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
Gennadij [26K]
3 years ago
12

Fifty people are seated in a movie theater. The maximum capacity of the theater is 425 people. Write an inequality to represent

the number p of additional people who can still be seated.
Mathematics
1 answer:
timurjin [86]3 years ago
3 0
This is the concept of inequalities:
maximum capacity for the theater=425
Number of people in the theater=50
thus the inequality for the that will represent the number p of additional people who can be seated will be:
50+p≤425
hence:
p≤(425-50)
p≤375

Answer: p≤375
You might be interested in
lara chooses a square number she rounds it to the nearest hundred her answer is200 write all the possible square numbers lara co
velikii [3]
169 (13 squared) 196 (14) 225 (15)
7 0
3 years ago
Could i get some help 14m+2n-5(m-4n)-6n
frosja888 [35]

Answer:

9m + 16n

Step-by-step explanation:

14m+2n-5m+20m-6n

9m+2n+20n-6n

add like variable

9m + 16n

3 0
2 years ago
You deposit $400 in an account earning 2% interest compounded annually. How much will you have in the account in 20 years?
iVinArrow [24]

Answer:

Approximately $594.38

Step-by-step explanation:

Use the formula: y = a(1 + r)^t
a is the initial amount
r is the percent of interest in decimal form
t is the time in years
y is the money after t years

Substitute the values given in the problem into the equation:
400(1+0.02)^20
Use a calculator or solve manually
Around 594.38

6 0
1 year ago
How do you do this problem? I need to know how you found the answer.
Alexxandr [17]

to get the equation of a line, we simply need two points, say for the Red one ... notice in the graph the lines passes through (0,2) and (-1,6), so let's use those


\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-2}{-1-0}\implies \cfrac{4}{-1}\implies -4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-2=-4(x-0) \\\\\\ y-2=-4x\implies \blacktriangleright y=-4x+2 \blacktriangleleft


now, for the Blue one, say let's use hmmm it passes through (0,2) and (1.6)


\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{6}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-2}{1-0}\implies \cfrac{4}{1}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-2=4(x-0) \\\\\\ y-2=4x\implies \blacktriangleright y=4x+2 \blacktriangleleft

3 0
3 years ago
Find the vertex and y intercept of the quadratic function​
riadik2000 [5.3K]

Answer:  5) Vertex = (2, 28)   y-intercept = 40  → (0, 40)

               6) Vertex = (2, 11)     y-intercept = 7    → (0, 7)

<u>Step-by-step explanation:</u>

The y-intercept of the equation is when x = 0. It is the c-value when given in standard form: y = ax² + bx + c

To find the vertex, use the Axis of Symmetry equation to find the x-value

x = -b/(2a). Then plug the x-value into the equation to find the y-value.

5) y = 3x² - 12x + 40

         ↓       ↓       ↓

     a=3    b= -12  c=40

\text{AOS:}\quad x=\dfrac{-b}{2a}\quad =\dfrac{-(-12)}{2(3)}\quad =\dfrac{12}{6}\quad =2

Min:  y = 3(2)² - 12(2) + 40

           = 3(4)  - 24 + 40

           = 12 - 24 + 40

           = 28

Vertex: (2, 28)    y-intercept = 40

*******************************************************************************************

6) y = -x² + 4x + 7

         ↓      ↓      ↓

    a= -1    b=4  c=7

\text{AOS:}\quad x=\dfrac{-b}{2a}\quad =\dfrac{-(4)}{2(-1)}\quad =\dfrac{-4}{-2}\quad =2

Max:  y = -(2)² + 4(2) + 7

           = -(4)  + 8 + 7

           = -4 + 8 + 7

           = 11

Vertex: (2, 11)    y-intercept = 7

5 0
2 years ago
Other questions:
  • Jack jumps 40 times per 4 minutes. How many times does he jump per 1 minute?
    8·1 answer
  • Using the technique in the model above, find the missing sides in this 30°-60°-90° right triangle.
    13·2 answers
  • Solve 5x=125.<br> X=25<br> x=3
    6·1 answer
  • Identify the range of the function y=4x-2 domain={-1,-2,-3,-4}​
    13·1 answer
  • What is the solution of the inequality-0.4x - 1.2 &gt; 0.8
    8·1 answer
  • For what values of a can you solve the linear system ax+3y=2 and 4x+5y=6 by elimination without multiplying first?
    6·1 answer
  • 1<br> 3x +2y - 5z<br> If<br> y-42<br> X<br> =<br> find the value of x when y = 6 and z<br> 2<br> 3y
    8·1 answer
  • What is r - 8.5 = -2.1 pls help♥️
    8·2 answers
  • I need the steps and answers please
    9·1 answer
  • What is the probability of first drawing a red card then a king then a black card out of a deck of 52 cards rounded four decimal
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!