1/4 of a number decreased by three is at least two

Answers

Answer 1

Answer:

¹/₄x - 3 ≥ 2

+ 3 + 3

4(¹/₄x) ≥ 4(5)

x ≥ 20

Step-by-step explanation:


Related Questions

a certain number of two digit is three times the sum of its digit and if 45 added to it the digit will be reversed find the number ?​

Answers

· Author has 184 answers and 67.6K answer views
Let the number be (10 x + y)

Then, 10 x + y = 3 * (x + y) (given)

Or, 10 x + y = 3 x + 3 y

Or, 10 x - 3 x = 3 y - y

Or, 7x = 2 y

Or, x = 2 y / 7 ( Eq. 1)

Also, 10 x + y + 45 = 10 y + x ( given)

Or, 10 x - x = 10 y - y - 45

Or, 9 x = 9 y - 45 ( Eq. 2)

Substituting the value of x from (Eq. 1) in (Eq. 2), we have:

9 * 2 y / 7 = 9 y - 45

Or, (9 y ) - (18 y / 7) = 45

Or, 63 y - 18 y = 315

Or, 45 y = 315

Or, y = 7

From (Eq. 1),

x = 2 * 7 / 7 = 2

So, the number is 10 x + y = (10 * 2) + 7 = (20 + 7) = 27

Answer

Check:

Sum of the digits = 2 + 7 = 9

9 * 3 = 27 ✓

Adding 45 to the number 27, we get 72. So, the digits get reversed.

Does the number line below represent the solutions to the inequality I > -2?

Answers

Step-by-step explanation:

A because the thing on -2 Is that

What is the radius of a circle whose area is equal to the sum of the areas of two circles whose radii are 20cm & 21cm?

Answers

Answer:

29

Step-by-step explanation:

20^2 times 3.14= 1256

21^2 times 3.14= 1384.74

the sum of those two is 2640.74

the square root of that is 29

The radius of the circle is 29 cm.

We have the circle whose area is equal to the sum of the areas of two circles whose radii are 20cm & 21cm.

We have to find the radius of the circle.

Suppose you have to find the radius of a circle whose area is equal to the sum of the areas of two circles whose radii are r and R. How will you approach it?

Let the radius of the circle be x.

We know that the area of the circle is [tex]\pi r^{2}[/tex]. Then -

[tex]\pi x^{2} =\pi r^{2} +\pi R^{2} \\x=\sqrt{r^{2} + R^{2}} \\[/tex]

Now, in the question given to us -

r = 20cm  and R = 21cm  and 'x' denotes the radius of the circle we have to find.

Substituting the values in the above formula, we get -

x = [tex]\sqrt{400+441}[/tex]

x =29 cm

Hence, the radius of the circle is 29 cm.

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Three shipping companies want to compare the mean numbers of deliveries their drivers complete in a day.

The first two shipping companies provided their data from a sample of drivers in a table.

Company C showed its data in a dot plot.


Answer the questions to compare the mean number of deliveries for the three companies.

1. How many drivers did company C use in its sample?


Write your answer in the space below.















2. What is the MAD for company C's data? Show your work.


Write your answer in the space below.















3. Which company had the greatest mean number of deliveries?


Write your answer in the space below.















4. Compare the means for companies A and B. By how many times the MAD do their means differ? Show your work.


Write your answer in the space below.

Answers

Answer:

Step-by-step explanation:

1. the company C used 10 drivers

2.      6 + 7 + 8 + 9 + 10 + 10 + 10 + 12 + 14 + 14 = 100/10. The Mean = 10  

(6- 10) + (7- 10) + (8- 10) + (9- 10) + (10- 10) + (10- 10) + (10- 10) + (12- 10) + (14- 10)

4 + 3 + 2 + 1 + 0 + 0 + 0 + 2 + 4  = 16/10 = 1 6/10

3. The groups that had the most deliveries where group A and B

4. So if there are 6 deliveries of group A and 14 deliveries from group B i think the MAD would be 4

By reading the dot plot,

Number of drivers used by company C in its sample = 10

Mean absolute deviation for company C's data = 2

Company B has the greatest mean number of deliveries.

The mean deliveries of company B is 4 times MAD of company A.

What is dot plot?

Dot plot is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis.

Number of units used in the sample of a dot plot can be calculated by simple counting.

What is mean absolute deviation?

The mean absolute deviation (MAD) is the mean distance between each data value and the mean of the data set.

We are given the sum of each point from the mean. It is 20. Mean absolute deviation can be calculated by dividing this sum by number of observations.

Mean absolute deviation of company C  = 20/10 = 2.

Mean A = 6

Mean B = 14

Mean B - Mean A = 8 = 4 * 2 = 4 times MAD (since MAD =2 for both companies).

Learn more about dot plot here

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PLZ HELP ITS DUE TODAY

Answers

9514 1404 393

Answer:

  x = {-0.44, 1.69}

Step-by-step explanation:

Multiply by the denominator to eliminate the fraction.

  3 = x(4x -5)

  4x^2 -5x -3 = 0 . . . . . subtract 3 and put in standard form

Using the quadratic formula with a=4, b=-5, c=-3, we have the solutions as ...

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-5)\pm\sqrt{(-5)^2-4(4)(-3)}}{2(4)}\\\\x=\dfrac{5\pm\sqrt{73}}{8}\approx \{-0.443, 1.693\}[/tex]

Solutions rounded to hundredths are ...

  x = -0.44

  x = 1.69

_____

A graphing calculator can show the x-intercepts easily, so it works well to write the equation in the form

  f(x) = 0

  3/(4x -5) -x = 0

−3x − 8y = 20 −5x + y = 19 solved by substitution

Answers

Delete as this is the wrong answer. Made a typo in the answer.

Answer:

x = [tex]\frac{-212}{3}[/tex]

y = 24

Step-by-step explanation:

-3x - 8y = 20  .... (1)

-5x + y = 19   .... (2)

What we can do is take the (2) equation

-5x + y = 19

and solve for y by adding 5x to both sides

y = 24

now that we have y we substitute it in for y in equation (1)

-3x - 8(24) = 20

-3x - 192 = 20

we want to solve for x so we need to get its self.

add 192 to both sides

-3x = 212

now we divide both sides by -3. It's going to be a fraction.

x = [tex]\frac{-212}{3}[/tex]

Answer:

x=-4

y=-1

Step-by-step explanation:

-3x-8y=20

-5x+y=19

rewrite for y:

y=19+5x

substitute y

-3x-8(19+5x)=20

-3x-152-40x=20

-3x-152-40x+152=20+152

-43x=172

-43x/-43=172/-43

x=-4

substitute x

-5(-4)+y=19

20+y=19

y=-1

check:

-3(-4)-8(-1)=20

12+8=20

-5(-4)+-1=19

20-1=19

Express the decimal 0.43 as a fraction in its simplest form.

Answers

Answer:

Step-by-step explanation:

43/100 or  43%

-3+4x-10=1/2x

Please HELP

Answers

Answer:

x=26/7

Step-by-step explanation:

what does it mean when you cancel out the variables and you have a solution like 5=5?

Answers

Answer:

Then you have infinite solutions

Step-by-step explanation:

if no solution, you would get sum lyke 4 = 5

if infinite soltution you would get sum lyke 3 = 3

if you have one solution, expect to get sum lyke x = 5

It says find the measure of each angle indicated

Answers

Answer:

110 = x

Step-by-step explanation:

the ? and 40º have to sum to 150º because angle d is an exterior angle

mya bought some pizza for $12 each . f p represents the number of pizza she bough , what expression shows the total amount she spent ?

Answers

Answer:

Step-by-step explanation:

f(p)=12p

Answer:

12p

Step-by-step explanation:

Since each pizza costs $12 dollars and "p" represents how many pizzas she bought, you multiply 12 by "p" to get the total amount of money that she had spent.

solve for y . help anyone ?

Answers

Step-by-step explanation:

[tex] \sin(60) = \frac{y}{10} \\ y = 5 \sqrt{3} [/tex]

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Number 3 is C number 4 is c

will give brainliest find h :)

Answers

Answer:

I don't know I'm really really sorry now can you give me a

16 X plus 3X squared minus 2X -19+ 1X squared

Answers



12.26794919 I think

factored form for x^2 + 8x + 3​

Answers

x = [-b +- sqrt(b^2-4ac)]/2a

Answer:

x = [-b +- sqrt(b^2-4ac)]/2a

Step-by-step explanation:

List the steps to calculate the slope/rate of change using a calculator.

Answers

Is this what you’re talking about

just answer the multiple-choice pls

Answers

Answer:

its B

Step-by-step explanation:

The answer i think is B :))

Please help me answer this question of Fractional Linear Equations. I provided the example of how to do it in case you forgot/don't know how to anymore. I'll give out brainliest. Thank youu

Answers

15 = ½ (7x-6)

distribute ½ into parentheses

15 = ½(7x) - ½(6)

15 = ⁷/₂x - 3

multiply by 2

30 = 7x -6
subtract +6 to both side

30 + 6 = 7x

36 = 7x

devide 7 to both side

36
------ = x
7

How many solutions does the system have?
8x + 2y = 14
8x + 2y = 4

Answers

Answer:

0 solutions

Step-by-step explanation:

8x + 2y = 14

8x + 2y = 4  

4 not equal to 14

WILL GIVE BRAINLIEST!
Translate the following verbal expression into a variable expression.
Eight divided by the sum of a number and three.

Answers

Answer:

8÷(x+3)

Step-by-step explanation:

it doesnt specify what number you add with 3 so you substitute it with a variable such as x.

The sum is adding so x +3 and then divide by 8

8 / (x+3) would be the variable expression

Hi guys can you answer my math question​

Answers

Answer:

(a) 7 + 4 = 11

(b) 1 + 3 + 5 = 9

(c) (7 x 2) + 1 = 15

(d) (7 x 2) - 1 = 13

(e) 13 - 9 = 4

Step-by-step explanation:

(a) 5 + 4 = 9

(b) 7 + 1 + 11 = 19

(c) 25 = 12 + 12 + 1

(d) 7 = 4 + 4 - 1

(e) 13 - 11 = 2

Jack had $200 when he got to the festival. He spends $4 per ride. The equation T = 200 – 4R models his amount of money. If he has $100 left how many rides did he go on

Answers

Answer:

25

Step-by-step explanation:

Given the equation :

T = 200 - 4R

T = amount of money left ; if T = $100

R = number of rides

$100 = 200 - 4R

$100 - $200 = - 4R

-$100 = - 4R

R = 100/ 4

R = 25

25 rides

Find an exponential function that passes through (2, 16) and (6, 256) with an asymptote
y=0.

Answers

Answer:she's a freshmen leave her alone anime girl before senpai comes for ya >_<

Step-by-step explanation:

help due in 10 min ????

Answers

Answer:

7 x 7 x 7

Step-by-step explanation:

When raising a number or expression to an exponent, you are really just multiplying the number or expression by itself.

That means 7³ is 7 multiplied by itself 3 times.

7 x 7 x 7

Hope this helps!

Proving lines parallel determine the value of X

Answers

when both l and m are parallel then

(4x+7) = (6x-63)

-2x = -70

-x = -70/2

-x = -35

x = 35

hope it helps and ur day will full of happiness

HELP PLZ DUE IN 15 MIN!

Given: ΔFGH ≅ ΔWAX. Complete the following statements.


Segment GH ≅ Segment ??


∠W ≅ ∠ ??

Answers

Answer:

Step-by-step explanation:

GH =~ AX

<W =~ <F

Answer:

Given:

ΔFGH ≅ ΔWAX

Corresponding sides or angles are congruent

Segment GH ≅ Segment AX∠W ≅ ∠ F

at a concert 20% of the people were there to see the opening act the rest were there to see The Beatles. There were 4,820 there to see The Beatles what was the total number of people that attended the concert ​

Answers

Answer:

5784

Step-by-step explanation:

Because 20 percent of 4820 is 964 and then you add 4820 and 964 to get 5784 :)

what are the answers to these?!?!?!?>>>>>
2(y−3)=4 (solve for "y")
2x+5y=10 (solve for "x")
6x+3y=4y+11 (solve for "y")
3(2x+4)=2+6x+10 (solve for "x")
y=−3x+6 (solve for "x")
m=8−2(p−m) (solve for "p")

Answers

1) y=5

2) x=(10-5y)/2

3) y=(11-6x)/-3

4) x=0

5) x=(-y+6)/3

6) p=(8+m)/2

which point represents the solution to the system
3x-2y=12
2x+2y=3

a. (2,-2/3)
b. (3,-3/2)
c. (3,-2)
d. (2,2)

please explain how you got your answer.

Answers

Answer:

b

Step-by-step explanation:

[tex]3x - 2y = 12 \\ 2x + 2y = 3 \\ 2y = 3 - 2x \\ 3x - (3 - 2x) = 12 \\ 3x - 3 + 2x = 12 \\ 5x = 15 \\ x = 3 \\ 2y = 3 - 6 = - 3 \\ y = - \frac{3}{2} [/tex]

(3, -3/2)

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