Solve algebraically for x:
3600 + 1.02x < 2000 + 1.04x

Answers

Answer 1

Answer:

Let's solve your inequality step-by-step.

3600+1.02x<2000+1.04x

Step 1: Simplify both sides of the inequality.

1.02x+3600<1.04x+2000

Step 2: Subtract 1.04x from both sides.

1.02x+3600−1.04x<1.04x+2000−1.04x

−0.02x+3600<2000

Step 3: Subtract 3600 from both sides.

−0.02x+3600−3600<2000−3600

−0.02x<−1600

Step 4: Divide both sides by -0.02.

−0.02x

−0.02

<

−1600

−0.02

x>80000

Step-by-step explanation:


Related Questions

Write 6.25 in expanded notation.

Answers

Answer:

6.00+0.20+0.05

Step-by-step explanation:

Answer:

6.25 in expanded notation should be written as: (6 x 1) + (2/10) + (5/100).

Step-by-step explanation:

Hope I can really help:).

Help will give crown

Answers

G and H are 5 units apart.

G is at (-3, -4), and H is at (2, -4)

-3 and 2 are 5 units apart, -3+5=2. 2-5=-3

You work in a restaurant, and a family comes in for dinner. You and your co-worker wait on the
table and prepare their food. The family gives you a $11 tip. You want to split the tip evenly with
your co-worker. How much should you give your co-worker?

Answers

Answer:

:$5.50

Step-by-step explanation:

You will give your co-worker $5.5.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that you work in a restaurant, and a family comes in for dinner. You and your co-worker wait on the table and prepare their food. The family gives you a $11 tip.

For evenly splitting the tip, you will give your co - worker :

{x} = 11/2 = 5.5

{x} = $5.5

Therefore, you will give your co-worker $5.5.

To solve more questions on algebraic expressions, visit the link below -

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Solve there Systems of equations. 2x + y = 15
3x - y = 5

Answers

Answer:

your answer would be (4, 7)

Step-by-step explanation:

Yes the answer is four and seven

Find the distance between the points A(2,-1) and B(-4, 2). (simplify your answer)

Answers

Answer:

[tex]d = 3\sqrt{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra II

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point A (2, -1)

Point B (-4, 2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Substitute [DF]:                    [tex]d = \sqrt{(-4-2)^2+(2+1)^2}[/tex]Subtract/Add:                       [tex]d = \sqrt{(-6)^2+(3)^2}[/tex]Exponents:                           [tex]d = \sqrt{36+9}[/tex]Add:                                      [tex]d = \sqrt{45}[/tex]Simplify:                               [tex]d = 3\sqrt{5}[/tex]

Pls help! It has to be due by 5pm.

Answers

Answer:

11 and 3/4 in further.

Answer:

I think he has to jump 11 3/4 inches further

Step-by-step explanation:

pls mark me as brainliest!

HELP PLZ!! WILL MAKR BRAINLIEST

Answers

Answer:

See below

Step-by-step explanation:

The y-intercept is -5.5 as per graph

Taking two random points from the graph to find the slope:

(-1, -6) and (1, -5)

Use slope formula: m = (y2 - y1)/(x2 - x1)

m = (-5 - (-6))/(1 - (-1)) = 0.5

The line in slope-intercept form is (y = mx + b)

y = 0.5x - 5.5

or

y = 1/2x - 11/2

Answer:

i don’t think I understand.

Step-by-step explanation:

please help ill give brainliest!

Answers

Answer:

3,14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

One of the zookeepers solved to find Bernard's speed
when he is, healthy using the equation:
x - 41.5 = 13.5.
The other Zookeeper said that to solve for Bernard's
speed when he is healthy, they must use the equation:
41.5 + 13.5 = x.
Which zookeeper is correct? Explain.

Answers

The second zookeeper is correct you need two answers together to get x

Answer:

Well both zookeepers are correct but the second zookeepers answer was more accurate.

Step-by-step explanation:

The first zookeeper gave the equation :

[tex]x - 41.5 = 13.5[/tex]

So , In order to find Benards speed which is denoted as x , we would still have to collect like terms to isolate x.

The second zookeeper gave the equation :

[tex]41.5 + 13.5 = x[/tex]

In this equation the zookeeper had already isolated x so, only simple addition was needed to find Bernard's speed.

This equation is easier to solve.

!!!!!! ’ ... like Ik there is smart ppl around the world who knows these

Answers

Answer:

into a pyramid i think...

a man is twice as old as his son.Five years ago the ratio of their ages was 9:4.Find the sum of their ages​

Answers

Let's assume the sons age as x.

Age of the man is 2x

Five years ago,

The man's age=9x

The sons age=4x

Then find the equation.

hope it was helpful.

I am not solving all cuz that u understand how to frame a equation.

Simplify each expression.
2y+ (4 + 5y). 2d(3). Simplify those two please please answer i will give brainliest!

Answers

Answer:

7y + 4

Step-by-step explanation:

2y + 5y+4

add 2y and 5y

7y+ 4

Answer:

7y +4

Step-by-step explanation:

Open up the brackets ans collect your like terms and simplify the expression.

A town has a population of 3000 and grows at 4% every year. To the nearest tenth of a year, how long will it be until the population will reach 4700?​

Answers

Answer:

14.2 years

Step-by-step explanation:

The town grows 4% (0.04) every year.

3000 x 0.04 = 120, so the town gains 120 people every year.

The town needs 1700 more people to get to 4700.

So, 4700/120= 14.1666666667

That rounds up to 14.2 years.

Hope this helped :)

Write an inequality for the graph below.

Answers

Answer:

There are 2 lines, so this is a system of inequalities.

Find the equation of both lines:

The longer line using points (0,6) and (3,3)

Equation is y = -X+6, the inequality becomes y ≥-x+6

The equation for the shorter line:

Using points (5,1) and (6,2)

Equation is y=x-4, the inequality becomes y≤x-4

The system of inequalities is:

y ≥-x+6

y≤x-4

Step-by-step explanation:

PLS HELP! ILL MARK BRAINIEST! what is the x and y intercept for this equation?

Answers

x int: (-2, 0) y int: (0,4)

Can u guys plz give me ALL the following answers to graph 1.

Answers

Slope ~3
y intercept ~7
y= equation ~y=3x+7

some one please help, lots of points granted !!!!!​

Answers

1) y=-2x+5
2)y=-1/3x
3)y=-2x+4
4)y=-1/3x+1

find the perimeter of the shaded figure.

Answers

Answer:

38

Step-by-step explanation:

Count the unit squares for each side, starting from the left it's 7, 10, 7, 2, 2, 6, 2, and 2

Now add them together:

7 + 10 + 7 + 2 + 2 + 6 + 2 + 2 = 17 + 9 + 8 + 4 = 26 + 12 = 38

Answer: 38 units

Step-by-step explanation: Perimeter is asking for the total length of all the sides that make up a figure. The top border is 10 units, the two outer sides are 7 each (14 in total), if you add all the downward facing edges you get another 10 units, and the two inside sides are 2 units each (4 in total).

10+14+10+4 = 38

Solve each equation mentally for x.

x • 7/3 = 1

Your answer must be in the form of a fraction.

Answers

Use Cymath to find your answer.

Wykonaj mnożenie i zredukuj wyrazy podobne (x+5)(x+4)(x+3).

Answers

Answer:

.........................

What’s the answer I need help?

Answers

its either A or B

Step-by-step explanation:

its not C or D because it has to be an acute angle

Add a computer manufacturing company, they produce two different types of computers. They can make 70 laptops per day while making 55 desktop per day. The company has a total of 14 machines to make computers. They can make a total of 905 computers per day. How many machines make laptops and how many make desktops? (QUESTION NUMBER 4 and in the picture is question number 5. PLEASE HELP WITH BOTH

Answers

Answer:

For the second question, 4 busses and 3 cars.

Step-by-step explanation:

It's really simple actually, but sorry I can't come up with an equation. You can just add or multiply students per bus and students per car until you get to 195.  Each bus can hold 45 students, so 45 x 4 = 180. Each car can hold 5 students, so 5 x 3 = 15. In total, 15 + 180 = 195 students.

a conical vessels with base radius 5 cm and height 24cm is full of water this water is emptied into a cylindrical vessel of base radius 10cm find the height to which the water will rise in the cylindrical vessel​
please help me

Answers

Answer:

[tex]2\ cm[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Radius\ of\ the\ conical\ vessel=5\ cm\\Height\ of\ the\ conical\ vessel=24\ cm\\Hence,\\As\ we\ know\ that,\\Volume\ of\ a\ cone=\frac{1}{3}\pi r^2h\\Hence,\\The\ volume\ of\ the\ conical\ vessel=\frac{1}{3}\pi (5)^224= \frac{1}{3}\pi 25*24=200\pi \\Hence,\\The\ volume\ of\ the\ conical\ vessel=The\ amount\ of\ water\ filled\ in\ it\\Hence,\\The\ amount\ of\ water\ filled\ in\ the\ conical\ vessel=200\pi\\Lets\ consider\ the\ cylindrical\ vessel:\\Volume\ of\ a\ cylinder=\pi r^2h[/tex]

[tex]As\ we\ are\ not\ said\ that\ the\ cylindrical\ vessel\ was\ empty,\ let\ its\ initial\\ height\ be\ h_1\\Radius\ of\ the\ Cylindrical\ vessel=10\ cm\\Initial\ height\ of\ the\ cylindrical\ vessel=h_1\\Initial\ volume\ of\ the\ cylindrical\ vessel=\pi *10^2*h_1=100h_1\pi \\Initial\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi \\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=Final\ amount\ of\ water\\ in\ the\ cylindrical\ vessel +Amount\ of\ water\ in\ conical\ vessel[/tex]

[tex]Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi +200\pi \\Now,\\Let\ the\ final\ height\ be\ h_2\\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=\pi *10^2*h_2=100h_2\pi \\Hence,\\100h_2\pi =100h_1\pi +200\pi \\Hence,\\100h_2=100h_1+200\\100h_2-100h_1=200\\100(h_2-h_1)=200\\h_2-h_1=2\\Hence,\\As\ the\ rise\ in\ level\ is\ the\ difference\ between\ the\ initial\ and\ final\\ heights:\\The\ rise\ in\ level\ of\ water=2\ cm[/tex]

The graph below shows a system of equations:
5
y = -x + 5
.
4
3
2
K
+
+0
-1
2
6
y = x - 1
-2
-3
+
-57
The x-coordinate of the solution to the system of equations is
(5 points)

Answers

Answer:

x=2

Step-by-step explanation:

  y=-x+5

-1(y)=(x+1)-1   = -y=-x-1

   y=-x+5

+ -y=-x-1

  0=-2x-4

0=-2x-4

+4     +4

4=2x

1/2(4)=(2x)1/2

2=x

The x-coordinate of the solution to the system of equations is 3.

What is a system of equations?

A system of equations is a set or collection of two or more equations with the same variables. The common solutions are the intersecting points of the equations. The number of equations and unknowns affects the existence and uniqueness of the solution. A system of equations can be classified similarly to single equations.

Given that, the graph given shows a system of equations,

We know that, the solution of the system of equations, is given by the point where the lines intersect,

So, here the lines intersect, at (3, 2)

Therefore, the x-coordinate is 3

Hence, the x-coordinate of the solution to the system of equations is 3.

Learn more about system of equations click;

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HELP ASAP I WILL GIVE 25 POINTS AND MARK BRAINLIST!!!!!!

Answers

Answer:

1. Addition property

2. Division property

3.  Given

next question

1. Distributive

2. Addition

3. Division

4. Given

Step-by-step explanation:

HELPP ASAP PLEASE, WILL GIVE BRAINLIEST !!!!!
Sarah would like to hire a clown for her daughter’s birthday party. Clown A is offering his services for an initial fee of $100 in addition to $11 per hour. Clown B is offering her services for an initial $150 fee in addition to $8 per hour. When will the two clowns charge the same amount of money? Use a table to estimate the solution.

What are the functions?

Answers

Answer:

$88.00.

Step-by-step explanation:

here is how I got my answer,

first you multiply 11, 8 times then you will get a total of $88.00.

second you do the same thing, but you go like this, you multiply 8, 11 times and you will get a total of $88.00.

therefore your answer is $88.00.

PLZ HELP ITS URGENT!!! Which of the following represents the value of the series below? Also maybe if possible, could you please add an explanation?

Answers

Answer:

first one

Step-by-step explanation:

the sum of (9k-4) =3542

so it will be the first one because

28((5+248)/2)=3542

Answer:

a

Step-by-step explanation:

cuz i milk da cows homie, all fo my edge brothas, no cap on jaw, j keepin it real fo yall homies

Which of these is a factor of x3 – 3x2 ?
Question 19 options:

A)

x + 2

B)

x + 3

C)

x – 2

D)

x – 3

Answers

Answer:

The answer is D, x - 3.

Step-by-step explanation:

If we factor x^3-3x^2, the result is x^2(x-3).

Answer:

D

Step-by-step explanation:

Given

x³ - 3x² ← factor out x² from each term

= x²(x - 3) ← in factored form

with one of the factors being x - 3 → D

What is the equation of the line that passes through the point (4.11) and is perpendicular to the line with the following equation? OA. y = -x + 14 O B. - r - 15 OD. & 1 + 8​

Answers

Answer:

[tex]y = x +7[/tex]

Step-by-step explanation:

Given

[tex]Point\ (x_1,y_1) = (4,11)[/tex]

Perpendicular to [tex]y = -x + 14[/tex]

Required

Determine the line equation

An equation has the form

[tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison with [tex]y = -x + 14[/tex]

[tex]m = -1[/tex]

Because the line is perpendicular to [tex]y = -x + 14[/tex], the following relationship exists

[tex]m_1 = \frac{-1}{m}[/tex] i.e. the condition for perpendicularity

Where m1 is the slope of the equation that passes through [tex]Point\ (x_1,y_1) = (4,11)[/tex]

So, we have:

[tex]m_1 = \frac{-1}{-1}[/tex]

[tex]m_1 = 1[/tex]

The line equation is then calculated using:

[tex]y - y_1 = m_1(x - x_1)[/tex]

Where

[tex]m_1 = 1[/tex]

[tex]Point\ (x_1,y_1) = (4,11)[/tex]

So, we have:

[tex]y - 11 = 1(x - 4)[/tex]

[tex]y - 11 = x - 4[/tex]

Add 11 to both sides

[tex]y - 11+11 = x - 4+11[/tex]

[tex]y = x - 4+11[/tex]

[tex]y = x +7[/tex]

The B, C and D parts of your question are not clear.

Apply the same steps used in (a) above and you'll get your answers

(8x+9)(7x^2+3x+3)

Multiply

Answers

56x^3 + 87x^2 + 51x + 27

Answer:

56x³+87x²+51x+27

Step-by-step explanation:

You have to do box method. Draw a box that 3 by 2 cubes long. On the side that is 3 cubes long. Write 7x² on top of the first cube, 3x on top of the second cube, and 3 on top of the third cube. On the side that is two cubes long, write 8x next to the first cube and 9 next to the second cube.

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