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
kozerog [31]
3 years ago
9

A particular restaurant can legally have only 150 people in it at one time. The tables in the restaurant can seat 4 people at a

time. The number of tables, t, in the restaurant can be represented by the inequality 4t < 150. What is the maximum number of tables the restaurant can have?

Mathematics
1 answer:
astra-53 [7]3 years ago
5 0
37.5 tables or round it up to 38

You might be interested in
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csec%5Cleft%28x%5Cright%29%7D%7B%5Ccos%5Cleft%28x%5Cright%29%7D-%5Cfrac%7B%5Csin%5
DanielleElmas [232]

Answer:

1

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that csc(x)=1/sin(x) and sec(x)=1/cos(x).

Thus:

\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}

=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }

Let's do the first part first: (Recall how to divide fractions)

\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}

For the second term:

\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}

So, all together: (same denominator; combine terms)

\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}

Note the numerator; it can be derived from the Pythagorean Identity:

sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)

Thus, we can substitute the numerator:

\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1

Everything simplifies to 1.

7 0
3 years ago
Tara wants to attend a four-year college to become a math teacher. Which statements explain the possible differences in total ye
Naddika [18.5K]
Answer:

- A public in-state college charges less for in-state tuition than for out-of-state tuition.
- Tara will most likely have to pay room and board expenses at an out-of-state public college, but might be able to commute to a public college in state.

Explanation:
If Tara wants to study out of state she could face higher tuition costs; public universities generally favor their residents with lower tuition costs, contrary to the charge for students who comes from other states.
Also, if she wants to study outside the state, Tara would have to analyze the costs of a residence and food that she will have to cover if she studies outside the state. On the contrary, if she studies in the state she could live with her family and only cover the transportation costs.

hope this helps!

7 0
3 years ago
Read 2 more answers
5. What value of x is not included in the domain of the function y =<br> X+ 12<br> ? Why?
Minchanka [31]
X=-12,0
Y=-0,12 hope this helps:/
8 0
3 years ago
Twenty-five sixth-grade students were asked to estimate how many hours a week they spend talking on the phone. This dot plot rep
RUDIKE [14]

Answer:

where is the dot plot??

Step-by-step explanation:

7 0
3 years ago
The next number in the pattern 1 5 25 125 625
chubhunter [2.5K]
5⁰ = 1
5¹ = 5
5² = 25
5³ = 125
5⁴ = 625
5⁵ = 3125
5 0
3 years ago
Other questions:
  • Dylan and sonia arw hiking different trails. If dylan hiked riverwalk and mountainview , and sonia hiked mountainveiw and pine ,
    12·1 answer
  • How do you move 0.167 to 2 decimal places
    6·2 answers
  • Determine whether the underlined value is a parameter or a statistic. A study of 6076 adults in public rest rooms found that 23%
    6·1 answer
  • Find the surface area of the triangular prism
    10·1 answer
  • Which of the following is the solution to lx-13 k 18 ?
    15·1 answer
  • У = 2х +7<br> y = x+8 <br> using substitution
    14·2 answers
  • Describe fully the single transformation that maps shape A onto shape B.
    14·1 answer
  • Which equation below and solution for X does the model represent??
    7·2 answers
  • Is 25 meters longer then 35 yards
    13·2 answers
  • D
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!