Step 1. Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.
Step 2. Write the inequality and show all work to solve the inequality.
Step 3. Graph the solution to your inequality on a number line.
Step 4. Explain what your solution means in the context of the problem.

Answers

Answer 1

1 -A company has 10 acres of land for their company headquarters. They want to increase their headquarters to at least 56 acres of land. How many acres can the company purchase.

2- 10 acres + X ≥ 56 acres

-10 -10

----------------------------
0 46

X = 46

3- ß---|--------------------------------------------------------------à

4- 46 is the amount of acres the company needs to buy in order to get at least 56 acres added

Related Questions

what the answer ?????

Answers

a^2 + b^2 = c^2

3^2 +b^2 = 5^2

9 + b^2 = 25

b^2 = 16

b = sqrt(16)

b=4

math question down below

Answers

The first is equal, but the second is not. Hope this helps!

Find the slope help me plz

Answers

The slope is 1/2 because it’s positive

The answer is slope = 2/5

At the local grocery store, lemons are 52 cents each each and lines are 21 cents each . How many lemons and limes can you but for exactly $3.75.

Answers

6 lemons and 3 limes
Because 6 x $0.52 = $3.12
and
3 x $0.21 = $0.63
So when you add them up you get exactly $3.15

Hope I helped

Please make me brainliest

can someone please tell me what that little 3 means?

Answers

That just mean cube roots.

The 3 is part of the radical. It is asking what number is being multiplied by itself three times to get 64.
For example:

[tex] \sqrt[3]{27} [/tex]

What number is being multiplied by itself three times to get 27 (?)(?)(?)
(2)(2)(2)=8
(3)(3)(3)=27
The answer will be 27 for the example

For your question, 4 is being multiplied (4)(4)(4)=64

factor -1/3 out of 1/3y-3/2

please help

Answers

Greetings!

When factoring, you are essentially dividing the GCF by all the terms.
So to factor out -1/3 from the binomial, we divided it all of the terms by -1/3:

First Term:
[tex]\frac{1}{3}y/-\frac{1}{3}[/tex]
[tex]=\frac{1}{3}y*-\frac{3}{1}[/tex]
[tex]=-3/3y[/tex]
[tex]=-1y[/tex]

Second Term:
[tex]=-\frac{3}{2} / - \frac{1}{3} [/tex]
[tex]=-\frac{3}{2} * - \frac{3}{1} [/tex]
[tex]=\frac{9}{2}[/tex]

The factored polynomial result would be:
[tex](-\frac{1}{3})(-1y+\frac{9}{2})[/tex]

Hope this helps.
-Benjamin

Final answer:

To factor out -1/3 from 1/3y - 3/2, distribute the negative sign to both terms resulting in -1/9y + 1/2.

Explanation:

To factor out -1/3 from the expression 1/3y - 3/2, we can distribute the negative sign to both terms. This results in -1/3(1/3y) + (-1/3)(-3/2). Simplifying this further, we get -1/9y + 1/2.

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10 points
What is an irrational number between 7.7 and 7.9?

and no, 7.8 is not irrational.

Answers

Alright, so what you do is take an irrational number, like π, and get it between 7.7 and 7.9. How? For example, if you wanted to get π between 10 and 10.1, we know that π is 3.14 something. If we added 6.9 to it,we'd have 10.04 something. Since the numbers after that 1, 0, and 0 are not changed, this is still irrational as you can still not represent π with integers. For example, if we had π/1, we can add 5/1 to it and we'd have (π+5)/1, which can be separated into π/1+5/1 - a irrational number added to a rational number is not rational (The proof for this can be learned in calculus). Good luck, and feel free to ask with further questions!

The frequency of the sound wave determines its

frequency

pitch

wavelength

speed

Answers

Thus, frequency is determined by speed / wavelength. The longer the wavelength, the lower the pitch. The 'height' of the wave is its amplitude. The amplitude determines how loud a sound will be.

The frequency of the sound wave determines its pitch the longer the wavelength the lower the pitch is

r(x)=2√x s(x)=√x (rs)(4) = and (r/s)(3)=
plz help i am on a quiz right now if i get it right i will mark the one who helped me the brainlyest answer

Answers

(rs)(4)=(2rootX)(rootX)
(rs)(4)=2x
(rs)(4)=8

(r/s)(3)=(2rootX)/(rootX)
(r/s)(3)=2

Final answer:

To evaluate (rs)(4) and (r/s)(3) for the given functions, substitute the value of x into the functions and calculate the product and quotient, respectively.

Explanation:

To find (rs)(4), we need to substitute the value of x into the functions r(x) and s(x) and then find their product. r(x) = 2√x, so r(4) = 2√4 = 2√2 = 2(2) = 4. s(x) = √x, so s(4) = √4 = 2. Therefore, (rs)(4) = 4(2) = 8.

To find (r/s)(3), we need to substitute the value of x into the functions r(x) and s(x) and then find their quotient. r(3) = 2√3 and s(3) = √3. Therefore, (r/s)(3) = (2√3) / √3 = 2.

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Ahmad drove 638 miles in 11 hours. At the same rate, how long would it take him to drive 522 miles?

Answers

696 miles 522 miles---------------- = --------------- 12 hours x hours Cross multiply: 696x = 522*12 x = 522*12/696 Solve for x

Which of the following is equivalent to 3^4?

A) 7
B) 12
C) 64
D) 81

Answers

3^4 = 3 x 3 x 3 x 3

3 x 3 = 9
3 x 3 = 9
9 x 9 = 81

81 is your answer

hope this helps

3^4 = 3x3x3x3 = 81

Answer is D) 81

Find a polynomial function with real coefficients that has the given zeros. (There are many correct answers.) −5, −5, 1 + 2 i

Answers

The given zeros are -5, -5, 1 + 2i.
Because complex zeros occur in conjugate pairs, the zeros are
-5, -5, 1 + 2i, 1 - 2i.

The polynomial is
f(x) = (x+5)²[x- (1+2i)][x -(1-2i)]

Note that
[x - (1+2i)][x - (1-2i)]
= x² - x(1 - 2i) - x(1+2i) + (1 - 4i²)
= x² - 2x +5

Therefore
f(x) = (x+5)²(x²-2x+5)

Answer: f(x) = (x+5)²(x²-2x+5)

Solve the equation on the interval 0 ≤ θ < 2π.

1 - sin θ = 1/2

Answers

Final answer:

To solve the equation 1 - sin θ = 1/2 on the interval 0 ≤ θ < 2π, isolate the sine function and find the values of θ that satisfy the equation by taking the inverse sine of both sides. The solutions are θ = -π/6 and θ = 5π/6.

Explanation:

To solve the equation 1 - sin θ = 1/2 on the interval 0 ≤ θ < 2π, we can start by isolating the sine function. Subtracting 1/2 from both sides of the equation, we get -sin θ = -1/2. Next, we can find the values of θ that satisfy this equation on the given interval by taking the inverse sine (sin⁻¹) of both sides. This gives us θ = sin⁻¹(-1/2).

Using the unit circle or a calculator, we can find the values of θ that satisfy this equation. Let's first find the value of θ in the first quadrant. Here, sin θ = -1/2, so θ = sin⁻¹(-1/2) = -π/6.

Since we are looking for solutions on the interval 0 ≤ θ < 2π, we need to find the other solution that lies in the second quadrant. In the second quadrant, sin θ is also negative, but the angle is measured from the positive x-axis in the clockwise direction. Therefore, θ = -π + π/6 = 5π/6 is the other solution.

Final answer:

To solve the equation 1 - sin θ = 1/2 on the interval 0 ≤ θ < 2π, you can isolate the sine function and apply the inverse sine function to find the solutions.

Explanation:

To solve the equation 1 - sin θ = 1/2 on the interval 0 ≤ θ < 2π, we can start by isolating the sine function. Subtracting 1/2 from both sides of the equation, we get -sin θ = -1/2.

Next, we can apply the inverse sine function to both sides. This will give us two possible values for θ within the given interval: θ = π/6 and θ = 5π/6.

Therefore, the solutions to the equation 1 - sin θ = 1/2 on the interval 0 ≤ θ < 2π are θ = π/6 and θ = 5π/6.

math 8th grade anybody help me

Answers

Hello.

From our initial value, the price is $21 for 1 hour. After this, each hour is $14 more. From this information, we can solve for how much parking would cost at 24 hours, or one day.

5, 77; 6, 91; 7, 105; 8, 119; 9, 133; 10, 147; 11, 161; 12, 175; 13, 189; 14, 203; 15, 217; 16, 231; 17, 245; 18, 259; 19, 273; 20, 287; 21, 301; 22, 315; 23, 329; 24, 343.

After 24 hours, the total price will be $343.

I hope this helps!

Which statement is not true about similar triangles? Corresponding angles are equal. Each triangle has 3 sides. The lengths of corresponding sides are proportional Corresponding sides are congruent.

Answers

The lengths of corresponding side are propotional

Corresponding sides are congruent is not the correct answer here.

What is a similar and congruent triangle ?

Similar triangles has same corresponding angles and the corresponding sides are in proportion and for the congruent triangles the corresponding angles and the corresponding sides are same.

Two triangles is similar if their corresponding angles are congruent and their corresponding sides are in equal proportion.

We can can think of a triangle having x°, y°, z° as it's interior angle and for the other triangle to be similar it must also have x°, y°, z° as it's interior angle and the first triangle has length of the 3 sides equal to some values the other triangle to be similar it's side must have values in the same multiples of the previous values of the first triangle.

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Can somebody please approximate
2√37+2 to the nearest whole number? Thanks. :-) <3

Also please tell how to do it/what the formula is.

Answers

Hey there!

2√37+2 to the nearest whole number is 26
Multiply the numbers 2*7= 14

14√3+2

Calculate the slope of the line given the points (-2, 6) and (0, 4).

Question 1 options:

a) -1
b) 1
c) 0
d) none of the above

Answers

The answer is definitely A. Hope this helps!

Hi there love!

The correct answer will be A because -1 mostly fits this question, right?

Thank me or brainliest if it helps love!!

If 6>10, then 8 x 3=24 true or false

Answers

The answer is False.

Two weeks ago Audrey earned 84$ for 7 hours of work this week she earned 132$ for 11 hours of work find the numerical value of the slope of the line that represents Audrey's earnings.

Answers

the slope of the line is 12

how to find exterior angle (8th grade math i really need help with this i wasn't paying attention when we learned about this and it is on my hw)

Answers

Find the interior angle, and subtract it from 180 to find the exterior angle

hope this helps

At a science competition, 25 problems were given. Each correct answer earned 4 points, and 2 points were deducted for each incorrect answer. No points were deducted for any unanswered problem. Logan answered all but one of the problems, receiving a score of 66. How many correct answers did Logan have?

Answers

4*25= 100 (total points)
x + y = 24 4x-2y = 66
since he only answered 24 questions
therefore max he can get is 96
x + y = 24
4x-2y = 66 from first equation,
y = 24-x plug that in second equation :
4x - 2(24-x) = 66
4x - 48 + 2x = 66
6x = 114
x = 19

Answer:

Correct answers of Logan is 19.

Step-by-step explanation:

Since, Logan didn't answered one problem.

Thus, total problem he attempt is 24.

Let the number of correct answer = x

and, Number of wrong answer = y

Then x + y = 24

And since it is given that,

He earned 4 points for correct answer and deduct 2 points for wrong answer. and he got score 66.

Thus we get equation,

4x - 2y = 66

Solving these two equation we get,

x = 19 and y = 6

Thus, Correct answers of Logan is 19.

the pressure exerted on the floor by the heel of someone's shoe is inversely proportional to the square of the width of the heel of their shoe. When Megumi wears 2cm wide heels, she exerts a pressure of 400 kPa. Determine a function to represent the pressure, p, exerted by Megumi if she wears heels of width, w.

Answers

P = k/w^2

first of all you need to find k
But I kind of don't like the units of each value so let say
400KPa = 4 * 10^5 Pa = 4 * 10^5 N/m^2
2 cm = 2 * 10^-2 m

input values in the equation

4*10^5 = k/(4*10^-4) >>> k = 160 N

P = 160/w^2
it said if she wears a heel with a width of .5 cm

P = 160(0.5 * 10^-2)^2 >>> P = 6400 KPa

Which of the following correctly shows the distributive property?
A. 4(x + 5) = x + (4)(5)
B. 4(x + 5) = (4)(x) + 5
C. 4(x + 5) = 5(x + 4)
D. 4(x + 5) = (4)(x) + (4)(5)

Answers

Answer:

D. 4(x + 5) = (4)(x) + (4)(5)

Step-by-step explanation:

The distributive property: a(b + c) = ab + ac

what is the distance between -2.5 and 1.8

Answers

The distance is 4.3.

Please help. Explain using complete sentences

Answers

it would be an over-estimate if u rounded ur numbers up and an under-estimate if u rounded ur numbers down

Over estimated means the number that turns out to be incorrect. If it exceeded the actual result it is underestimated

How do I use 2.81 + 3.72 in benchmark to estimate this problem showing all work

Answers

2.81
+3.72
______
6.53

BENCHMARKED=6.5

-8(5v-x-5)

use the distributive property to remove the parentheses

pls help!

Answers

-8(5v - x - 5) =
-40v + 8x + 40 <==

** u r basically multiplying that -8 by every term in the parenthesis...
(-8 * 5v) + (-8 * -x) + (-8 * -5) =
-40v + 8x + 40

Hi there!

The Distributive Property allows us to multiply the term outside of the parenthesis by all terms inside of the parenthesis.

Here’s an example;
2(1 + 3)
2(1) + 2(3)
2 + 6
8.

Hopefully this example and explanation has helped you understand the concept of using the Distributive Property.

Now, let’s apply this to our current expression.

-8(5v - x - 5)

Remember that when you multiply a negative by a positive, the product remains negative. When you multiply a negative by a negative, the product is positive.

-8(5v - x - 5)
-8(5v) = -40v
-8(-x) = 8x
-8(-5) = 40

Our product is:
-40v + 8x + 40

I hope this helps!

If rectangle ABCD is rotated counter clock wise 90º about the origin, what will be the coordinates of the vertex D'?

Please help me, its for a Program through a college and I need a lot of help.

Answers

So, the best way to do this is translate it to clockwise. 90 degrees counterclockwise is equal to 270 degrees clockwise. So, basically, to rotate, you would follow the following format for each point-
(X,Y) -> (-Y,X)
Now, you do it for each of the points.
A= (-5,5), so A' would be (-5,-5)
B= (-1,5), so B' would be (-5,-1)
C= (-5,4), so C' would be (-4,-5)
D= (-1,4) so D' would be (-4,-1)
Notice, how all the points end up in the square below it. Each quadrant has a specific number. The top right is quadrant 1, the top left is quadrant 2, the bottom left is quadrant 3, and the bottom right is quadrant 4. If you are rotating 270 degrees clockwise, you move to the right, like a clock. That puts the new rectangle in quadrant 3. That is a way to check your work.
Now, just so you know for future reference, the following are also different formats for different problems--
A 90 degree Clockwise rotation about the origin will be (X,Y) -> (Y, -X) *Note, -x just stands for the opposite. Say your original x is a negative number. Then the prime (new) x will be positive.
A 180 degree Clockwise rotation about the origin would be (X,Y) -> (-X,-Y) *Note, -y also stands for the opposite.
A 270 degree clockwise rotation about the origin would be (X,Y) -> (-Y,X).
For translating---
90 degrees Clockwise = 270 degrees Counter
270 degrees Clockwise = 90 degrees Counter

Hope this helped!

The cost C (in dollars) for the care and maintenance of a horse and carriage is C=15x+2000 where x is the number of rides.

Rides cost 35$

A: write an equation for the revenue R in terms of the number of rides

B: How many rides are needed to break even.

Need help with both parts

Answers

Answer: 100 rides are needed to break even.

Step-by-step explanation:

We have given the cost function

C(x)=15x+2000 where x is the number of rides.

And rides cost 35$

⇒ revenue function would be 35 times x

i.e.R(x)=35 x , where x is the number of rides.

Break even point of a firm occurs when at a certain point x the total cost equals to the total revenue.

i.e. at break even point

total revenue=total cost

⇒35x=15x+2000

⇒35-15x=2000[subtract 15x from both sides]

⇒20x=2000 [simplify]

⇒x=2000/20[dividing both sides with 20]

⇒x=100

∴ 100 rides are needed to break even.

The revenue function will be 35x and the breakeven point will be 100 rides.

From the information given, the revenue function will be calculated by multiplying the price by the quantity. This will be:

= 35 × x

= 35x

The breakeven point will be the point where total revenue equals the total cost. This will be:

35x = 15x + 2000

35x - 15x = 2000

20x = 2000

x = 2000/20

x = 100

Therefore, the revenue function will be 35x and the breakeven point will be 100 rides.

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Lynn wants to multiply 44 × 305 44×305. She says that all she has to do is find 4 × 305 4×305 and then double that number. Which explains whether or not Lynn's method will give her the correct answer?
A. Lynn's method will give her the correct answer. Multiplying by 4 and then doubling the product is the same as multiplying by 44.
B. Lynn's method will not give her the correct answer. Multiplying by 4 and then doubling the product is the same as multiplying by 6, not by 44.
C. Lynn's method will not give her the correct answer. Multiplying by 4 and then doubling the product is the same as multiplying by 8, not by 44.
D. Lynn's method will not give her the correct answer. Multiplying by 4 and then doubling the product is the same as multiplying by 16, not by 44.

Answers

Answer: It’s C

Step-by-step explanation:

Final answer:

Lynn's method of multiplying 4 by 305 and doubling the result will not give her the correct answer to 44 x 305. This method is equivalent to multiplying by 8, not 44.

Explanation:

Lynn's method will not give her the correct answer. When Lynn multiplies 4 by 305 and then doubles the product, she is effectively multiplying 305 by 8, not by 44. To show this, consider the mathematical operations: when we multiply 4 by 305 we get 1220, and when we then double 1220 we get 2440. This is different from the result of multiplying 44 by 305, which is 13420. Therefore, the correct answer is C. Lynn's method will not be correct. Therefore, multiplying by 4 and then doubling the product is the same as multiplying by 8, not 44.

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