Solve 15 ≥ -3x or 2/5x ≥ -2.

Answer:

16 ; 16.5

Step-by-step explanation:

Given the data:

X = 9, 20, 17, 21, 16, 13

1.) The mean of the data:

Σ(X) / n

n = sample size ; n = 6

(9 + 20 + 17 + 21 + 16 + 13) / 6

= 96 / 6

= 16

2.) The median :

Rearranged data : 9, 13, 16, 17, 20, 21

1/2 (n + 1)th term

1/2 (6 + 1)th term

1/2 (7) th term

The 3.5 th term is the median:

(3rd + 4th) / 2

(16 + 17) / 2

33 /2 = 16.5

Answer:

44 magazines need to be sold

Step-by-step explanation:

Y=Mx+b

400=12x-124

524=12x

43.6667 or 43 (2/3)

round up since you cant sell 2/3 of a magazine

Answer:

the inequality is 124+12x≤400

Step-by-step explanation:

x=23

hope this helps

This is equivalent to approximately 12.917 feet.

===================================================

Work Shown:

(10 inches)/(2 days) = (x inches)/(31 days)

10/2 = x/31

10*31 = 2*x ... cross multiply

310 = 2x

2x = 310

x = 310/2

x = 155

Keep in mind that this water is being drained on a fairly continuous basis. This means that not all of the water is sticking around (we'd hope not anyway) at the same moment in time.

Note: 155 inches = 155/12 = 12.917 feet approximately.

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

Alternative method:

If the town got 10 inches in 2 days, this means it rains at a unit rate of 10/2 = 5 inches per day.

Multiply that by 31 days and we get 5*31 = 155 inches of total rain.

9514 1404 393

Answer:

  x = 11

Step-by-step explanation:

A 2-digit repeating decimal fraction will have two 9s as the denominator. In this case the fraction can be reduced.

  [tex]0.\overline{27}=\dfrac{27}{99}=\dfrac{3}{11}[/tex]

Comparing this to 3/x, we see that x = 11.

Answer:

11

Step-by-step explanation:

sorry if im wrong

Answer:

Angle E

Step-by-step explanation:

Answer:

Step-by-step explanation:

D  b/c you know that the two angles add to 180°

The solution is Option D.

The value of x can be calculated from the equation

( x + 40 ) + ( 2x + 20 ) = 180

What are Parallel Lines Cut by Transversal?

Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.

Corresponding angles

When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position

Alternate Interior Angles

Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.

Alternate Exterior Angles

The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.

Consecutive Interior Angles

When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles

Given data ,

Let the parallel lines be j and k

The transversal line is m

Now , the value ( 2x + 20 )° lies on one side of the transversal line

And the value ( x + 40 )° lies on one side of the transversal line

The total angle of a line is 180°

So ,

The sum of ( 2x + 20 )° and ( x + 40 )° will be 180°

Therefore , The solution is ( x + 40 ) + ( 2x + 20 ) = 180

Hence , The value of x can be calculated from the equation

( x + 40 ) + ( 2x + 20 ) = 180

To learn more about angles in parallel lines click :

https://brainly.com/question/28182928

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Answer:

77.245 i used me brane and paper and give brainliest and your in shcool why why why cheat

Step-by-step explanation:

Answer:

680.745

Step-by-step explanation:

hope this helps.

Answer:

327.08 m/s

Step-by-step explanation:

Given that:

Length of pipe = 2.96m

4th harmonic frequency = 221 Hz

Speed of wave in the horn :

Speed of wave (v) = fλ

For 4th harmonic :

Wavelength, λ = (2/4)L

λ = L/2 ; 2λ = L

2λ = 2.96

λ = 2.96 / 2

λ = 1.48 m

Hence, speed of wave in the horn = 221 * 1.48 = 327.08 m/s

Answer:

True

Step-by-step explanation: Trust me

Answer:

80 percent

Step-by-step explanation:

Because there are green tiles so the possibility is 80 percent

Answer:

4lb and 6oz

Step-by-step explanation:

number one is

Step-by-step explanation:

x° + (x - 34)° = 180°. (C-angles)

Thereforr 2x - 34 = 180 and x = 107.

x° = 107°.

(x - 34)° = 73°.

Answer:

slope = 4

Step-by-step explanation:

y2-y1/x2-x1 = slope

-4 - 4 / 3 - 5 = slope

-8/-2 = slope

8/2 = slope

4/1 = slope

4 = slope

Answer:

A) The point( -1 , 5)  is satisfies the  given graph  [tex]g(x) = (\frac{1}{5} )^{x}[/tex]

B) The point( 3 , 1/125)  is satisfies the  given graph  [tex]g(x) = (\frac{1}{5} )^{x}[/tex]

Step-by-step explanation:

Explanation:-

Given graph  

               y =      [tex]g(x) = (\frac{1}{5} )^{x}[/tex]

Put the point ( -1 , 5)

Put y =5 and x =-1

            [tex]5 = (\frac{1}{5} )^{-1} = 5[/tex]

The point( -1 , 5)  is satisfies the  given graph

ii)

Given graph  

               y =      [tex]g(x) = (\frac{1}{5} )^{x}[/tex]

             [tex]\frac{1}{125} = (\frac{1}{5} )^{3} = \frac{1}{125}[/tex]

The point( 3 , 1/125)  is satisfies the  given graph  [tex]g(x) = (\frac{1}{5} )^{x}[/tex]

Answer:

[tex]\frac{12a^3b^6c^5}{3a^2b^4c^5}=4ab^{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{12a^3b^6c^5}{3a^2b^4c^5}[/tex]

Required

Simplify

[tex]\frac{12a^3b^6c^5}{3a^2b^4c^5}[/tex]

To solve this, we apply the following law of indices:

[tex]\frac{m^x}{m^y} = m^{x-y}[/tex]

[tex]\frac{12a^3b^6c^5}{3a^2b^4c^5}[/tex] becomes

[tex]\frac{12}{3}a^{3-2}b^{6-4}c^{5-5}[/tex]

[tex]\frac{12}{3}a^{1}b^{2}c^{0}[/tex]

[tex]c^0 = 1[/tex]; So, we have

[tex]\frac{12}{3}a^{1}b^{2}*1[/tex]

Finally,

[tex]4ab^{2}[/tex]

Hence:

[tex]\frac{12a^3b^6c^5}{3a^2b^4c^5}=4ab^{2}[/tex]

Answer:

The three points that lie on a line y = -2/5x with a slope -2/5 will be:

Please check the attached graph also.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

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

where m is the slope and b is the y-intercept

Given

slope = m = -2/5

We suppose the line passes through the origin.

so b = 0

substituting m = -2/5 and b = 0 in the slope-intercept form

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

y = -2/5x + 0

y = -2/5x

Thus, the equation of line with the slope m = -2/5 and passes through the origin (0, 0) will be:

y = -2/5x

As the equation of line passes through (0, 0), thus the point (0, 0) lies on the line.

Putting x = 0 in the equation y = -2/5x

y = -2/5 × (0)

y = 0

Thus, (0, 0) is the point which also passes through the line

Putting x = 5 in the equation y = -2/5x

y = -2/5 × 5

y = -2

Thus, (5, -2) is the point which also passes through the line

Now, putting x = 10 in the equation y = -2/5x

y = -2/5 × 10

y = -4

Thus, (10, -4) is the point which also passes through the line.

Thus, the three points that lie on a line y = -2/5x with a slope -2/5 will be:

Please check the attached graph also.

Answer:

Step-by-step explanation:

This is easy. The first step here is to simplify the numbers inside the parentheses.

10 1/4 + 61 = 71 1/4

3 3/5 - 3 1/2 = 3 6/10 - 3 5/10 (We needed to get both with like denominators, so we raised the fractions to an equivalent denominator.)

3 6/10 - 3 5/10 = 1/10

Now, we will do the operation outside of the parentheses.

71 1/4 - 1/10 = 71 5/20 - 2/20  = 71 3/20

Answer:

number 1

Step-by-step explanation:

Answer:

im not sure how the data should be interpreted but here is the distribution. It goes up by .416

Step-by-step explanation:

the average of the first 8 games is 24

the average of the 12 games is 24.416

Answer:

5

Step-by-step explanation:

Given that:

Space left on flash drive = 3/71 * 10^7 bytes = 0.0422535 * 10^7 = 422535.21 bytes

Size of each file = 8.2 * 10^4 bytes = 82000 bytes

Number of files that can be copied :

(422535.21) / (82000)

= 5.1528684

Number of files that can be copied = 5 files

Answer:

1:96

2:64

3:65

5:66

Answer:

1:56...................

Answer:

Dana has 20 French fries.

They can purchase 5 bottles.

Step-by-step explanation:

1.

Let x rep. the amount of French fries Johnathan has.

Let 2x rep. the amount of French fries Abdullah has.

Let 10x rep. the amount of french fries Dana has.

If :

x+2x+10x=26

13x=26

x=2

So Johnny boy has 2 french fries which means Dana has 10 times as much as that.

10(x)=10(2)

10x=20

Therefore Dana has 20 French fries.

2.

Well

5.12+2.77+4=$11.89

11.89/1.99= APPROX. 5.9

Note you can't buy a fraction of a bottle. We gotta round down for this question cause you can't just give less amount of cash to get an extra bottle even if it's very close. Unless your teacher said to round something.

Therefore they can only purchase 5 bottles.

Answer:

$141.12

Step-by-step explanation:

Initial investment = $196

After 8 years with 9% interest rate it becomes: $337.12

The amount of interest will be:

= $337.12 - $196

= $141.12

Answer:

1/3 would be the chances you'd pick purple, because there's only 1 in 3 that's purple out of all 3 marbles.

With green it would be 2/3 because there's twice the number of green marbles than purple.

If there's 1 of purple and 1 of green, the probability would then be 1/2 of picking either colour.

Answer:

might be 22.5 i think but i'm not sure correct me if i'm wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

the range is the difference between the largest and the smallest value

4.0-0.8=3.2

Answer:

7  1/2 feet

Step-by-step explanation:

Answer:

6 ; 9 ; 11 ; 12.5; 14

B.) 3.5

Step-by-step explanation:

Given the data:

6 9 9 10 11 11 12 13 14

a.) The low = 6 (lowest value in the dataset)

b.) Q1 = Lower quartile

Q1 = 1/4(n + 1)th term

n = sample size = 9

Q1 = 1/4(9 + 1) ; 1/4(10) = 2.5th term

Q1 = (2nd + 3rd term) / 2 = (9 + 9) / 2 = 9

Median Q2:

Q2 = 1/2(9 + 1) ; 1/2(10) = 5th term = 11

Upper Quartile Q3:

Q3 = 3/4(9 + 1) ; 3/4(10) = 7.5th term

Q3 = (7th + 8th term) / 2 = (12 + 13) / 2 = 12.5

Interquartile range (Q3 - Q1)

(12.5 - 9) = 3.5

The high = 14 (highest value in the dataset)

Answer:

Yes, there is enough information to prove that the triangles are congruent.

ASA POSTULATE

Step-by-step explanation:

[tex] In\:\triangle PQR \: and \triangle TSR\\[/tex]

[tex] \angle PQR \cong \angle TSR...(given) \\[/tex]

[tex] QR\cong SR..... (given) \\[/tex]

[tex] \angle PRQ \cong\angle TRS\\(Vertical \: \angle s) \\[/tex]

[tex] \therefore \triangle PQR \cong \triangle TSR\\(ASA\: postulate) [/tex]

Answer:

Step-by-step explanation:

Given

We have two angles and included side congruence which is ASA