All categories

3 years ago

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

Mathematics

1 answer:

hoa [83]3 years ago

6 0

There are 3 seats currently, and there will be 4m extra seats if he buys m tables.

So, buying m tables give a total of $4m+3$ seats.

If we want this total to be at least 75, we have

$4m+3\geq 75 \iff 4m\geq 72 \iff m\geq 18$

You might be interested in

Pls help I’ll brainlest due in 10 Minutes

kirill115 [55]

3n + 11 = 29
3n = 18
n = 6

7 0

2 years ago

Read 2 more answers

What is the equation of the line that passes through the point (-5,-2) and has a slope of -6/5

tatyana61 [14]

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

$y - y_1 = m(x - x_1) \\$

where

m is the slope

( x1 , y1) is the point

From the question the point is (-5,-2) and the slope is - 6/5

The equation of the line is

$y + 2 = - \frac{6}{5} (x + 5) \\ y + 2 = - \frac{6}{5} x - 6 \\ y = - \frac{6}{5} x - 6 - 2$

We have the final answer as

$y = - \frac{6}{5} x - 8 \\$

Hope this helps you

5 0

3 years ago

42x+45=56z<br> 43x+56=34z

Alecsey [184]

Question ? There is no question to help

5 0

2 years ago

If 48 eggs are used in the cafeteria today but the number expected to be used tomorrow is 30% less than that, how many eggs are

Ray Of Light [21]

Answer:

34 eggs are expected to be used tomorrow

30% of 48 = 14

48-14=34

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Question 10: If the product of all the numbers from 1 to 100 is divisible by 2^n, then what is the maximum possible value for n:

Klio2033 [76]

Answer: D

Step-by-step explanation:

100!=2*3*4*...*100

Counting which numbers are divisible by 2:

2,4,6,8,10,12,14,...,96,98,100 : 50 numbers (100/2=50)

Counting which numbers are divisible by 4=2²:

4,8,12,16,20,...96,100: 25 numbers (100/4=25)

Counting which numbers are divisible by 8=2³:

8,16,24,32,40,...,96: 12 numbers (100/8=12.5 ==> 12)

Counting which numbers are divisible by 16=2⁴:

16,32,48,...,96: 6 numbers (100/16=6.25 ==> 6)

Counting which numbers are divisible by 32=2⁵:

32,64,96 : 3 numbers(100/32=3.125 ==>3)

Counting which numbers are divisible by 64=2⁶:

64 : 1 number (100/64=1.5625 ==>1)

Sum of those numbers= 50+25+12+6+3+1=97

100! is divisible by 2⁹⁷.

Answer D

4 0

2 years ago

Read 2 more answers