If a number added to five is divided by the difference of the number and two, the result is three-fourths. Find the number.

Answers

Answer 1

Answer:

x = - 26

Step-by-step explanation:

Let the number be x.

According to the question,

[tex]\frac{x+5}{x-2} = \frac{3}{4}\\[/tex]

Cross multiplying 4 & 3 gives :-

[tex]4(x+5)=3(x-2)[/tex]

And solving this eqn. gives :-

[tex]4(x+5)=3(x-2)\\=> 4x+20=3x-6\\=>4x-3x=-20-6\\=>x=-26[/tex]

Verification :-

(putting the value of x = -26 )

[tex]\frac{x+5}{x-2} \\\\=>\frac{-26+5}{-26-2} \\\\=> \frac{-21}{-28} \\\\=>\frac{21}{28}[/tex]

Reducing  [tex]\frac{21}{28}[/tex]  by 7 gives  [tex]\frac{3}{4}[/tex] .


Related Questions

A rental company charges $40 a day and 30 cents a mile for renting a truck. Michael rents a truck for 5 days, and his bill comes to $314. How many miles did he drive?

Answers

40 x 5 = 200

314 - 200 = 114

114 / 0.3 = 380

So, he drove 380 miles.

Sorry if I misunderstood

Please give brainliest

Have a good day :)

If U is between T and B. Draw and find the value of “x” and then the measure of TU. Enter TU into the answer box. ROUND TO THE NEAREST TENTH! TU = 4x, UB = 8x - 32, TB = 97 please help meee

Answers

Please help me too this hard

Simpify the expression. -2(y + 3) -7y

Answers

-2y-6-7y
-9y-6
I hope that this helps!

30°25'45" into second ​

Answers

Answer:

109545

Step-by-step explanation:

              Formula

multiply the time value by 3600

Hope this helps

plz mark brainlest

1-2: Translate into an algebraic expression.
1. The product of a number, n, and -7.

Answers

Answer:

n+(-7)= choose a letter to replace it with the sum

Which number is irrational?
A.
19
B.
V10
C.
V16
D
25
E.
136

Answers

Answer:

v10

Step-by-step explanation:

Mary and Jane have $48 to share in the ratio 3:5. How much did each girl 2 points
receive? (SHOW WORKING)​

Answers

Answer:

Mary- $18

Jane- $30

Step-by-step explanation:

Add the numbers in the ratio together to get 8, and multiply 8 by the variable of x. Divide the total amount of money that both girls earned by 8. You will get x=6. Multiply 6 by 3 to get the amount of money Mary earned, which is 18, and multiply 6 by 5 to get the amount of money Jane earned, which is 30.

x(3+5) = $48

3x + 5x = $48

8x = $48

8x/8 = $48/8

x = $6

3($6):5($6) = $18:$30

Answer:

Mary = $18

Jane = $30

Step-by-step explanation:

The first thing you need to do is find out how much each part is.  To do that you need to add each side of the ratio together (3 + 5 = 8).  THen you set up an equation showing the 8 parts * x = 48 and solve for x.

8x = 48

x = 6 <--  Value of each part

Now you multiply the 6 by the number on each side of the ratio,

Mary = 3 * 6 = 18

Jane = 5 * 6 = 30

The above is your answer.

HELP ME PLZZZZZZZZ HELP

Answers

Answer:

Step-by-step explanation:

Bob's deal : 11/10= 1.1 dollars per bagel

Danny's bagel=3/4=0.75 dollars per bagel

Danny's deal is better the price is lower

2- fraction : 11/10>3/4

1.1>0.75 the lower the price the better

3- Danny's deal is better because the price of 10 bagels=7.5 dollars

2c+7k=t-2 solve for c

Answers

Answer:

c = (t - 2 + 7t) / 2

Step-by-step explanation:

We can isolate c, getting 2c = t - 2 + 7t.

Then, we can divide both sides by 2, getting c = (t - 2 + 7t) / 2.

help please, little confused.....................................

Answers

Answer:

3(3) + 0.75(2) = (3 + 0.75)x

Step-by-step explanation:

The cost per pound of the mixture is the total cost divided by the total weight.

3 lb granola at $3 per lb has a cost of 3(3)

0.75 lb of raisins at $2 per lb has a cost of 0.75(2)

The total cost is 3(3) + 0.75(2)

The mixture has an unknown cost per lb, so we call it x.

When you multiply the cost per lb of the mix by the total weight, you get the total cost.

Total weight of mix: 3 + 0.75

Cost per lb of mix: x

Total cost of mix: (3 + 0.75)x

Above, we know the total cost is 3(3) + 0.75(2)

We set these two amounts equal to get our equation.

3(3) + 0.75(2) = (3 + 0.75)x

Answer: 3(3) + 0.75(2) = (3 + 0.75)x

what digit in the thousands place in the decimal 5765.903

Answers

Answer: 5

Step-by-step explanation:

5765.903

going backwards-in front of the decimal -5 ( ones place) 6 (tens place) 7 ( hundreds) 5 (thousands) .

.9 ( tenths) 0 (hundredths) 3 (thousandths)

Mario has LaTeX: 2\frac{1}{4}2 1 4 pounds of trail mix. He puts equal amounts of the trail mix into 6 bags for a hike with his friends. If he uses all of the trail mix, how many pounds will be in each bag?

Answers

Answer:

0.375 pounds

Step-by-step explanation:

Let the amount of trail mix in each bag be x pounds. If Mario has [tex]2\frac{1}{4}[/tex] pounds of trail mix and puts equal amounts of the trail mix into 6 bags for a hike with his friends, the amount of trail mix in each bag can be derives using the expression;

[tex]2\frac{1}{4} = 6 * x[/tex]

solving for x

[tex]\dfrac{9}{4} = 6x\\\\2.25 = 6x\\\\divide\ both \ sides \ by \ 6\\\\\dfrac{2.25}{6} = \dfrac{6x}{6} \\\\x = 0.375\\[/tex]

Hence 0.375 pounds of trail mix will be in each bag

1+1 is what because I’m really confused on this question and answer is it...idk 4

Answers

Answer:

2

Step-by-step explanation:

1+1=2

when will i know when to add or when to subract

Answers

Answer:

Look below:

Step-by-step explanation:

adding is when u see 6 + 10. the plus sign ( the cross ) means to add. Subtract is using the minus sign: 6 - 10.

Answer:

You will know when to add or subtract because of keywords and symbols.

Step-by-step explanation:

Most addition and subtraction problems have keywords that tell you what operation to use. For example, so keywords that tell you that you have to add are altogether, sum, together, and a few other words. Some examples of subtraction problems are less than, and a bunch of other words.

Hope This Helps :)

Which number below has a 3 that is 1/100 of the value of the 3 in the number 1,376

Answers

Answer:

1,386

Step-by-step explanation:

guessed it in my head

Perform the following operations with the given fraction 2/5 x3/4 =

Answers

Answer: 3/10

Step-by-step explanation:

2/5 x 3/4

2x3=6

5x4=20

6/20

________

Simplify

6/2=3

20/2=10

3/10 Final Answer

write the phrase below as an algebraic expression.


seven less than a number t

Answers

Answer:

t-7

Step-by-step explanation:

On the previous problem, you found a unit rate of ounces per box. Explain how you find a unit rate when given a rate.

Answers

divide the numerator and the denominator of the given rate by the denominator of the given rate. so in this case, divide the numerator and denominator of 70/5 by 5 to get 14/1 or 14 students per class

At a sale, dresses were sold for 95% of their original price. If the dresses originally cost $200 each, how much did a dress cost on sale?

Answers

Turn the percentage into a decimal.

95% / 100 = 0.95

Multiply.

200 * 0.95 = 190

Subtract.

200 - 190 = $10

Therefore, the dress costs $10 on sale.

Best of Luck!

Answer: The answer is 190.

Part 1
Using technology or other resources, research the average distance that each planet is from the Sun
(in kilometers). Once you have found the distance, create a chart showing each planet's distance
from the Sun. The Sun itself will not receive a label since it is your starting point. For example,
Mercury is located an average of 57,909,000 km from the Sun, so on the chart, Mercury would be
labeled with a distance of 57,909,000. Use the chart below to record your answers:(Add rows if
necessary)

Answers

Answer:

Using technology or other resources, research the average distance that each planet is from the Sun (in kilometers). Once you have found the distance, create a chart showing each planet's distance from the Sun. The Sun itself will not receive a label since it is your starting point. For example, Mercury is located an average of 57,909,000 km from the Sun, so on the chart, Mercury would be labeled with a distance of 57,909,000. Use the example of the chart below to help you get started:

Planet Distance from Sun (in Km) Distance in scientific notation

Mercury 57,909,000  5.7909 X10^7

Venus 108.212.290.56  1.0821229056 X10^8

Earth  149,604,618.24  1.4960461824 X10^8

Mars  227,936,640  2.2793664 X10^8

Jupiter  778,412,020  7.7841202 X10^8

Saturn   1,433,442,700.8  1.4334427008 X10^9

Uranus  2,870,972,200  2.8709722 X10^9

Pluto  5,906,380,000  5.90638 X10^9

Step-by-step explanation:

:)

2-3x-5+9x=? Thank you to whoever gets the answer

Answers

Answer:

6x - 3

Step-by-step explanation:

Step 1: Write out expression

2 - 3x - 5 + 9x

Step 2: Combine like terms (x)

2 - 5 + 6x

Step 3: Combine like terms (constants)

-3 + 6x

Step 4: Rewrite

6x - 3

Miguel’s family drove 357 miles on their weekend trip. Their car’s average gas mileage was 25.5 miles per gallon. How many gallons of gas did they use? Round your answer to the nearest tenth of a gallon if necessary.
1.4 gallons
14 gallons
91 gallons
140 gallons

Answers

Answer:

14 gallons

Step-by-step explanation:

357/25.5 = 14

14 gallons

hopefully this helps you :)

pls mark brainlest ;)

Thank you :)

Answer:

14 gallons

Step-by-step explanation:

took the test

Please help! I only need the answer for the first fill-in-the-blank. Click the other picture to see the choices.

Answers

Step-by-step explanation:

side side angle is the best answer

-11 2/3 × (-4 1/5) ​

Answers

Your answer will be 49

A camping ground began with 240 pounds of food and each day consumed about 12 pounds. After how many days did they have 180 pounds left

Answers

Answer:

5 days

Step-by-step explanation:

Set up linear equation; food= 240-12(day) f=240-12d

f(1)=240-12(1)=240-12=228

f(2)=240-12(2)=240-24=216

Now set food to equal 180, solve for days:

180=240-12d

-240  -240

-60=-12d

/-12  /-12

5=d

To check: f(5)=240-12(5)=240-60=180

If you take 240 divided by 12 = 20
Then take 180 divided by 12 = 15
Take 20-15=5 after 5 days they had 180lbs left

Which is the correct inverse function of f(x) = 4x +9?

Answers

Let y = 4x + 9

4x = y - 9

x = (y-9) / 4

f(x) = (x-9) / 4

1/2 the hole power -5​

Answers

Step-by-step explanation:

[tex](\frac{1}{2} ) {}^{ - 5} [/tex]

[tex] \frac{1 {}^{ - 5} }{ {2}^{ - 5} } [/tex]

[tex] \frac{1}{ \frac{1}{32} } [/tex]

[tex] \frac{1}{1} \times \frac{32}{1} [/tex]

[tex]32[/tex]

3x9+7what is the answer

Answers

Answer:

Step-by-step explanation:

First multiply 3x9 and you get 27 and then add 7 to 27

3x9 27

27+7 34

Answer:

34 is the answer

Step-by-step explanation:

1A) When f(n) = 12, what is the value of n?

Answers

Answer:

Can't answer this

Step-by-step explanation:

For this question, I think you need to read more informations, find out the function

After you find out the function,

Replace f(x) as 12 and replace x with n

After that, try to solve it.

Good luck.

Can you help me with this​

Answers

Answer:

12 only.

Step-by-step explanation:

When the question is asking for f(0), it is asking for the value of y when x = 0.

We see that there is only 1 intersection at x = 0, and the y value would equal 12.

Therefore, our answer is 12 only.

Answer:

The answer is a.12 only its where the x coordinate stays 0 and the y coordinate decreases or increases

Step-by-step explanation:

Other Questions
Explain why the concept "individual freedom" of liberal democracy is important using complete sentences. 7y = 21x + 14In the equation shown, what is the value of x when y 4?Give your answer as a fraction. please help me. 5(m-7)=-8(3m+8) 8x - 3(2x - 4) = 3(x - 6) When members of populations do not mate with each other or cannot produce fertile offspring, they are the last words of the Declaration of Independence say." we mutually pledge to each other our lives, our fortunes, and our sacred honor." what did this mean? Question 5 If you add me with another number our sums will be 13, our difference is 1, find us! Who is the Smaller Number?Blank 1: Question 6 If you divide me by 5 and decreace that value by 2, I am 25! What's My Number?Blank 1: Give two examples of the kinds of factors that can help to change a countrys population. Explain your answer in at least two to three sentences. Mr. Adams plans to have a swimming pool built in his backyard. He would like to havea rectangular section and a square section for the design of his poolSwimming Pool- square footWhat is the total area of the swimming pool in square feet?OF) 105 square unitsOG) 26 square unitsOH) 80 square unitsOJ) 56 square units how do you write a domain as an equation? 4x-20=mx-5m. find m At birth, what is the average number of red blood cells permm of blood? Help pllzzzz !! ..... what is the product of a number and 20 is 75 Which of the following statements best sums up a main message in Hiawatha the unifierA. People should not rely too much on divine guidanceB. Diversity in people customs is an obstacle to unityC. People are more powerful when they work together D. Unity must be forced on people by a powerful person When writing a repeating decimal as a fraction, does the number of repeating decimal digits you use matter? Explain. The Mytonomy website was created by Bhargava. Successful students read on a basis. What does the word ethics most closely mean as it The price of an item is reduced by $1.39. The new sale price is $92.44. What is the original price what is the order of technological design