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
Mice21 [21]
3 years ago
12

The school cafeteria can hold at most 150 people write a number sentence to represent the number of people that can be in the ca

feteria at anytime during the day
Mathematics
2 answers:
Citrus2011 [14]3 years ago
5 0
I believe the expression would be 
x≤150
This means the cafeteria can hold 150 people or less :)
Hopefully this helped :)
Hunter-Best [27]3 years ago
4 0

Answer:

n\leq 150

Step-by-step explanation:

Let n represent the number of people that can be in the cafeteria at anytime during the day.

We have been given that the school cafeteria can hold at most 150 people. This means that number of people in the cafeteria would be less than or equal to 150.

We can represent this information in an inequality as:

n\leq 150

Therefore, our required inequality would be n\leq 150.

You might be interested in
A pack of cinnamon-scented pencils sells for $6.00. What is the sales tax rate if the total cost of the pencils is $6.24?
Evgen [1.6K]

Answer:

it would be a 4% sales tax

Step-by-step explanation:

6.24

-6.00

.24/6 (amount of dollars divided by the total tax)

.04 or 4%

5 0
2 years ago
Mr. Engen rented a car for 35.00 a day and 0.45 a mile . He had the car for 2 days and paid 166.75 . How many miles did he drove
liubo4ka [24]

d = days rented for

m = miles driven for

so the cost of the car is 35 bucks a day and 45 cents or $0.45 per mile driven, let's check it out for say a few days

1st day, 3 miles......................35(1) + 0.45(3)

2nd day, 2 miles..................35(2) + 0.45(2)

3rd day, say 5 miles............35(3) + 0.45(5)

dth day, and m miles..........35d + 0.45m

so the cost function could be written as C = 35d+0.45m.

now, we know for 2 days, d = 2, it cost 166.75 bucks, so

\bf C=35d+0.45m\implies \stackrel{C}{166.75}=35(\stackrel{d}{2})+0.45m\\\\\\166.75=70+0.45m\implies 96.75=0.45m\\\\\\\cfrac{96.75}{0.45}=m\implies 215=m

7 0
3 years ago
part 2. Find the value of the trig function indicated, use for that Pythagorean theorem to find the third side if you need it.​
andreev551 [17]

Answer:  \bold{5)\ \cos \theta=\dfrac{\sqrt{11}}{6}\qquad 6)\ \tan \theta =\dfrac{8}{17}\qquad 7)\ \cos \theta = \dfrac{4}{3}\qquad 8)\ \cos \theta = \dfrac{\sqrt{10}}{10}}

<u>Step-by-Step Explanation:</u>

Pythagorean Theorem is: a² + b² = c²  , <em>where "c" is the hypotenuse</em>

5)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3\sqrt{11}}{18}\quad \rightarrow \large\boxed{\dfrac{\sqrt{11}}{6}}

Note: (15)² + (3√11)² = hypotenuse²   →   hypotenuse = 18

6)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{8}{17}\quad =\large\boxed{\dfrac{8}{17}}

Note: 8² + 15² = hypotenuse²   →   hypotenuse = 17

7)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{20}{15}\quad \rightarrow \large\boxed{\dfrac{4}{3}}

Note: hypotenuse not needed for tan

8)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt{10}}\quad =\large\boxed{\dfrac{\sqrt{10}}{10}}

Note: 2² + 6² = hypotenuse²   →   hypotenuse = 2√10

8 0
2 years ago
Simplify the expression.<br> c^-6 d^4/c^-16 d^14
pochemuha

Answer:

\red{\frac{ {c}^{10}}{{d}^{10} } }

Step-by-step explanation:

\huge \: \frac{ {c}^{ - 6}  {d}^{4}}{ {c}^{ - 16}  {d}^{14} }  \\  \\  =  \huge \: \frac{ {c}^{16 - 6}}{{d}^{14 - 4} } \\  \\  =  \huge \:  \red{\frac{ {c}^{10}}{{d}^{10} } }

6 0
2 years ago
The area of a rectangular patio is (12x - 4) square units. What are possible dimensions of the patio?
MAVERICK [17]
You need two terms that multiply to (12x-4). The term on the outside needs to be a common multiple of 12 and 4. The common factors are 1, 2, and 4. Here are the following possible dimensions:
1(12x-4)
2(6x-2)
4(3x-1)
Hope this helps. 
4 0
3 years ago
Other questions:
  • What is the inverse of f(x)=16x^2
    11·1 answer
  • The function p(x)= -2000x^2 + 16000x - 5000 models the monthly profit P of a smoothie company, where x represents the price per
    5·1 answer
  • During a week-long dry spell, the water level in a pond decreased by 4 in. Per day, except for two days when it decreased by hal
    6·1 answer
  • Ginger wants to join a gym. She goes to the local gym and is told that there is a one-time fee of $100 to join and then a monthl
    7·1 answer
  • Angela is plowing a large field for spring planting. On the first day, she plowed 2/7 of the field. On the second day, she plowe
    13·1 answer
  • If 4 gallons of milk cost $16.76, how much would 7 gallon of milk cost
    7·1 answer
  • Are 12/17 and 10/15 equivalent fractions
    9·1 answer
  • Part B
    7·1 answer
  • Martin bought 5 bottles of olive oil. Each bottle contained quart ¾ of oil. What is the total number of quarts of olive oil that
    6·2 answers
  • Which table shows a proportional relationship between x and y?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!