If three quarters of a number decreased by twenty is equal to eighty two, what is that number?

Answers

Answer 1

A number is :

[tex]x[/tex]

_________________________________

Three quarters of it means :

[tex] \frac{3}{4}x \\ [/tex]

_________________________________

Decrease by 20 means :

[tex] \frac{3}{4}x - 20 \\ [/tex]

_________________________________

Equals to 82 means :

[tex] \frac{3}{4}x - 20 = 82 \\ [/tex]

_________________________________

What is that number ?

x asked so we must solve the above equation for x.

Let's do it....

[tex] \frac{3}{4}x - 20 = 82 \\ [/tex]

Plus sides 20

[tex] \frac{3}{4}x = 82 + 20 \\ [/tex]

[tex] \frac{3}{4}x = 102 \\ [/tex]

Multiply sides by 4

[tex]3x = 102 \times 4[/tex]

Divided sides by 3

[tex]x = \frac{102 \times 4}{3} \\ [/tex]

[tex]x = \frac{102}{3} \times 4 \\ [/tex]

Simplify

[tex]x = 34 \times 4[/tex]

[tex]x = 136[/tex]

So that number is 136 .

_________________________________

And we're done.

Thanks for watching buddy good luck.

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Related Questions

63.7786879082 rounded to the nearest tenth

Answers

Answer:

63.8

Step-by-step explanation:

63.77 so you look at the hundredths 5 or higher round up

63.8 is the required answer

The given number is 63.7786879082, we have to round to the nearest tenth

How to round nearest 10th?

To round the decimal number to its nearest tenth, look at the hundredth number. If that number is greater than 5, add 1 to the tenth value.

63.7786879082

We can see that 100th number i. e 7 is greater than 5, so add 1 to the tenth value

So we get 63.8

To learn more about rounding problems visit the link https://brainly.com/question/19288016

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What is | -5 | ?5


thank you

Answers

Answer:

5

Step-by-step explanation:

the absolute value of every single number known to mankind is the distance from zero and that number. So the absolute value will no matter what always be that number, positive.

What clockwise rotation will create the same image as 70 degree counterclockwise

Answers

Answer:

Duh , 70

Step-by-step explanation:

22x+52=22x+89 no solution indefinitely many solutions one solutions

Answers

Answer:

No solution.

Step-by-step explanation:

22x+52=22x+89  Get rid of the variable first (this makes solving easier).

-22x      -22x

52=89                   The answer comes out as 52=89, but 52 is not equal to 89.

When this happens, there is no solution.

Hope this helps!! Have a great day :D

At Joe's Clown Car Rental Agency, renting a car costs $45 plus $0.75 for every mile it is driven. What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?

Answers

Answer:

y=0.75m+45

Step-by-step explanation:

when you bought the car it was 45, that doesnt change so its a constant

but every mile you drive, it changes, therefore it becomes the dependent or the rate :)

so we just make it into an equation of

y=0.75m+45

where y= the total amount of money owed

and if you wanted to solve for how far the car drove, plug in the 222.5 in for y, as that was the amount owed and solve!

222.5=0.75m+45

177.5=.75m

now divide by .75

m= 236 2/3 miles

hope this helped :))

Helppp I need help ASAP

Answers

Answer:

it would be B

Step-by-step explanation:

the ratio of tomatoes to cheese slices is 18:4 1/2 so that would be 25% of tomatoes.

Find both of them plzzzzz

Answers

Answer:

supplement angle : 107

complement angle : 17

Step-by-step explanation:

supplement :

180 - 73 = 107

complement :

90 - 73 = 17

the population germay is about how many times the population of martinique explain your reasonging

Answers

Answer:

Germany: 8.27*10^7. Martinique: 4.05*10^5.

Can someone please help me on this?

Answers

I think 5 and 2 are linear pairs, 3 and 4 are complementary angles, 1 and 2 are vertical angles, and 5 and 2 are also supplementary angles
I could be wrong but I’m pretty sure!!

There are 13 boys and 17 girls in grade 7.
is the ratio of boys to girls in grade 7​

Answers

Answer: 13:17

Step-by-step explanation: boys:girls

Which points on the number line represent the quotients of these expressions?


12 devided by (-6)
-15 devided by (-3)

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

it has 2 or 3 numbers as the answers
plz answer correctly...

Answers

Answer:

-25

Step-by-step explanation:

Expressions given and solved

12/ (-6) = - 2 -15 / (-3)  = 5

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

-7 -6 -5 -4 -3  |-2|-1 0 1 2 3 4 |5| 6 7

Seth has $10,000 in a savings account that earns 1.5 % annually. How much will he have total after 1 year?

Answers

Answer: $11,500

.............................

Answer:120,000

Step-by-step explanation:

10,000 is how much she make times that by how many months are in a year its 12 months and you get your out come.

Last year the depth of the river was 4.2 feet deep.

This year it dropped 8%.

Find the depth of the river this year
HELP ME PLSS !!!

Answers

Answer:

should be around 3.9 exact answer is 3.864

Step-by-step explanation: subtract the percentage from the original depth

Given and Prove Information
Given: PR = QS
Prove: PQ = RS
Diagram
Proof
Statements
1.PR = QS
2.
3.
4.
5.
6.
7.
Reasons
1. Given
2.
3.
4.
5.
6.
7.
5. What is Statement :
Your answer
6. What is Reason
Your answer
- What is Statement ?
Your answer

Answers

Answer:

I hope this helps you

Step-by-step explanation:

The answer is A

Answer:

I agree the answer is A

Step-by-step explanation:

A = A

A != B

AA = 2A

A = A

PLz Help! ASAP I will mark you brainliest!

Answers

Answer:

#1 A

#3 D

#4 C

GOOD LUCK

Write an equation of the line that passes through point (−3, 8) and has the slope m=−2.

Answers

Answer:

y=-2x+8

Step-by-step explanation:

slope formula is y=mx+b

slope(m)=-2, and y-value(b)=8

so ya just plug in what ya know to get y=-2x+8

The equation of the line that passes through point (−3, 8) and has the slope m=−2 is [tex]y=-2x+2[/tex]

What Is y = mx + c?The slope-intercept form of the equation of the line is represented by the equation y = mx + c. It requires the line's y-intercept and slope value, "m." We must first comprehend the line's slope m and y-intercept in order to comprehend this equation for the line.Slope: The letter "m" stands for the line's gradient or slope. The slope here could be zero, positive, or negative. With reference to the x-axis, the tangent of this line's angle of inclination can likewise be used to compute the slope.Intercept: The term "intercept" in this equation refers to the value "c," which is the line's starting point. The length of the line's y-axis intersection, measured from the origin, is known as the intercept. It can also be thought of as the line's intersection point at (0, c) on the y-axis.The slope formula can be used to create the equation y = mx + c. Here, we choose a random point (x, y) on the line and a point (0, c) on the y-axis. We try to determine the slope'm' of the line using these two points. The slope of the line is equal to the difference between the two points' y coordinates divided by the difference between their x coordinates.m = (y - c)/(x - 0) mx = y - c and m = (y - c)/xy = mx + c So, using the formula for the slope of a line, we can successfully deduce the slope-intercept form of the equation of a line.

Given, x= -3, y = 8 and m = -2

usiny y =mx+c

we get,

8 = -2*-3+c

8 = 6+c

c = 8-6 = 2

Therefore, The equation of the line that passes through point (−3, 8) and has the slope m=−2 is [tex]y=-2x+2[/tex]

To learn more about slope-intercept, refer to

https://brainly.com/question/25722412

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Sorry I just asked another question a few minutes ago
The photo cut off the word equation

Answers

X=1 is the answer because if you simplify the you would get x=1

Answer:

x=1

Multiply both sides by 10 (13)10-0.5(2x-6)*10+2x(10)=17*10Refine 130-5(2x-6)+20x=170Subtract 300 from both sidesSimplify -5(2x-6)+20x=40Expand 10x+30=40Subtract 30 from both sidesSimplify 10x=10Divide both sides by 10Simplify x=1:) Hope you enjoy this :)

Pls help im in the test i’ll give 50 points

Answers

Answer:

I think it's A

Step-by-step explanation:

the point is touches the y axis is 2

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Evaluate the following expression.

6 -1

Answers

Answer:

If I am not mistaken that looks like 6-1 which is 5 but I could be so let my know if I am correct

Step-by-step explanation:

A 4 1/2 pound bag of raisins must be divided equally into 1/4 pound portions for a cooking class. Enter the number of 1/4 pound portions that can be made from 4 1/2 pounds of raisins. ​

Answers

Answer:

18

Step-by-step explanation:

1/4 x 4 1/2 = 18

kkduegvdbdgusjbwvsusokwvrgsubevbeksh

How many eggs are there in 3 5/6 dozen?

Answers

Answer:

check your eggs

Step-by-step explanation:

Justine paid 35.70 for a lego set that was on sale. The original price of the set was $42.00 what is the percentage discount for the cost of the lego set?

Answers

Answer: The lego set is 15% off

clarify each function as a linear function, a linear absolute value function, a quadratic function, or an exponential function

Answers

Answer:

number 2 is linear number 4 is quadratic number 5 is constant

What is the value of k?​

Answers

Answer:

10

Step-by-step explanation:

(4k+5) + (6k+10) = 115

10k+15=115

10k=100

k=10

Answer:

Step-by-step explanation:

(4k+5) + (6k+10) = 115

10k + 15 = 115

10k = 100

k = 10

note: the measure of an ext. angle of a triangle is equal to the sum of the two non-adjacent interior angles.

Will give brainliest!

Answers

Answer:

C

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Line is going uphill so the slope is positive tiv. Then you do rise over run and get 2/3. Hope that helps.

In a fruit basket there are 9 bananas, 4 apples, and 3 plums. For every 3 bananas there is one ________.
Group of answer choices

plum, banana, and apple

plum

banana

apple
6TH GRADE

Answers

Answer:

one apple per 3 bananas

Step-by-step explanation:

if u subtract 3 bananas then u gotta suntract from the rest too so 4-3= 1 apple 3-3= 0 plums

Which point in the graph represents the y-intercept?

Answers

(0,2) represents the y intercept on the graph cause at that point it crosses the y axis

Here' a another graph if someone can please help me solve

Answers

Step-by-step explanation:

hye how are you ☺️ plz follow me I don't know this question sorry

answer question showing work 6 − 4n <− 1 − 4n

Answers

Answer:

There are no solutions.

Step-by-step explanation:

6−4n<−1−4n

Step 1: Simplify both sides of the inequality.

−4n+6<−4n−1

Step 2: Add 4n to both sides.

−4n+6+4n<−4n−1+4n

6<−1

Step 3: Subtract 6 from both sides.

6−6<−1−6

0<−7

-20xp + 15m -35p
Could someone help me

Answers

Answer:

5(-4xp+3m-7p)

Step-by-step explanation:

If the question is to factor the expression as much as possible, that's the answer.

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