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3 years ago

The sum of three consecutive odd numbers is 51 what are the three numbers

Mathematics

2 answers:

Mama L [17]3 years ago

6 0

15, 17, 19 son tres numero impares súmalos y comprueba dan 51

Andrew [12]3 years ago

5 0

Consecutive odd integers are separated by 2. The 3 consecutive odd integers are

n + 2

(n + 2) + 2 = n + 4

Given:

n + (n + 2) + (n + 4) = 51

3n + 6 = 51

n = (51 - 6)/3 = 15

n + 2 = 15 + 2 = 17

n + 4 = 15 + 4 = 19

so your final numbers are 15, 17, and 19

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The area of the rectangle as a single expression

Ne4ueva [31]

Answer: $A=15x^2+6x-48$

Step-by-step explanation:

The area of a rectangle can be calculated with this formula:

$A=l*w$

Where "l" is the length and "w" is the width.

You can identify from the figure that the length and the width of this rectangle are:

$length=3(x+2)\\width=5x-8$

Then, you need to substitute this lenght and this width into $A=l*w$ :

$A=3(x+2)(5x-8)$

Now, apply Distributive property:

$A=(3x+6)(5x-8)\\\\A=15x^2-24x+30x-48$

Finally, you need to add the like terms. Then, you get:

$A=15x^2+6x-48$

5 0

3 years ago

Evaluate the square root of x^2 - 5x when x = 7. Round your answer to the nearest hundredth

Troyanec [42]

X^2-5x, given x=7,

(7)^2-5(7)=14

sqrt(14)=3.74

5 0

2 years ago

Read 2 more answers

I struggle in math, and occasionally I'll confuse the questions I try to answer

Alex17521 [72]

15X=12X+12
Subtract 12X
3X=12
X=4

3 0

3 years ago

Two shapes are shown below, one isosceles triangle and one rectangle. The dimensions can be represented by algebraic expressions

liberstina [14]

Answer:

Perimeter of Isosceles Triangle = 16 units

Step-by-step explanation:

Area of rectangle is given by the formula;

Area = 1/2 × base × height

From the diagram, base = 6x - 6 and height = 6x - 8

Thus,Area = 1/2 × (6x - 6) × (6x - 8)

Area = (3x - 3)(6x - 8) = 18x² - 42x + 24

Secondly, area of rectangle is given by;

Area = length x breadth

So, area of rectangle in question = (6x - 9)(3x - 2) = 18x² - 39x + 18

We are told both the area of the triangle and the rectangle are the same, so let's equate both areas;

18x² - 42x + 24 = 18x² - 39x + 18

18x² will cancel out and rearranging, we have;

24 - 18 = 42x - 39x

6 = 3x

x = 6/3

x = 2

Plugging 2 for x for the height and base of the triangle, we have;

base = 6(2) - 6 and height = 6(2) - 8

Base = 6 and height = 4

So,let's find the slant height of the isosceles triangle.

Dividing the base by 2,we have; 6/2 = 3

So,using Pythagoras theorem, let the slant height be h, so we have;

h² = 3² + 4²

h² = 9 + 16

h² = 25

h = √25

h = 5

2 slant sides of isosceles triangle are the same. So perimeter = 5 + 5 + 6 = 16 units

8 0

3 years ago

Ayuda:C

nekit [7.7K]

Answer:

Step-by-step explanation:

6 0

3 years ago