"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

Please help. It’s not “yes, corresponding angles converse”

Answers

Answer:

Yes,Corresponding Angles

Step-by-step explanation:

any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.

Answer:

It is yes,corresponding angles

Step-by-step explanation:

What is the volume of the figure? Enter the answer in the box.


Answers

Answer:

217,600

Step-by-step explanation:

Multiply all the sides

FInd the area of the circle

Answers

Answer:

A = 12.56 m²

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Geometry

Area of a Circle: A = πr²d = 2r

Step-by-step explanation:

Step 1: Define

d = 4 m

Step 2: Find r

Substitute:               4 = 2rIsolate r:                   2 = rRewrite:                    r = 2 m

Step 3: Find Area

Substitute:               A = π(2)²Substitute:               A = (3.14)(2)²Evaluate:                  A = (3.14)(4)Multiply:                   A = 12.56 m²

the ratio of horses to chickens on a farm is 9:4. If there are a total of 169 animals, how many chickens are on the farm?

Answers

Answer:

52 chickens

Step-by-step explanation:

Step one:'

given

we are told that the total number of animals is 169

the ratio of horses to chickens= 9:4

total ratio= 13

Required:

number of chickens

Applying part to all principle, let the number of chickens be x

4/13=x/169

cross multiply

4*169=13*x

divide both sides by 13

x=4*169/13

x=676/13

x=52

There are 52 chickens

f (x) = 20 - (1.27)
growth or decay ?

Answers

Answer:

Decay...? Read below

Step-by-step explanation:

Assuming you meant to put 20 - (1.27)x, it is decay. As the x increases, the y decreases, making it decay.

find the equation of the line shown

Answers

Answer:

y = x + 1

Step-by-step explanation:

find slope (y2-y1)/(x2-x1)

pick 2 points (0,1) and (1,2)

(2-1)/(1-0) = 1/1 = 1

Since (0,1) you know that y intercept is 1

the equation in slope intercept form: y = x + 1

16. Mario has $15. He spends $6.25 on admission to the ice
skating rink, $2.95 to rent skates, and $1.65 each for 2 hot
chocolates. How much money does he have left?

Answers

Answer:

4.15

Step-by-step explanation:

Minus it all

15 minus 6.25 is 8.75

8.75 minus 2.95 equals 5.8

5.8 minus 1.65 equals 4.15

Convert the rate 25 miles per hour to feet per second

Answers

Mile Per Hour to Foot Per Second Conversion Table
Miles Per Hour Feet Per Second
22 mph 32.27 ft/s
23 mph 33.73 ft/s
24 mph 35.2 ft/s
25 mph 36.67 ft/s

Answer:

36.67 feet / second

Step-by-step explanation:

We will be using Dimensional Analysis to solve this question

We are given the rate: 25 miles / hour

Converting the Miles to feet:

We know that 1 mile = 5280 feet

So, we can say that [tex]\frac{5280 feet}{1 mile}[/tex] = 1

Multiplying the Given rate by 1:

[tex]\frac{25 miles}{Hour}[/tex] * 1

(multiplying by 1 will not change the actual value of the expression)

[tex]\frac{25 miles}{Hour}[/tex] * [tex]\frac{5280 feet}{1 mile}[/tex]                                                          (since 5280 feet/ 1 mile = 1)

here, the 'mile' will cancel out and we will get:

[tex]\frac{25 * 5280 feet }{Hour }[/tex]  

[tex]\frac{132000 feet}{Hour}[/tex]

Converting the Hours to Seconds:

We know that 1 hour = 3600 seconds

So, we can say that:

[tex]\frac{1 Hour}{3600 seconds}[/tex] = 1

Multiplying the Rate by 1:

[tex]\frac{132000 feet}{1 Hour} * 1[/tex]

(multiplying by 1 will not change the actual value of the expression)

[tex]\frac{132000 feet}{1 Hour} * \frac{1 Hour}{3600 seconds}[/tex]                                   (since 1 hour / 3600 seconds = 1)

Here, the 'Hour' in the numerator and the denominator will cancel out to make:

[tex]\frac{132000 feet}{3600 seconds}[/tex]

which can be simplified to:

[tex]\frac{36.67 feet}{second}[/tex]

Therefore, 25 mph can also be written as 36.67 feet per second

Help! This is due today and I don’t know nothing

Answers

Answer:

1.A

2.A

3.B

4.B

Step-by-step explanation:

That the answer

Solve the following equation.
1/3 k + 80 = 1/2 k + 120

Answers

Answer:

2; 3; 80; 1; -40; 1; -240 (answered from left to right then the next line)

Step-by-step explanation:

This is a question on fractions and solving algebraic equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

240

Step-by-step explanation:

k/3+80=k/2+120

K/3-k/2=120-80

3k-2k/6=40

K/6=40

K=240.

So the value of k is 240.

A country’s daily oil production can be approximated by q(t)=0.013t^2-0.6t+5.27

Answers

If the value of "y" varies directly with "x"
and y = -8 when x = 20, find "y" if x = -4.
Enter the number that belongs in the green box.
Reduce to simplest form.

(GIVING BRAINLIEST!!)
Solve the equation using equivalent fractions. SHOW YOUR WORK

4/5 + 3/15 - 2/3

Answers

Answer:

0.3 or 1/3

Step-by-step explanation:

add 4/5 + 3/15=1

then 1-2/3 = 1/3

Answer: 1/3

[tex]\frac{4}{5}+\frac{3}{15}-\frac{2}{3}\\\\=\frac{4}{5}+\frac{3}{3.5}-\frac{2}{3}\\\\=\frac{4}{5}+\frac{1}{5}-\frac{2}{3}\\\\=1-\frac{2}{3}\\\\=\frac{3}{3}-\frac{2}{3}\\\\=1/3[/tex]

Step-by-step explanation:

2. The mean birth weight of a full term boy born in the US is 7.7 lbs, with standard deviation of 1.1 lbs. A. Find the probability that a boy born full term in the US weighs less than 7 lbs. B. Find the probability that the average weight of 25 baby boys born in a particular hospital have an average weight less than 7 lbs.

Answers

Answer:

A

The value is [tex]P( X < 7 ) =0.26226[/tex]

B

The value is [tex]P( X < 7 ) = 0.00073[/tex]

Step-by-step explanation:

From the question we are told that

  The population mean is  [tex]\mu = 7.7 lbs[/tex]

   The standard deviation is [tex]\sigma = 1.1 \ lbs[/tex]

  The sample size is  n =  25

Generally the probability that a boy born full term in the US weighs less than 7 lbs is mathematically represented as

     [tex]P( X < 7 ) = P( \frac{X - \mu }{\sigma} < \frac{7 - 7.7 }{1.1 } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=>   [tex]P( X < 7 ) = P(Z <- 0.6364 )[/tex]

From the z table  the area under the normal curve to the left corresponding to    -0.6364  is

    [tex]P(Z <- 0.6364 ) =0.26226[/tex]

=>   [tex]P( X < 7 ) =0.26226[/tex]

Generally the standard error of mean is mathematically represented as  

       [tex]\sigma_{x} = \frac{\sigma }{\sqrt{n} }[/tex]

=>     [tex]\sigma_{x} = \frac{ 1.1 }{\sqrt{25} }[/tex]

=>     [tex]\sigma_{x} = 0.22[/tex]

Generally the probability that the average weight of 25 baby boys born in a particular hospital have an average weight less than 7 lbs is mathematically represented as

         [tex]P( \= X < 7 ) = P( \frac{\= X - \mu }{\sigma_{x}} < \frac{7 - 7.7 }{ 0.22 } )[/tex]

=>      [tex]P( X < 7 ) = P(Z <- 3.1818 )[/tex]

From the z table  the area under the normal curve to the left corresponding to    -3.1818  is

=>      [tex]P(Z <- 3.1818 ) = 0.00073[/tex]

=>      [tex]P( X < 7 ) = 0.00073[/tex]

**Need Help as soon as possible**

Find f(0), f(1), and f(5)
SEE PHOTO for details.

(I will give you POINTS)

Answers

Answer:

f(0)=1

f(1)=4

f(5)=-4.5

Step-by-step explanation:

0 and 1 are in the second domain, so you use the second equation

(0+1)^2=1^2=1

(1+1)^2=2^2=4

5 is in the third domain, so you use the third equation

-1/2(5)-2=-2.5-2=-4.5

Solve for x helppp(10 points)

Answers

Answer:

x = n - m

Step-by-step explanation:

To solve for x we have to isolate it.

[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] = [tex]n^{2}[/tex]

First, let's subtract  [tex]m^{2}[/tex] from both sides of the equation:

[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] -  [tex]m^{2}[/tex] = [tex]n^{2}[/tex] -  [tex]m^{2}[/tex]

Now the equation looks like this: [tex]x^{2} \\[/tex] =  [tex]n^{2}[/tex] -  [tex]m^{2}[/tex]

Now we have apply a square root to both sides to remove the exponent from the x: [tex]\sqrt{x^2}[/tex] = [tex]\sqrt{n^2 - m^2}[/tex]

The square root and the exponents cancel out on both sides and you're left with: x = n - m

To solve for x the equation is: x = n - m

I hope this helps! :)

In △LMN, S is the centroid. If NP=69 find SP.

Answers

Answer:

maybe in the 70s actually

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

The centroid divides each median in a ratio of 2:1.

A middle school mathematics teacher except a teaching position that pays 40,000 per year, each year the expected raise is $2000. How much total money with this teacher and teaching middle school math Mathematics over the first 30 years?

Answers

9514 1404 393

Answer:

  $2,070,000

Step-by-step explanation:

The series of salaries has a first term of $40,000 and a common difference of $2,000. The sum of them is given by the formula ...

  Sn = (2a1 +d(n -1))(n/2)

where a1 is the first term of the series, d is the common difference, and n is the number of terms.

In this problem, we have ...

  a1 = 40,000; d = 2,000; n = 30

so the sum is ...

  S30 = (2(40,000) +2,000(30 -1))(30/2) = (80,000 +58,000)(15)

  S30 = 2,070,000

The teacher will earn $2,070,000 over 30 years on this salary schedule.

Can y’all pls solve this

Answers

Answer:

1.

x=2+5x=0+7x=4x+1+37x=x+2+4

2.

x=2-33x=-2-4x=2x+7-5x=4x+6-7

Abby took an 8-question multiple-choice quiz. Suppose
that her probability of correctly answering any question is
0.75. What is Abby's probability of correctly answering
exactly 6 questions on the quiz?
O 0.311
0 0.623
O 0.240
0.089

Answers

It is 0.0623 hope it helps

A t-shirt printing company charges a one-time setup fee, plus a charge to print each t-shirt. The math club had 75 t-shirts printed for a cost of $424. The science club had 50 t-shirts printed for a cost of $299. What is the cost of having 170 t-shirts printed? *

Answers

Answer:

$826.70

Step-by-step explanation:

If 75 t-shirts cost $ 424, it implies that the value of each shirt is $ 5.65 (424/75). Now, in the case of the 50 shirts, the total value is $ 299, with which the value of each unit is $ 5.98.

Thus, we can see that in an increase of 50% of the units (from 50 to 75), the discount is of the order of, as it arises from the following calculation:

5.98 = 100

5.65 = X

((5.65 x 100) / 5.98) = X

94.48 = X

Thus, since 100 - 94.48 is 5.52, the discount made for the 25 shirts is 0.22% each unit (5.52 / 25). Thus, in the case of printing 170 t-shirts, taking into account this tariff system, and taking as a base price that of 50 t-shirts at $ 299, a discount of 0.22% would be made on each of the 120 remaining t-shirts. Thus, 120 t-shirts at $ 717.6 (5.98 x 120) would be added to the initial $ 299, on which a 26.4% discount (0.22 x 120) would be applied, with which the final price would be $ 527.7 (717 x 0.736).

Thus, the total price of the shirts would be $ 826.7 (that is, adding the base price of $ 299 plus the price of the 120 extra shirts of $ 527.7).

indicate in standard form the equation of the line passing through the given points, in the equation box below. X(0, 6), Y(5, 6)

Answers

Answer:

0x + y = 6

Step-by-step explanation:

Equation of the Line

The equation of a line passing through points (x1,y1) and (x2,y2) can be written as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

It can be later converted to any other form of the line. For example, the standard form is:

[tex]Ax + By = C[/tex]

Let's find the equation by using the given points (0,6) (5,6):

[tex]\displaystyle y-6=\frac{6-6}{5-0}(x-0)[/tex]

Operating:

[tex]\displaystyle y-6=\frac{0}{5-0}(x-0)[/tex]

y - 6 = 0

Or, equivalently:

0x + y = 6

This corresponds to a horizontal line

everything is on the image, this is a timed test so it would mean alot if you could help

Answers

Answer:

no its not 3 goes to two letter so no

Step-by-step explanation:

A garden is in the shape of a rectangle 90 m by 60 m.
Flowers are grown in 40% of the garden.
The rest of the garden is grass.
Work out the area of the garden that is grass.

Answers

Answer:

3240 sq meters

Step-by-step explanation:

Area of garden = 90*60= 5400 square meters.

Flowers grown on = 40%

So, grass grown on = (100 -40)% = 60%

60% of 5400 = 0.6*5400 = 3,240.

So, the area of the garden that is grass = 3,240 square meters

3,240 meters

The area is 90*60m which is 5,400m.

60% of the garden is grass (1-0.4=.6)

60% of 5,400 = 3,240 meters

1.682 inches rounded to the nearest whole number is 1 inches?

Answers

Answer:

False anything over the halfway point or .5 would be rounded to the number above in this case 1.682 would be rounded to 2.

Answer:

No, it is 2 inches because 6 rounds up.

Hope this helps and have a great day!

And please mark me brainliest if you can :)

Omar is about to start his final semester of college, and he doesn't have enough money saved to afford the $750 he needs in books. He's 21, so he's going to open his own credit card to pay for the books, and then not use it again. His plan is to pay $100 per month toward his bill, until it's paid off. Which credit card offer is the best offer for Omar?​

Answers

It depends on the interest and what his credit score is to be able to get the best offer with low interest. Need more info to answer this correctly.

Factorise fully the following 2x+8

Answers

2x +8= 2(x+4)
Where 2 is the common factor.

Which expression is equivalent to 3m+1-m?
A-2+m-1+m
B-1+m
C-3m-1
D-3m

Answers

Answer:

A

Step-by-step explanation:

Answer:

option  (a) is correct.

2 + m - 1 + m is an equivalent expression  to the given expression  3m+1-m

Step-by-step explanation:

Given expression  3m+1-m

We have to choose an equivalent expression from given options.

Equivalent expression are those expression that looks different but are same.

Like 4+2 = 6  and 3+ 3 = 6

Both have same value but looks differently.

Like terms are term having same variable with same degree.

Consider the given expression  3m+1-m

Simplify by adding like terms,

3m + 1 - m = (3-1) m + 1

Thus, (3-1) m + 1  = 2m + 1

Also 2m + 1 can be written as m + m + 2 - 1

Thus, option  (a) is correct.

Write the slope-intercept form of the equation of the line described. Through (-5, 2) parallel to y = 4

Answers

Y = 0x + b
2 = 0 + b, b = 2
Y = 2

Hi. :) if you are a "Blink" what album should i get? ​

Answers

Answer:

Changes

Step-by-step explanation:

#teamtrees #WAP (Water And Plant)

Answer:

♡ let's kill this love! ♡

you should definitely get "the album."

it has a very good rating and its great ☆

stan blackpink for clear skin, have a great day!

-madi/madeline

✧・゚: *✧・゚:・゚✧*:・゚✧・゚: *✧・゚:・゚✧*:・゚✧

Step-by-step explanation:

The GCF of 26 39 and 65

Answers

Answer: 13

Explanation:
26 is the smallest number. So do a factor tree for it (2 and 13). Then try dividing those factors with one of the other numbers (ex. 39/2 not equal to a whole number and 39/13 equals to a whole number). Use this factor for the leftover number (65).
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