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
Fofino [41]
3 years ago
5

The owner of a new restaurant wants to have seating for more than 75 people. There is currently a

Mathematics
1 answer:
Fudgin [204]3 years ago
6 0

Answer:

4m+3>75

Step-by-step explanation:

Given:

Number of people to be seated should be greater than 75.

Let n be the number of people. So,

n > 75

Now, there is a single private chef's table that can seat 3 people.

Tables bought by the owner = m

Number of people seated in 1 table = 4

So, number of persons that can be seated in m tables = 4\times m=4m

Now, total number of persons that can be seated in these two types of tables is the sum of 3 and 4m

Therefore, n = 4m+3

But, n>75

Hence, the inequality to show the situation is:

4m+3>75

You might be interested in
Sketch each parabola, labeling its focus and directrix. y=(1/10)(x-1)²-2
sergiy2304 [10]

The equation of parabola is y=\frac{1}{10}\left(x-1\right)^{2}-2

Comparing with the vertex form of the parabola: y=a(x-h)^2+k

a=\frac{1}{10},h=1,k=-2

Hence, the vertex of the parabola is given by (h,k) = (1, -2)

Now, vertex is the midpoint of the focus and the point on the directrix.

Distance, between vertex and focus is p and that of point on the directrix is p.

Now, let us find p

p=\frac{1}{4a}\\\\p=\frac{1}{4\cdot1/10}\\\\p=\frac{5}{2}

Thus, the focus is given by

(h,k+p)\\\\=(1,-2+5/2)\\\\=(1,1/2)=(1,0.5)

And the directrix is given by

y=k-p\\\\y=-2-5/2\\\\y=-\frac{9}{2}

Since, a >0 hence, it is an upward parabola.

The graph is shown in the attached file.

5 0
2 years ago
I need it now it’s important with number 7 and the button one
Sphinxa [80]

His model is incorrect because 20 x 7 is not 14, it is 140. If he had 140 instead of 14, he would have been correct.

I haven't done division like that in a long time, so this is what I think it will look like. I didn't add other work (multiplying 4 with #'s) but you can if you have to

8 0
3 years ago
A recent national survey found that high school students watched an average (mean) of 6.8 movies per month with a population sta
Margaret [11]

Answer:

Step-by-step explanation:

Given that x = no of movies high school students watched is N(6.8, 1.8)

Sample size = 36 and hence std error = 1.8/6 = 0.3

H_0: x bar = 6.8\\H_a: x bar < 6.8\\

(two tailed test)

Mean difference = 6.2-6.8 = -0.6

Test statistic z = -0.6/0.3= -2

p value = 0.02275

Since p <0.05 we reject H0.

There is evidence to show that college students watch fewer movies a month than high school students

7 0
3 years ago
7^5 • 7^6 as a single exponent
Tatiana [17]
Keep the base the same and add your exponents 7^11
7 0
3 years ago
Y=-2x+4<br>complete the missing value in the solution to the equation ​
Kisachek [45]
Im not sure but I think it’s Y/2-2 (the y and 2 is a fraction)
5 0
3 years ago
Other questions:
  • The distribution of average wait times in drive-through restaurant lines in one town was approximately normal with mean \mu = 18
    10·1 answer
  • On a piece of paper, graph Y = 2x - 3, what is the answer?
    5·1 answer
  • If 12 roses cost $18.96 what does 5 roses cost
    10·1 answer
  • 5) Heidi can type 120 words in 3 minutes. How many words can she type in 1
    12·2 answers
  • Determine the standard form of the equation of the line that passes through (-7,8) and (0,2)
    8·1 answer
  • The x2 + 6x – 27 = 0<br> What’s the answer for this question in factoring form
    10·1 answer
  • 2 consecutive odd integers whose product is 63
    6·1 answer
  • Find two numbers x and y such that a) 2x+y=100 and A=2x+2xy+y is maximized b) 2x+4y-15=0 and B= √x2+y2is minimized. Note that in
    7·1 answer
  • HELP ASAP <br> IF YOU TAKE THE POINTS IM REPORTING U<br> QUESTION IN PIC
    5·2 answers
  • Which pair of angles are the alternate exterior angles?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!