5(a + 7) + 2(a + 4)<br> Does anyone know the answer

A restaurant offers a catering service which costs $25.00 per person with a $119.50 service charge. For parties of 50 or more pe

Molodets [167]

Answer:

T1(n) = 25n +119.50 where n belongs to $1 \leq n$ .

T2(n) = 20n + 59 where n belongs to $50\leq n$ .

Step-by-step explanation:

We are given two situations first is for normal days and the other is for days when 50 or more people are going to this restaurant for the party.

Let the number of person going for this restaurant be "n"

For normal day, we are given

catering service = $25 per person

service charge = $119.50

Let the total cost of the restaurant be T

Cost for this case will be T1

T1(n) = 25n +119.50 where n belongs to $1 \leq n$

similarly for the case when 50 or more than that goes to this restaurant for party.

cost after discount

Catering service = $20.00 per person

service charge = $59.00

now the cost of this case will be T2

T2(n) = 20n + 59 where n belongs to $50\leq n$ .

Therefore the two piecewise linear functions represents the total cost of the restaurant for serving n people.

7 0

3 years ago

Which number is a solution of the inequality?

Alex777 [14]

C. 2 is greater than 1.9

7 0

4 years ago

Read 2 more answers

5 to the 2th power minus negative 3 to the 2to power

nevsk [136]

5 to the 2nd power is 25, and 3 to the 2nd power is -9, so 16 is your answer.

8 0

3 years ago

Please answer these questions!!!!!! Fast!!!!!!

vodka [1.7K]

Answer:

For an object of mass M and velocity V, the kinetic energy is written as:

K = (M/2)*V^2

And also remember that:

1 J = 1 kg*m/s

a) we know that:

Mass = M = 0.7 kg

Velocity = V = 60 m/s

Then the kinetic energy is:

K = (0.7kg/2)*(60m/s)^2 = 1,260 J

b) We know that in a closed system, the energy is conserved.

This means that if we hit an object with an energy E, the maximum energy that we can give to that object is E.

Then if we have a bat of mass M = 2kg, and velocity V = 30m/s

The kinetic energy of the bat (before hitting the ball) is:

K = (2kg/2)*(30m/s)^2 = 900 J

Obviously, this will never happen, because after we hit the ball the bat keeps moving for a bit, meaning that it still has some kinetic energy and it did not transfer all of the kinetic energy to the ball. But we can not have a more precise estimation, because we do not know the mass of the ball and a lot of other needed information, so we can conclude that, the theoretical maximum energy that could be given to the ball, is 900 J.

c) Here we have:

Mass = M = 1950 kg

Velocity = V = 10 m/s

then the energy is:

K = (1950kg/2)*(10 m/s)^2 = 97,500 J.

d) Notice that in the equation of the kinetic energy we have the velocity squared, which means that the contribution of the velocity is larger than the contribution of the mass.

Then the option with the largest velocity most likely would have the largest kinetic energy, then the correct option is the second counting from the top, with a kinetic energy equal to:

K = (0.25 kg/2)*(50m/s)^2 = 312.5 J.

5 0

3 years ago

Circle the reason for each of the following manipulations used to simplify the product (8x^2) (3x^7) ?

ipn [44]

Answer:

Running Home and the impact of point of view on events in the poem, “The Sailor.” Use specific examples from BOTH texts to support your answer.

CAN YOU TURN THIS PROMPT INTO A HOW OR WHY QUESTION??

_________________________________________________________

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

5(a + 7) + 2(a + 4) Does anyone know the answer