Solve for x: 4 over 5 x + 4 over 3 = 2x x = Write your answer as a fraction in simplest form. Use the "/" symbol for the fraction bar. (2 points)

Answers

Answer 1

Answer:

x = 10/9

Step-by-step explanation:

Solve for x:

(4 x)/5 + 4/3 = 2 x

Put each term in (4 x)/5 + 4/3 over the common denominator 15: (4 x)/5 + 4/3 = (12 x)/15 + 20/15:

(12 x)/15 + 20/15 = 2 x

(12 x)/15 + 20/15 = (12 x + 20)/15:

(12 x + 20)/15 = 2 x

Multiply both sides by 15:

(15 (12 x + 20))/15 = 15×2 x

(15 (12 x + 20))/15 = 15/15×(12 x + 20) = 12 x + 20:

12 x + 20 = 15×2 x

15×2 = 30:

12 x + 20 = 30 x

Subtract 30 x from both sides:

(12 x - 30 x) + 20 = 30 x - 30 x

12 x - 30 x = -18 x:

-18 x + 20 = 30 x - 30 x

30 x - 30 x = 0:

20 - 18 x = 0

Subtract 20 from both sides:

(20 - 20) - 18 x = -20

20 - 20 = 0:

-18 x = -20

Divide both sides of -18 x = -20 by -18:

(-18 x)/(-18) = (-20)/(-18)

(-18)/(-18) = 1:

x = (-20)/(-18)

The gcd of 20 and -18 is 2, so (-20)/(-18) = (-(2×10))/(2 (-9)) = 2/2×(-10)/(-9) = (-10)/(-9):

x = (-10)/(-9)

Multiply numerator and denominator of (-10)/(-9) by -1:

Answer: x = 10/9


Related Questions

how do I do this?
I don't understand geometry and it's really confusing can one of you help me? ​

Answers

Answer:

lol im stuck too

Step-by-step explanation:

2/3 / (-9/4)

2/3 divided by (-9/4)

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] \frac{2}{3} \div ( - \frac{9}{4} ) = \\ [/tex]

[tex] \frac{2}{3} \times( - \frac{4}{9}) = \\ [/tex]

[tex] - \frac{2 \times 4}{3 \times 9} = - \frac{8}{27} = - ({ \frac{2}{3} })^{3} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

A digital thermometer costs $599.99. The company offers a $200 rebate. What percent of the cost is
the rebate?

Answers

Answer:

33.33%

Step-by-step explanation:

600/3 is 200 which means 1/3 of it is rebated

The high temperature on monday was -14 degrees. On Tuesday the high temperature was 24 degrees. Which integer represents the difference in high temperature on these 2 days?

Answers

The difference between the high temperatures on Monday & Tuesday is 38.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The integer that represents the difference in high temperature from Monday to Tuesday is 38.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The high temperature on Monday was -14 degrees.

On Tuesday the high temperature was 24 degrees.

The temperature difference between Monday and Tuesday.

= Temperature on Tuesday - Temperature on Monday

= 24 - (-14)

= 24 + 14

= 38

Thus,

The integer that represents the difference in high temperature from Monday to Tuesday is 38.

Learn more about expressions here:

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Timmy and Sam ran in a marathon. Timmy ran at a constant speed of 5 miles per hour. Sam ran at a
constant speed of 4 miles per hour and had a head start of 2 miles. Determine where Timmy and Sam will
meet.
HELPP

Answers

Given:

Speed of Timmy = 5 miles per hour

Speed of sam = 4 miles per hour and head start of 2 miles

To find:

Where Timmy and Sam will  meet.

Solution:

Let x be the number hours they ran in marathon and y be the total distance covered.

Speed of Timmy is 5 miles per hour. So, total distance covered by Timmy in x hours is

[tex]y=5x[/tex]       ...(i)

Speed of sam is 4 miles per hour and head start of 2 miles. So, total distance covered by sam in x hours is

[tex]y=4x+2[/tex]    ...(ii)

Now, equate (i) and (ii).

[tex]5x=4x+2[/tex]

[tex]5x-4x=2[/tex]

[tex]x=2[/tex]

The value of x is 2. It means they will meet after 2 hours.

Put x=2 in (i).

[tex]y=5(2)[/tex]

[tex]y=10[/tex]

It means, they will meet at 10 miles.

compare the decimal form of 2/5 and 4/9

Answers

Step-by-step explanation:

they are equal equally.

Answer:

The decimal form of 2/5 is .40. The decimal form of 4/9 is 0.4444. So 2/5 is smaller than 4/9, but if you round, they are equal.

Step-by-step explanation:

To get the decimal, you divide the numbers: 2 divided by 5 and 4 divided by 9.

Can someone please help me with this? It’s the last problem I need to turn in a test, I will mark brainliest :(

Answers

Answer:

33b - 8

Step-by-step explanation:

You solve for the perimeter like you would for any other shape by adding all the sides

The perimeter is side A + side B + side C.

so it's 9b+8 + 12b-8 + 12b-8

Add all the like terms

9b + 12 b + 12b = 33b

8 - 8 - 8= -8

= 33b -8

The Corner Market will sell 3 papayas for $3.75.

The unit rate is

The slope of the line that best represents the cost of papayas is

The unit rate and the slope of the line represent the

Answers

Answer:

The cost of papayas each is 1.25

Step-by-step explanation:

Hope this helped

______ terms are also expressions. (fill in the blank)
A. No
B. All
C. Some

Answers

the answer is:

c. some

Choose the best correct name for the set of numbers (...,-3-2-10,1,2,3,...) Integer real numbers natural number whole numbesr rational numbers irrational numbers

Answers

Answer:

the answer should be real numbers, rational numbers, and integers

Step-by-step explanation:

Rational numbers are numbers that can be written in the form of a/b where a and b are integers. The best correct name for the set of numbers (...,-3-2-10,1,2,3,...) are integers.

What is a rational number?

Rational numbers are numbers that can be written in the form of a/b where a and b are integers.

Example: 1/2, 3.5 (which is writable as 7/5), 2(which is writable as 4/2), etc.

The best correct name for the set of numbers (...,-3-2-10,1,2,3,...) are integers. Since integers are in the category of rational numbers, while rational numbers are in the category of real numbers.

Therefore, The correct name for the set of numbers (...,-3-2-10,1,2,3,...) can be either integer, rational numbers, or real numbers. But since rational numbers and real numbers are too wide, thus, the best answer choice will be integers.

Hence, The best correct name for the set of numbers (...,-3-2-10,1,2,3,...) are integers.

Learn more about Rational and Irrational Numbers here:

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25 POINTS!!!! AND BRAINLIEST!

1. An internet company surveyed their users. The first 25 people who responded gave the ages shown below. Answer the following questions and create a histogram to display the data.

(You may want to make a frequency table to help organize the data)
What intervals would you use to make the histogram?
Find the mean, median and mode of the data
Find the mean absolute deviation for the data
Identify skew of the data (normal or asymmetric)
Identify any peaks, gaps or clusters in the data from the histogram

Age of internet users:
25, 43, 65, 12, 8, 30, 44, 68, 18, 21, 25, 33, 37, 54, 61, 29, 31, 38, 22, 48, 19, 34, 55, 14, 21


2. What does it mean for data to have variability as it refers to statistical questions? Give an example.

Answers

It would mean for them to. Sooo like One of the basic forms they would use for the internet will help over however many people work there. If median and mode is 25 you would want to set the numbers together



.... hope this helps?

HELP URGENT‼️‼️

Tia needs 3/4 a cup of orange
juice for every 1/4 cup
of
water. How many cups of
orange juice does she need if
she uses 1 cup of water?

Answers

Answer:

The answer is 3 cups of orange juice.

Step-by-step explanation:

So basically it says every 1/4 cup of water, you need 3/4 cups of orange juice. Now, 1 cup of water is the same thing as 4/4 cups of water. To get to 4/4 from 1/4, you need to multiply 1/4 by 4. Because of that, you need to multiply 3/4 by 4 as well. 3/4 * 4 is 3, and that's how you get your answer.

Answer:3

Step-by-step explanation:

Kate stands 2 meters from a lamppost. She is 2.1 meters tall and casts a shadow 3 meters long in the light from the lamp. How tall is the lamppost? See diagram below.​

Answers

Answer:

3.5 meters.

Step-by-step explanation:

Please refer to the attachment.

Since the two triangles share two congruent angles, by AA Similarity, the two triangles are similar.

Therefore, we can write the following proportion:

[tex]\frac{3}{5}=\frac{2.1}{x}[/tex]

To find the height of the lamppost x, we will simply have to solve for x.

So, let’s cross-multiply:

[tex]10.5=3x[/tex]

Divide both sides by 3:

[tex]x=10.5/3=3.5[/tex]

Hence, the height of the lamppost is 3.5 meters.

2(x2 + 6) – 3 vy when x = 3 and y = 64.

Answers

Answer:

73

Step-by-step explanation:

you would do distributive property we know x= 3 so on the inside would be 32 now since we are doing distributive property you multiply 32x2 and 6x2

then you add them together and after you subtract 3 from 76 which = 73

Suponga que le piden averiguar cuán alto es un poste de luz, su mejor
momento es durante la tarde en un día soleado, si la única herramienta
que tiene es una cinta métrica de 5m ¿cómo haría para saber con la
mayor exactitud posible el tamaño del poste?

Answers

Answer:

gtdnuf fjgdyj gudchu hfvhd gjsjck

grixbedfb hvdb kgtd kggyan samera hhgv bcc

Help me out real fast

Answers

The answer is the first one, most typical periscopes include mirrors to reflect the light so you can see the image.

Help find domain and range

Answers

Answer:

d: 4 r:5

Step-by-step explanation:

for domain the x coordinates doesn't go over -2 on the left or 2 on the right so if u add the units of the space in between it's 4 since 2- (-2)=4

for the range, the y coordinates never goes over 3 or -2 so range is 5 is u add the units in between

I hope that makes sense!

What is the quotient? -3/8 divided by -1/4

Answers

-3/8= -0.375
-0.375/-.25 = 1.5
Answer: 1.5
Answer is 1.5 because it is b

How long does it take the penguin to walk 45 feet?

Answers

You have not mentioned any imformation such as speed of the penguin

Topic: Integrals
Subject: Calculus

If anyone could help I’d appreciate! I will certainly award points and give brainliest answer ASAP!! I promise :)

Answers

9514 1404 393

Answer:

  11 7/16

Step-by-step explanation:

The integration resolves into finding the area of two triangles. The left has a height of (-3/8(-2/3)+2) = 2 1/4, and a width of (16/3-(-2/3)) = 6. Then its area is ...

  A = (1/2)bh = (1/2)(6)(2 1/4) = 6 3/4

__

The right triangle has a height of |(-3/8)(31/3) +2| = |-31/8+16/8| = 15/8. Its width is (31/3) -(16/3) = 5, so its area is ...

  A = (1/2)(5)(15/8) = 75/16 = 4 11/16

Then the total area, the value of the integral, is ...

  6 3/4 +4 11/16 = 10 23/16 = 11 7/16 . . . the value of the integral

I think it’s b or c but not sure what it is 100 percent. The options are in the picture there is 4 and it asks which it can not be

Answers

9514 1404 393

Answer:

  d.  tan(16°) = x/6

Step-by-step explanation:

You can use logic to figure this out, even if you don't know much trigonometry.

Choices A and D are contradictory. One of them must be consistent with choice C. Choices C and D are also contradictory, so choices A and C must be in agreement and part of the set of statements that CAN be used.

Choice D is the statement that CANNOT be used to find x.

A florist delivers flowers to anywhere in town. D is the distance from the delivery address to the florist shop in miles. The cost to deliver flowers, based on the distance d, is given by C(d) = 0.04d^3 - 0.65d^2 + 3.5d + 9. Evaluate C(d) for d = 6 and d = 11, and describe what the values of the function represent

Answers

A. C (6) = 15.24; C 11 = 22.09.

C (6) represents the cost, $15.24, of delivering flowers to a destination that is 6 miles

from the shop.

C (11) represents the cost, $22.09, of delivering flowers to a destination that is 11 miles

from the shop.

b.

Answer:

The distance between the library and the florist’s shop is the length of CD . The endpoints of this line segment are C(3, 4) and D(3, -3). Because the x-coordinates of both points are the same (3), the length of CD can be found by subtracting the smaller y-coordinate from the greater y-coordinate: CD = 4 – (-3) = 4 + 3 = 7 units. The distance between the library and the florist’s shop is 7 blocks.

Step-by-step explanation:

The manager of a summer camp has 14 baseballs and 23 tennis balls. The manager buys some boxes of baseballs with 12 baseballs to a box and an equal number of boxes of tennis balls with 16 tennis balls to a box. Write an expression to represent the total number of balls. PLEASE PLEASE HELP I NEED IT DONE TONIGHTTT

Answers

Answer:

u want full equation?

Step-by-step explanation:

Answer

baseballs:14+12n

tennies balls: 23+16n

14+12n+23+16n

14+23+12n+16n

(14+23)+(12n+16n)=37+28n

(n= the number of boxes of each type)

Step 1: We write expressions for the total number of baseballs and tennis balls

Step 2: We find an expression fr the total number of balls:

We combine the above expressions:

We use the Commutative Property:

We combine like terms:

( the answer is 37+28n)

11. In AWTY, if mZW is five less than twice mZY and mZX is 21 more than m_Y find the measure
of each angle.

Answers

9514 1404 393

Answer:

  angles (W, X, Y) = (77°, 62°, 41°)

Step-by-step explanation:

Given:

  ΔWZY

  ∠W = 2(∠Y) -5°

  ∠X = ∠Y +21°

Find:

  ∠X, ∠Y, ∠W

Solution:

Using angle measures in degrees, we have ...

  ∠X + ∠Y + ∠Z = 180

  (∠Y +21) +∠Y + (2(∠Y) -5) = 180

  4(∠Y) +16 = 180 . . . . . simplify

  ∠Y +4 = 45 . . . . . . . . . divide by 4

  ∠Y = 41 . . . . . . . . . . . . subtract 4

  ∠W = 2(41) -5 = 77

  ∠X = 41 +21 = 62

The angle measures of angles (W, X, Y) are (77°, 62°, 41°), respectively.

Please look at the photo and solve please I need help

Answers

Answer:

B

Step-by-step explanation:

The unit rate changes throughout the table.

Give your answer to the nearest tenth.

Answer Choices:

44


44.5


45


45.5

Answers

9514 1404 393

Answer:

  x = 44.5

Step-by-step explanation:

The angles defined by x will be supplementary when the lines m and n are parallel.

  (x +4) +(3x -2) = 180

  4x +2 = 180

  4x = 178

  x = 44.5 . . . . will make m and n parallel

6. At a football game, the home team gave a football to each of the first 1,000 fans who arrived at the stadium. Each football cost $31. What expression can you write that shows the total cost of the footballs?

Answers

Answer:

1,000*31 = 31,000

Step-by-step explanation:

since the first 1000 fans get a ball and each ball costs $31 then u multiply

Can someone solve all these answers for this polynomials worksheet?

Answers

Answer:

2. 4

3. 5

4. 8

5. 9

6. 1

7. 6

8. 5

9. 7

10. 2

Step-by-step explanation:

Count the number of terms for each.  Alternately, count the number of "+" and "-", and add 1.

I NEED HELP ASAP FOR BRAINLIEST

Answers

Answer:

y=x+4

Step-by-step explanation:

slope intercept form: y=mx+b

m is the slope of the line and b is the y-intercept

slope: 1

y-intercept: 4

hopefully this helps :)

Answer:

y=x+4

Step-by-step explanation:

y=mx+b

m-is the slope and b-is the y-intercept

(x, y) = (0,4)

4=0+b so b =4

substitute in the equation

y=x+4

Hmmmmmmmmmm helllo world my brain is broken and I need help :)

Answers

Answer:

fell that it would be C I'm pretty sure

Answer:

d

Step-by-step explanation:

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