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.

♥️♥️♥️♥️♥️


Related Questions

pls answer the following. put them in order from least to greatest:
1.6, 1.6071, 1.08, 1.008.

Answers

Answer:

1.008

1.08

1.6

1.6071

Step-by-step explanation:

least to greatist

NEED HELP PLZ WILL GIVE BRAINLIEST IF CORRECT!

Answers

Answer: The line is horizontal

Step-by-step explanation:

The slope of a line can be thought of as 'rise over run. ' When the 'rise' is zero, then the line is horizontal, or flat, and the slope of the line is zero. Put simply, a zero slope is perfectly flat in the horizontal direction. The equation of a line with zero slope will not have an x in it

a large water bottle holds 32 fluid ounces which is 0.946353 liter. round this decimal to the nearest thousandth. explain how you rounded the decimal

Answers

Answer:

0.946 liter

Step-by-step explanation:

Here, we are told to round 0.946353 to the nearest thousandth.

The nearest thousandth is simply the third value after the decimal point.

Now to successfully round this number, we need to consider the number after this number. If the number is less than 5, then we round it up as zero and add to the thousandth digit.

in the case where the fourth number is higher than or equal to 5, we turn it to 1 and add it to the thousandth number

In the case of this question however, we can see that the number is less than 5, so we can only round to 0 and this does not affect the thousandth digit .

!!!HELP !!!! MEEE ITS DUE SOON !!!!

Answers

Answer is B, if a linear pair is 180 degrees and 73+107 is 180 that is a linear pair.

how do you find the range for a continuous graph

Answers

Answer:

The independent quantity is normally plotted on the horizontal (x) axis - which means that the points in the x coordinate are the domain. Since the dependent quantity is normally plotted on the vertical (y) axis, the y-coordinates make up the range.

i hope this helped

Step-by-step explanation:

Sam screen prints custom t-shirts. He spends $320 each month for the paints he needs to make the shirts. He has found he can purchase quality plain shirts for $9.00 each. He screen prints the shirts and sells them at a local thrift shop for $24.00 each. The thrift shop charges him $100 per month to rent. How many shirts does Sam have to sell each month in order to break even?

Answers

Given parameters:

Cost of paint per month = $320

Cost of quality plain shirts  = $9 each

Selling price  = $24

Rent per month  = $100

Unknown:

Number of shirts Sam has to sell to break even  = ?

Solution :

 Let the number of shirt sold each month  = y

To break even the cost price per shirt must be equal to the selling price;

   i.e;

      Cost price  = selling price at break even point;

Cost price = Cost of paint + Cost of quality plain shirt + Cost of rent

                  = 320 + 9y + 100

                  = 420 + 9y

Selling price =  24y

To break even;

                      420 + 9y  = 24y

                      420  = j24y - 9y

                      420 = 15y

                          y  = [tex]\frac{420}{15}[/tex]  = 28

To break even, Sam must sell 28 shirts in a month.

Which of the following expressions is equivalent to 1/3 ÷ 3/4

A 1/3 x 3/4

B 3/1 x 3/4

C 3/1 x 4/3

D 1/3 x 4/3​

Answers

The right answer is D 1/3x4/3

Which measure of center is shown in a box plot? mean, median, mode, range

Answers

Answer:

B: Median

Step-by-step explanation:

edg2020

Answer:

B

Step-by-step explanation:

The product of 8 and the sum of a number x and 14
Algebraic Expression

Answers

Answer:

8(x+14)

Step-by-step explanation:

Answer:

8x+112

Step-by-step explanation:

8(x+14) = 8x+112

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound.

How many pounds, p, will it take for UPS and FedEx to cost the same? What is the cost? Write and solve an equation to show your work.

Answers

Answer:

1. 20 pounds

2. $11

Step-by-step explanation:

To set this up, you have to use a system of equations. It would look like this, where [tex]p[/tex] is pounds and [tex]t[/tex] is total cost:

UPS: [tex]t=7+0.20p[/tex]

FedEx: [tex]t=5+0.30p[/tex]

In order to solve a system of equations you must either a.) graph it, or b.) set them equal to each other.

If you graph it, the answer is where the two lines intersect.

If you set them equal to each other, solve it.

I will set them equal to each other in this:

[tex]7+0.20p=5+0.30p[/tex]

The first step in a problem like this, where there's the same variable on both sides, is to subtract the smaller variable from both sides. In this case, it is  [tex]0.20x[/tex]. That would turn the equation into:

[tex]7=5+0.10p[/tex]

After that, you must solve it like a regular two-step equation.

Start by subtracting 5 from both sides:

[tex]2=0.10p[/tex]

Now, you must divide both sides by [tex]0.10[/tex].

[tex]\frac{2}{0.10}=\frac{0.10p}{0.10}[/tex]

That would give us:

[tex]20=p[/tex]

This means that in order for the prices to be the same, the package must be 20 pounds.

Now in order to find the total cost, you must plug 20 into one of the equations. It doesn't matter which, since they both equal the same. I will plug it into the FedEx equation:

[tex]t=5+0.30(20)[/tex]

Now you can just use a calculator and solve that or do it by hand. Multiply 0.30 by 20, to get 6, then add 5, which equals 11.

You should get: [tex]t=11[/tex].

This means that the total cost, when the costs are the same for both FedEx and UPS, is $11.

Any help with this plz!!! <33

Answers

Answer:

A = 37°B = 63°C = 16°

Step-by-step explanation:

The tangent function relates an angle to the measures of its adjacent and opposite sides. The inverse tangent (arctan) function can be used to find the angle from its tangent value.

  Tan = Opposite/Adjacent

   angle = arctan(opposite/adjacent)

A = arctan(3/4) ≈ 37°

B = arctan(2/1) ≈ 63°

C = arctan(2/7) ≈ 16°

Order the expressions from least to greatest.
22 x 5
111
82 – 60

Answers

Answer:

82 - 60, 22 × 5, 111

Step-by-step explanation:

Solve the expressions:

22 × 5 = 110111 = 11182 - 60 = 22

Order the expressions from least to greatest:

The third expression has the least value, so it is firstThe first expression has the next greatest value, so it is secondThe middle expression has the greatest value, so it is last

Write out the expressions from least to greatest:

82 - 60, 22 × 5, 111

Can anyone help me out with this one?

Answers

Answer:

HEy, dont every do tht

Step-by-step explanation:

Answer:

The value of X is 72

Step-by-step explanation:

corresponding angles

i have a question on ratios​

Answers

Answer:

What is your question?

7.
You are buying t-shirts for the members of the math club. Each short-sleeve t-shirt costs
$10 and each long-sleeve t-shirt costs $17. If you purchase x short-sleeve t-shirts and y
long-sleeve t-shirts, write an equation to represent the total cost of the purchase.

Answers

Answer:

10x +17y=c (C is the total cost)

Answer:

10x+17y = z

Step-by-step explanation:

You have to multiple 10 by the number of t shirts you have(x)

Then you have to multiply 17 by the number of long sleeve shirts you have (y)

You then have to add 10x and 17y to get your total cost(z)

Item 3
Find (12y−1)+(−10y+7).

Answers

Answer:

2y+6

Step-by-step explanation:

NEED YOUR HELP ASAP!!​

Answers

Answer:

$1.67

Step-by-step explanation:

To find out the price per pound, you need to find the unit price.

15/9 = $1.67/1

Simply divide both numbers by 9.

The expression xy3 has a positive value.

What must be true of the value of x if y is negative?

Answers

Answer:

x should be positive

Step-by-step explanation:

Error Analysis: Find, describe & correct the error that a student has made while solving the equation: LaTeX: 4=-2\left(x-3\right)4 = − 2 ( x − 3 ) Step Number Equation 1 LaTeX: 4=-2\left(x-3\right)4 = − 2 ( x − 3 ) 2 LaTeX: 4=-2x-64 = − 2 x − 6 3 LaTeX: 4+6\:=\:-2x\:-\:6\:+\:64 + 6 = − 2 x − 6 + 6 4 LaTeX: 10\:=\:-2x10 = − 2 x 5 LaTeX: \frac{10}{-2}=-\frac{2x}{-2}10 − 2 = − 2 x − 2 6 LaTeX: -5=x

Answers

Given:

[tex]4=-2\left(x-3\right)[/tex]

To find:

The error that a student has made while solving the equation.

Solution:

We have,

[tex]4=-2\left(x-3\right)[/tex]

Using distributive property, we get

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

[tex]4=-2x+6[/tex]

Subtract 6 from both sides.

[tex]4-6=-2x+6-6[/tex]

[tex]-2=-2x[/tex]

Divide both sides by -2.

[tex]1=x[/tex]

The value of x is 1.

In step 2, the distributive property is not used properly because when -2 is distributive with -3 then we get 6 instead of -6.

Therefore, the student has made error in step 2.

Which algebraic expression is equivalent to this expression?

3(2x − 8) – 11x

A.
-5x – 8
B.
-17x – 24
C.
-17x – 24
D.
-5x – 24

Answers

Answer:

the answer is d

Step-by-step explanation:

Answer:

[tex]\huge\boxed{D.\ -5x-24}[/tex]

Step-by-step explanation:

[tex]3(2x-8)-11x\qquad|\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(3)(2x)+(3)(-8)-11x=6x-24-11x\qquad|\text{combine like terms}\\\\=(6x-11x)-24=-5x-24[/tex]

16 + 7h = 2 what does that equal too?

Answers

16 + 7h = 2
7h = 2-16
7h = -14
h = -2

Answer:

h = -2

Step-by-step explanation:

16+7h = 2

subtract 16 from BOTH sides

7h = 2-16

simplify

7h = -14

divide BOTH sides by 7

h = -2

Solve for :
2(6 - 2x) + 3x = 4 + 2(5 + x)

Answers

Answer:

12-8 +3 = 4 + 10 +3

Step-by-step explanation:

2(6 - 2x) + 3x = 4 + 2(5 + x)

12-4x+3x=4+10+2x

12-x=14+2x

12=14+3x

-2=3x

-2/3=x

a rectangle has a width of 2x + 1 and a length of 6X which expression describes this area​

Answers

Given parameters:

Width  = 2x + 1

Length = 6x

Unknown:

Expression for the area = ?

Solution:

The area of a rectangle is the space it occupies,

        Area of rectangle  = length x width

Input the parameter and solve;

       Area of rectangle  = 6x(2x + 1)

                                       = 12x² + 6x

The area of the rectangle is 12x² + 6x

PLEASE HELP!!

Which graph shows a reflection of the rectangle across the horizontal dotted line?

Answers

Answer:

B

Step-by-step explanation:

The answer is B because if its being reflected its like symmetry horizontally

Sorry if this made no sense :c

Have a good day!  

The correct option is Option D: The figure in Option D is reflection about the dotted horizontal line.

What is reflection?

Reflection is the geometrical transformation of the figure about an axis, without changing the size and shape of the image in which every point is at same distance from the axis as in the reflected image.

Here the original image is in the 2nd quadrant.

the reflection axis is horizontal and situated in the 3rd and 4th quadrants.

So by reflecting about that axis without changing the size and shape of the image for which the distance of the original image from the axis will be equal to the distance of the reflected object from the axis.

As original image is in the 2nd quadrant the reflected will be drawn at the 3rd quadrant opposite to the original image.

Checking all the options only in Option B and option D have the reflected image at the 3rd quardant. But in Option B the reflected image is situated on the reflection axis which is against the rule of reflection.

Therefore The correct option is Option D: The figure in Option D is a reflection about the dotted horizontal line.

Learn more about reflection

here: https://brainly.com/question/1908648

#SPJ2

Write the equation of a line that is perpendicular to y= 3x-2 and that passes through the point (-9,5)

Answers

Answer:

Ans: y = (-1/3)x + 2

Step-by-step explanation:

Perpendicular lines have slopes whose product is -1.  The slope given in

y = 3x - 2

is -3.

The slope of the perpendicular line will be m, and m needs to satisfy the equation

3 * m = -1

Hence m = -1/3.

Our perpendicular line is thus

y = (-1/3)x + b

for some constant b.

We are told that the perpendicular line goes through the point (-9,5).  If so, then the following must hold:

5 = (-1/3)(-9) + b

= 3 + b

b = 2

Ans: y = (-1/3)x + 2

Haley can read 5/8 pages in 2/3 minutes how many pages can she read in one minute

Answers

Given parameters:

Number of pages Haley can read = [tex]\frac{5}{8}[/tex] pages

Time to read the pages = [tex]\frac{2}{3}[/tex] min

Unknown:

Number of pages that can be read in 1 min = ?

Solution:

To solve this problem let us find Haley's rate;

       Rate  = [tex]\frac{Number of pages Haley can read}{Time }[/tex]

 Input the parameters and find the rate;

     Rate  = [tex]\frac{5}{8} / \frac{2}{3}[/tex]

     Rate  = [tex]\frac{5}{8} x \frac{3}{2}[/tex]

      Rate = [tex]\frac{15}{16}[/tex] pages/min

Now that we know the rate;  

   In 1 min; number of pages Haley can read;

               Number of pages  = Rate x time

                Number of pages  = [tex]\frac{15}{16}[/tex]  x   1  = [tex]\frac{15}{16}[/tex][tex]\frac{15}{16}[/tex] pages

Haley can read pages [tex]\frac{15}{16}[/tex]  in 1 minute.

PLEASE HELP I WILL GIVE BRAINLIEST




1+1

Answers

I THINK THE ANSWER IS FISH

7. Identify the appropriate mixed number for the picture shown.
O A. 1²
O B. 3
C. 244
O D. 2 ½

Answers

The answer for this question is D because you have 2 full squares and then one half of square so 2 1/2.

my question is,

$6.79 for 32 oz.

Answers

Answer:

What am i supposed to figure out

Step-by-step explanation:

Answer:

YOU HAVE TO FIGURE OUT HOW MUCH IT IS FOR 1 MAN

Step-by-step explanation:

need help with the question

Answers

M1 is 30 degrees
And
M2 is 60 degrees
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