1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
steposvetlana [31]
3 years ago
14

In a certain town, the wind speed, x, in km/h on a certain day is described by two statements: If 2 times the wind speed is incr

eased by 2, the wind speed is still less than 46 km/h. Twice the wind speed minus 27 is greater than 11 km/h. Part A: Create a compound inequality to represent the wind speed range. (3 points) Part B: Can the wind speed in this town be 20 km/h? Justify your answer by solving the inequalities in Part A. (3 points) Part C: The average wind speed in another town is 23 km/h, but the actual wind speed is within 4 km/h of the average. Write and solve an inequality to find the range of wind speed in this town.
Mathematics
1 answer:
hodyreva [135]3 years ago
4 0
<span>1) if 2 times the wind speed is increased by 2, the wind speed is still less than 46 km/h.

=> 2x + 2 < 46

2) Twice the wind speed minus 27 is greater than 11 km/h.

=> 2x - 27 > 11

Part A: Create a compound inequality to represent the wind speed range. (3 points)


from 2x + 2 < 46

=> 2x < 44

=> x < 22

from 2x - 27 > 11

=> 2x > 11 + 27

=> 2x > 38

=> x > 19

The set of inequalities is

2x + 2 <46
2x - 27 > 11

The solution is x < 22 and x > 19, which is:

19 < x < 22 <----- answer

Part B: Can the wind speed in this town be 20 km/h? Justify your answer by solving the inequalities in Part A. (3 points)

Yes, the wind speed can be 20 km/h, because the solution of the inequality is the range (19,22).

Part C: The average wind speed in another town is 23 km/h, but the actual wind speed is within 4 km/h of the average. Write and solve an inequality to find the range of wind speed in this town.

x ≥ 23 - 4 => x ≥ 19

x ≤ 23 + 4=> x ≤ 27

=> 19 ≤ x ≤ 27

=> [19,27]
</span>
You might be interested in
(20 POINTS AND BRAINLIEST ANSWER!!!)
Snowcat [4.5K]
The first is C. The second is A.
4 0
3 years ago
Read 2 more answers
Translation of the length of a rectangle is 2 feet greater than twice its width. If the perimeter is 25 feet, fine the width
blsea [12.9K]

Answer:

Step-by-step explanation:

Perimeter of a rectangle=(length+width)×2

Let W=x, L=2x+2

25=[(2x+2)+x]×2

25=[2x+2+x]×2

Solve for x

25/2=3x+2

25/2-2=3x

25-4/2=3x

21\2=3x=7/2=x

8 0
3 years ago
Complete each trinomial such that it can be rewritten in the form a(x+b)^2 or a(x-b)^2
scoundrel [369]

The value of the expression  in the form a(x+b)^2 is 1.5(x+2)^2 - 4

<h3>Vertex Form of a quadratic expression</h3>

Given the quadratic expressions

1.5x^2+6x+......

1.5(x^2 + 4x)

Using the completing the square method

The coefficient of x = 4

Half of the coefficient = 4/2 = 2

The square of the result = 2^2 = 4

The equation is expressed as:

f(x) = 1.5(x^2+4x+ 4) - 4

f(x) = 1.5(x+2)^2 - 4

Hence the value of the expression  in the form a(x+b)^2 is 1.5(x+2)^2 - 4

Learn more on completing the square method here: brainly.com/question/1596209

6 0
2 years ago
Which graph shows exponential growth?
nevsk [136]

Answer:

the answer is B

Step-by-step explanation:

just did the test

5 0
3 years ago
Read 2 more answers
The flag of a country contains an isosceles triangle.​ (Recall that an isosceles triangle contains two angles with the same​ mea
weeeeeb [17]

31 degrees, 31 degrees, 118 degrees

Step-by-step explanation:

Step 1 :

Let x be the measure of 2 angles of the given isosceles triangle with same measure

Let y be the measure of  3rd angle

So we have x + x + y = 180

Step 2 :

Given that the measure of  3rd angle of  triangle is 25​° more than three times the measure of either of the other two​ angles

So we have , y = 3 x + 25

Step 3:

Substituting for y in the first equation we have,

x + x + 3 x + 25 = 180

=> 5 x + 25 = 180

=> 5 x = 180-25 = 155

=> x = 155/5 = 31

Hence the 2 angles of the triangle are 31 degrees.

Step 4:

we have y = 3 x + 25

=> y = 3 * 31 + 25 = 118

Hence the 3rd angle of given triangle is 118 degrees

8 0
3 years ago
Other questions:
  • So far a total of 48 tickets have been sold for the school play for a total revenue of $220. How many student tickets have been
    10·1 answer
  • Solve these 3 separately, please!:
    14·2 answers
  • Find the distance between (2, -75) and (10, 235).
    6·2 answers
  • What is the probability of an integer from 1 to 60,000 not having the digit 6?
    10·1 answer
  • What is the volume of a cone with a radius of 2 and a height of 19?
    11·2 answers
  • What is the simplified expression for 8x + 6 - 14 + 7x - 3y
    5·1 answer
  • Please help me pick the right answer
    6·2 answers
  • What is m∠1?..............
    15·1 answer
  • PLESE HELP ALGEBRA 1 QUESTION
    7·2 answers
  • Find the volume of a pyramid with a square base, where the side length of the base is 4.7\text{ in}4.7 in and the height of the
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!