Solve for x using common denominators. 3 over the quantity 5 times the binomial x minus 4 equals x over the quantity x minus 4 −5 over 3 5 over 3 −3 over 5 3 over 5

Answers

Answer 1

Answer:

  (d)  3/5

Step-by-step explanation:

The equation ...

  [tex]\dfrac{3}{5(x-4)} =\dfrac{x}{x-4}[/tex]

can be rewritten so that each side has the same denominator. Then the solution can be found by equating the numerators.

  [tex]\dfrac{3/5}{x-4} =\dfrac{x}{x-4}\\\\\boxed{\dfrac{3}{5} =x}[/tex]

_____

Additional comment

"Equating the numerators" is equivalent to multiplying both sides by the common denominator. Of course, any value of the variable that makes the denominator zero is excluded from the solution set.


Related Questions

A contractor construct to build a house in 30 days. He employed 10 men to build the house. After 20 days. They completed only 1 /3 of the total work. How many more men will be required to finish the remaining work within due time?

Answers

Answer:

30

Step-by-step explanation:

First, we can say that because the men do 1/3 of the work in 20 days,

for 10 men:

20 days = 1/3 total work

Because we need the house built in 30 days, and 20 days have already passed, we only have 30-20=10 days left. Furthermore, 20/2=10, so in our equation of 20 days = 1/3 total work, we can divide both sides by 2 to get

10 days = 1/6 total work

The amount of work we need to get done in 10 days is (all of it) - (1/3 of total work) = 1 - 1/3 = 2/3 = 4/6

Since 10 men can do 1/6 of the work in 10 days, 10*4 =40 men can do 1/6 * 4 = 4/6 of the work in 10 days. This is the amount of work that needs to get done. Therefore, the contractor needs 40 (total workers) - 10 (current workers) = 30 new workers to finish the remaining work in due time

please help me please i will give brainliest

Answers

Answer:

I think It would be A

Step-by-step explanation:

Answer:

i think its A

Step-by-step explanation:

(if its not im sorry :( )

hlpppppp plesaseeeeeeeeeeeeeeeee

Answers

Answer:

50

Step-by-step explanation:

Given,

96 + 2² / 2

96 + 4 / 2

100 / 2

50

Someone explain this I don’t understand

Answers

The answer is x=33.37

Find the place value of 3 in 3546.

Answers

Answer:

that is the thousands place value.

the place value of 3 in 3546.= 3000

George is painting fences at the zoo. It takes 2 2/3 cans of paint to paint each fence. If George paints 9 fences, how much paint will he use?

Answers

Answer: 24 cans

Step-by-step explanation:

Given

George has 9 fence

It requires [tex]2\frac{2}{3}[/tex] cans to paint a fence

So, 9 fence required

[tex]\Rightarrow 9\times 2\dfrac{2}{3}\\\\\Rightarrow 9\times \dfrac{8}{3}\\\\\Rightarrow 3\times 8=24\ \text{cans}[/tex]

9 fence requires 24 cans

** I NEED TO GET THIS RIGHT IM DOING TEST CORRECTION**

point p Is the circumcenter of ABC. point p is the point of concurrency of the perpendicular bisector. Find AS.​

Answers

Answer: ~27.5

Step-by-step explanation:

I don't know about all the geometry terms, but since a line is 180°, and SE makes 1 right angle (90°), the other side is also 90° (180-90=90).

This means you have a right triangle with sides 15 and 23 and unknown hypotenuse AS.

Pythagorean Theorem: a^2 + b^2 = c^2

(15^2) + (23^2) = AS^2

sqrt( 225 + 529 ) = AS

AS = 27.459

Tìm x,y biết x+y=12
2x=3y

Answers

Answer:

x= -12 & y=24

Step-by-step explanation:

given,

x+y=12.......... equation (i)

2x=3y........eq(ii)

let,

x=12-y.......eq(iii)

from eq(ii)

2(12-y)=3y

y=24

putting the value of y in eq(iii)

x=12-24

x= -12

I need help for this question 3 so can anyone help me please

Answers

Bsjsjsjssj jdjsjsjsjsks lłsskj

using appropriate properties , find 7/5 × 5/12 − 3/12 × 7/5 − 1/15

Answers

Answer:

[tex] \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] \frac{7}{5} \times \frac{5}{12} - \frac{3}{12} \times \frac{7}{5} - \frac{1}{15} = \frac{7}{5} ( \frac{5}{12} - \frac{3}{12} ) - \frac{1}{15} = \frac{7}{5} \times \frac{1}{6} - \frac{1}{15} = \frac{7}{30} - \frac{2}{30} = \frac{5}{30} = \frac{1}{6} [/tex]

in parallelogram ABCD the measure of m
A) 82.5
B) 97.5
C) 120
D) 130

Answers

The measure of the angle C is 120°.

Given that the parallelogram ABCD, we need to find the measure of the angle C,

We know that in a parallelogram the opposite angles are equal and the adjacent angles are supplementary,

So,

∠D = ∠B

6x + 6 = 10x - 30

4x = 36

x = 9

So, ∠D = ∠B = 60°

So,

∠C + ∠D = 180°

∠C = 180° - 60°

∠C = 120°

Hence the measure of the angle C is 120°.

Learn more about parallelogram click;

https://brainly.com/question/28854514

#SPJ1

Ferris started to bike the 4 1/3 miles to school. After 3/5 mile, he stoppedto talk to a friend. How mush farther did he have to go to get to school?

Answers

Answer:

3 11/15 miles

Step-by-step explanation:

4 1/3 - 3/5

4 5/15 - 9/15

3 20/15 - 9/15

3 11/15 miles

binomial expansions for clever cookies

Answers

The answers are in the red rectangles with the work.

Let me know if something is unreadable.

Divide 384.085 by 50.5 using the correct number of significant digits. O A) 7.65 OB) 7.6517 O C) 7.652 OD 7.61​

Answers

Answer:

d) 7.61​

Step-by-step explanation:

384.085 ÷ 50.5 = 7.605643

d is the only possible value (u get it when u round up to 3 sf)

Answer:

D) 7.61

Step-by-step explanation:

384.085 d i v i d e d  b y 50.5

                   =  7.61

carly walks 30 feet in seven seconds. At this rate, how many minutes will it take for carly to walk a mile if there are 5,280 feet in one mile?

Answers

Answer:

20.53 minutes

Step-by-step explanation:

Speed = Distance/Time = 30/7

Time = Distance / Speed

= 5280/30/7

= 1232 seconds / 60 = 20.53 minutes

Answered by Gauthmath

Round 2.577681 to four decimal places

Answers

Answer:

2.5777

Step-by-step explanation:

The 6 in "2.577681" is greater than 5, so the value increases by 1.

Independent Practice


Which model is most appropriate for the set of points?

(–2, 5), (–1, –1), (0, –3), (1, –1), (2, 5)


A.
exponential


B.
linear


C.
quadratic

Answers

Quadratic because if you plot it on a graph it will look like a U

i need help plsssssssss

Answers

Answer:

are you look for finaincl loan

Step-by-step explanation:

In the paper airplane shown, ABCD = EFGH, M

Answers

Answer:

it should be 90 I could be wrong

1. A department store kept records of how many fans were sold each day and the high temperature for that day. The results are shown in the scatterplot. Answer the questions about the scatterplot.

a. What is the explanatory variable (independent variable)? (1 point)



b. What is the response variable (dependent variable)? (1 point)



c. Circle the best range for the correlation coefficient. (1 point)
(–1 to –0.7) (–0.7 to –0.3) (–0.3 to 0) (0 to 0.3) (0.3 to 0.7) (0.7 to 1.0)

d. Based on this scatterplot, does a rise in temperature cause more fans to be sold? Why or why not? (3 points)

Answers

Answer:

a. What is the explanatory variable (independent variable)? (1 point)

Number of fans sold.

b. What is the response variable (dependent variable)? (1 point)

Outside temperature.

c. Circle the best range for the correlation coefficient. (1 point)

(–1 to –0.7) (–0.7 to –0.3) (–0.3 to 0) (0 to 0.3) (0.3 to 0.7) (0.7 to 1.0)

d. Based on this scatterplot, does a rise in temperature cause more fans to be sold? Why or why not? (3 points)

Yes because a rise in temperature causes fan sales to go up because people buy fans when it’s hot to cool off.

Step-by-step explanation:

I got it right on AP3X. Hope this helps!

Can someone please help me

Answers

Answer:

- 3

Step-by-step explanation:

As,

- 0.0084

When estimated,

= - 0.008

[tex] = \frac{ - 8}{1000} [/tex]

Then,

[tex] - 8 \times \frac{1}{1000} [/tex]

[tex] = - 8 \times {10}^{ - 3} [/tex]

Here,

Power of ten as observed is -3

s the function represented by the table non-linear?

x
y
6
4
7
2
8
0
9
–2

Answers

All personnel decisions require the approval of the union, _______ the company slow to respond to market changes.

Select one:
A. making
B. will make
C. makes
D. made

form a polynomial whose factors are (x+1) , (x+2) and (x-3)​

Answers

Answer:

x³-7x-6

Step-by-step explanation:

Find the products of the factors

(x+1)(x+2)(x-3)

x²+3x+2(x-3)

x³+3x²+2x-3x²-9x-6

x³-7x-6

PLS HELP MEE

1st equation: a^2 + b^2 = c^2
2nd equation: a^2 + b^2 = n^2

Since the equations for both triangles have a^2 + b^2, you can think of the two equations for c^2 and n^2 as a system of equations. Substitute what a^2 + b^2 equals in the first equation for a^2 + b^2 in the second equation. After you substitute, what equation do
you get?

Answers

Answer:

c² = n²

Step-by-step explanation:

Given the 2 equations

a² + b² = c² → (1)

a² + b² = n² → (2)

Substitute a² + b² = c² into (2)

c² = n²

How many five-digit odd numbers can be formed from the digits 1, 2, 3, 4,and 5 if no digit is repeated?

Answers

Answer:

10

Step-by-step explanation:

the answer is 10 because there are only two odd numbers in here and the best. Even so when you put that in two digit odd number then it'll just be interchangeable those four numbers that aren't at the end of

Answer:

72

Step-by-step explanation:

For a five-digit number to be odd it's one digit must be 1,3,5.

So there can be no repeats of any digits.

Let's look at numbers with one's digit being 1.

There are 4 ways to choose the tabs digit.

After that you can choose the hundreds digit 3 ways.

The thousands digit can then be chosen 2 ways.

Then finally the ten-thousands digit can be chosen 1 way.

4×3×2×1=24

24 odd numbers with one's digit being 1 that are 5 digits long only using 1,2,3,4, and 5 with no repeats.

That means there are 24 odd numbers with one's digit being 3 that are 5 digits long only using 1,2,3,4, and 5 with no repeats.

Also means there are 24 odd numbers with one's digit being 5 that are 5 digits long only using 1,2,3,4, and 5 with no repeats.

3(24)=72

the area of a trapezoid is 21 inches, one of its bases is 8 inches and its height is 3 inches. What is the length of the last base?

Answers

Answer:

6 inches

Step-by-step explanation:

A=b1+b2/2*h

Fill in the equation with what we know

21=8+x/2*3

Isolate x

Quick steps: 21/3=7*2=14-8=6

x=6

A 10-foot ladder rests against a vertical wall. Let x be the distance from the bottom of the ladder to the wall and y be the distance from the floor to the top of the ladder. If the bottom of the ladder slides away from the wall, how fast does the top of the ladder fall down the wall with respect to x

Answers

Answer:

The rate of change of the top of the ladder with respect to x is -x/y

Step-by-step explanation:

The given parameters are;

The length of the ladder = 10 ft.

The horizontal distance of the bottom of the ladder from the wall = x

The distance of the top of the ladder from the floor = y

By Pythagoras's theorem, we have;

10 = y² + x²

Therefore, we have;

x² = 10 - y²

d(x²)/dx = 2·x =  d(10 - y²)/dx = -2·y·dy/dx

∴ 2·x = -2·y·dy/dx

dy/dx = 2·x/(-2·y) = -x/y

Therefore, the rate of change of the top of the ladder with respect to x, dy/dx = -x/y.

A kiddie pool holds 161 gallons of water. One hose can fill the pool in 3 hours while an-
other takes only 2 hours. How long will it take for the pool to be filled if both hoses are
used?

Answers

The first hose pumps out water at a rate of

(161 gal)/(3 h) = 161/3 gal/h

The second hose fills the pool at a rate of

(161 gal)/(2 h) = 161/2 gal/h

Working together, they can fill the pool at a rate of

(161/3 + 161/2) gal/h = 805/6 gal/h

so that it would take

(161 gal) / (805/6 gal/h) = 161×6/805 h = 6/5 h = 1.2 h = 1 h 12 min

to fill the pool.

A P E X fasted answer is getting 30 points please hurry.

suppose a normal distribution has a mean of 98 and a standard deviation of 6. what is p(x ≥ 92)

Answers

Answer:

Step-by-step explanation:

If the mean is 98 and standard deviation is 6, then 92 is one standard deviation to the left of the mean; that means that 34% + 34% + 13.5% + 2.35% + .15% of the data is included in this area. Add those up and you get, as a percentage, 84%.

Answer:

0.84

Step-by-step explanation:

yee its right

Please hurry I will mark you brainliest

Answers

Answer:

D y=2/3 x +1

  y= -3/2 x+2

Step-by-step explanation:

Perpendicular lines have slopes that multiply to -1

The equations are written in slope intercept form

y = mx+b where m is the slope

A 1/5* 5 = 1  not perpendicular

B 2/3 * 3/2 = 1  not perpendicular

C -1/5 * -5 = 1  not perpendicular

D 2/3 * - 3/2 = -1   perpendicular

uhhhh try using caculator
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