HELPP! this is my second time uploading this question:,,)

George tells you that when variables are in the denominator, the equation
2/3+5/x=8/9 becomes unsolvable. George explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." Demonstrate to George how the equation is still solvable and explain your reasoning.

Answers

Answer 1

Answer:

X can equal 22.5

Step-by-step explanation:

I've set up the equation below:

[tex]\frac{2}{3} +\frac{5}{x} =\frac{8}{9}[/tex]

With this equation, as any addition equation goes, we assume it to be like this:

A +  B = C

so

C - A = B

that means,

[tex]\frac{8}{9} -\frac{2}{3} =\frac{5}{x}[/tex]

The easiest thing to do is to make 2/3 have the same denominator as 8/9, we do this by...

[tex]\frac{2}{3} *\frac{3}{3} = \frac{6}{9} \\[/tex]

So...

[tex]\frac{8}{9} -\frac{6}{9} =\frac{2}{9} =\frac{5}{x}[/tex]

We now know that 5 over x equals 2 over nine. We can determine x by cross multiplying as follows:

[tex]\frac{5}{x} =\frac{2}{9} \\2x = 45\\x=22.5[/tex]

So, x is 22.5, making the equation indeed solvable.

Have a nice day, fam. This problem really worked my brain! Spread The Love.


Related Questions

PLEASE help it’s due today at 10pm

Answers

Sorry bro its past 10pm now, hope you figured it out

The function ƒ(x) = 2x − 1 indicates:

a downward shift of 1 unit.
a shift of 1 unit to the left.
an upward shift of 1 unit.
None of these choices are correct.

Answers

Answer:

the function f(x) = 2x - 1 indicates:

a downward shift of 1 unit

as the y-intercept: (0, -1)

A car is traveling at a constant speed of 60 miles per hour. Complete the table below to the distance that the car travels in hours.

Answers

Answer:

The value for the first one is “d= 60t”
because that’s how much the car travels per hour.
The values for the second question is “450=60t” because 450 is the amount of miles the car traveled in total, and again the 60 is how many miles the car travels per hour.

Hope this helped!

Kenneth started saving for retirement at age 40 with plans to retire at age 70. He invested an average of $400 per month in various securities, with an average annual return of 7% adjusted for inflation. Assuming monthly compounding, how much has Kenneth saved at the start of retirement.
A. $487,988.40

B. $720,421.84

C. $37,784.31

D. $556,559.8​

Answers

Answer:

487,988.40

Step-by-step explanation:

I took the test

Find the volume of the cylinder.
Either enter an exact answer in terms of T or use 3.14 for T.
8

Answers

Answer: V= 100.48 m^3 or in terms of Pi V = 32 π m^3

Step-by-step explanation:

V = πr^2h

V = π(2)^2(8)

V = π(4)(8)

V = 100.48

or

V = π (4)(8)

V = 32 π m^3

help plzzzzz! it's math and I'll give 30 points ​

Answers

Answer:

[tex]\sqrt{45}[/tex]

Step-by-step explanation:

Hi there,

In order to solve this problem, you have to know the Pythagorean Theorem:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

We can see from the graph that line segment ML and LN are 6 and 3 units respectively. Since we know the lengths of two sides of the triangle, we can use the theorem above to find the hypotenuse (MN).

⇒ [tex]6^{2}[/tex] + [tex]3^{2}[/tex] = [tex]c^{2}[/tex]

⇒ 45 = [tex]c^{2}[/tex]

⇒ c = [tex]\sqrt{45}[/tex]

Hope this explanation helps. Cheers.

help please . thank you

Answers

PLEASE DONT USE THAT LINK


Find the area of the shape shown below.

Answers

Answer:

55 units²

Step-by-step explanation:

square = 25

triangle = 30

both = 55

A pattern of ordered pairs is shown.

(0, 1), (2,4), (4,7), (6, 10)

The pattern continues. What is the eighth ordered pair in the pattern?

A. (8,13) B. (14, 18). C. (14, 22) D. (16, 19)​

Answers

Answer: C

Step-by-step explanation:

X’s are going by +2 and y’s by +3

After identifying the pattern, its eighth ordered pair is: (14, 22), option C.

--------------------------

The ordered pairs given are: (0, 1), (2,4), (4,7), (6, 10)

From them, we can see that for each new ordered pair, x increases by 2, and y increases by 3.Thus, the next ordered pairs are: (8, 13), (10, 16), (12, 19), (14, 22).The eighth ordered pair is given by (14,22), option C.

A similar problem is given at https://brainly.com/question/16599038

In this problem a,b,c and d are nonzero integers. If a/b is added to x, the sum is c/d. Which statement can be used to prove that x must be a rational number.

A= x=cb-ad/bd B= x=cb+ad/bd C= x=c-a/d-b D= x= c+a/d-b

Answers

Answer:

x=cb-ad/bd

Step-by-step explanation:

The statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd

Prove of rational number

Given nonzero integers:

a, b, c, d

If a/b is added to x

a/b + x

the sum is c/d

a/b + x = c/d

prove x to be a rational number

a/b + x = c/d

subtract a/b from both sides

a/b + x - a/b = c/d - a/b

x = c/d - a/b

x = (cb - ad) / bd

Therefore, the statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd

Learn more about rational number:

https://brainly.com/question/12088221

solve for x
3x - (8-x) = 47

Answers

x=13.75 in decimal form

No files no links or you’re going to get reported I’m giving 10 points so all I need is someone to help me

Answers

1) 9x + 13 = 17x - 15
13 = 8x -15
28 = 8x
x = 3 1/2
Answer- A

2) barrel a; 5x+20
barrel b; 4.25x+32
Equal barrel weight: 5x+20=4.25x+32
5x=4.25x+12
0.25x=12
x=48
Answer: 48 shovels of dirt will make the two wheel barrels equal

can someone please explain i am having a hard time with the math homework​

Answers

Answer:

x= -1

Step-by-step explanation:

you have five of the bigger pieces and 6 of the smaller pieces and you have to get to a one. I plugged in the awnser choices and one worked for me

Please help, 15 points

Answers

Answer:

The answer is 10.

Step-by-step explanation:

The equation you are given is in slope-intercept form or y=mx+b where m is the slope and b is the y intercept.  Your equation is y=10x, so the slope or m is 10.

What is the slope of the line passing through points (2, 1) and (5, 7)?

Answers

Answer:

(3, 6)

Step-by-step explanation:

(x1, y1) and (x2, y2)

x2 - x1, y2 - y1

(x*, x*)

(2, 1) and (5, 7)

5 - 2, 7 - 1

(3, 6)

15 is 9 than j what is j in this question

Answers

Answer:

6

Step-by-step explanation:

15 is 9 more hence you subtract 9 from15

Hope this helps

Help me with this ASAP

Answers

Answer:

2 to the power of 2 times three to the power of 2

3 to the power of 2 times 5 to the power of 2

6 to the power of 2 times 7 to the power of 3

7 to the power of 2 times 5 to the power of 3

3 to the power of 2 times 5 to the power 2 times 7 to the power of 2

Step-by-step explanation:

Based on the samples collected if there are 10000 voters in the town how many voters can we predict will vote for smith

Answers

The question is incomplete and a question match couldn't be found online. However, an hypothetical solution will be provided

Answer:

Kindly check explanation

Step-by-step explanation:

We can make prediction about a population based on the outcome of a sample statistic.

From a random sample of voters, n ; the number who voted Smith = x

(p = x / n) gives the proportion of votes Smith will get according to the sample :

For instance :

n = 100 ; x = 10

p = 10 / 100 = 0.1

The predicted Number of votes Smith will Get if there are 10000 voters :

p * 10000

0.1 * 10000

= 1000 votes

Lorenzo reads at a rate of 45 words per minute. If he reads at a constant rate, how many words can he read in 6 minutes?

Answers

Answer:

270

Step-by-step explanation:

45 * 6 = 270

He determined that the value of 6 in 76,345 is 100 times the value of 6 in 34,675. Part A: Is Lucas right? Part B: Explain why Lucas is right or wrong.

Answers

Answer:

Lucas is not right.

Step-by-step explanation:

To find: whether the value of 6 in 76,345 is equal to 100 times the value of 6 in 34,675

Solution:

Value of 6 in 76,345 = 6,000

Value of 6 in 34,675 = 600

Now 6000 = 10 × 600

So,

Value of 6 in 76,345 is equal to 10 times the value of 6 in 34,675.

Therefore, Lucas is not right.

Answer:

Part A: Lucas is wrong.

Part B: The value of 6 in 76,345 is 6,000 and  the value of 6 in 34,675 is 600.

Part C: The value of 6 in 76,345 is equal to 10 times the value of 6 in 34,675.

10 × 600 = 6,000

Step-by-step explanation:

I put this on each of my answers and I got all three parts correct. Hope this helps you!!!!

Please mark my answer as the Brainiest!!!!!

Thank You!!!!!!!!

Cockroaches can digest a wide range of substances, which makes them a(n) _____.
A.specialist species
B.generalist species
C.keystone species
D.indicator species

Answers

Answer:

specialist species

matt and anglela have 40$ together angela has 5more$ than matt how much
money does matt have

Answers

Matt has 17.5 dollars because Angela has 22.5 dollars and together that is 40 dollars

Please help me it’s due in 1 hour

Answers

Answer:

There were 39 children at the party

Step-by-step explanation:

Here, we want to know the number of children at the party

To do this, we have to add the y-values ( frequencies of the age grades)

We have this as;

8 + 8 + 7 +10 + 6 = 39

Who can solve and attach a pic so I can write down how I got the answer

Answers

do NOT click on that file! it’s a virus :( ^

Find the radius of the button

Answers

radius is half of diameter
d=28
28/2=14

radius =14

Answer:

the radius is 14

Step-by-step explanation:

... ....ur welcome.........

since the diameter of it is 28 the radius is half of it

help me pls i give brainliest

Answers

Answer:

Decreased I think because they bumped into the other person

Step-by-step explanation:

Answer:

increased

 i just heard my brother say it because he's in highschool. TwT

PLZ HELPPP MEEEE
Combine the radicals

Answers

Answer:

C) [tex]17\sqrt{13}[/tex]

Step-by-step explanation:

[tex]-2\sqrt{13} +19\sqrt{13} \\\\17\sqrt{13}[/tex]

A cylindrical can has a diameter of 8 inches and a height of 12 inches. Find the volume of the can, in cubic inches, rounded to the nearest whole number.

Answers

Answer:

The rounded answer would lead you to 603.

If this is wrong in sorry.

The volume of the cylinder will be  [tex]V=602.88\ In^3[/tex]

What will be the volume of the cylinder?

Given that

The diameter d=8 inches r= 4 inches

The height of the cylinder h=12 inches

the volume of the cylinder will be

[tex]V= \pi r^2h[/tex]

[tex]V=\pi\times (4)^2\times 12[/tex]

[tex]V=602.88\ Inch^2[/tex]

Thus the volume of the cylinder will be  [tex]V=602.88\ In^3[/tex]

To know more about the Volume of cylinders follow

https://brainly.com/question/23935577

Could you guys help me please?​

Answers

Answer:

1: 115

2: 65

3: 115

4: 65

5: 143

6: 37

7: 28

8: 152

what is the answer please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The mean of the following set of fractions is D. 22/75

Answer:

22/75

Step-by-step explanation:

To find the average add up the values and divide the sum by the number of values.

Rewriting all values as fractions, rewriting any negatives if necessary and, setting up as an addition problem

=1/2+1/5+1/5+1/10+7/15

The least common denominator (LCD) is: 30.

Rewriting as equivalent fractions with the LCD:

=15/30+6/30+6/30+3/30+14/30

Rewriting numerators over the common denominator,

=15+6+6+3+1430

Totaling the numerator:

=44/30

Reducing the fraction:

=22/15

Dividing by the number of values: 5

22/15÷5=22/15×15=22/75

Average of the fractions is:

Average=22/75

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