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

Write and equation of the line that passes through the pair of points (4,6) and (-1,1)

Answers

Answer:

y = x + 2

Step-by-step explanation:

Step 1: Find the slope

[tex]m=\frac{y2-y1}{x2-x1} = \frac{6-1}{4-(-1)}=\frac{6}{6} =1[/tex]

Step 2: Substitute the slope and a point in to find y intercept

(6)=(1)(4)+b

6 = 4 + b

b = 2

Step 3: Substitute all the information in

y = x + 2

Therefore the equation for a line that passes through (4,6) and (-1,1) is y = x + 2

The answer is y=x+2 . The slope is m=1. And the y intercept is b=2

(PLEASE HELP ASAP I REALLY DON’T UNDERSTAND THIS PLEASE EXPLAIN)

Answers

Answer:

Intergers

Step-by-step explanation:

A subset is a part of a whole math concept, idea, or sample space.

We need to find what math concept -5 is apart of.

-5 is part of the All Real Numbers section.

-5 is also part of integers as well.

A fish jumps out of the water at a speed of 12 feet per second. The height y (in feet) of the fish above the surface of the water is represented by the equation y=-16x^2+12x, where x is the time (in seconds) since the jump began. The fish reaches its highest point above the surface of the water after 0.375 seconds. How far above the surface is the fish at this time?

Answers

Answer:

The fish is 2.25 ft above the surface at 0.375 seconds

Step-by-step explanation:

Given:

y=-16x^2+12x

x=0.375 seconds

Substitute x=0.375 into the equation

y=-16x^2+12x

= -16(0.375)^2 +12(0.375

= -16(0.140625) + 4.5

= -2.25 + 4.5

= 2.25

y=2.25 ft

The fish is 2.25 ft above the surface at 0.375 seconds

what seven divided by 4

Answers

Answer:

7 divided by 4 is 1 ¾ as a fraction, or 1.75 as a decimal.

Step-by-step explanation:

Pls mark as brainliest answer

The calculated division of the numbers seven divided by 4 is 1 3/4

How to calculate the division of the numbers

From the question, we have the following parameters that can be used in our computation:

seven divided by 4

When represented as an equation, we have

seven divided by 4 = 7/4

Divide 7 by 4

So, we have the following result

seven divided by 4 = 1 3/4

Using the above as a guide, we have the following:

the result is 1 3/4

Read more about quotient at

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Can someone please help me

Answers

Answer:

c

Step-by-step explanation:

come on ! you can literally see that in the chart.

how many parts of the gray 3/8 are covered by the gray 1/4 ?

2 parts = 2/8 are clearly covered by 1/4.

2/8 is what part of 3/8 ?

it is the same question as "2 is what part of 3" ?

is 2 a quarter (1/4) of 3 ? no, 1/4×3 = 3/4 and not 2.

is 2 one third (1/3) of 3 ? no, 1/3 of 3 = 1/3×3 = 1 and not 2.

is 2 two thirds (2/3) of 3 ? ah, 2/3 × 3 = 2. that is correct !

is 2 three quarters (3/4) of 3 ? no, 3/4×3 = 9/4 and not 2.

once you have the same denominator, you can easily compare the numerators and ignore the denominators for such problems.

A textbook store sold a combined total of 255 physics and math textbooks in a week. The number of math textbooks sold was 81 less than the number of physics textbooks sold. How many textbooks of each type were sold?

Answers

Answer:

math = 87

physics = 168

Brainliest, please!

Step-by-step explanation:

Variables:

m = math, p = physics

Equations:

m + p = 255

m = p - 81

Substitution:

m + p = 255

(p - 81) + p = 255

2p - 81 = 255

2p = 336

p = 168

Solving for m:

m + p = 255

m + 168 = 255

m = 255 - 168

m = 87

Checking with the other equation:

m = p - 81

87 = 168 - 81

87 = 87

So, math = 87 and physics = 168

Brainliest, please!

Witch of the following numbers are greater then or equal to 4/7

A 2/5
B .57
C 2/3

Answers

Answer:

2/3

Step-by-step explanation:

Its simple. Ona calculator, if you type in these fractions, you can compare then decimal form values and see which is the biggest:

4/7 = .5714

2/5  = .04

.5/7.0714

2/3 = .66667

Since .6667 is greater than .5714, 2/3 is greater than 4/7

Answer:

B: .57

C: 2/3

Step-by-step explanation:

Divide 4/7 = .57

A: divide 2/5 = 0.4, which is less than 4/7 so we won't include this number as one of the answers

B: .57, which is equal to 4/7

C: divide 2/3 = 0.67, which is greater than 4/7

This question has two answers (B and C), because it is asking which numbers are greater than or equal to.

Help pls this is really hard

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

√2 ≈ 1.414 ≈ 1.4 +0.1(1/7)

The dot will be about 1/7 of the way between 1.4 and 1.5.

Help please, all i know is that 4x:24 I will give brainliest
the question:
Heather is planning a dessert display. She needs 4 ounces of strawberries for each dessert.
Part A: Heather is not sure how many desserts she will make. Write an expression with a variable that represents the amount of strawberries Heather needs for the desserts. Identify what the variable represents.

Part B: If Heather has 24 ounces of strawberries, how many desserts can she make? Create an equation and show all work to solve it. (6 points)

Answers

Answer:

Let n be the total number of desserts.

Let s be the total ounces of  strawberries.

S = 4n <- answer to part a.

24 = 4n

n = 6

If she has 24 ounces of strawberries, she can make 6 desserts.

Let me know if this helps!

2^2+ 3^2 - 4^2

Simplify using the order of operation

Answers

Answer:

[tex] {2}^{2} + {3}^{2} - {4}^{2} \\ 4 + 9 - 16 \\ 13 - 16 \\ - 3[/tex]

I hope it helped U

stay safe stay happy

Answer:

-3

Step-by-step explanation:

[tex] {2}^{2} + {3}^{2} - {4}^{2} [/tex]

[tex] = 4 + {3}^{2} - {4}^{2} [/tex]

[tex] = 4 + 9 - {4}^{2} [/tex]

[tex] = 4 + 9 - 16[/tex]

[tex] = - 3[/tex]

Which value of x makes the following matrix equation true?

Answers

Answer:

[tex]\large \boxed{{x=-3}}[/tex]

Step-by-step explanation:

[tex]{\mathrm{view \ attachment}}[/tex]

in triangle ABC the measure of angle A is 90. the length of AB is 1 unit the length of AC is 8 unit, find the legth of BC

Answers

Answer:

8.06

Step-by-step explanation:

by using pythagoras

BC^2=1^2+8^2

BC^2=1+64

BC^2=65

BC=√65

BC=8.06

The double number line shows that to make 4 apple pies takes 14 pounds of apples.Select the double number line that correctly labels the number of pounds of apples that are needed to make 1 , 2, and 3 pies.

Answers

Answer:

10.5 pounds of apples

Step-by-step explanation:

4 devided by 14 = 3.5

3.5* 3 = 10.5

1. At the end of one school day a teacher had 17 crayons left. The teacher remembered
giving out 14 crayons in the morning, getting 12 crayons back at recess, and giving out
11 crayons after lunch. How many crayons did the teacher have at the start of the
day?

Answers

Answer:

30 crayons

Step-by-step explanation:

Let x be the number of crayons he started with

gave out 14 crayons

x-14

Got 12 back

x-14+12

Gave out 11 after lunch

x-14+12 -11

This equals 17

x-14+12 -11 =17

Combine like terms

x-13 = 17

Add 13 to each side

x -13+13 =17+13

x = 30

Answer: 30

Step-by-step explanation:

For this problem work backwards. Start from 17 and add 14. You should get 31. Then subtract 12, which equals 19. Finally add 11 to 19, which equals 30. Basically you are doing the inverse operation to get your answer. Hope this helps!

Find the value of x and y​

Answers

[tex]\\ \rm\Rrightarrow \dfrac{x}{2}=3[/tex]

[tex]\\ \rm\Rrightarrow x=2(3)[/tex]

[tex]\\ \rm\Rrightarrow x=6[/tex]

And

[tex]\\ \rm\Rrightarrow \dfrac{y}{2}+1=3[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{y}{2}=3-1=2[/tex]

[tex]\\ \rm\Rrightarrow y=2(2)[/tex]

[tex]\\ \rm\Rrightarrow y=4[/tex]

Answer:

x=6 y=4

Step-by-step explanation:

Equating corresponding terms , we get

x/2=3

or, x=6

Also,

y/2+1=3

or, (y+2/2)=3

or, y+2=6

or, y=6-2

y=4

Therefore, x=6 and y=4.

What is the area of a circle with a diameter of 29 centimeters?
cm2
(Use 3.14 for Pi.)

Answers

Answer:

Step-by-step explanation:

AREA OF CIRCLE = 660.185CM^2

HOPE IT HELPS

40. Which families of plane figures given below are NOT always similar?
A. Squares
C. Equilateral triangles
B. Circles
D. rectangle​

Answers

Answer:

Rectangle

Explanation:

Rectangles can be oblong, and square is also a rectangle.

HELP DOES ANYONE KNOW THIS

Answers

Answer:

  10x

Step-by-step explanation:

The height on the left is the same as the height on the right:

  (2x -y) +(y) = (2x)

  2x = 2x . . . . . not particularly helpful

The width across the top is the same as the width across the bottom:

  3x = (y) +(4x -2y)

  y = x . . . . . . . . add y-3x to both sides

The perimeter is the sum of side lengths. Working clockwise from the top, that is ...

  P = 3x +2x +(4x-2y) +y +y +(2x -y) = 11x -y = 10x

The perimeter is 10x. (or 10y, if you like)

HELP OUT PLZZZZZZZZZZZZZZZZz

What is the measure of the angle if an angle if it is 300 less than five times its own supplement

Angle = _______ degrees

Answers

Answer:

100°

Step-by-step explanation:

Let the angle = x

Its supplement = 180 -x

5*(180 - x ) - x = 300    

5*180 - 5*x - x= 300    {Distributive property}

900 - 5x  - x = 300     {Combine like terms}

900 - 6x  = 300         {Subtract 900 from both sides}

       -6x = 300 - 900

      -6x = -600           {Divide both sides by (-6)}

          x = -600/-6

        x = 100

On Earth day, a local community wants to distribute 800 flyers, 300 banners, and 250 badges to volunteers in packets containing the three items. What is the greatest number of packets that can be made using all these items if each type of item is equally distributed among the packets?

Answers

Answer:

800 flyersOn Earth day, a local community wants to distribute 800 flyers, 300 banners, and 250 badges to volunteers in packets containing the three items. What is the greatest number of packets that can be made using all these items if each type of item is equally distributed among the packets?

Raj tested his new flashlight by shining it on his bedroom wall. The beam of light can be described by the equation . How many inches wide is the beam of light on the wall?

Answers

Answer:

12 inches

Step-by-step explanation:

Raj tested his new flashlight by shinning it on his bedroom wall the beam of the light can be described by the equation (x^2-2x) + (y^2-4y) - 31=0. how many inches wide is the beam of light on the wall

Solution

Given:

(x^2-2x) + (y^2-4y) - 31=0

By completing the square

(x^2-2x) + (y^2-4y) - 31=0

(x^2-2x+1-1) + (y^2-4y+4-4)-31=0

(x-1)^2 -1 + (y-2)^2 - 4 - 31=0

(x-1)^2 + (y-2)^2 - 1 - 4 - 31=0

(x-1)^2 + (y-2)^2 - 36=0

(x-1)^2 + (y-2)^2=36

Writing the equation in the form: (x-h)^2+(y-k)^2=r^2

(x-1)^2+(y-2)^2=6^2

From the above, r=6

Where,

r=radius

how wide is the diameter ?

radius=6

Diameter= 2 × radius

=2×6

=12 inches

Answer:

12

Step-by-step explanation:

to graph it just scan the equation on photo math!!

classify What type of number is the square root of 2 ​

Answers

Answer:

The square root of 2, or the (1/2)th power of 2, written in mathematics as √2 or 2​1⁄2, is the positive algebraic number that, when multiplied by itself, equals the number 2. Technically, it is called the principal square root of 2, to distinguish it from the negative number with the same property

Step-by-step explanation:

What is the equation of the line that passes through the point (4,-7) and has a
slope of - ?
Answer:
Submit Answer
PLS HELP

Answers

Answer:

[tex]y = -\frac{1}{2} x -5[/tex]

point slope form....

y - (-7) = -1/2(x-4)

y + 7 = -x/2 + 2

2y + 14 = -x + 4

2y = -x -10

y = -1/2 x - 5

Step-by-step explanation:

A triangle has one side that lies along the line y=1/4x and another that lies along the line y=-1/4x. Which of the following points could be a vertex of the triangle?

Answers

Answer:

We know that our triangle has one side along the line:

y = (1/4)*x

And other side along the line:

y = -(1/4)*x.

Now, we want to find the vertex.

And we know that the vertex is the point where the two sides conect, so the vertex must be a common point of both lines.

Then we have:

y = (1/4)*x = -(1/4)*x

x = -x

The only solution to that equation is x = 0.

now we evaluate our lines in x = 0 and get:

y = (1/4)*0 = 0

y = -(1/4)*0 = 0

Then the lines intersect in the point (0, 0)

Then the vertex must be in the point (0, 0)

Please answer this question now

Answers

Answer:

A≈422.37

You use the equation A=πr(r+h2+r2) to find the surface area of a cone

Answer:

373.99 sq cm

Step-by-step explanation:

formula for surface area of cone is: πr(r+s) where r is radius and s is slant height.

π*7(7+10) = π*7(17) = π*119 = 3.14*119 = 373.99 sq cm

Chelsea received $60 for her birthday. She used three fifths of her birthday money to purchase a pair of jeans. She used two thirds of the remaining birthday money to go to the movies. How much money did Brittany have after attending the movies?

Answers

Answer: 24$

Step-by-step explanation: First, you need to do 3/5*60 which is  36$.

Then you need to find 2/3 of 36$ which is 24$. So Brittany now has 24$ after going to the movies. I hope this helps you!

225 tickets were sold for a Schools Winter Play. The tickets for the adults cost $8.00 and for the children $4.50. The total receipts for the performance were $1275.00 How many of each type of ticket were sold?

Answers

Answer:

75 of the adult ones and 150 of the children ones.

I need help in this question

Answers

Answer:

Yes and 60 mi/h

Step-by-step explanation:

The slope of a distance-time graph represents the spped of an object. since the slope has been uniform, the body was travelling with a constant speed that is 120/2=60 mi/h

find the value of 3m-2, if m =7.

Answers

Answer:

37-2=35 or 3^7-2=2185

Which property can you use to show that 6x – 3x + 9y + 4 + 11 is equivalent to 3(x + 3y + 5)?

Answers

Answer:

Distributive property

Step-by-step explanation:

6x – 3x + 9y + 4 + 11 =

First, we combine like terms.

= 3x + 9y + 15

Now we use the distributive property to factor out a common factor.

= 3(x + 3y + 5)

The  property can you use to show that 6x – 3x + 9y + 4 + 11 is equivalent to 3(x + 3y + 5) is  Distributive property

What is Distributive property

To show that 6x - 3x + 9y + 4 + 11 is equivalent to 3(x + 3y + 5), we can use the distributive property of multiplication over addition.

The distributive property states that for any real numbers a, b, and c:

a(b + c) = ab + ac

6x – 3x + 9y + 4 + 11 =

First, we combine like terms.

= 3x + 9y + 15

Now we use the distributive property to factor out a common factor.

= 3(x + 3y + 5)

Read more about  Distributive property here:

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