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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https://brainly.com/question/18568636

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

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x=14 y=37

Step-by-step explanation:

t multiplied by −4 is at least −25

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Answer:

Step-by-step explanation:

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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​

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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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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!

Thirty-two jelly beans are shared by 8 students. How many jelly beans will
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Answer:

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Step-by-step explanation:

because 32 divided by 8 = 4

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Answer:

no.....

Step-by-step explanation:

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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!

e) x⁴ - 3x²y² + 9y²​

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Answer:

x

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u

200

b−3x

2

y

2

Step-by-step explanation:

Solve the following inequality for g. Write your answer in simplest form.
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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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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

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Step-by-step explanation:

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Step-by-step explanation:

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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.

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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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Answer:

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Step-by-step explanation:

Answer:

Step-by-step explanation:

rip

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D

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Answers

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I hope this is good enough:

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Answers

Answer:

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

General Formulas and Concepts:

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Equality Properties

Step-by-step explanation:

Step 1: Define equation

rt - 2n = y

Step 2: Solve for t

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I’m pretty sure it’s C. Titan

Answer:

The answer is Titan

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Answers

Answer:

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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

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation: f1 =7

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121.

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Does any one know the answer?

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Answer:

D is the answer (31.05)

Step-by-step explanation:

2.07×15 is 31.05

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Question 4 options:

A T Teen

B eC Early Childhood

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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

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References To Smoking

Blood

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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?
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Answers

Marvin can bike 104 miles in 8 hours

Answer:

104

Step-by-step explanation:

13x8=104

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.
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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

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Converting to same ratio as above:

350/(1 + 4) = 70 ml

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Answer:

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Step-by-step explanation:

Solve the inequality.
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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

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w<5

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