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rewona [7]
3 years ago
8

darnel’s retirement party cost $33, plus an additional $1 for each guest he invites. what is the maximum number of guests there

can be if darnel can afford to spend a total of $42 on his retirement party?
Mathematics
1 answer:
creativ13 [48]3 years ago
5 0

Answer:

20

Step-by-step explanation:

He's going to need a very sharp pencil to cross out the people he cannot afford to invite but would like to.

Equation

y = 33 + 1x

y = 42

42 = 33  + x

Solution

42 = 22 + x               Subtract 22 from both sides.

42 - 22 = 22 -22 + x    

20 = x

This means that if each extra person costs $1.00 then he can invite 20 more people (20 * 1 = 20)

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I need to find the answer for "x" 2x + 3(5x - 7) =47
nordsb [41]

Answer:

The answer would be x=4.  

Step-by-step explanation: Step 1: Simplify both sides of the equation.

2x+3(5x−7)=47

2x+(3)(5x)+(3)(−7)=47(Distribute)

2x+15x+−21=47

(2x+15x)+(−21)=47(Combine Like Terms)

17x+−21=47

17x−21=47

Step 2: Add 21 to both sides.

17x−21+21=47+21

17x=68

Step 3: Divide both sides by 17.

17x/17=68

17x=68

x=4

4 0
3 years ago
Rewrite the expressions below by completing the square.
Mrrafil [7]

Answer:

(x + 2)^2 - 1

Step-by-step explanation:

x^2 + 4x + 1

= (x^2 + 4x + 2 - 2 + 1)

= (x + 2)^2 - 1

3 0
3 years ago
Peter takes an 8-inch by 3-inch sheet of paper and cuts from one corner of the paper to the diagonally opposite corner. now pete
tekilochka [14]
First get the length of the side the was cut (Hypotenuse).

We can use Pythagorean theorem: a^2+b^2 = c^2
a = 8, b = 3 = 1.5, c = ?

plug into forumla

8^2 + 3^2 = 73

a=8,
b=1.5,
c = sqrt( 73) or 8.5

Now add all sides together to get perimeter...
8+3+8.5 = 19.5

The perimeter of each sheet is 19.5in.
3 0
3 years ago
Find the greatest common factor of these three expressions.
leva [86]
6x

42/6 = 7 (valid), 18/6 = 3 (valid), 12/6 = 2 (valid)

7, 8, 9, 10, and 11 are all not divisible by 12, and 12 is not divisible by 18, so 6 is the highest number.

Also, each number has at least one x, so you can take one out.

Remaining=
6x (7 + 3x^2 + 2x^3)

3 0
3 years ago
Josh is going to choose a two digit number. What is the probability that the sum of the digits will be nine?
stiv31 [10]

Answer:

4/45

Step-by-step explanation:

First find all the pairs that make 9 that are two digit:

1+8

2+7

3+6

4+5

5+4

3+6

2+7

1+8

That's 8 pairs, and as there are 90 two digit numbers, 8/90 is the answer. but if you want to simplify, the answer is 4/45

6 0
3 years ago
Read 2 more answers
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