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.
[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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13) Find the value for x and y.
Someone help me please thanks
Answer:
x=14 y=37
Step-by-step explanation:
t multiplied by −4 is at least −25
Answer:
Step-by-step explanation:
−4 is at least −25
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
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
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
each student get?
Answer:
4
Step-by-step explanation:
because 32 divided by 8 = 4
Is 6.755 a rational number
Answer:
no.....
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
it is not an ongoing repeated number
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$?
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
Answer:
x
4
+9y
2
u
200
b−3x
2
y
2
Step-by-step explanation:
Solve the following inequality for g. Write your answer in simplest form.
-5-3(5g-4)≥2g+6-10
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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Which of the following best describes the function shown below?
a.Linear
b.Quadratic
c.Exponential Growth
d.Exponential Decay
Answer: I need to see the picture of the work first to tell u
Step-by-step explanation:
THIS IS VERY URGENT AND I WILL GIVE BRAINLIEST
Can you please help with the four and eight
Balon
300
100
3
1
7
10
M
4 (2pts) Above a line is drawn. There are
2 points A and B. Point A (3.98) Point
B (9, 179). Find the slope using the
formula.
8 2pts) What is the y-intercept of your
line, and what is its real-world
meaning?
is my answer correct??
Answer:
no
Step-by-step explanation:
Answer:
you are correct!!
Step-by-step explanation:
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.
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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What is the coefficient of the second term in this expression?
mn3+n+1+5k2
Answer:
0
Step-by-step explanation:
Answer:
Step-by-step explanation:
rip
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.
Answer:
D
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!!
1. 1.01 x 1.1 *
2.11
11.111
1.1
1.011
Answer: 1.1
1.01 x 1.1 = 1.111
I hope this is good enough:
rt - 2n = y solve for t
Answer:
[tex]t=\frac{y+2n}{r}[/tex]
General Formulas and Concepts:
Pre-Alg
Equality PropertiesStep-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)/rQuestion 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
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.
-7x+21y=63 what are the x and y intercepts
Answer:
x intercept: (-9,0)
Y intercept: (0,3)
Which organization created a shared economy?
European Union
World Trade Organization
North American Free Trade Agreements
Association of Southeast Asian Nations
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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what is y= (5x+7) (-2x+3) in standard form
Answer:
y = 10x^2 + x +21
Step-by-step explanation:
how to find the slope
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
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).
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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Does any one know the answer?
Answer:
D is the answer (31.05)
Step-by-step explanation:
2.07×15 is 31.05
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
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.
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.
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.
help me please
Answer:
0.07 kgStep-by-step explanation:
Assuming copper sulfate has same density as waterChemical to water ratio as per given is:
250 kg : 1000 liter = 1 kg : 4 literLab 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 mlAnswer is 0.07 kg
If 3x−y=12, what is the value of 8^x/2^y?
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:
Solve the inequality.
5(w - 3) < 5w + 20
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