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QveST [7]
3 years ago
14

Find three consecutive odd integers such that the sum of the smallest number and middle number is 27 less than 3 times the large

st number.
Mathematics
1 answer:
serious [3.7K]3 years ago
6 0

Answer:

17, 19, 21

Step-by-step explanation:

If we denote the smallest number as x, then the middle number will be x + 2 and the largest number will be x + 2 + 2.

The equation is:

x + (x + 2) = 3 * (x + 2 + 2) - 27

2x + 2 = 3x + 12 - 27

2x - 3x = 12 - 27 - 2

-x = -17

x = 17

The numbers are: 17, 19, 21

Let's check to be sure:

17 + 19 = 36

3 * 21 - 27 = 63 - 27 = 36

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Agata [3.3K]

How to solve your problem

Topics: Algebra, Quadratic Equation

2

+

1

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−

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2x+1=x-3

2x+1=x−3

Solve

1

Subtract

1

1

1

from both sides of the equation

2

+

1

=

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2x+1=x-3

2x+1=x−3

2

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−

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2x+1{\color{#c92786}{-1}}=x-3{\color{#c92786}{-1}}

2x+1−1=x−3−1

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Subtract the numbers

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4

2x=x-4

2x=x−4

3

Subtract

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4

−

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2x−x=x−4−x

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Combine like terms

Multiply by 1

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x=-4

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5 0
3 years ago
At Polynomials Pizza, a large cheese pizza costs $6.50. Each additional topping for the pizza costs $1.45. The total for a large
dangina [55]

Answer:x

=

5

toppings

Step-by-step explanation:Total cost of cheese pizza:  

$

10.75

Any additional topping adds:  

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additional topping is:

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+

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A cheese pizza with  

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additional toppings is:

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10.75

+

$

1.25

+

$

1.25

=

$

10.75

+

2

×

$

1.25

=

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A cheese pizza with  

3

additional toppings is:

$

10.75

+

$

1.25

+

$

1.25

+

$

1.25

$

10.75

+

3

×

$

1.25

=

$

14.50

If you pay attention to the pattern you can see that, for any number of toppings, say  

x

toppings, the price is going to be:

$

10.25

+

x

×

$

1.25

We are told the final cost is  

$

17.00

. That is

$

10.25

+

x

×

$

1.25

=

$

17.00

Subtract  

$

10.25

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$

10.25

−

$

10.25

+

x

×

$

1.25

=

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−

$

10.25

x

×

$

1.25

=

$

6.25

Divide both sides by  

$

1.25

x

×

$

1.25

$

1.25

=

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6.25

$

1.25

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5

4 0
3 years ago
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GalinKa [24]
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3 years ago
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Y = -8x2 + 665x – 5754
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