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hodyreva [135]
3 years ago
6

The owner of a new restaurant is ordering tables and chairs. he wants to have only tables for two and tables for 4. the total nu

mber of people can be seated in rest is 120, then write an equation to represent the situation. What do the variables represent?
Mathematics
1 answer:
Papessa [141]3 years ago
7 0

Answer:

4 M + 2 N = 120

Step-by-step explanation:

If we name "M" the number of tables for four people, and "N" the number of tables for two people, then the total number of people to be seated using M tables (of four people) would be the product "4 * M".

Similarly, the total number of people to be seated if the owner has N number of two person tables, would be: "2 * N".

Therefore, if the owner has M four people tables and N two person tables, the total number of people seated at the restaurant would be the addition:

4 * M + 2 * N. Since he wants this number to be 120, we complete the equation making this expression equal to 120:

4 * M + 2 * N = 120

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Pls help i dont understand
Alisiya [41]

The formula for the circumference is 2πr.

The diameter d is given, which is 2 times the radius r (d = 2r)

So you have to calculate π d = 3.142×1.8 ≈ 5.7

6 0
3 years ago
A diver was swimming 62 feet below sea level. He then dove 39 feet further down. He ascended 48 feet after a while. Find the new
Harman [31]

Answer:

53 feet

Step-by-step explanation:

if you start with 62 feet and add 39 feet because he went down 62+39 you get 101 then if you subtract 48 because he went up, 101-48 you get 53 feet

6 0
3 years ago
A car moves with an average speed of 45 miles/hour. How long does the car take to travel 90 miles? A. 2 minutes B. 2 hours C. 45
svlad2 [7]

We know that distance = rate(time). We need to solve for time here.

d = rt\\90 = 45t\\t = \frac{90}{45}\\t = 2


The car took 2 hours to travel 90 miles at a speed of 45 mi/hr


5 0
3 years ago
Read 2 more answers
A tree 10 meters high casts a 17.3 meter shadow.
sashaice [31]

Answer:

the angle of elevation of the sun is \approx 30^o

Step-by-step explanation:

Let's make a diagram of the tree, ground and inclination of the rays of the sun, so we understand what right angle triangle we have. Please see the attached image.

Notice that our unknown is the angle \theta, and that we know the size of the side opposite to it, and of the side adjacent to it. Therefore the most convenient trigonometric formula to use is the tangent of the angle because:

tan(\theta)=\frac{opposite}{adjacent} \\tan(\theta)=\frac{10}{17.3}\\\theta=arctan(\frac{10}{17.3})\\\theta\approx 30^o

5 0
3 years ago
Connor spent $66 on rookie cards and Hall of Fame cards how many of each type of car did he buy rookie cards are four for six Ha
barxatty [35]

Answer:

We conclude that he purchased 20  rookie cards and 8  Hall of Fame cards.

Step-by-step explanation:

We know that Connor spent $66 on rookie cards and Hall of Fame cards. We know that rookie cards are four for six Hall of Fame two for nine.

Therefore, we calculate:

5\cdot 6 +4\cdot 9=30+36=66

5·4= 20 rookie cards

4·2= 8 Hall of Fame cards

We conclude that he purchased 20  rookie cards and 8  Hall of Fame cards.

5 0
3 years ago
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