"three times a number is greater than or equal to 12 and less than 21"
Complete the following steps to receive full credit for this question:
• The inequality translated in numerical form
• Your work solving the inequality
• The solution graphed on a number line
• The solution in set notation
• The solution in interval notation

Answers

Answer 1

Answer:

The required inequality is: 12 ≤ 3x < 21

Step-by-step explanation:

We are given: three times a number is greater than or equal to 12 and less than 21

We need to answer following questions:

1) The inequality translated in numerical form

Let number = x

12 ≤ 3x < 21

2) Your work solving the inequality

We need to find value of x. Divide the inequality by x

4 ≤ x < 7

3) The solution graphed on a number line

It is shown in figure attached.

4) The solution in set notation

The set notation is: Considering x belongs to natural numbers N

{∀ x|x∈N, 4 ≤ x < 7}

5) The solution in interval notation

The interval notation is: [4,7)

because we have 4 less than equal to x and x is less than 7

"three Times A Number Is Greater Than Or Equal To 12 And Less Than 21"Complete The Following Steps To

Related Questions

you purcharse 3 items for 4.23 about how much did you spend ?

Answers

Answer:

$12.69

Step-by-step explanation:

3 times 4.23=12.96

Answer:

$12.69

Step-by-step explanation:

you would multiply 4.23 by 3

hope this helps

2. The width of a rectangle is 5 units less than the length. If the area is 150 square units, then find the dimensions of the rectangle.

Answers

Answer:

The length = x = 15 unitsThe width = x-5 = 10 units

Step-by-step explanation:

Let 'x' be the length of a rectangle

As the width of a rectangle is 5 units less than the length.

so

width of rectangle will be = w = x - 5 units

Area = 150 square units

Using the formula

Area = length × width

[tex]150=\left(x\right)\left(x-5\right)[/tex]

[tex]150=x^2-5x[/tex]

[tex]x^2-5x=150[/tex]

Subtract 50 from both sides

[tex]x^2-5x-150=150-150[/tex]

[tex]x^2-5x-150=0[/tex]

[tex]\left(x+10\right)\left(x-15\right)=0[/tex]

if

[tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

[tex]x+10=0\quad \mathrm{or}\quad \:x-15=0[/tex]

[tex]x=-10,\:x=15[/tex]

As length can not be negative. so

x = 15 units

Hence,

The length = x = 15 units

The width = x-5 = 15-5 = 10 units

I am really stuck on this problem​

Answers

Answer:

1. ∠1 = 60

2. ∠2 = 40

3. ∠3 = 80

4. ∠4 = 80

5. ∠5 = 60

6. ∠6 = 120

7. ∠7 = 100

8. ∠8 = 60

9. ∠9 = 120

10. ∠10 = 100

Step-by-step explanation:

I need this done like rn so please help!

Answers

Answer:

No, because the number in 2011 multiplied by three is less than the number in 2015.

Step-by-step explanation:

i dunno just makes sense

Answer:

I think that it did not because 555*3 is not 900 so it can't equal it.

Step-by-step explanation:

Pls with right answer

Answers

Answer:

$2,000

Step-by-step explanation:

They already raised

$5358

$2834

$4132

Total: $12,324

They need $14,000

                 -$12,324 =$1,676 is how much more they need

                                    $2,000 more.....round 1676 to 2000

                                 

(3 X 10^2) (3 X 10^3)
Answer pls

Answers

300 is the first one I think

Answer:

900000

Step-by-step explanation:

= (3 x 10 ^ 2) (3 x 10 ^ 3)

= (3 x 100) (3 x 1000)

= (300) (3000)

= 900000

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Find the 7th term of the geometric sequence –4, 12, –36, 108, –324,...
a
–2,916
b
972
c
8,748
d
–2,920

Answers

Answer:

a

Step-by-step explanation:

a=-4 r=12/-4=-3

T7= ar^n-1

= (-4)(-3)^7-1

=-2916

The first term of this geometric sequence is equal to: A. -2916.

How to calculate the 7th term of a geometric sequence?

Mathematically, a geometric sequence is given by this expression:

[tex]a_n =a_1r^{n-1}[/tex]

Where:

r is the common ratio.a is the first term of a geometric sequence.

Based on the geometric sequence, the first term is equal to -4. Also, the common ratio is given by:

r = 12/-4

r = -3.

For the 7th term, we have:

a₇ = -4 × (-3)⁷⁻¹

a₇ = -4 × (-3)⁶

a₇ = -4 × 729

a₇ = -2916.

Read more on geometric sequence here: brainly.com/question/12630565

#SPJ2

Find in slope standard form 3х – 5y = 10

Answers

Answer:-5y=-3x+10

Divide all by -5

Y= 3/5x+10/-5

Negative divide by negative is positive--3/-5= 3/5

Slope is 3/5 y intercept is -2

Step-by-step explanation:

The answer would be

-5y=-3x+10

An amount of money that is deposited or borrowed that earns or is charged interest is called a what?

Answers

Answer:

the principal

Step-by-step explanation:

Austin made 5 quarts of his special from-scratch cupcake mix. He was able to make 32 identical cupcakes using 3.5 quarts of his special mix. Austin would like to bake 20 more identical cupcakes to ice each cupcake in the likeness of a playing-card. Does he have enough left to create 20 additional cupcakes? Explain.

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

We can write a proportion to find how much mix is required to make 52 cupcakes.

  quarts/cupcakes = 3.5/32 = x/52

Multiplying by 52, we find ...

  x = 52(3.5/32) = 5.6875 . . . quarts needed for 52 cupcakes

This is more mix than Austin made. He does not have enough left for 20 more cupcakes.

help please! will mark brainliest!

Answers

Answer:

Hello! I'll help, but where is the question?

Step-by-step explanation:

Answer:

what do you need help with?????

HEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLPPPPPPPPPPPPPPPPPPPP
Luke loaned $3500 to his sister. His sister agreed to repay Luke in a year, with 2% simple interest on the $3500. What is the total amount that Luke’s sister will repay?

Answers

Answer:70

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

2.Larry's car travels 230 miles on 10 gallons of fuel. What is the ratio of miles to
gallons for Larry's car?
A 10 Miles to 1 Gallon
B 10 Gallons to 1 Mile
<
23 Miles to 1 Gallon
D 23 Gallons to 1 Mile

Answers

Answer:

D

Step-by-step explanation:

If he travels 230 miles on 10gallons of fuel, then he will travel 23 miles on 1 gallon of fuel. So it is 230 gallons to one mile.

HELP FAST !!!

Find the solution of the system of equations.
-8x + 7y = -2
- 8x + 8y = 8

Answers

-56x + 49y= -14

- 56x + 56y=64

105y=50

y=0.48

-8x+7(0.48)=-2

-8x+3.36=-2

-8x=-5.36

x=0.67

Answer:

(x, y) = (9, 10)

Step-by-step explanation:

-8x + 7y = -2...... (1)

- 8x + 8y = 8......(2)

Multiplying on both sides of the equations (1) & (2) by 8 and 7 respectively, we find:

-64x + 56y = - 16...(3)

-56x + 56y = 56.....(4)

Subtracting equation (4) from equation (3), we find:

-64x + 56y = - 16

-56x + 56y = 56

+ - -

_____________

- 8x = - 72

x = - 72/-8

x = 9

Substituting x = 9 in equation (1), we find:

-8(9) +7y = - 2

-72 +7y = - 2

7y = 72 - 2

7y = 70

y = 70/7

y = 10

(x, y) = (9, 10)

Find the area of the shape shown below plsss hurry I only have limited time

Answers

Answer: 32

Step-by-step explanation: so we can start by finding the two small ones at the bottom. so 2 times 2 is 4/2 is 2, 2 times 6 is 12/2 is 6. then we have a square in the middle that is 2 times 2 is 4. then to find the rest, we can add the 2, the 6, and because we know the bottom middle shape is a square, another two, so we end up with a line of 10 unites. then we can do 4 times 10 is 40/2 is 20. then we add all of our answers. so 20 plus 2 plus 4 plus 6 which is 32.

Answer:

32

Step-by-step explanation:

4*10 = 40/2 = 20

2*2 = 4/2= 2

2*2=4

6*2 = 12/2= 6

20+2+4+6 = 32

A country clerk has given amount of money to budget for cultural events
Based on the scattplot , what does the point (0.18) represent
A.the total amount of the budget given to the country
B.the total amount of the budget spent after 18 months
C.the average amount spent out of the udget each month
D.the predicted amount of time after which the entire budget will. e spent​

Answers

Answer:

A. the total amount of the budget given to the country

Step-by-step explanation:

In order to know the answer, you have to check what the y-axis represents. In the graph above, it represents the "Budget Remaining," which is expressed in thousands of dollars. On the other hand, the x-axis represents the "Time," which is expressed in months.

Point (0,18) shows the total amount of the budget for the Cultural Events in the country. It starts at 18,000 dollars and decreases as months pass by. This is shown by the graph's "negative slope." This means that as the number of months increases, the amount of money decreases.

Given h (x) = 2x + 5, solve for x when h (x) = 3

Answers

Step-by-step explanation:

h(x)=2x+5

3=2x+5

3-5=2x

-2=2x

x= -2

2

x= -1

hope it help u

The value of x when h (x) = 3 would be -1.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We have been given a function of x as;

h(x)=2x+5

We need to find the value of x when h (x) = 3

Thus,h(x)=2x+5

Plug the value;

3=2x+5

Remove 5;

3-5=2x

-2=2x

So, x = -2 /2

x= -1

Hence, the value of x when h (x) = 3 would be -1.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

-1 1/2 minus positive 3 1/2--5/8 equals what

Answers

Answer:

[tex]2\frac{5}{8}[/tex]

Step-by-step explanation:

[tex]-1\frac{1}{2} - ( -3\frac{1}{2} ) - \frac{-5}{8} = 2\frac{5}{8}[/tex]

569,820 divide by 4
569,820 divide by 5
569,820 divide by 10
569,820 divide by 6
569,820 divide by 9
569,820 divide by 3
569,820 divide by 2
and when your done just tell me which one has no remainders (If u tell me the remainders, u get 1 bonus point and that equals........18 POINTS!!)

Answers

Answer:

569820/4=142455

569820/5=113964

569820/10=56982

569820/6=94970

569820/9=63313.33333333333333 (remainder)

569820/3=189940

569820/2=284910

Step-by-step explanation:

Hey ppl!^-^ Can you help me with this stupid problem (◔_◔)

5^2 x 5^(-5)= ??????

Answers

Answer and Step-by-step explanation:

[tex]5^{2} * 5^{-5} \\[/tex] is [tex]\frac{1}{125}[/tex]

This is because 5 times 5 is 25.

5 to the negative 5th is 1/3125.

Multiply these together and you get 1/125.

#teamtrees #WAP (Water And Plant)

Answer:

25×1/3125=0.008

Step-by-step explanation:

1. ...using indices law of negativity it will turn to 1 over 5 raise to 5

Selena bought a TV for her bedroom. The original price was $299.99, but she bought it on sale for 30% off. Selena also paid 15% tax. How much money did she spend on the TV?

Answers

I believe $241.50 would be your answer

Find the opposite of each integer 0

Answers

Answer:

Thats not a full question.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Branliest to right answer

Answers

Answer
I think it’s the second one but I could be wrong
Explanation

Answer:

the second one

Step-by-step explanation:

which equation is true
A. 0.9 = 90/100
B. 12/10 equal to 1.02
C. 1.9 = 9/100
OR
D. 18/9 = 0.2

Answers

A. All the others are false

5*Please answer this correctly very urgent!

Answers

Answer:

1  3/15 - 5/15

Step-by-step explanation:

Hope this helps. PS the / sign is supposed to be for the fraction.

Step-by-step explanation:

1 1/5 - 1/3 = 0.86

Hope I helped. The only way I know how to dot this is in decimal form sorry.

Write the slope-intercept from of the equation of the line described. Through (-2, -1) perpendicular to y = 1/4x

Answers

Step-by-step explanation:

Slope Intercept Form is "y = mx + b"

What it means?

"m" - slope

"b" - y intercept (0,b)

So, we are given the slope, but not the y intercept..

For now, lets fill in the slope.

y = 1/4x +  b

We are given a coordinate pair (-2,-1)

Fill it into the equation and solve for b.

-1 = 0.25(-2) + b

-1 = -0.50 + b

- 0.50 = b

We now have the value of "B"

Fill in the rest of the equation:

y = 1/4x + -.50

^ I think that is correct, sorry if it's wrong.

Plz I need this ASAP

Answers

Answer:

12

Step-by-step explanation:

1/3( 4×3)+8

1/3(12)+8

4+8

12

Answer:

b

Step-by-step explanation:

Find the slopes of the liner functions
Y= -2x +7
The slope of line given by the linear equation?
The slope of the line shown ?

Answers

Answer:

The slope of the line given by the linear equation is -2

The slope of the line shown in the graph is -1

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slopeb is the y-intercept

The rule of the slope of a line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points lie on the line

Let us use these rules to answer the question

∵ The linear equation is y = -2x + 7

→ By comparing it with the form of the linear equation above

m = -2

∵ m is the slope of the line represented by the given equation

The slope of the line given by the linear equation is -2

From the given figure

∵ The line passes through points (6, 0) and (0, 6)

x1 = 6 and y1 = 0

x2 = 0 and y2 = 6

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{6-0}{0-6}=\frac{6}{-6}[/tex]

m = -1

∵ m is the slope of the line shown in the graph

The slope of the line shown in the graph is -1

it is urgent.so anyone solve this

Answers

Answer:

Step-by-step explanation:

Answer:

1i.) x = 18

1ii.) x = 40

2.) x = 155

3i.) ABD = 115° (actually this is wrong, idk how to calculate this ;-;

3ii.) BEF = 135°

Step-by-step explanation:

*All triangles add up to 180° in total of all angles added together*

i.) Find x

4x + 3x + 3x = 180°

10x = 180°

10x/10 = 180/10

x = 18

----------------------------------------

ii.) Find x

180 - 115 = 65

65° + 75° + x° = 180°

140° + x° = 180°

x° = 180° - 140°

x = 40°

----------------------------------------

2.) Find x

180 - 145 = 35

45° + 35° + n° = 180°

80° + n° = 180°

n° = 180° - 80°

n° = 100°

*Vertical Angles of n and m (variables I randomly made so I can solve this), so they are both the same*

100 + 55 + m = 180

155 + m = 180

m = 180 - 155

m = 25

25 + x = 180

x = 180 - 25

x = 155

----------------------------------------

3.) Find Angles

i.) ABD

180° - 65° = 115°

Angle ABD = 115°

ii.) BEF

180° - 110° = 70°

70° + 65° + x° = 180

135° + x° = 180°

x° = 180° - 135°

x = 45°

180° - 45° = 135°

Angle BEF = 135°

1,682inches rounded to the nearest hundredth is 1,68?

,

Answers

Answer:

correct its 1.68

Step-by-step explanation:

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