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Finger [1]
2 years ago
8

It costs $350 to rent a room for a party. You also plan to hire a caterer that charges $9.25 per person. Write and solve a linea

r equation to find the total cost of 60 people attend the party.
Mathematics
2 answers:
Rus_ich [418]2 years ago
5 0
350+9.25x so it would be $905
Naya [18.7K]2 years ago
3 0

Answer:

C(x) = 350 + 9.25x

The total cost of the part attended by 60 persons is $ 905

Step-by-step explanation:

Let x be the number of persons in the party,

Since, the charges for a person =$9.25,

So, the charges for x persons = 9.25x

Rent charges = $ 350,

Thus, total cost of the party attended by x persons, ( Say C(x) ),

C(x) = 350 + 9.25x

Which is the required equation,

If x = 60,

C(60) = 350 + 9.25(60) = $ 905

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Which graph shows the solution to the system of linear inequalities? y > Two-thirdsx + 3 y ≤ Negative one-thirdx + 2
masya89 [10]

Answer:

The solution in the attached figure

Step-by-step explanation:

we have

y > \frac{2}{3}x+3 ----> inequality A

The solution of the inequality A is the shaded area above the dashed line y=\frac{2}{3}x+3

The slope of the dashed line is positive

The y-intercept of the dashed line A is (0,3)

The x-intercept of the dashed line A is (-4.5,0)

y\leq -\frac{1}{3}x+2 ----> inequality B

The solution of the inequality B is the shaded area below the solid line y=-\frac{1}{3}x+2

The slope of the solid line is negative

The y-intercept of the solid line B is (0,2)

The x-intercept of the solid line B is (6,0)

The solution of the system of inequalities is the shaded area between the shaded line and the solid line

using a graphing tool

see the attached figure

3 0
2 years ago
Read 2 more answers
Discuss the validity of the following statement. If the statement is always​ true, explain why. If​ not, give a counterexample.
Zarrin [17]

Correction:

Because F is not present in the statement, instead of working on​P(E)P(F) = P(E∩F), I worked on

P(E∩E') = P(E)P(E').

Answer:

The case is not always true.

Step-by-step explanation:

Given that the odds for E equals the odds against E', then it is correct to say that the E and E' do not intersect.

And for any two mutually exclusive events, E and E',

P(E∩E') = 0

Suppose P(E) is not equal to zero, and P(E') is not equal to zero, then

P(E)P(E') cannot be equal to zero.

So

P(E)P(E') ≠ 0

This makes P(E∩E') different from P(E)P(E')

Therefore,

P(E∩E') ≠ P(E)P(E') in this case.

8 0
2 years ago
An ice cream shop chose 25 customers at random and asked each to name a favorite flavor. The results are summarized in the pie c
Artemon [7]

Answer: 6 customers

Step-by-step explanation:

From the pie chart,

Given;

Cookies and creams = 24%

Mint chocolate chips = 28%

Straw berry = 20%

Vanilla = 12

Butterscotch = 16

No of customers = 25

Solution

How many of the 25 customers named cookies and cream

= 25 x 24/100

= 25 x 0.24

= 6 customers

6 customers named cookies and cream

3 0
2 years ago
Read 2 more answers
Fatima conducted an experiment where she asked people to estimate the temperature of glasses of water. She recorded how far the
LUCKY_DIMON [66]

Answer:

0.75°C

Step-by-step explanation:

Person A     Person B          Person C

-3                   4                      8

-1                   -4                     -2

0                    2                      5

2                     -3                   1

To get Fatima mean value, we have to add all the given values together  

= - 3 + 4 + 8 - 1 - 4 - 2 + 0 + 2 + 5  +  2  - 3  + 1

= 9  

Estimate is 9 deg above Actual Temperature in 12 readings

The formula for our Mean Value will be, the added values divided by actual temperatures  

Added values = 9  

Actual temperature = 12  

Mean value = 9 ÷ 12 = 0.75°C above actual Temperature

8 0
2 years ago
Eight less than four times a number is less than 56. What are the possible values of that number
yan [13]
Let unknown number be x.

Given,

4x - 8 < 56

4x < 64

x < 16

Hence, x is any value less than 16.
4 0
2 years ago
Read 2 more answers
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