Question 5 of 10
Solve the rational equation:
4x/x+5 = x/x+4

Answers

Answer 1

Answer:

[tex] x = 0 [/tex]  or  [tex] x = -\dfrac{11}{3} [/tex]

Step-by-step explanation:

I assume the denominators are x + 5 and x + 4 although that is not what you wrote.

[tex] \dfrac{4x}{x+5} = \dfrac{x}{x+4} [/tex]

[tex] (x + 4)(x + 5)\times \dfrac{4x}{x+5} = (x + 4)(x + 5) \times \dfrac{x}{x+4} [/tex]

[tex] (x + 4)(4x) = (x + 5)(x) [/tex]

[tex] 4x^2 + 16x = x^2 + 5x [/tex]

[tex] 3x^2 + 11x = 0 [/tex]

[tex] x(3x + 11) = 0 [/tex]

[tex] x = 0 [/tex]  or  [tex] 3x + 11 = 0 [/tex]

[tex] x = 0 [/tex]  or  [tex] 3x = -11 [/tex]

[tex] x = 0 [/tex]  or  [tex] x = -\dfrac{11}{3} [/tex]


Related Questions

Please help with math problem?

Answers

Answer:

KM=41.6

Step-by-step explanation:

[tex]\frac{HJ}{IJ} =\frac{KM}{ML} \\\frac{8}{6} =\frac{KM}{31.2} \\[/tex]

Cross Multiply and Solve for KM.

[tex]6*KM=8*31.2\\KM=\frac{8*31.2}{6} \\KM=41.6[/tex]

A teacher has two large containers, A and B, filled with blue, red, and green beads. She wants her students to

estimate the difference (A - B) in the proportion of red beads in each container.

What is the appropriate inference procedure?


• two sample t-test for Ua - Ub

• two sample t-interval for Ua - Ub

• two sample z-test for Pa - Pb

• two sample z-interval for Pa - Pb

Answers

Answer:c

Step-by-step explanation:

edge

Add the quotient of 120 and 3 to the product of 15 and 10.

Answers

Answer:

190

Step-by-step explanation:

quotient: 120/3=40

product: 15*10=150

adding them:150+40=190

Answer:

190

Step-by-step explanation:

quotient: 120/3=40

product: 15*10=150

adding them:150+40=190

The ratio of green marbles to red marbles is 3 to 5. If there are 18 green marbles, how many red marbles are there?

Answers

Answer:

The are 5 marbles

Step-by-step explanation:

51/85 = 3/5 As a result, there are 51 red and 85 green marbles.

Which set of sides will make a triangle?
4 cm, 8 cm, 14 cm
13 cm, 7 cm, 6 cm
6 cm, 15 cm, 6 cm
10 cm, 9 cm, 9 cm
11

Answers

Answer:

6 cm, 15 cm, 6 cm

Step-by-step explanation:

tell me if its wrong

i need help i attached this image

Answers

Answer:

k = -7

Step-by-step explanation:

Find the difference of the y-values of both vertexes:

f(x): y = 1

g(x): y = -6

g(x) - f(x)

-6 - 1 = -7

A cereal box is 9 1/2 inches long, 3 1/2 inches wide, and 12 inches high. What is the volume of the box?

Answers

Answer:

399 cubic inches

Two containers designed to hold water are side by side, both in the shape of a
cylinder. Container A has a diameter of 12 feet and a height of 16 feet. Container B
has a diameter of 16 feet and a height of 13 feet. Container A is full of water and the
water is pumped into Container B until Container A is empty.
After the pumping is complete, what is the volume of water in Container B, to the
nearest tenth of a cubic foot?

Answers

Volume = pi x radius^2 x height
Cyl A = pi x 6^2 x 16
= 1809.6 cu ft
Cyl B = pi x 8^2 x 13
=2613.8 cu ft

You pumped 1809.6 from A to B so volume of water in B is 1809.6 cu ft
Question doesn’t say if B was empty to start?

Does anyone know the correct equation?

Answers

[tex]\bold{ANSWER:}[/tex]
y = 6x + 4

[tex]\bold{EXPLANATIONS:}[/tex]


What is the value of tan x? 3/5 5/4 3/4 4/3 4/5

Answers

Answer:

[tex]\sf \tan(x)=\dfrac{4}{3}[/tex]

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (side opposite the right angle)

From inspection of the diagram:

[tex]\theta[/tex] = xO = 8A = 6H = 10

[tex]\implies \sf \tan(x)=\dfrac{8}{6}=\dfrac{4}{3}[/tex]

[tex]\\ \rm\Rrightarrow tanx=\dfrac{Perpendicular}{Base}[/tex]

Perpendicular=8Base=6

[tex]\\ \rm\Rrightarrow tanx=\dfrac{8}{6}[/tex]

[tex]\\ \rm\Rrightarrow tanx=\dfrac{4}{3}[/tex]

15) A, B, C, D, E and F are towns situated as follows. * A is 30 km east of D * C is 20 km east of E * F is 10 km west of B * D is 10 km south of F * A is 10 km north of C How far would you need to travel to get from B to E?​

Answers

Answer:

Option D: 20km South

Step-by-step explanation:

Lets say A = (0, 0)

Finding B:

A is 30km East of D which makes D = (-30, 0)

D is 10km South of F which makes F = (-30, 10)

F is 10km West of B which makes B = (-20, 10)

Finding E:

A is 10km North of C which makes C = (0, -10)

C is 20km East of E which makes E = (-20, -10)

Finding the answer:

Find distance from B = (-20, 10) to E = (-20, -10)

     1. Cancel equivalent values:

x of B = (-20) and x of E = (-20)

Remove x from equation.

     2. Solve for answer:

B = 10 and E = (-10)

Find the difference: (-10) - 10 = (-20)

Conclusion:

South translates to negative on a graph making the answer 20km South

Hope this helped :)

find the area of the triangle, i will give brainliest
10m
21.8m

[?] m^2 exact answer, do not round

Answers

109
21.8x10=218
218 divided by 2 = 109

What is the roasting time for a
12-pound turkey?

Answers

The roasting time for a 12 pound turkey is 3 hours

Use the digits 1-9 at lost one time each to make the equation true and give the solution.

Please help soon!!

Answers

2-6x=4x-8 and x=1

You solve it by adding 8 to both sides which makes 10-6x=4x then you add 6x to both sides making 10=10x then divide by 10 on both sides and you end up with x=1

Select all that apply.
A+B
C+D
A+D
A+B
B+D
C+D
A+A

Answers

The expression that results in rational number are A+B, A+D, B+D and A+A

What are rational numbers?

Rational number are numbers that include the square root of prime numbers

Given the following parameters

A= √3
B = 2√3C = √25 = 5
D = √16 = 4

We need to determine the operation that will result in a rational number

A + B = √3 + 2√3

A+B = 3√3

A+D = √3 + 4
B + D = 2√3 + 4

A + A = √3 +√3 = 2√3

Hence the expression that results in rational number are A+B, A+D, B+D and A+A

Learn more on rational number here: https://brainly.com/question/12088221

The diameter of a circle is 100 cm. What is the circumference of the circle? (Use 3. 14 for π. )

Answers

Answer:  314 cm

Explanation:

Use the formula C = pi*d

We're multiplying 3.14 by the diameter 100 to get 314, which is the approximate distance around the circle (aka perimeter). The value is approximate because pi = 3.14 is approximate.

Find the area of the kite?

Answers

The correct answer is 108

Solve for x f(x)=x+3 Then find the input when the output is 3

Answers

Answer:

The input(x) is 0

Step-by-step explanation:

x+3=3

x=0

math homework due tomorrow
please help !! :)

Answers

Answer:

if your use a graphing calculator press y= and plug-in equation then press 2nd graph and you'll get a data table, then just plug in the numbers

Step-by-step explanation:

Karim's teacher gives him a book to read and one week to read it. The book has a
total of 560 pages. He reads 130 pages on the first day and 107 pages on the
second. How many more pages does he need to read?

Answers

130+107 = 237
560-237= 323

Karim has 323 pages left to read

Select the FALSE statement about completely random design. a.) Subjects are randomly assigned to treatments. b.) Any number of treatments may be addressed. c.) The additional variables affect different control groups differently. d.) It minimizes the effects of confounding variables.

Answers

Answer:

your answer is A.

Step-by-step explanation:

The false statement about completely random designs is this:  c.) The additional variables affect different control groups differently.

What is the false statement?

The false statement about completely random designs is that additional variables affect different control groups differently. It is however true that in completely random esigns, the subjects are randomly assigned to treatments and any number of treatments may be addressed.

Also, the goal of this type of design is to reduce the effects of confounding variables. So, the correct option number that describes the false statement is C.

Learn more about completely random designs here:

https://brainly.com/question/16911198

#SPJ2

The purchasing habits of 1,000 grocery shoppers are noted. No associalion is found between the variables. Fill in the empty portion of the table with values that would support this claim. Explain reasoning.

Answers

Here is the completed table that shows the purchasing habits of 1000 grocery shoppers :

                                    bought milk   bought no milk       Total

bought eggs                422                   228                     650

bought no eggs              150                  200                    350

Total                               572                428                       1000

What is a two-way frequency table?

A two-way frequency table is used to display data on the frequencies for two categorical variables.

The total number of people who bought eggs = 422 + 228 = 650

The total number of people who bought no eggs = 1000 - 650 = 350

To learn more about two way frequency tables, please check: https://brainly.com/question/27344444

#SPJ1


help plssss
Optimize the equation P = 3x + y using the constraints
x ≥ 0, x ≤ 4, y ≥-1 and y ≤ 5.
What is the maximum?

Answers

Answer:

P = 17

Step-by-step explanation:

let's separate this into x and y components

x component: 3x

as x increases, so does the x component. e.g. 0 * 3 = 0, 4 * 3 = 12. therefore, we want x as high as possible

y component: y

as y increases, so does the y component. this is because the y component is literally just y.

therefore, given these two, to maximize P, we want x and y to be as high as possible

in 0 ≤ x ≤ 4, the maximum of x is 4

in -1 ≤ y ≤ 5, the maximum of y is 5

plug these in to get

3(4) + 5 = 17 as our answer

Answer:

17

Step-by-step explanation:

Help me pls. Ive been dying to solve one of these. Could someone explain

Answers

Answer:

5(10k+1)+2(2+8k)

=50k+5+4+16k

=66k+9 OR 3(22K+3)

(ANSWER)

Answer:

66k + 9

Step-by-step explanation:

The question isn't mentioned, so assuming we need to simplify :

5(10k + 1) + 2(2 + 8k)

Distribute the terms in the parentheses.

5(10k) + 5(1) + 2(2) + 2(8k)50k + 5 + 4 + 16k

Combine like terms.

50k + 16k + 5 + 466k + 9

Find the least positive integer value of p for which the line y = px -2 will meet the curve 4(y - 3) = x².​

Answers

It’s x y-3 -10 that’s the answer

ebrant spends $76 in a gift shop. This is 80% of the money he planned to
spend in the gift shop. How much money, in dollars, did Mr. Hildebrant plan to
spend in the gift shop?

Answers

Answer:

Mr. Hildebrant planned to spend $95 in the gift shop.

Step-by-step explanation:

We want to find 80% of $? equals $76.

We can write an equation to help us solve for x, the money that Mr. Hildebrant planned to spend in the gift shop.

.80x = 76

Divide both sides of the equation by .80.

x = 95

Mr. Hildebrant planned to spend $95 in the gift shop.

Part A


At Fairview Middle School, 75 band members need to raise a total of $8,250 for a trip. So far, they have raised $3,120.

​How much money, in dollars, per band member, still needs to be raised for the trip?


​Enter your answer in the box.









​Part B


The entire band decides to have a concert to raise the money for the trip. Tickets for the concert will cost $7.50 each. A local business agrees to donate an additional $0.50 for each $1.00 in ticket sales to the band for their trip.





What is the least number of concert tickets the band must sell in order to raise the rest of the money needed for the trip?


​Enter your answer in the box.

NEED HELP ASAP

Answers

Answer: 11,370

Step-by-step explanation:

You need to add them all.

can you guys solve these

Answers

Answer:

The answer to picture 1 is C D B A

Step-by-step explanation:

A restaurant bill is $25, and a 20 percent tip should be given to the waiter. Which expression can be used to find the total amount that will be paid?

25 dollars times 0.02

25 dollars times 0.20

25 dollars times 1.20

25 dollars times 2.00

Answers

Answer:

B. 25 dollars times 0.20

Step-by-step explanation:

When finding the percentage, you shift the percentage you want two places to the right. In our case we have 20.00, so shifting the 20 two places to the right would give us 0.20.

Hope this helps!

Purchasing the correctly sized BMX bike is based on the height of the rider. In order to fit a customer, the salesman can use the equation b=0.29h+1.35 where b is the size of the BMX bike frame in inches and h is the height of the rider in inches.

Answers

Answer:

  (a) 1 inch of rider ⇒ 0.29 inches of frame

Step-by-step explanation:

The "slope" in the equation is the coefficient of the independent variable. Here, that variable is "h", and its coefficient is 0.29. That is, the height of the rider is multiplied by 0.29 (and a constant is added) in order to find the height of the frame.

__

The meaning of the value 0.29 is that a 1 inch increase in the rider's height should result in a 0.29 inch increase in the height of the frame of the bike.

The question asks for an explanation of the slope, not its function in the equation. That is why we have chosen the first answer.

Answer: inch of rider ⇒ 0.29 inches of frame

Step-by-step explanation:

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