2 1/4(4x-1)=1 3/5(1+4x)?? I need help with this problem. Thanks!!

Answers

Answer 1

Solving [tex]2\frac{1}{4}(4x-1)=1\frac{3}{5}(1+4x)[/tex] we get [tex]x=\frac{77}{52}[/tex]

Step-by-step explanation:

We need to solve the problem: [tex]2\frac{1}{4}(4x-1)=1\frac{3}{5}(1+4x)[/tex]

Solving:

[tex]2\frac{1}{4}(4x-1)=1\frac{3}{5}(1+4x)\\\frac{9}{4}(4x-1)=\frac{8}{5}(1+4x)\\9x-\frac{9}{4}=\frac{8}{5}+\frac{32x}{5}[/tex]

Add 9/4 on both sides:

[tex]9x-\frac{9}{4}+\frac{9}{4}=\frac{8}{5}+\frac{32x}{5}+\frac{9}{4}[/tex]

[tex]9x=\frac{8}{5}+\frac{9}{4}+\frac{32x}{5}\\9x-\frac{32x}{5}=\frac{8}{5}+\frac{9}{4}\\\frac{9x*5-32x}{5}=\frac{8*4+9*5}{20}\\\frac{45x-32x}{5}=\frac{32+45}{20}\\\frac{13x}{5}=\frac{77}{20}\\x=\frac{77}{20}\times \frac{5}{13}\\x=\frac{77}{4*13}\\x=\frac{77}{52}[/tex]

So, Solving [tex]2\frac{1}{4}(4x-1)=1\frac{3}{5}(1+4x)[/tex] we get [tex]x=\frac{77}{52}[/tex]

Keywords: Solving Fractions

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Related Questions

Find y by itself 7y=14x-21

Answers

Answer: y=2x-3

Step-by-step explanation:

divide both sides by 7

7y/7=(14x-21)/7

y=2x-3

7y=14x-21

Divide both sides of the equation by 7

Y=2x-3 is the final solution

Find c.
Round to the nearest tenth:
Help
27 CM
C= [? ]cm
Acellus!!

Answers

Answer:

a = 44.1 cm

Step-by-step explanation:

Using the Law of Sines is the way to go, but before you use it we need the measure of angle A.

180 - 102 - 28 = A so

A = 50 degrees.  Now setting up the Law:

 and cross multiply to get

27sin50 = asin28 and

so,

a = 44.1 cm

(this isn't my answer, cr Luv2Teach on brainly. i just saw that the same question was posted and was already answered)

What is 1 + 1 times the square root of pie times by 0.005

Answers

Answer:

[tex]1+1\cdot \sqrt{\pi }\cdot 0.005=1[/tex]

Final answer:

The expression 1 + 1 times the square root of pi times by 0.005 requires calculating the square root of pi, multiplying by 0.005, and adding that product to 1, following the order of operations.

Explanation:

To solve the equation 1 + 1 times the square root of pi times by 0.005, follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction). The equation can be unfolded as 1 + 0.005√π.

Now, to solve this equation we follow the below steps:

For π = 3.14, the value of √π is 1.77Multiplying 1.77 with 0.005 we have 0.0088Adding 1 to 0.0088 we have the final result as 1.0088

So, the value of 1 + 0.005√π is 1.0088.

1. 2x - 12 = 6

2. 2x + 6= 8

3. 12s - 12=12

4. 14s + 6 = 35

5. 3s - 12 = 6

6. 18t + 9 = 34

7. 21x + 7 = 28

8. 50y + 5 = 105

9. 1/4x - 6 = 24

10. 13x + 2 = 18

11. 6 - 3x = 18

12. 14 + s = 21

13. 16x - 4 = 28

14. 19x - 1 + 3 = 40

15. 10t = 194

16. 400x + 100 = 1100

17. 40 - 3x + 3 = 113

(Please help me with these problems all is appreciated)

Answers

Answer:

see the attached pictures please

Candace used a compass to draw the circle shown here. She then used the same compass setting to mark off arcs on
the circumference. She kept making arcs until she met her starting point. What figure will she form if she joins the arc
marks in order?


A)an irregular hexagon
B)a regular hexagon
C)overlapping triangles
D)no figure will be formed

Answers

Answer:

B

Step-by-step explanation:

Candace used a compass to draw the circle shown here. She then used the same compass setting to mark off arcs on the circumference. She kept making arcs until she met her starting point. In this way, she has marked 6 arcs. When connecting all points (intersection points), the formed figure will be a hexagon.

Since all arc have the same measure, this hexagon will be regular hexagon (hexagon with all congruent sides).

Answer:

the answer is "a regular hexagon"(B)

Step-by-step explanation:

There's no better way to answer it then how  frika did.

What is the mean of 12,9,17,15,10

Answers

Answer:

12.6

Step-by-step explanation:

Add them together and divide by the amount of numbers

12.6 the mean is adding them together and dividing by how many numbers are in the sum

Which of the following statements best explains how the graphs misrepresent the data?

A.The graphs were created with different colors.

B.The graph for City B makes its population appear much smaller, but its population is only a little smaller than City A.

C.The graphs use different scales, making it appear that City A has a larger population than City B.

D.The graphs do not include information for the years between 1950 and 2000, so there is not enough information to compare their populations.

Answers

Answer:

C

Step-by-step explanation:

The scale for graph A is 500 and the scale of graph B is by 500000 making it very unrepresentative

Consider the following piece-wise function. Which of the below correctly describes the graph shown?

Answers

Answer:

C.

[tex]f(x)=\left\{\begin{array}{l}\dfrac{1}{2}x-3,\ \ x<2\\ \\3x-8,\ \ x\ge 2\end{array}\right.[/tex]

Step-by-step explanation:

The graph of the piecewise function consists of two linear functions which graphs meets at point with x-coordinate x = 2.

1. The left linear function is determined for all x < 2 and is passing through the points (0,-3) and (-2,-4). So, its slope is

[tex]\dfrac{-4-(-3)}{-2-0}=\dfrac{-1}{-2}=\dfrac{1}{2}[/tex]

and its equation is

[tex]y-(-3)=\dfrac{1}{2}(x-0)\\ \\y=\dfrac{1}{2}x-3[/tex]

2. The right linear function is determined for all x ≥ 2 and is passing through the points (2,-2) and (3,1). So, its slope is

[tex]\dfrac{1-(-2)}{3-2}=\dfrac{3}{1}=3[/tex]

and its equation is

[tex]y-1=3(x-3)\\ \\y=3x-8[/tex]

3. Hence, the expression for the piece-wise function is

[tex]f(x)=\left\{\begin{array}{l}\dfrac{1}{2}x-3,\ \ x<2\\ \\3x-8,\ \ x\ge 2\end{array}\right.[/tex]

The slope of a line is the rate of change. The correct option is the first option.

What is the slope of a line?

The slope of a line is the rate of change, also it can be described as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

In order to know the correct option of function that describes the graph, we will find the function of the graph, therefore,

Let's find the equation of the first function that is on the left side of the graph.

We know that the slope of the line is given by the formula,

[tex]\text{Slope of the line} = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

Considering the two of the points of the slope,

[tex](x_1, y_1) = (2,-2)\\(x_2, y_2) = (-4,-5)\\[/tex]

Substituting the values to know that slope of the line, therefore,

[tex]\text{Slope of the line}, m= \dfrac{-5-(-2)}{-4-2} = \dfrac{-3}{-6} = \dfrac{1}{2}[/tex]

Now, using one of the points to know the value of the constant,

[tex]y=mx+c\\y_2 = mx_2+c\\-5=(\dfrac{1}{2}\times -4)+c\\-5=-2+c\\-3=c[/tex]

Hence, the equation that will represent the graph for the values of x less than -2 is [tex]y=\dfrac{1}{2}x-3[/tex].

Since, there are only two options that match this condition, the first option and the third option, now other functions will represent the rest of the graph, therefore, for the value of x greater than -2 (x≥-2).

Hence, the correct option is the first option.

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Solve for x.
-25x + 175 > 225 and 5x - 83 ≥ - 73

Answers

Answer: No Solutions

Step-by-step explanation:

Please help me !!! Brainliest

Answers

In a trapezoid, the angles are supplementary. Because the base lines are parallel, we know that the angles on the sides are same-side angles, which are supplementary.

Knowing this:
2x + (x - 12) = 180
(2x and (x - 12) are same side angles)
3x - 12 = 180
3x = 192
x = 64

Do the same for the other pair of same-side angles:
3y + (y + 20) = 180
4y + 20 = 180
4y = 160
y = 40

x = 64 and y = 40

Let me know if you need me to explain anything I did here :))
-T.B.

Will mark brainliest once it becomes available

Answers

Answer:

m=47

Step-by-step explanation:

Answer:

m=47

Step-by-step explanation:


The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it. Find the volume of the solid in cubic millimeters.
A.60
B.300
C.540
D.780

Answers

the correct answer is A

Simplify the algebraic expression by combining like terms 0.8x + 19 - 0.7x

Answers

Answer:

Let's simplify step-by-step.

0.8x+19−0.7x

=0.8x+19+−0.7x

Combine Like Terms:

=0.8x+19+−0.7x

=(0.8x+−0.7x)+(19)

=0.1x+19

Answer:

=0.1x+19

Step-by-step explanation:

I hooe it helps plz Mark me brainliest

ryan has a mix of action and sports games for a total of 39 video games his action collection is three more than half his sports collection how many action games and how many sports games does He have

Answers

Answer:

He have 15 action games and 24 sports games.

Step-by-step explanation:

Given:

Ryan has a mix of action and sports games for a total of 39 video games his action collection is three more than half his sports collection.

Now, to find the number of action games and sports games.

Let the sports games be [tex]x.[/tex]

As, given his action collection is three more than half his sports collection.

Thus, the action games = [tex]3+\frac{x}{2}[/tex] .

Total number of video games = 39.

So, we set an equation to get the number of action games and sports games:

[tex]x+(3+\frac{x}{2})=39[/tex]

[tex]x+3+\frac{x}{2} =39[/tex]

Subtracting both sides by 3 we get:

[tex]x+\frac{x}{2} =36[/tex]

[tex]\frac{2x+x}{2}=36[/tex]

[tex]\frac{3x}{2} =36[/tex]

Multiplying both sides by 2 we get:

[tex]3x=72[/tex]

Dividing both sides by 3 we get:

[tex]x=24.[/tex]

The sports games he have = 24.

Now, to get the action games we substitute the value of [tex]x[/tex]:

[tex]3+\frac{x}{2}[/tex]

= [tex]3+\frac{24}{2}[/tex]

= [tex]3+12[/tex]

= [tex]15.[/tex]

The action games he have = 15.

Therefore, he have 15 action games and 24 sports games.

Final answer:

The problem involves a basic algebraic system of equations. By defining variables, setting up the equations based on the problem statement, and solving the system, it is found that Ryan has 24 sports games and 15 action games.

Explanation:

This is a problem related to the field of algebra in mathematics. To find the answer, we first need to assign variables: let's denote the number of sports games as 's' and the number of action games as 'a'.

From the problem, we know that the total number of sports and action games is 39, which can be written in algebra as: a + s = 39.

Also, the problem states that the number of action games is three more than half of the number of sports games. That means, a = s/2 + 3.

Now we need to solve this system of equations. Substituting the second equation into the first (replacing 'a' in the equation 'a + s = 39' with 's/2 + 3'), we get s/2 + 3 + s = 39. Solving this equation for 's', we find that Ryan has 24 sports games.

Substitute s = 24 into the first equation we got 'a + 24 = 39' . Solving this for 'a', we find that Ryan has 15 action games.

Therefore, Ryan has 24 sports games and 15 action games.

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Janelle and Lisbeth are picking berries. Janelle picks Three-fourths of a quart more than Lisbeth picks every hour. The equation representing the scenario is 3 (x) + 3 (x + three-fourths) = 8. Which statements about the scenario and the equation are true? Check all that apply.

Answers

Answer:

The scenario is translated to Lisbeth's berries + Janelle's berries = 8 quarts.The expression x represents the quarts of berries that Lisbeth picks each hour.The girls picked berries for 3 hours

Step-by-step explanation:

i) Lisbeth picks x quarts berries every hour is given.

ii) Janelle picks (x + three fourths) quarts berries every hour is also given.

iii) It is also give that if Janelle and Lisbeth pick berries for 3 hours then the

   equation representing that fact is given by 3(x) + 3(x+three-fourths) = 8

iv)From the above three equations we can say that the following are true

The scenario is translated to Lisbeth's berries + Janelle's berries = 8 quarts.The expression x represents the quarts of berries that Lisbeth picks each hour.The girls picked berries for 3 hours.

Help plz?!

A and B are complementary angles. If m A is 30°, what is the measure of B?

A:60°

B:150°

C: 40°

D: 90°

Answers

your answer is 60 Degrees because 60 + 30 = 90 degrees

( you need it to sum to 90 Degrees)

A because since a complementary angle is an angle that adds up to 90°, 30+60=90.

F(x)=3x+5
G(x)=4x^2-2
H(x)=x^2-3x+1
Find f(x) + g(x)-h(x)
A.6x^2+6x-1
B.5x^2+4
C.3x^2+2
D.3x^2+6x+2

Answers

Answer:

Step-by-step explanation:

F(x) = 3x + 5

G(x) = 4x^2 - 2

H(x) = x^2 - 3x + 1

F(x) + G(x) - H(x) =

3x + 5 + 4x^2 - 2 - (x^2 - 3x + 1) =

3x + 5 + 4x^2 - 2 - x^2 + 3x - 1 =

3x^2 + 6x + 2 <===== ur answer

Answer:

it's a D

Step-by-step explanation:

3x^2+6x+2

Solve for X.

-10

10

180

125

Answers

Answer:

x+125+x+75=180

2x+200=180

2x=-20

x= -10

-10+75= 65

-10+125=115

Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches off of the width. The area of the smaller square is 1/4the area of the original square. What was the side length of the original square?

Answers

Answer:

The side length of the original square was 6 inches

Step-by-step explanation:

we know that

The area of a square is

[tex]A=b^2[/tex]

where

b is the length side of the square

Let

x ---> the length of the original square

The area of the original square is

[tex]A=x^{2}\ in^2[/tex]

The length of the smaller square is

[tex]b=(x-3)\ in[/tex]

The area of the smaller square is

[tex]A=(x-3)^2\ in^2[/tex]

The area of the smaller square is 1/4 the area of the original square

so

[tex](x-3)^2=\frac{1}{4} x^{2}[/tex]

solve for x

[tex]x^2-6x+9=\frac{1}{4} x^{2}[/tex]

Multiply by 4 both sides

[tex]4x^2-24x+36=x^{2}[/tex]

[tex]4x^2-x^2-24x+36=0\\3x^2-24x+36=0[/tex]

Solve the quadratic equation by graphing

using a graphing tool

x=2, x=6

see the attached figure

The solution is x=6 in

Remember that the solution must be greater than 3 inches (because Stacey cuts  3 inches off of the length of the square and 3 inches off of the width)

therefore

The side length of the original square was 6 inches

Circle in the coordinate plane??​

Answers

Answer:

2, -2, 9

Step-by-step explanation:

since your center is (2, -2) and your radius is 3 units.

4 1/2÷ 1 1/4 correctly answer in simplest form​

Answers

Answer:

3 3/5

Step-by-step explanation:

Blake Ewasko's charge account uses the unpaid balance method to compute the finance


charges at a monthly periodic rate of 2.15%. During the month, he charged $189.34, made a 100.00


payment, and had a $21.54 finance charge. Find Blake's new balance.

Answers

Answer:

$1,114.66

Step-by-step explanation:

Data provided in the question:

Monthly periodic rate = 2.15% = 0.0215

current Charges = $189.34

Payment made = $100.00

Finance charge = $21.54

Now,

Previous balance = Finance charges ÷ Rate

= $21.54 ÷ 0.0215

= $1001.86

Unpaid balance = Previous balance + Current charges - Payment

= $1001.86 + $189.34 - $100.00

= $1091.2

New balance = Unpaid balance × ( 1 + Rate )

= $1091.2 × ( 1 + 0.0215)

= $1,114.66

Given Information in  the question:

Monthly periodic rate = 2.15% = 0.0215 Current Charges = $189.34 Payment made = $100.00 Finance charge = $21.54

Previous balance = Finance charges ÷ Rate  

Previous balance = $21.54 ÷ 0.0215  Previous balance = $1001.86

Unpaid balance = Previous balance + Current charges - Payment  

Unpaid balance = $1001.86 + $189.34 - $100.00  Unpaid balance = $1091.2

New balance = Unpaid balance × ( 1 + Rate )  

New balance= $1091.2 × ( 1 + 0.0215)  New balance= $1,114.66

Blake's new balance is $1114.66.

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Four friends are going to split the cost of a pizza. If p stands for the cost of the pizza, which of the following expressions could represent what each friend will pay?

A.4p
B.p - 4
C.p
D.p/4

Answers

Answer: A

Step-by-step explanation:

Answer: A.) 4p

Step-by-step explanation:

Find the value of x

Answers

Answer:

85

Step-by-step explanation:

All triangles equal 180

Answer:

85

Step-by-step explanation:

(A triangle is 180 degrees)

52 + 43 = 95

180 - 95 = 85

Each marble bag sold by Latoya’s Marble Company contains 7 purple marbles for every 4 red marbles. If a bad has 32 red marbles, how many purple marbles does it contain?

Answers

Answer:

Step-by-step explanation:

7 purple to 4 red = x purple to 32 red

7 / 4 = x / 32....cross multiply because this is a proportion

(4)(x) = (7)(32)

4x = 224

x = 224/4

x = 56 purple <==

Final answer:

To find the number of purple marbles in a bag that has 32 red marbles, given the ratio of 7 purple marbles for every 4 red marbles, simply divide 32 by 4 to find the number of sets and multiply by 7. The bag will contain 56 purple marbles.

Explanation:

Given the ratio of 7 purple marbles to 4 red marbles in a bag sold by Latoya's Marble Company, we can determine the number of purple marbles if a bag has 32 red marbles. To do this, we need to use the ratio to find out how many times the number of red marbles fits into the given amount and then multiply that number by the amount of purple marbles in the ratio.

Step-by-Step Calculation:

Start with the given ratio: 7 purple marbles for every 4 red marbles.

Determine how many sets of 4 red marbles there are in 32 red marbles by dividing 32 by 4, which is 8.

Since there are 7 purple marbles for every set, multiply 7 by the number of sets, which is 8.

The result is 56 purple marbles.

Therefore, a bag with 32 red marbles will contain 56 purple marbles.

Which pair of rectangles is similar? Plzzzx help me

Answers

Option 1 is correct

Step-by-step explanation:

Similarity means two images having same shape or one image can be obtained by uniformly scaling the other image.

In the given options, one rectangle is larger and the other is smaller so we have to check which pair of rectangles contain rectangle that is obtained by scaling the other rectangle.

So

We can find the scale factor by dividing the sides of larger rectangle by dividing the respective sides in smaller rectangle.

Option 1:

[tex]Scale\ for\ length = \frac{9}{3} = 3\\Scale\ for\ width = \frac{15}{4} = 3.75[/tex]

As the scale is not same for both sides ( not uniform), so the rectangles are not similar

Option 2:

[tex]Scale\ for\ length = \frac{6}{2} = 3\\Scale\ for\ width = \frac{8}{4} = 2[/tex]

As the scale is not same for both sides ( not uniform), so the rectangles are not similar

Option 3:

[tex]Scale\ for\ length = \frac{6}{3} = 2\\Scale\ for\ width = \frac{15}{8} = 1.875[/tex]

As the scale is not same for both sides ( not uniform), so the rectangles are not similar

Option 4:

[tex]Scale\ for\ length = \frac{9}{3} = 3\\Scale\ for\ width = \frac{12}{4} = 3[/tex]

As the scale is same for both sides(Uniform), so the rectangles are similar

Hence,

Option 1 is correct

Keywords: Rectangles, similarity

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Solve each system of equations by substitution
Y=4x+13 y=6x+19

Answers

Answer:

I believe the answer to this question is: (-3,1) X=-3, Y=1.

What do u call a destroyed angle

Answers

A rect angle cause the angle is reckt

Final answer:

A destroyed angle is called a zero angle in mathematics.

Explanation:

In mathematics, a destroyed angle is typically referred to as a zero angle. A zero angle is an angle that measures 0 degrees. It is formed when two lines coincide and create a straight line.

For example, if you have two lines that are parallel to each other and you take a protractor to measure the angle between them, you would get a measurement of 0 degrees, indicating a zero angle.

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Find the next three terms of the geometric sequence -8, 12, -18,27

Answers

Answer:

-40.5, 60.75, -91.125

Step-by-step explanation:

first you want to find the common difference. So just divide 12 by -8, which is -1.5 and then multiply 27 by -1.5, which is -40.5 and continue two more times.

Hey, can yall help me with this question?

Answers

SIR YOUR ANSWER IS B. I K FO SHO. THANK YOU. HOPE THIS HELPS. MIND MARKING BRAINLIEST AGAIN? XD THANKS

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Edin has 300 in his savings account.his bank offers him 5% simple intrest rate ped annum for a period of 3 years.how much intrest will he make after 3 years Copper exists in nature as two isotopes. The atomic masses and relative abundance of these isotopes is given in the table. What is the averageatomic mass of copper?IsotopeCu-63Cu-65Relative Abundance(%)69.1730.83Atomic Mass (am)62.9364.94A. 62.93 amuB. 63 55 amuC. 63.935 amuD. 64.94 amuE. 127.87 amu A dress that is regularly priced $80 is on sale for 30% off. What is the sale price of the dress? Express 7.62 * 10 ^ (- 4) standard form 0.0062 72600 0.000762 76200 The purpose of financial accounting is to provide information primarily for which of the following groups? A.Internal Revenue Service. B.Investors and creditors. C. Financial Accounting Standards Board. D.Government. Acme Global sent 100 workers to training to decrease defects on the assembly line. In the past year, there have been 2,000 defective products created at a cost of $100 each. In the year following training, only 1,000 defective products were created. Training costs $100 per worker. What is the ROI on the training? What is the best way to describe the theme of this poem? The new year begins on a set of old promises. I look at my list crumpled in my fist. A carefully torn page, inside my wishful cage It is the same yellow as the year before, Twelve things that could change my life. I can see the cursive letters when I close my eyes. There my past remains, here my future lies. I resolve again, to give my old ambitions a refreshed try. A. The main purpose of having New Year's resolutions is to make people feel bad. B. By the end of the year, it is too late to make any changes to a person's life. C. People would accomplish their New Year's resolutions if they wrote them down. D. The failures of the past should inspire people to accomplish more in the future. Who was the French leader at the time of the romans? The average density of Styrofoam is 1.00 kg/m^3. If a Styrofoam cooler is made with outside dimensions of 50.0 x 35.0 x 30.0 cm and the uniform thickness of the Styrofoam is 3.00 cm (including the lid), what is the volume of the Styrofoam used in cubic inches? The answer should be 1100 cubic inches, but I do not know how to get there What term means that an antimicrobial drug can injure/kill the target cell or organism without injuring the person receiving the drug? What is the simplified version of (-3x^3y^2) (5xy^-1)?A. 15x^2/y^2B. -15x^3y^2C.-15x^4yD. 15x^4y Steam Workshop Downloader