If 2 < 20x - 13 < 3. what is one possible value for x?

Answers

Answer 1

Answer:

one possible value for x is 31/40

Step-by-step explanation:

Let's isolate the 20x term.  Add 13 to all three terms:

2 + 13 < 20x - 13 + 13 < 3 + 13

and this simplifies to:

15 < 20x < 16

Dividing all three terms by 20, we get:

15/20 < x < 16/20

A fraction halfway between 15/20 and 16/20 is (31/20)/2, so

one possible value for x is 31/40.

Check by substituting this into the original equation and checking whether that equation is now true:

2 <20(31/40) - 13 < 3

or

2 < 31/2 < 16, or 2 < 15.5 < 16 (this is true, so 31/40 is a solution)


Related Questions

what is the best way to solve 3000098x89756

Answers

Answer:

4444444444444444

Step-by-step explanation:

44444444

Answer:269276796088

Step-by-step explanation:

A body recieves impluse of 24Ns and 35Ns inclined 55° to each other.Calculate the total impulse​

Answers

Answer:

Se determina mediante al auxilio del cálculo integral.

Supongamos una fuerza variable con el tiempo. Entonces el impulso es:

J = ∫F(t) dt, para t entre t y to

Si es variable con la posición o con la velocidad se deberá expresar la integral en términos de la posición o de la velocidad.

Step-by-step explanation:

Solve 4x+6700x=k (solve for k)

Answers

Hope this photo helps

Answer:

k = 6704x

Step-by-step explanation:

4x + 6700x = k

Simplify terms by subtracting or adding.

➡️ 4704x = k

swap both sides of the following equation.1

➡️ k = 6704x, x ∈

I need help ASAP!! Please explain how to solve the problem

Answers

Answer:

Step-by-step explanation:

Surface Area of Cylinder = 2πrh+2πr^2

2π(3)(12) + 2π(3)^2

= 282.7 yd^3

answered by g a u t h m a t h

Plz help me ASAP TwT

Answers

Answer:

Angle CBA

Step-by-step explanation:

It would be CBA because Angle 1 is between those 3 points. Angle 1 is where B is so B would have to go in the middle.

Hope this helps :)

Geometry, please answer question ASAP

Answers

Answer:

option d is the answer if we make this kite such that two triangles form and the use sum of interior angle property then we get the value of x and then multiple it with two

It’s D !!!!!!!!!!!!!!!!

write the following as powers of ten with one figure before the decimal point 1) 100,000 2) 3500​

Answers

Answer:

1) 1 * 10^5    2) 3.5 * 10^3

Step-by-step explanation:

how do i solve n pls help

Answers

Answer:

Improper Fraction-n=96/5     Mixed Number-n=19 1/5

Step-by-step explanation:

Answer:

n = [tex]\frac{96}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{12}{5}[/tex] = [tex]\frac{n}{8}[/tex] ( cross- multiply )

5n = 96 ( divide both sides by 5 )

n = [tex]\frac{96}{5}[/tex]

Find the length of the third side. If necessary, round to the nearest tenth. 5 10 ​

Answers

Answer:

[tex]\boxed {\boxed {\sf 8.7}}[/tex]

Step-by-step explanation:

We are asked to find the length of the third side in a triangle, given the other 2 sides.

Since this is a right triangle (note the small square in the corner of the triangle representing a 90 degree /right angle), we can use the Pythagorean Theorem.

[tex]a^2 + b^2 =c^2[/tex]

In this theorem, a and b are the legs of the triangle and c is the hypotenuse.

We know that the unknown side (we can say it is a) and the side measuring 5 are the legs because they form the right angle. The side measuring 10 is the hypotenuse because it is opposite the right angle.

b= 5 c= 10

Substitute the values into the formula.

[tex]a^2 + (5)^2 = (10)^2[/tex]

Solve the exponents.

(5)²= 5*5 = 25 (10)²= 10*10= 100

[tex]a^2 + 25=100[/tex]

We are solving for a, so we must isolate the variable. 25 is being added to a. The inverse operation of addition is subtraction, so we subtract 25 from both sides.

[tex]a^2 +25-25=100-25[/tex]

[tex]a^2=100-25[/tex]

[tex]a^2 = 75[/tex]

a is being squared. The inverse of a square is the square root, so we take the square root of both sides.

[tex]\sqrt {a^2}= \sqrt{75}[/tex]

[tex]a= \sqrt{75}[/tex]

[tex]a= 8.660254038[/tex]

Round to the nearest tenth. The 6 in the hundredth place tells us to round the 6 up to a 7 in the tenth place.

[tex]a \approx 8.7[/tex]

The length of the third side is approximately 8.7

Perpendicular=P=5Hypontenuse=H=10Base=B=?

Using Pythagorean theorem

[tex]\boxed{\sf B^2=H^2-P^2}[/tex]

Putting values

[tex]\\ \sf \longmapsto B^2=10^2-5^2[/tex]

[tex]\\ \sf \longmapsto B^2=100-25[/tex]

[tex]\\ \sf \longmapsto B^2=75[/tex]

[tex]\\ \sf \longmapsto B=\sqrt{75}[/tex]

[tex]\\ \sf \longmapsto B=\sqrt{25\times 3}[/tex]

[tex]\\ \sf \longmapsto B=5\sqrt{3}[/tex]

[tex]\\ \sf \longmapsto B=5\times 1.732[/tex]

[tex]\\ \sf \longmapsto B=8.66[/tex]

[tex]\\ \sf \longmapsto B\approx 8.7[/tex]

The pair of shoe cost 2500,On the ocation of Dashain its cost 2000,how much discount does buyer get?
plz help​

Answers

Total Cost Of Shoe=2500

Totall discount Cost=2000

= 2500-2000

=500

A girl bought x kg of green apples and 3 kg of red apples. What was the total mass of all the apples she bought

Answers

Answer:

Total = x+3 kg

Step-by-step explanation:

Green apples = x kg, Red apples = 3 kg

Please help me with these two Algebra problem. Thanks
Problem 1:
If two half planes never intersect, then their system of inequalities has no solution. True or False?

Problem 2:
If the boundary lines of two half planes are parallel, then they have no solution area. True or False?

Please answer as quick as possible and please answer as
Example:
True, because . . . .

Thanks again!!

Answers

Step-by-step explanation:

First, a half plane can be defined as one side of a line, e.g. x < y-3.

1: True. A solution to two half planes is where the two half planes intersect. If they never intersect, then there literally cannot be a solution.

2: False. Take, for example, y=x and y=x+1. These two lines are parallel because in the equation y=mx+b, m represents the slope, and in these two lines, x is multiplied by 1, so both lines have the same slope and are therefore parallel. Then, take two boundary planes -- y > x and y>x+1. If we graph this out (see picture), the planes clearly intersect when y>x+1. The solution is where the planes intersect, so there is a solution area

If a line has a midpoint at (2,5), and the endpoints are (0,0) and (4,y), what is the value of y? Please explain each step for a better understanding:)

Answers

Answer:

y = 10

Step-by-step explanation:

To find the y coordinate of the midpoint, take the y coordinates of the endpoints and average

(0+y)/2 = 5

Multiply each  die by 2

0+y = 10

y = 10

subtract -5/6 from 1/3

Answers

Answer:

1 1/6

Step-by-step explanation:

1/3 - (-5/6)

Subtracting a negative is like adding

1/3 + 5/6

Get a common denominator of 6

1/3 *2/2 + 5/6

2/6 + 5/6

7/6

6/6 + 1/6

1 1/6

Answer: -1 1/6

Step-by-step explanation: -5/6 - 1/3 (2/2) -5/6 - 2/6 -7/6 -1 1/6

What is the constant of proportionality in the equation y=2.5x

Answers

Answer:

2.5

Step-by-step explanation:

A bag of marbles contains 11 blue marbles, 4 green marbles, and 5 purple marbles. What is the probability of drawing a green marble, removing it, and then drawing a purple marble?

Answers

Answer:

1/19

Step-by-step explanation:

11 blue marbles, 4 green marbles, and 5 purple marbles = 20 marbles

P( green) = green / total = 4/20 = 1/5

Now keep the green

11 blue marbles, 3 green marbles, and 5 purple marbles = 19 marbles

P(purple) = purple/ total = 5/19

P(green, keep,purple) = 1/5 * 5/19 = 1/19

-6=2n-n please help I hate math ​

Answers

Answer:

-6 = n

Step-by-step explanation:

-6=2n-n

Combine like terms

-6 = n

Hope this helps

Answer n= -6

लेखकाला शाल देणारे जोडपे​

Answers

होय साहेब!!!!!!!!!!

ignore drawings of triangles and the answer is not D !! Thank you!!​

Answers

Answer:

it's A

Step-by-step explanation:

the two triangles make up a parallelogram

Find x in the given figure.

Answers

It's the 2nd labeled angle from the right end of the upper horizontal line.

water needs to be removed from an underground chamber before work can commence. when the water was at a depth of 3m five suction pipes were used and emptied the chamber in 4 hours. if the water is now at a dpeth of 5 m and you want to empty the chamber in 10 hours time how many pipes need to be used

Answers

Answer:

8 pipes

Step-by-step explanation:

given that when height increases also time increases and automatically no of pipes will be decreased Mathematically;

h∝t•1/p

remove proportionality symbol and we will get

h=kt

p

make k as subject and we'll get

k=hp

t

find the value ok k

k=3×5

4

k=15

4

k=3.75

from h=kt. make p as subject and the answer should be

p=kt. find p

h

p=3.75×10

5

p=37.5

5

p=7.5 or 8

hence 8 pipes should be used

The size of the angles of a quadrilateral are in the ratio
1:2:3:3. Calculate the size of each angle.

Answers

Answer:

40°, 80°, 120°, 120°

Step-by-step explanation:

sum the parts of the ratio, 1 + 2 + 3 + 3 = 9 parts

The sum of the interior angles of a quadrilateral is 360°

Divide this by 9 to find the value of one part of the ratio.

360° ÷ 9 = 40° ← value of 1 part of the ratio

Then

2 parts = 2 × 40° = 80°

3 parts = 3 × 40° = 120°

The 4 angles are 40°, 80°, 120°, 120°

1. What is the perimeter of the rectangle?

Answers

Answer:

32

Step-by-step explanation:

A = l*w

55 = 5*w

55 /5 = 5w/5

11 = w

The perimeter is

P =2(l+w)

P = 2(5+11)

  =2(16)

  = 32

Answer:

32Units

Step-by-step explanation:

We know Area of rectangle=LENGTH×BREADTH

Here, breadth and Area given

55=5×L

L=11(value of length=11)

Perimeter=2(L+B)

32=2(5+11).

Find the first four terms in the sequence
an 15 + 6n

A. 21, 27, 33, 39
B. 18, 12, 6,0
C. 20, 26, 32, 38
D. 20, 14, 8, 2

Answers

Answer:

A. 21, 27, 33, 39

Step-by-step explanation:

an =15 + 6n

Let n=1  

a1 = 15 +6(1) = 15+6 = 21

Let n=2  

a2 = 15 +6(2) = 15+12 = 27

Let n=3  

a3 = 15 +6(3) = 15+18 = 33

Let n=4  

a4 = 15 +6(4) = 15+24 = 39

Answer:

A

Step-by-step explanation:

You do not know where n starts. Is it 1 or zero or something else. Raise your hand and complain.

I'll assume that n = 1 to start with

n = 1

15 + 6(1) = 21

n = 2

15 + 6(2) = 15 + 12 = 27

n = 3

15 + 6* 3 = 33

n = 4

15 + 6*4 = 39

What is the solution to the equation? 3x - 5 =7x -9

Answers

Answer:

x=1

Step-by-step explanation:

3x - 5 =7x -9

Subtract 3x from each side

3x - 5-3x =7x-3x -9

-5 = 4x-9

Add 9 to each side

-5+9 = 4x-9+9

4 = 4x

Divide each side by 4

4/4 = 4x/4

1=x

Answer:

numbers

=

1

Step-by-step explanation:

1

Add

5

5

5

to both sides of the equation

3

5

=

7

9

3x-5=7x-9

3x−5=7x−9

3

5

+

5

=

7

9

+

5

3x-5+{\color{#c92786}{5}}=7x-9+{\color{#c92786}{5}}

3x−5+5=7x−9+5

2

Simplify

Add the numbers

Add the numbers

3

=

7

4

3x=7x-4

3x=7x−4

3

Subtract

7

7x

7x

from both sides of the equation

3

=

7

4

3x=7x-4

3x=7x−4

3

7

=

7

4

7

3x{\color{#c92786}{-7x}}=7x-4{\color{#c92786}{-7x}}

3x−7x=7x−4−7x

4

Simplify

Combine like terms

Combine like terms

4

=

4

-4x=-4

−4x=−4

5

Divide both sides of the equation by the same term

4

=

4

-4x=-4

−4x=−4

4

4

=

4

4

\frac{-4x}{{\color{#c92786}{-4}}}=\frac{-4}{{\color{#c92786}{-4}}}

−4−4x=−4−4

6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

1

If 3r=4t+6​, what is the value of​ t?

Answers

it would be 3r - 4t = 6

Someone please helppp

Answers

Answer:

Option B is the right answer.

Step-by-step explanation:

x ^2 -7x+12 = (x-4)(x-3)

so, if we put x=3 or 4 than it will be undefined. hope u understand.

v is the midpoint of RU and T is the midpoint of SU If RS=w and TV=w–23, what is the value of w?

Answers

Answer:

w = 46

Step-by-step explanation:

V is the midpoint of RU, so VU = 1/2 RUT is the midpoint of SU, so UT = 1/2 SU

And we have:

RS = w, or RU + SU = w

Also we have:

TV = w - 23,

or substitute as above given:

VU + UT = w - 231/2 RU + 1/2 SU = w - 231/2 (RU + SU) = w - 231/2 w = w - 23w - 1/2 w = 231/2 w = 23w = 23*2w = 46

Answer:

ST+TU=SU

ST=TU

SU/2=ST=TU

5x-2=3x-4

2x=-2

x=-1

ST=5x-2=5(-1)-2=-5-2=-7 --->|ST|=7

TU=3x-4=3(-1)-4=-3-4=-7 --->|TU|=7

ST+TU=SU ---> 7+7=14

hope it's help you...!!!!!

plz mark as brain list and thanks for following me #rishu.....!!!!!!!!!!

A quadrilateral ABCD has the area 10 square feet. After a dilation with a scale factor of 3, find the area of quadrilateral A'B'C'D'.

Answers

10 x 3^2

= 10 x 9

= 90

I need help right now!! Please explain how to solve the question and make sure u know the answer thank you.

Answers

Answer:

A dilation factor by 1/2

Step-by-step explanation:

Find the distance of AB and BC which is 4 for each of them. A'B' and B'C' distance is 2. 4 * 1/2 = 2. Therefore the answer must be 1/2.

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