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Finger [1]
3 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]3 years ago
5 0
350+9.25x so it would be $905
Naya [18.7K]3 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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Mei Su had 80 coins. She gave most of them to her friends in such a way that each of her friends got at least one coin and no tw
Mama L [17]

Answer: 12 friends.

Step-by-step explanation:

the data we have is:

Mei Su had 80 coins.

She gave the coins to her friends, in such a way that every friend got a different number of coins, then we have that:

The maximum number of friends that could have coins is when:

friend 1 got 1 coin

friend 2 got 2 coins

friend 3 got 3 coins

friend N got N coins

in such a way that:

(1 + 2 + 3 + ... + N) ≥ 79

I use 79 because "she gave most of the coins", not all.

We want to find the maximum possible N.

Then let's calculate:

1 + 2 + 3 + 4 + 5 = 15

15 + 6 + 7 + 8 + 9 + 10 = 55

now we are close, lets add by one number:

55 + 11 = 66

66 + 12 = 78

now, we can not add more because we will have a number larger than 80.

Then we have N = 12

This means that the maximum number of friends is 12.

5 0
4 years ago
Solve the system of linear equations by substitution.<br> 3x + y = -9<br> y=5x+7
11Alexandr11 [23.1K]

Answer:

The solution is x = -2, y = -3

Step-by-step explanation:

Let's start with the equation 3x + y = -9

Substitute the y for 5x+7 seen in the second equation

Now you have 3x + (5x+7) = -9

Lets solve:

Let's add the x's

Now we have 8x + 7 = -9

Substracy seven from each side

Now we have 8x = -16

Now let's divide 8 on each side

Now we have x = -2

Now lets plug in -2 to the second equation

The second equation is y = 5x+7

When we plug in -2 we get y=5(-2)+7

We multiply

We now have y = -10+7

Add

y = -3

The solution is x = -2, y = -3

8 0
3 years ago
Translate this sentence into an equation. The product of Mabel's score and 6 is 90 . Use the variable m to represent Mabel's sco
Jobisdone [24]

product is the answer to a multiplication problem mx6=90

3 0
4 years ago
5
Murljashka [212]

Answer:

Step-by-step explanation:

Reflect over the Y axis, then translate (x+[-2], y+[-3])

8 0
3 years ago
Simplify the ratio:<br> 2 days: 2 weeks<br> [Write the answer without any units of measurement.]
Marysya12 [62]

Answer:

1:7

Step-by-step explanation:

2 days = 2, 2 weeks = 14 days

2:14

u can divide it by 2

becomes 1:7

8 0
3 years ago
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