What are the integer solutions to the inequality below?
3<3x-2<2x+4

Answers

Answer 1

Step-by-step explanation:

3<3x-2<2x+4

=>

3<3x-2

5<3x

5/3 < x => x > 5/3

=>

3x-2<2x+4

3x-2x<4+2

x<6

x ={2,3,4,5}


Related Questions

Select the correct answer.


Which number line represents the number 0.7?

Answers

Answer:

C

Step-by-step explanation:

CCCCCCCCCCC

The profit earned by a hot dog stand is a linear function of the number of hot dogs sold. It costs the owner $48 dollars each morning for the day’s supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold. Which equation represents y, the profit earned by the hot dog stand for x hot dogs sold?

y=48x−2
y=48x+2
y=2x−48
y=2x+48

Answers

Answer:

I think y=,48x+2 is correct

The equation y = 2x - 48 represents y, the profit earned by the hot dog stand for x hot dogs sold. Hence, 3rd option is the right choice.

What are equations?

Equations are relations between two equal expressions, usually used to find the values of unknown variables using the constants and the values of other variables (if any).

How do we solve the given question?

In the question, we are informed that the profit earned by a hot dog stand is a linear function.

We are also informed that it costs the owner $48 each morning for the day's supply and that he earns $2 profit on each hot dog he sells.

We are asked to find the equation of profit y, for the number of hot dogs sold x.

The basic cost to the owner is $48. This will be his fixed cost, irrespective of the number of hot dogs he sells.

His profit on one hot dog is $2. So, his profit on x number of hot dogs sold will be $2x.

His total profit will be equal to the profits he earned by selling x hot dogs minus the basic cost he needs to pay.

Profit earned = Profit on x hot dogs - Basic cost

or, y = 2x - 48.

∴ The equation y = 2x - 48 represents y, the profit earned by the hot dog stand for x hot dogs sold. Hence, 3rd option is the right choice.

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Jason made a scale drawing of a restaurant. The scale in the drawing is 4 inches represents 10 feet. The actual
length of the kitchen is 48 feet. What is the length of the kitchen on the scale drawing?

Answers

Answer:

4.8 inches.

Step-by-step explanation:

By using the scale given, you can divide the actual length by the scale (48 ft/10 ft to find it in inches).

When done, it gives you 4.8 inches as the answer.

Answer:

12, It's simple, all you have to do is divide 48 by 4

easy ^-^

Find the value of the variable that results in congruent triangles. Explain. SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)

Answers

Answer:

x = 7

S.A.S

Step-by-step explanation:

2x + 14 = 4x

2x = 14

x = 7

Answer- X=7

Hope this helps

20 points and Brainliest !

Find the equation of the line with y-intercept 6 and slope -5/6 . What is the equation of the line in slope-intercept form?

Answers

Answer:

y = -5/6x + 6

Step-by-step explanation:

Slope intercept form is: y = mx + b

- where m is the slope

- where b is the y-intercept.

The problem already gives you the slope and y-intercept, so all you have to do is put it in for m and b respectively. Therefore, we have:

y = -5/6x + 6

Answer:

[tex]y = - \frac{5x}{6} + 6[/tex]

Step-by-step explanation:

1: Formulate equations/expressions:

[tex]based \: on \: the \: given \: conditions \: formulate[/tex]

[tex]m = - \frac{5}{6} \\ b = 6[/tex]

2: Write the equation:

[tex]write \: the \: equation \: of \: linear \: function[/tex]

[tex]y = mx + b[/tex]

3: substitute:

[tex]y = mx + b \\ m = - \frac{5}{6} \: b = 6 \\ y = - \frac{5}{6} x + 6[/tex]

4: rewrite the equation:

[tex]y = - \frac{5}{6} x + 6 \\ slope - intercept \: form \\ fin \: the \: required \: form: \\ y = - \frac{5x}{6} + 6[/tex]

find the value of each variable

Answers

Answer:

Step-by-step explanation:

Since the triangle is inscribed in a semicircle, then angle x is a right angle. That means that angle y is 180 - 90 - 31, which is 59.

What is 5760 minutes, in days? (Remember, there are 60 minutes in an hour and 24 hours in a day.)

Answers

5760/60 is 96 hours. 96/24 is 4 days

Answer:

4 days

Step-by-step explanation:

First Convert minutes to Hours

5760/60=96 Hours

Then convert hours to days

96 Hours/24 = 4 days

PLEASE HELP!! THIS QUESTION IS TIMED T-T

At this rate I kinda wanna just drop out an sing for people on the streets or become a hermit who lives in the hollow of a tree in the middle of a forest next to a little stream.

Answers

Answer: B

Step-by-step explanation:

Answer:

the answers B

Step-by-step explanation:

I foreal have to wait 32 seconds just to send this 14 seconds left lol wyd 3 seconds

please help.

What is the slope of the line given by the equation y = 2x + 6?​

Answers

Answer:

The slope is 2 and the y intercept is 6

Step-by-step explanation:

y = 2x+6

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 2 and the y intercept is 6

Answer:

2

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope and b is the y-intercept

y = 2x + 6

m = 2

Slope is 2

. In Standard form 4 283.2 is written as A. 4.2832 x 10-3 B. 4.2832 X 10-1 C. 2832 x 10-2 D. 2832 x 103​

Answers

4283.2 = 4.2832 x 10^3
It’s A I guess cuz it’s so jumbled

Question 7 of 10
In the diagram below, AB is parallel to CD. What is the value of x?
120"
8
A. 80
B. 100
C. 60
D. 120

Answers

Since the lines are parallel then
x and 120 are alternate angles and congruent, hence
x = 120 → C
It’s 120 cuz they both have same angles

if sin a=4 by 5,determine cos a

Answers

Answer:

3/5

Step-by-step explanation:

[tex]Sin A = \frac{4}{5}=\frac{oppsite side}{hypotenuse}[/tex]

Adjacent side² = hypotenuse² - opposite side²

= 5² - 4²

= 25 - 16

= 9

Adjacent side = √9 = 3

Cos A = [tex]\frac{Adjacent side}{hypotenuse} = \frac{3}{5}[/tex]

Sin = 4/5 = Perpendicular/hypotenuse

CosA = Base/hypotenuse

Base = √hyp. ^- prep.^

Base= 3/5

May it helps you

please answer this 2 question​

Answers

Answer:

Step-by-step explanation:

[tex]2x^{99}+3x^{98}+2x^{97}+3x^{96}+.......+2x+3 = [2x^{99}+2x^{97}+...2x]+[3x^{98}+3x^{96}+......3]\\\\=2x*[x^{98}+x^{96}+...+1]+3[x^{98}+x{96}+....1]\\\\= [x^{98}+x^{96}+..+x^{2}.+1](2x+3)\\\\=( [x^{98}+x^{94}+...+x^{2}]+[x^{96}+x^{92}+.......+1])*(2x+3)\\\\=(x^{2}*[x^{96}+x^{92}+.......+1]+[x^{96}+x^{92}+.......+1])*(2x+3)\\\\=[x^{96}+x^{92}+.......+1](x^{2}+1)(2x+3)[/tex]

solve the equation 4x-2 = 8

Answers

Answer:

x = 5/2

Step-by-step explanation:

4x-2 = 8

Add 2 to each side

4x-2+2 = 8+2

4x = 10

Divide by 4

4x/4 =10/4

x = 5/2

Answer:

x = 2.5

Step-by-step explanation:

4x - 2 = 8

4x = 8+2

4x = 10

x = 10/4

x = 2.5

What is the equation of the line that passes through the point (-1,-5) and has a slope of -3

Answers

Answer:

y = - 3x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute (- 1, - 5) into the partial equation

- 5 = 3 + c ⇒ c = - 5 - 3 = - 8

y = - 3x - 8 ← equation of line

Answer:

y = -3x + -4

Step-by-step explanation:

y = mx + b

to find the y-intercept we need to add or subtract (in this case it's add) a number to x to get to 0.

x = -1.

to get to 0, you need to add one

do that same thing to y

[tex](-1, -5) + (1, 1) = (0, -4)[/tex] therefore the y-intercept (or b) is negative 4.

Please help or else donkey from Shrek will eat all your pancakes!

Answers

Answer:    *gives my pancakes away*   There enjoy <;3

Step-by-step explanation:

A store sells three different styles of fleece jacket in a different color is it style can also be purchased with or without it but how many different versions of fleece jacket does the stores sell

Answers

Answer:

The store can sell 18 different versions of fleece jacket.

Step-by-step explanation:

The store offers 3 different styles of fleece jackets to its customers. There are 6 different colors available for each style of fleece jacket. The customers can choose from 18 versions of fleece jackets. These jackets can be purchased from the stores by the customers.

Write the standard equation of the circle with center (6,-1) and radius 7.4.

Answers

Answer:

C.

Step-by-step explanation:

You do the opposite to the numbers when plugging them into the equation and what they equal will be the radius squared.

6 goes to -6 and -1 turns to 1.

7.4 squared= 54.76

Standard equation of the circle with center (6,-1) and radius 7.4 is [tex](x-6)^{2}+(y+1)^{2} = 54.76[/tex]

Option (C) is correct

What is a circle?

"A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape."

What is center of a circle?

"The center of a circle is the point which is equidistant from all points on the circle."

What is the radius of circle?

"The constant distance between the center and any point of the circle is called its radius."

We have,

Center (h, k) = (6,-1)

Radius r = 7.4

We know,

Standard equation of the circle is [tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

Substitute the values of h, k, r in standard equation of circle

[tex](x-6)^{2}+(y+1)^{2}=(7.4)^{2}[/tex]

⇒[tex](x-6)^{2}+(y+1)^{2} = 54.76[/tex]

Hence, Standard equation of the circle with center (6,-1) and radius 7.4 is [tex](x-6)^{2}+(y+1)^{2} =54.76[/tex]

Option (C) is correct

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Use the grouping method to factor the polynomial below completely X3 - 3x2 + 5x - 15

A. (x2 - 5)(x+3)

B. (x2 - 3)(x + 5)

C. (x2 + 3)(x - 5)

D. (x2 + 5)(x - 3) ​

Answers

D because d is the most appropriate answer

[tex]\longrightarrow{\green{D.\:(x²+5)(x-3)}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] {x}^{3} - 3 {x}^{2} + 5x - 15[/tex]

Taking [tex]x²[/tex] as common from first two terms and 5 from last two terms, we have

[tex]➝ \: {x}^{2} \: (x - 3) + 5 \: (x - 3)[/tex]

Taking the factor [tex](x-3)[/tex] as common,

[tex]➝ \: ( {x}^{2} + 5)(x - 3)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Solve for x: -2x - 5 = 4

Answers

Answer i think it is 4

Evaluate the Function Evaluate x : − 2 x − 5 , then set it equal to 4 . = 4

Step-by-step explanation:

Answer:

x = - 9/2

Step-by-step explanation:

-2x - 5 = 4

-2x - 5 + 5 = 4 + 5        [add 5 both sides ]

- 2x = 9                        [ -5 + 5 = 0]

[tex]\frac{-2x}{-2} = \frac{9}{-2}\\\\x = \frac{9}{2}[/tex]                      [ divide both sides by - 2 ]

A sphere fits tightly in cylinder. The surface area of the sphere is 100π square inches. Find Volume of the cylinder.
Give answer in terms of π​

Answers

Answer:

Volume of the cylinder = 250π inch²

Step-by-step explanation:

Surface area of the cylinder is given by,

Surface area = 4πr²

Here, r = radius of the sphere

Since, surface area = 100π square inches

100π = 4πr²

r² = 25

r = 5

From the picture attached,

Height of the cylinder = diameter of the sphere

                                    = 2(r)

                                    = 2(5)

                                    = 10 inches

Volume of the cylinder is given by,

Volume = πr²h

Here, r = radius of the cylinder

h = height of the cylinder

Therefore, Volume of the cylinder = π(5)²(10)

                                                          = 250π square inches

PLEASE HELP ME WITH MATH PLEASE

Answers

Answer:

[tex]a=250[/tex]

[tex]b=10[/tex]

Step-by-step explanation:

[tex]a=\frac{5x^2}{2}=\frac{5(10)^2}{2}=\frac{5(100)}{2}=\frac{500}{2}=250[/tex]

[tex]b=\frac{2x^2(x-5)}{10x}=\frac{2(10)^2(10-5)}{10(10)}=\frac{2(100)(5)}{100}=2(5)=10[/tex]

a = 5x²/2

a = 5(10)²/2

a = 5 × 100/2

a = 250

.

.

.

b = (2x²(x-5))/10x

b = (2(10)²(10-5))/10 × 10

b = (200(5))/100

b = 10

.

.

.

hope this helps you

keep smiling always

follow me

i will also follow you

if 1,a,5 and 15 are in proportion ,find the value of a​

Answers

Answer:

a=3

Step-by-step explanation:

Given :

1:a :: 5: 15

To find a

a=15×1/5

a=3

Therefore, value of a =3

Given that ABCD is a rhombus, what is the value of X?

Answers

Answer:

3

Step-by-step explanation:

x=(5x-13)

so you work that equation out

take the 5x to the side of x and equate it to what you get

x=5x-13

5x+x=13+5

6x = 18 = x=3

6 6

x=3

Which two of the following mapping statements describe the same translation?
O 6.-9) - (0,1)
0 (-3,7) (-9,10)
(1, -5) (-5, -2)
(2, 4) + (-4,1)

Answers

Answer:

The mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.

Step-by-step explanation:

In a translation, we have that:

(x,y) -> (x+a,y+b)

In which a and b are how much the values change.

(6.-9) -> (0,1)

x subtracted by 6, y added by 10. So, the translation rule is:

(x,y) -> (x - 6, y + 10).

(-3,7) -> (-9,10)

x subtracted by 6, y added by 3. So

(x,y) -> (x - 6, y + 3).

(1, -5)-> (-5, -2)

x subtracted by 6, y added by 3. So

(x,y) -> (x - 6, y + 3)

Same rule as the above, so the mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.

(2, 4) -> (-4,1)

x subtracted by 6, y subtracted by 3. So

(x,y) -> (x - 6, y - 3)

please help me with this question!

Answers

[tex] \cos(theta) = \frac{60}{61} [/tex]

I need help finding the range I've tried doing this myself 3 times

Answers

the answer to this question would be 2005
The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.
Your highest # is 80,000
Your lowest # is 10,000
Subtract 80,000 - 10,000 = 70,000
Range = 70,000

Four times the larger of two consecutive even integers is ten less than the smaller. What is the larger of these two numbers?

Answers

Answer:

-4 is the larger integer

Step-by-step explanation:

n = smaller integer

n + 2 = larger integer

4(n+2) = n-10

4n + 8 =  n - 10

3n + 8 = -10

3n = -18

n = -6

n+2 = -4

don’t really get this pls help

Answers

Answer:

B

Step-by-step explanation:

It should be B

ACTUALLY ANSWER FULLY OR U WIL BE REPORTED Help pls I do need it

Answers

Answer:

125 people

Step-by-step explanation:

P( green) = number of green / total

                = 25/120

                 =5/24

Multiply this probability by 600

5/24 * 600 =125

Answer:

out of 120 people 25 people has chosen green

out of 1 people green will be chosen by 25/120 people

out of 600 people green colour will be chosen by( 25/120)×600 people =25×5=people

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