what are two ways to solve this equation.

What Are Two Ways To Solve This Equation.

Answers

Answer 1

Answer:

x = - [tex]\frac{96}{23}[/tex]     or   x=  4.1739

Step-by-step explanation:

[tex]\frac{3x}{8}[/tex]  -  [tex]\frac{4x}{3}[/tex]  =  4

I will show  two methods  of solving this equation

First method

We will follow the steps below:

First find the LCM of 8 and 3

The LCM of 8 and 3 is 24

Next is to multiply through by 24

Our equation becomes

24 ×[tex]\frac{3x}{8}[/tex]  - 24× [tex]\frac{4x}{3}[/tex]  = 24× 4

3×3x    -  8×4x    =24×4

9x  -  32x   = 96

-23x = 96

Divide both-side of the equation by - 23

-23x/-23= 96/-23

x=-[tex]\frac{96}{23}[/tex]        or      x=4.1739

second method

[tex]\frac{3x}{8}[/tex]  -  [tex]\frac{4x}{3}[/tex]  =  4

[tex]\frac{9x - 32x}{24}[/tex]   =   4

multiply both-side of the equation by 24   or cross multiply

9x - 32x = 96

-23x = 96

divide both-side of the equation by -23

x = - [tex]\frac{96}{23}[/tex]     or   x=  4.1739


Related Questions

Follow the steps to solve for the variable in this two step equation 5x-10=0

Answers

Answer:

x = 2

Step-by-step explanation:

5x = 10

x = 2

Answer:

x = 2

Step-by-step explanation:

5x-10=0

Add 10 to each side

5x-10+10=0+10

5x = 10

Divide by 5

5x/5 = 10/5

x = 2

What is a co-prime number? Please answer as soon as possible Thank you

Answers

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

Two numbers that only have 1 as a common factor are called co-prime numbers.

Example:

Factors of 3 ⇒ 1, 3

Factors of 4 ⇒ 1, 2, 4

These numbers only have 1 as a common factor. So 3 and 4 are co-prime numbers.

Shelley and David have a sweet tooth. Shelley spent \$2.65 for 15 sour keys and 2 chocolate bars. David bought 3 chocolate bars and 10 sour keys for \$3.35 at the same store. Find the cost of each chocolate bar and each sour key at this store. If you need 8 chocolate bars and 24 sour keys to give to friends coming to your birthday party, how much will they cost you at this store?

Answers

Answer:

Chocolate bars: $0.95 each

Sour keys: $0.05 each

Total cost for 8 chocolate bars and 24 sour keys: $8.80

Step-by-step explanation:

sour keys=x

chocolate bars=y

15x+2y=2.65

10x+3y=3.35

multiply the second equation by 1.5

15x+4.5y=5.025

2.5y=2.375

y=0.95

Chocolate bars are $0.95 each.

Now substitute the y value in one of the equations

15x+2(0.95)=2.65

15x+1.9=2.65

15x=0.75

x=0.05

Sour keys are $0.05 each.

For the second part of the question, just multiply the number of chocolate bars by the cost and same thing with the sour keys and add them.

Final answer: $8.80

Determine whether the underlined number is a statistic or a parameter. Upper A sample of professors is selected and it is found that Modifying 35 % with underline own a television. Choose the correct statement below. Parameter because the value is a numerical measurement describing a characteristic of a population. Statistic because the value is a numerical measurement describing a characteristic of a population. Parameter because the value is a numerical measurement describing a characteristic of a sample. Statistic because the value is a numerical measurement describing a characteristic of a sample

Answers

Answer:

Option : Statistic because the value is a numerical measurement describing a characteristic of a sample.

Step-by-step explanation:

A sample of professors is selected and it is found that Modifying 35 % with underline own a television.

The 35% is the value that summarizes the characteristic of the sample taken from the population. Thus, the value 35% is a statistic.

While a parameter gives a value describing the characteristic of the population itself

Given: Sample proportion is (P)=[tex]35%[/tex]%.

Statistics are the constants that are computed from sample observations alone. This is a simple definition of statistics.

Answer: The correct statement is  Statistic because the value is a numerical measurement describing a characteristic of a population.

Explanation: That is, statistic because the value is a numerical measurement describing the characteristic of a sample.

The remaining statements are incorrect.

As parameters are the constants of the population. They describe only the population not the sample.

Learn more: https://brainly.com/question/10211620

Urgent help I need it right now!!!!

Answers

Answer:

[tex]\boxed{\sf 30 \ bean \ cans}[/tex]

Step-by-step explanation:

The ratio of bean cans to corn cans is 6 : 7

Given that Corn cans = 35

Let the bean can be x

So,

The proportion for it will be:

6 : 7 = x : 35

Product of Means = Product of Extremes

7 * x = 6 * 35

7x = 210

Dividing both sides by 7

x = 30

So, 30 bean cans have to be put on the table to hold the needed ratio

Which is a diagonal through the interior of the cube? Side A H Side B E Side C H Side F G

Answers

Answer:

Option (A)

Step-by-step explanation:

Every cube has 8 vertices and 6 faces.

Cube shown in the picture attached,

Diagonal through interior of the given cube will be the segments joining the vertices A-H, G-B, C-F and D-E.

Therefore, from the given options diagonal of the interior of the cube will be Side AH.

Option A will be the answer.

Answer:

the awnser is A

Step-by-step explanation:

i took a quiz

Which graph represents the solution to this system of inequalities? y 2x-4

Answers

Answer:

where's the graph??? .......

plz help will give brainliest

Answers

Answer:

77

Step-by-step explanation:

slope equation

The roots of 100x2 – 20x + 1 = 0 is:​

Answers

Answer:

             x = 0.1    

Step-by-step explanation:

[tex]100x^2-20x+1=0\\\\(10x)^2-2\cdot10x\cdot1+1^2=0\\\\(10x-1)^2=0\\\\10x-1=0\\\\10x=1\\\\x=0.1[/tex]

which ones have no solution? a. -14x+23=14x-23 b. 14x+23=14x-23 c. -23x-14=14x-23 d. 14x-23=14x-23

Answers

Answer:

B and D

Step-by-step explanation:

B: 14x and 14x cancel out, so there would be no x left.

D: 14 x and 14x cancel out, as well as -23 and -23, therefore leading to no solution.

Hope this is helpful! :)

Answer:

The answer is B

Step-by-step explanation:

I got this answer on Khan Academy.

Hope this helps! :)

If today is Sunday, then Theodore is either playing soccer or watching television. If Theodore is playing soccer (regardless of the day of the week), it means that he hasn't finished his homework or taken out the trash. If the trash is taken out, and Theodore is watching television, then he has finished his homework. Today is Sunday and the trash is taken out. Then it has to be true that:

A) His homework is finished
B) His homework isn't finished
C) This situation is impossible
D) There isn't one right answer

Answers

Answer:

His homework isn't finished.

Step-by-step explanation:

As in this sentence: "If the trash is taken out, and Theodore is watching television, then he has finished his homework.". It says that if trash is taken out, then Theodore has not finished his homework He has just taken out the trash.

Answer:b his homework isnt finished

Step-by-step explanation:

Help! Pls pls pls! Fast!

Answers

it is transformed [tex]|x|[/tex] function. moved down by and right by 1 unit,

so $y=|x-1|-1$

In rectangle ABCD the diagonals intersect each other at point O and m∠ABD=30°. Find BC if AC = 16 in....

Answers

Answer:

BC = 8

Step-by-step explanation:

16 ( sin 30 degrees ) = BC

16 (0.5)

16/2

BC = 8

Give the other person brainliest they deserve it.

Jill is standing at the base of her apartment building. She measures the angle of elevation to the top of a nearby tower to be 40º. Then Jill goes to the roof of her apartment building, directly above her previous position, and measures the angle of elevation to the top of the same tower to be 30°. If the height of the tower is 100 meters, the height of Jill's apartment building is meters.

Answers

Answer:

1) From the measure of 40°, you can write:

tan(40°) = 100/x, where x is the base from the building to the tower

⇒x=100/tan(40°) = 119,18 m

2) From the measure of 30°, you can write

tan(30°) = y / 119,18, where y is the height from the roof of Jill's building to the top of the tower.

Then, y = tan(30°) * 119,18 = 68,81 m

3) The height of Jill's building is 100 - 68,81 = 31,19 m

When the height of the tower is 100 meters, the height of Jill's apartment building is 31.19m

How to calculate the height?

Let the base from the building to the Rowe be represented by x. Based on the information given, the value will be:

x = 100/tan 40°

x = 119.18m

The height can be represented as:

= 100 - [tan30° × 119.18]

= 100 - 68.81

= 31.19m

Learn more about height on:

https://brainly.com/question/73194

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A bag contains two red marbles, two green ones, one lavender one, five yellows, and six orange marbles. HINT [See Example 7.] How many sets of four marbles include one of each color other than lavender?

Answers

Answer: 120

Step-by-step explanation:

Given: A bag contains two red marbles, two green ones, one lavender one, five yellows, and six orange marbles.

The total number of marbles in the bag : 2+2+1+5+6=16

Now, the number of ways of selecting sets of four marbles include one of each color other than lavender is

[tex]\( C(2,1) \times C(2,1) \times C(5,1) \times C(6,1)=2 \times 2 \times 5 \times 6\)=120[/tex]  [[tex]\because\ C(n,1)=n[/tex]]

Hence, the number of sets of four marbles include one of each color other than lavender = 120

Solve for x. 60 10 20 120

Answers

Answer:

Hey there!

We have the angle is equal to half the measure of the arc of 120 degrees. (Just another rule for circles)

7x-10=0.5(120)

7x-10=60

7x=70

x=10

Hope this helps :)

Answer:

x = 10

Step-by-step explanation:

Tangent Chord Angle = 1/2 Intercepted Arc

7x-10 = 1/2 ( 120)

7x -10 = 60

Add 10 to each side

7x -10+10 = 60+10

7x = 70

Divide by 7

7x/7 = 70/7

x = 10

Which one of the following would most likely have a positive linear correlation coefficient?
A. temperature of a refrigerator compared to the number of items inside of it
B. amount of money spent on baby food as a child ages
C. length of a driveway compared to number of cars owned
D. distance driven in a car compared to the hours spent driving

Answers

Answer:

D

Step-by-step explanation:

In this question, we are to select which of the options best answer the question.

What we are dealing with in the question is the coefficient of correlation. We want a correlation. coefficient that is positively linear.

Correlation talks about the extent of agreement between the data points involved.

So basically, what we want here are the two terms that are mostly related to one another.

A has no relationship between the two quantities. There is actually no relationship between a refrigerator’s temperature and the number of items in the refrigerator.

B , all things being equal, when a child ages , the amount spent of baby food decreases.

This shows a kind of negative correlation between the two terms

C basically has no relationship between the term/. The number of cars owners does not dictate the length of the driveway.

D. Yes, we have a positive linear relationship here. The longer you drive, the longer the distance covered.

If a and b are rational numbers and 5 +2 root 3/7+4 root3=a-b root 3;then a and b=

Answers

Answer:

           [tex]\bold{a=5\,,\quad b=-4\frac27}[/tex]

Step-by-step explanation:

[tex]5+\frac{2\sqrt3}7+4\sqrt3=5+\frac27\sqrt3+4\sqrt3=5+4\frac27\sqrt3=5-(-4\frac27)\sqrt3[/tex]


Tins of milk each of volume 77cm^3 and weight 170g
were packed into an empty carton of volume 1540cm^3
and weight 5ooo g.

How many tins of milk can be packed to fill the carton ?
What is the weight of the carton when packed with the tins of milk?

Answers

Answer:

1.  20 tins of milk

2.  Weight of the Carton = 8,4kg ot 8400g

Step-by-step explanation:

Given

Volume of a Tin = 77cm³

Weight of a tin = 5000g

Volume of Empty Carton = 1540cm³

Weight of Empty Carton = 5000g

Calculating the number of tins of milk

To do this, we have to make use of the given volumes;

And this is done as follows;

[tex]Number = \frac{Volume\ of\ Empty\ Carton}{Volume\ of\ a\ Tin}[/tex]

Substitute  77cm³ for Volume of a Tin and 1540cm³ for Volume of an Empty Carton

[tex]Number = \frac{1540cm^3}{77cm^3}[/tex]

[tex]Number = 20[/tex]

Hence, 20 tins of milk will filled the empty carton

Calculating the weight of the Carton after filled with tins of milk

This is calculated as thus;

Total Weight = Weight of Empty Carton + Weight of Tins of Milk

Substitute 5000g for Weight of Empty Carton

Total Weight = 5000g + Weight of Tins of Milk

_________________________________________

Calculating Weight of Tins of Milk

Since 20 tins of milk will fill the empty carton, the

Weight of Tins of Milk = 20 * Weight of 1 Tin of Milk

Weight of Tins of Milk = 20 * 170g

Weight of Tins of Milk = 3400g

_________________________________________

Substitute 3400g for Weight of Tins of Milk

[tex]Total\ Weight = 5000g + 3400g[/tex]

[tex]Total\ Weight = 8400g[/tex]

In Kilograms:

[tex]Total\ Weight = 8.4kg[/tex]

A school wants to plant some trees in 53 rows. The Gardener bought 15019 saplings from nursery. How Many least number of saplings should he bring more so that each number of trees_? ​

Answers

Answer:

33

Step-by-step explanation:

15019 / 53 = 283 R20

53 − 20 = 33

He needs 33 more trees so that every row can have the same number of trees.

If the lengths of the legs of a right triangle are 3 and 10, what is the length of the hypotenuse?

Answers

Answer:

a = √109 or 10.44

Step-by-step explanation:

To find the hypotenuse we use Pythagoras theorem which is given by

a² = b² + c²

where a is the hypotenuse

So we have

a² = 10² + 3²

a² = 100 + 9

a² = 109

a = √109 or 10.44

Hope this helps you

Answer:

10.4

Step-by-step explanation:

if you apply the changes below to the quadratic parent function f(x)=x^2.which of these in the equation of the new function? shift 1 unit right ,vertically stretch by a factor of 3,reflects over x-axis

Answers

Answer:

Transformed   [tex]\,\,f(x)= -3\,(x-1)^2[/tex]

Step-by-step explanation:

The process of shifting the graph of the function 1 unite to the right can be obtained by subtracting 1 to the x-coordinate in the expression of the function:

[tex]f(x)=x^2\\new\,f(x) =(x-1)^2[/tex]

The process of stretching vertically the function, would be accomplished by multiplying now the full function by "3":

[tex]new \,\,f(x)= 3\,(x-1)^2[/tex]

the reflection over the x-axis is obtained by multiplying the full function by the constant "-1":

[tex]new \,\,f(x)= -3\,(x-1)^2[/tex]

Please answer this question now in two minutes

Answers

Answer:

20

Step-by-step explanation:

use the cos or sin function to solve

Step-by-step explanation:

using 30°

we use cos

cos 30 =10√3/UU = 10√3/Cos30 =20cm

using 60

we use Sin

Sin 60=10√3/UU = 10√3/Sin60 = 20

2. Ravi purchased an old house for Rs. 76.5000 and
spent Rs. 115000 on its. Then he sold it at a
gain of 5%. How many
much did he get.​

Answers

Answer:

Rs. 924000.

Step-by-step explanation:

Cost of  house = 765000

Additional money spent on it = 115000

Total cost incurred by Ravi = 765000 + 115000 = 880000

Gain  = 5% of total cost

gain in Rs = 5/100 * 880000 = Rs. 44000

Total selling price of house = total cost incurred + profit = 880000+ 44000

Total selling price of house = Rs. 924000

Thus, Ravi got  Rs. 924000.

A pair of dice is rolled. What is the probability that the sum is 9 or that the first number is a 2? Please show you're work!

Answers

Answer:

5/18

Step-by-step explanation:

There are 36 possible outcomes

There are 6 with a 2 as the first roll

There are 4 with a sum of 9

P( sum is 9 or that the first number is a 2)

                        =  sum is 9 or that the first number is a 2/total

                           ( 6+4) / 36

                          =10/36

                           =5/18

The slope of the function ƒ (x) = 8 - 2x is _____. 2 - 2 8 -8

Answers

Answer:

-2

Step-by-step explanation:

your equation is

f(x) = -2x+8

-2x

-2 is the slope

Answer:

The slope is -2

Step-by-step explanation:

Rewriting f(s) as y

y = -2x+8

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -2x+8

The slope is -2

write the sum of twice a number and eleven as an algebraic expression

Answers

Answer:

2x-11

Step-by-step explanation:

2 x X = 2x + 11

Which equation can be used to solve for m, the greater integer? m(m – 3) = 108 m(m + 3) = 108 (m + 3)(m – 3) = 108 (m – 12)(m – 9) = 108

Answers

Answer:

m(m-3)=108

Step-by-step explanation:

Complete question below:

Two positive integers are 3 units apart on a number line. Their product is 108.

Which equation can be used to solve for m, the greater integer?

m(m – 3) = 108

m(m + 3) = 108

(m + 3)(m – 3) = 108

(m – 12)(m – 9) = 108

Solution

On the number line,

Let

m= larger integer

The integers are 3 numbers apart on the number line, so

m-3=smaller integer

The product (×) of the larger and smaller integers=108

(m)*(m-3)=108

m(m-3)=108

Therefore, the equation that can be used to solve for m, the larger integer is:

 m(m – 3) = 108 

Answer:

its a

Step-by-step explanation:

XD

10. Read the following word problem, then choose which linear equation models the problem.

The length of a rectangle is six feet more than twice the width. The rectangle’s perimeter is 84 feet. Find the width and length of the rectangle.
A. 2w + 6 + w = 84
B. 2(2w + 6) + 2w = 84
C. 2(2w +6) • (2w) = 84
D. (2w + 6) • (w) = 84

Answers

Answer:

D. ( 2w+6). (w)

i tried my best

hope this is the answer

stay at home stay safe

You have $1000 to invest in an account and need to have $2000 in one year. What interest rate would you need to have in order to have this if the amount is compounded weekly? Round your answer to the nearest percent.

Answers

Answer:

[tex]\large \boxed{\sf \ \ 70\% \ \ }[/tex]

Step-by-step explanation:

Hello,

We assume that the year is 52 weeks, and we note r the interest rate we are looking for. The rate is expressed in percent and is annually, meaning that the investment is, after the first week :

   [tex]1000\cdot (1+\dfrac{r\%}{52})=1000\cdot (1+\dfrac{r}{5200})[/tex]

For the second week

   [tex]1000\cdot (1+\dfrac{r}{5200})^2[/tex]

After 52 weeks

   [tex]1000\cdot (1+\dfrac{r}{5200})^{52}[/tex]

and we want to be equal to 2000 so we need to solve:

[tex]1000\cdot (1+\dfrac{r}{5200})^{52}=2000\\\\\text{*** divide by 1000 both sides ***}\\\\(1+\dfrac{r}{5200})^{52}=\dfrac{2000}{1000}=2\\\\\text{*** take the ln **}\\\\52\cdot ln(1+\dfrac{r}{5200})=ln(2)\\\\\text{*** divide by 52 ***}\\\\ln(1+\dfrac{r}{5200})=\dfrac{ln(2)}{52}\\\\\text{*** take the exp ***}\\\\\displaystyle 1+\dfrac{r}{5200}=exp(\dfrac{ln(2)}{52})=2^{(\dfrac{1}{52})}=\sqrt[52]{2}\\\\r = 5200\cdot (\sqrt[52]{2}-1)=69.77875...[/tex]

Rounded to the nearest percent, the solution is 70%.

If you want to double your capital in one year with weekly compounding you need an interest rate of 70% !!

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

4%

Step-by-step explanation:

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