How many Solutions does 6 + x/5 = x/5 - 5 - 3x/10 have?

Answers

Answer 1

9514 1404 393

Answer:

  1 solution (x = -36 2/3)

Step-by-step explanation:

  6 + x/5 = x/5 - 5 - 3x/10 . . . . . . . given

  60 +2x = 2x -50 -3x . . . . . . . . . multiply by 10

  3x = -110 . . . . . . . . . . . . . . . .  add x-60 to both sides

  x = -110/3 = -36 2/3 . . . . . .divide by the coefficient of x

There is one solution to the equation.

_____

Additional comment

The coefficient of x on the left side of the equation is not equal to the coefficient of x on the right side. When that is the case, the equation will have one solution.

When the coefficients are equal, there will be no solutions if the constants are different, and there will be infinite solutions if the constants are the same.


Related Questions

Billie bikes 9 miles in 45 minutes. At this rate, how many miles can he bike in 90 minutes?

Answers

Answer:

18 miles

Step-by-step explanation:

9 miles : 45 minutes

? miles : 90 minutes

45 x 2 = 90 minutes

9 x 2 = 18 miles

Write an equation for the nth term of the arithmetic sequence −3, 2, 7, 12, Then find a50.
The equation is =___

Answers

Answer:

Pretty much f(n)=-3+5n-1

Step-by-step explanation:

for the 50th term 242

Help help help pls!

How do i do this, pls i need help asap-​

Answers

Answer:

Step-by-step explanation:

Hola

9. The height of a triangle is 3 inches less than twice the length of its base. If the total area
of the triangle is 7 square inches, then find the lengths of the base and height.

Answers

Check the picture below.

[tex]\textit{area of a triangle}\\ A = \cfrac{1}{2}bh~~ \begin{cases} A = area\\ b = base\\ h = height\\[-0.5em] \hrulefill\\ A = 7\\ h = 2b - 3 \end{cases}\implies 7 = \cfrac{1}{2}b(2b-3)\implies 7=\cfrac{b(2b-3)}{2} \\\\\\ 14 = b(2b-3)\implies 14 = 2b^2-3b\implies 0 = 2b^2-3b-14[/tex]

[tex]0 = (b+2)(2b-7)\implies\blacktriangleright b= \begin{cases} -2\\ \frac{7}{2}~~\textit{\large \checkmark} \end{cases}\blacktriangleleft \\\\\\ \stackrel{\textit{we know that}}{h = 2b - 3}\implies h = 2\left( \frac{7}{2} \right)-3\implies h = 7 - 3\implies \blacktriangleright h = 4 \blacktriangleleft[/tex]

on a photograph an ant is enlarged at scale 25:1 In the photo the ant leg is 15 cm what is the actual length of the ants leg

Answers

Answer:

0.6 cm

Step-by-step explanation:

15/25=0.6

Answer:

0.6 Is the answer

Step-by-step explanation:

Hope this helped ¬∪ω∪¬

Solve the system. Estimate the solution first. Enter whole numbers for the estimated solution and
improper fractions in simplest form for the algebraic solution.

6x + y = 2
1 x - 4y = 2

The estimated solution is (__,__)

Answers

Answer:

using substitution method you'll be able to get the value of x then after finding x

What is the scale factor of the dilation?

Answers

Step-by-step explanation:

Scale Factor (Dilation) The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs. Hope this helps :)

Classify the quadrilateral, Explain your reasoning. Thank you!!

Answers

Answer: y=7, x=2

Step-by-step explanation:

∠Q+∠P=180° (∠s between 2 // lines)

97°+(12y-1)°=180°

12y-1=83°

12y=84

y=7

5x+6=8x (Iso triangle)

x=2

can you please help me

Answers

Answer:

84000

Step-by-step explanation:

just searched it up plus you have to multiply it

Determine the greatest common factor of the numbers 24 and 56

Answers

Answer:

8

Step-by-step explanation:

yw :)


What is the slope of the line y = -4?

Answers

The slope should be m= 0

29 years ago, James put some money into a savings account with 8% interest compounded quarterly (4 times a year). He just remembered it and saw that there was now $7328 in it. Find the original amount he invested.

Answers

Answer:

$0.97

Step-by-step explanation:

7328*100/108^(4*29)

a bunch of math later, with rounding...

0.97

*note-may be wrong

There are 54 students in a speech contest. Yesterday, 1/3 of them gave their speeches. Today, 2/3 of the remaining students gave their speeches. How many

Answers

Answer:

18 student gave there speech yesterday

36 students gave there speech today

Step-by-step explanation:

54 total

54 * 1/3 = 18 student gave there speech yesterday

54*2/3 = 36 students gave there speech today

Hope this helps!

(Please mark ask brainiest)

Thanks!

150-5r is greater than or equal to 87.5
Find the value of r?

Answers

Answer:

R=12.5

Step-by-step explanation:

What does cross-sectional mean

Answers

Answer:

exposed by making a straight cut through a solid form, especially at right angles to an axis.

"the cross-sectional area of the wood"

or

constituting a typical or representative sample of a larger group.

"a cross-sectional survey of high school students"

ig

Round 909.09 to the nearest hundredth

Answers

Answer:

909.1

The 0 behind the decimal point is the tenth, so the digit behind the 0 is the hundredth, we round the 9 upward Which would be ten, so the ten would become 1 tenths making it be, 909.1

3. 13.2 -0.006

How would you show the work

Answers

Answer:

13.194

Step-by-step explanation:

  13.2

-   0.006

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

Just add zeros on the part where there are no numbers

  13.200

-    0.006

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

    13.194

pick a number, any number.

If it's even, divides it by 2. If it's odd, multiply it by 3 and add 1. Now repeat those steps again with your new number. Eventually, if you keep going, you'll eventually end up at 1 every single time
(please help me)

Answers

Answer: 1

Step-by-step explanation:

1 x 3 + 1=4

4/2=2

2/2=1

the same thing happens again,

1 x 3 +1=4

4/2=2

2/2=1

therefore the number is 1 when I first started

Answer: If this is a True or False Question the Answer is False

Step-by-step explanation:

Why? because if you pick -1 (negative one) the answer will always be negative.

Find the product.
-8x5y2 · 6x2y

-8x10y2

-8x7y3
-48x7y3

-48x10y2
Find the product.
(3a4 + 4)2

6a4 + 8

9a8 + 16
9a8 + 24a4 + 16

9a16 + 24a4 + 16

Answers

Answer:

4 better explanation inbox

Step-by-step explanation:

Mr. Peate is building a rectangular fence around his house. The fence will be 32 feet long and 29 feet wide. What will be the perimeter of the fence? The perimeter will be ?​

Answers

Answer:

112

Step-by-step explanation:

32*2+29*2=112

Please any math experts helps thank you

Answers

Answer:

[tex]\frac{t^2-16}{t^2-8t+16}[/tex]

We can factorise the numerator which the difference of squares formula:

[tex]x^2-y^2=(x+y)(x-y)[/tex]

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

[tex]\frac{t^2-4^2}{t^2-8t+16} =\frac{(t+4)(t-4)}{t^2-8t+16}[/tex]

Next, factorise the denominator:

[tex]\frac{t^2-4^2}{t^2-8t+16} =\frac{(t+4)(t-4)}{(t-4)^2}[/tex]

[tex]\frac{(t+4)(t-4)}{(t-4)(t-4)}[/tex]

Cancel out the common factor of (t-4):

[tex]\frac{t+4}{t-4}[/tex]

Subtract a4 + 4a²b2 – 2b^4 from –3a^4 + 5a²b2 + 2b^4 - Your answer should be a polynomial in standard form.​

Answers

Answer:

4a^4-4b^4-5a^2b^2

Step-by-step explanation:

find common variables and subtract/add

a^4+3a^4=4a^4

-2b^4-2b^4=-4b^4

0-5a^2b^2=-5a^2b^2

apply

4a^4-4b^4-5a^2b^2

A parabola can be drawn given a focus of (-11, -4) and a directrix of x=11. Write the equation of the parabola in any form.

Answers

Answer:

Step-by-step explanation:

This will open to the left and the vertex will be at (0, -4).

Equation us (y + 4)^2 = -4*-11x

44x = (y + 4)^2

The distance between Kathmandu to Hetauda is 86 km. convert the distance from km into meter (m).​

Answers

1km is equivalent to 1000m,Accordingly,86 km is equivalent to 86000m

Answer:

86000 meters

remeber:   1km = 1000m

so.....

86 x 1000 = 86000 right?? ;-;

2) Subtract and simplify. 11 7\10 − 7 3\10 =

Answers

Answer:

4 2/5

Step-by-step explanation:

     11 7/10

-      7 3/10

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

      4 4/10

4 4/10 = 4 2/5

which inequality represents this graph

Answers

Answer:

it would be the first one!

Answer:

z ≥ -10, which is the first answer.

Step-by-step explanation:

As you can see, on the graph there is a point filled in with a line pointing to the right. That would mean the sign would be ≥, as Z is GREATER than or EQUAL TO.

-
3-(2n + 5)
3 + (2n + 5)-1

Answers

Answer:

I think it's 3n+7

                 -------

                 3n+8

Step-by-step explanation:

a patient is prescribed motrin 800mg, 1 tablet 3 times daily. What would the days supply be for 30 tablets?

Answers

Based on the number of tablets to be taken per day, the days supply for 30 tablets would be 10 days.

The patient is to take a tablet 3 times a day which means that they are to take:

= 1 x 3

= 3 tablets daily

If they have 30 tablets, this will last:

= Number of tablets / Tablets per day

= 30 / 3

= 10 days

In conclusion, it will take 10 days for the tablets to run out.

Find out more at https://brainly.com/question/13043215.

What is the weight of a dry substance in 150 g of a 3% substance solution?

Answers

4.5 g 56.25 g Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So 150 g * 3% = 150 g * 0.03 = 4.5g For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution. First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution: 3/8 * 150 g = 56.35 g Or calculate it from scratch, like 4.5/X = 8/100 450/X = 8 450 = 8X 56.25 = X In both cases, the result is that you desire 56.25 grams of 8% solution.

Simplify: 5 + p > 3
p < 8
p < -2
p > 8
p > -2

Answers

Answer:

[tex]p>-2[/tex]

Step-by-step explanation:

[tex]5+p>3\\\\5+p-5>3-5\\\\p>-2[/tex]

Answer:p < -2

Step-by-step explanation:

Other Questions
difference between condensed milk and evaporated milk It is about a Japanese American experience during world war 2 and after.What are the two main points/reasons you will be offering to support this focus?Point/Reason 1: Point/Reason 2: this activity, you will practice finding the side lengths and angle measures of various right triangles when given limited Information. Go to theght triangle solver e, and complete each step below. This activity will require careful planning of your calculations before you complete them.sure to think ahead..Generate a new problem for each of the problem types listed in the table. You'll be choosing the unknown (what you're solving for) and themethod to generate the problem. If the problem onscreen does not fit the required type, click the New Problem button until you get aproblem that does fit. The program will determine when you've properly constrained a problem and then give you a relevant equation. At this point, review theinformation that you're given for the triangle and enter it in the appropriate column. Then enter the correct values into the equationonscreen by clicking on the correct parts of the triangle. Finally, determine your result. Solve for the unknown and enter your solution in the input window provided onscreen. Then paste ascreenshot of your solution in the table. Every triangle in this section is a right triangle, so you can assume that one of the angles of each triangle equals 90 as part of your giveninformation Underline and correct ONE mistake in each sentence1.They are nice mans 2.My aunts doesn't like cooking3.When i'm thirsty, i drink a lot of waters4.My favourite day are Saturday and sunday5.Our parent don't live far from us give the intersection points of y=x^5 and y=x^7 PLEASE SOMEONE HELP MEEEEEEEEE! Match these words to the right place asap asnwerrrrrrrrrrrrrrrrrrrrrrrr Each state had onlystates also kept their own powecame together for issues relateforeign countries.4. IDENTIFYING POINTSOF VIEWUnderline the details thatconfirm the idea that each stateguarded its state sovereignty atthe expense of national power.Then, in a small group explainwhy this attitude might lead toproblems for the United States.Be sure to build on others'ideas and to express your ideasclearly. After the discussion,write your viewpoint in threesentences or less. In ABC, mA = 75 and mC = 20, What is mB? A representative who is performing the role of an instructed delegate is: Solve the equation for x:4x2 + 15x = 4Show steps please Write the balanced chemical equation for the following reaction. Also, classify thereaction as sythesis, decomposition, single replacement, double replacement, or combustion.aluminum sulfate + barium chloride > aluminum chloride + barium sulfate Social studies: Write a summary of the gold rush in United States(10 lines) What is the value of looking at belief systems through both frames What is the slope of this line?151555Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 5 comma 3 end ordered pair 2 Which of the following would result in arotation 360 counterclockwise about theorigin? (x,y) - (-Y. -x) (x, y) - (-y, x)(x, y) - (-x, -Y)(x,y) - (x, y) Together, Sierra and Gavin earned $5,404. Sierra earned four-seventhsof the money What is the value for x if 2x+3=20 that makes the equation true The reaction is at dynamic equilibrium. N2 + 3H2 2NH3Which statement is correct?(1 point)The solution has the same concentrations of nitrogen gas and ammonia.The solution has the same concentrations of nitrogen gas and ammonia.Nitrogen and hydrogen combine at the same rate that ammonia breaks down.Nitrogen and hydrogen combine at the same rate that ammonia breaks down.The solution has the same concentrations of nitrogen and hydrogen gases.The solution has the same concentrations of nitrogen and hydrogen gases.Both directions of the reaction have stopped.Both directions of the reaction have stopped. What is the y- intercept of a line that has a slope of 2 and passes through (-1,3)?