanation:

[tex]-5-3(5g-4)\geq 2g+6-10\\-5+(-15g+12)\geq 2g-4\\-5+(-15g)+12\geq 2g-4\\7-15g\geq 2g-4\\7\geq 17g-4\\3\geq 17g\\\frac{11}{17} \geq g\\g\leq \frac{11}{17}[/tex]

The value of g in the given inequality -5-3(5g-4) ≥ 2g+6-10 is equal to or less than 11/17, g ≤ 11 / 17

What is an inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is an inequality -5-3(5g-4) ≥ 2g+6-10

Solving for g,

-5-3(5g-4) ≥ 2g+6-10

-5-15g+12 ≥ 2g+6-10

-15g+7 ≥ 2g-4

7 ≥  17g -4

11  ≥ 17g

11 / 17  ≥ g

g ≤ 11 / 17

Hence, the value of g is equal to or less than 11/17, g ≤ 11 / 17

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3. Give the domain and range of the relation. Tell whether the relation is a function, 1 1 3 1 6 8. D: {0,1}: R: 1-5, -1,3,6} The relation is a function. b. D: {0,1); R: -5, -1,3,6) The relation is not a function. D: -5,-1,3,6); R: (0,1} The relation is not a function. d. D:{-5, -1,3,6); R: (0,1} The relation is a function.​

Answers

Answer:

D

Step-by-step explanation:

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