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ipn [44]
4 years ago
15

What are the solutions to the equation? 3x^2+6x=45 Enter your answers in the boxes.

Mathematics
2 answers:
maksim [4K]4 years ago
8 0

Answer:

Step-by-step explanation:

3x² +6x = 45

divid by : 3 :

x² +2x = 15

(x² +2x +1 )-16 = 0

( x + 1 )² - 4² = 0

note : a² - b² = (a - b ) ( a + b)  ...idetity

( x +1 -4)( x + 1 +4) = 0

(x -3 ) ( x+5) =0

x-3 = 0 or x +5 = 0

x = 3  or x = - 5

my answer in the boxes :   x = 3 and x = -5

Gnoma [55]4 years ago
5 0

x= 3,-5

hope this helps

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Each guest at casandras party had 3 turns to act out worlds during a game. They began with a list of 50 words. When they finishe
Veronika [31]

Answer:

16 fits but not evenly

Step-by-step explanation:

16 times 3 equals 48 and 17 times 3 equal is 51 so someone didnt go 3 times.

7 0
3 years ago
18. The desired density of the shaved ice is 0.697 g/cm3, and the cost, per kilogram, of ice is $3,83. Determine
Ostrovityanka [42]

The cost of the ice needed to make 50 snow cones is $54.50.

<h3>What is cost of the ice?</h3>

The first step is to determine the volume of the snow cone.

Volume of the snow cone =volume of a cone + volume of the hemisphere

Volume of the cone = 1/3πr²h

1/3 x 3.14 x 10.2 x (8.3/2)² = 183.87 cm³

Volume of the hemisphere = 2/3πr³

2/3 x 3.14 x (8.3 / 2)³ = 224.43 cm³

Total volume = 224.43 cm³ + 183.87 cm³ = 408.30 cm³

Volume of 50 snow cones =  408.30 cm³ x 50 = 20,414.82

Total grams of ice needed = density x volume

0.697 x 20,414.82 = 14,229.13 grams

Convert gram to 1kg

1kg = 1000g

= 14,229.13 grams  / 1000 = 14.23kg

Cost of the ice = 14.13 x 3.83 = $54.50

Please find attached the image of the snow cone. To learn more about the volume of a cone, please check: brainly.com/question/13705125

#SPJ1

8 0
2 years ago
I really need the answers I will give brainliest
ivanzaharov [21]
What in the world is that?
4 0
3 years ago
Jessica's monthly gross pay is $5,660. Each month she has $355 in deductions,
Shtirlitz [24]

Answer:

The net pay of her will be $4702.21

Step-by-step explanation:

The State Tax plus Social Security Taxes plus Medicare takes (3 + 6.2 + 1.45) = 10.65% from Jessica's monthly gross pay.

If the gross pay is $5660 then the after the above deduction the remaining pay will be 5660(1 - \frac{10.65}{100}) = 5057.21 dollars.

Now, again there is a deduction of $355 from her payment each month.

Therefore, the net pay of her will be = $(5057.21 - 355) = $4702.21 (Answer)

5 0
3 years ago
How far is the nearest hundredth of an inch does each corner of the burger stick out from a bun
nadya68 [22]

Bread:
                 Area = π R²
  
                16 in² = π R²

                R² = 16 in² / π

             The radius of the bun = √(16 in² / π)  =  2.257 inches

-- The meat :
               Area = side²

               16 in² = side²

               Side =  √16 in²  =  4 inches

               Diagonal of the square = 4 √2  =  5.657 inches

               1/2 of the burgerdiagonal = 2.828 inches .

If the meat is centered on the bun, then the corner of the burger
extends

           (2.828 - 2.257)  =  0.57 inch

rounded to the nearest hundredth inch.
4 0
4 years ago
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