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USPshnik [31]
3 years ago
8

Mrs. Sawyer estimates that a quiz will take students no fewer than 11 minutes but no more than 41 minutes to complete. She allot

s 1 minute for passing out the papers and instructions and then students will complete a 20-question quiz. Which compound inequality represents x, the average amount of time a student spends on each question?
Mathematics
2 answers:
sweet-ann [11.9K]3 years ago
7 0
11 ≤ 1 + 20x ≤ 41
11 is less than or equal to 1+20x is less than or equal to 41
nikklg [1K]3 years ago
3 0

Answer:

The inequality is given as:

11 ≤ 1+20 x ≤41

Step-by-step explanation:

Let 'x' represents the average amount of time a student spends on each question.

Now we are given that:

Mrs. Sawyer estimates that a quiz will take students no fewer than 11 minutes that means the total time has to be greater than or equal to 11 minutes.

also we are given that it will take no more than 41 minutes to complete.

i.e. the total time has to be less than or equal to 41 min.

Now She allots 1 minute for passing out the papers and instructions and then students will complete a 20-question quiz.

that means the inequality is given as:

11 ≤ 1+20 x ≤ 41

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8 &lt; -3x + 10<br><br>greater than sign meaning greater than or equal to!
goldfiish [28.3K]

Answer:

2/3 >=x

Step-by-step explanation:

8 =< -3x + 10

subtract 10 from each side

8-10 <= -3x+10-10

-2 <=-3x

divide by -3  (remember to flip the inequality)

-2/-3 >= -3x/-3

2/3 >=x

4 0
3 years ago
Read 2 more answers
A square with side x is changing with time where x(t)=3t+1. What is rate of change of the area of the square when t=2 seconds.
GuDViN [60]

Answer:

Rate of change of the area of the square is 42 units at t = 2.

Step-by-step explanation:

We note that the area of the square is given by: A(x) = x^2 but we aim to find \frac{dA}{dt}. But we can use the chain rule to pull out that dA/dt. Doing so gives us:

\frac{dA}{dt} = \frac{dA}{dx} \times \frac{dx}{dt}.

Now, \frac{dA}{dx} = 2x (by the power rule and \frac{dx}{dt} = 3.

But since we have "x" and not "t", we want to find what x is when t = 2. Substituting t = 2 gives us x(2) = 3(2) + 1 = 7.

So, finally, we see that:

\frac{dA}{dt} = 2(7) \times 3 = 14 \times 3 = 42.

7 0
4 years ago
What is the scale factor of triangle ABC to triangle XYZ?
Alex

9514 1404 393

Answer:

  C.  6

Step-by-step explanation:

XY/AB = 30/5 = 6

Triangle ABC is scaled by a factor of 6 to make triangle XYZ.

5 0
3 years ago
My question is in the attachment.<br>​
Nikolay [14]

Answer:

5 and 25

Step-by-step explanation:

let the son's age be x then the father's age is x + 20

In 5 years

son = x + 5 and father = x + 20 + 5 = x + 25

Then

x + 25 = 3(x + 5) ← father is three times as old as son

x + 25 = 3x + 15 ( subtract x from both sides )

25 = 2x + 15 ( subtract 15 from both sides )

10 = 2x ( divide both sides by 2 )

5 = x and x + 20 = 5 + 20 = 25

si=on is 5 and father is 25

8 0
3 years ago
Read 2 more answers
Population density is the number of people per unit of area. What is the population density of a state that has 1,627,260 people
Tresset [83]

Answer:

             = 1092 people/ sq mile  

Step-by-step explanation:

Population density is the number of people per unit of area.


We know the population is 1627260

The are is 1490 mi ^2

Population density = 1627260/1490

                                 =1092.120805  people / sq mile

Round to the nearest whole number

                                  = 1092 people/ sq mile  

6 0
3 years ago
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