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4 years ago

If you add one third of a number to the number itself you get 16 what is the number

Mathematics

1 answer:

sineoko [7]4 years ago

6 0

The number is 12

12 + 4 = 16

4 is a third of 12 and 12 + 4 = 16.

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Expand the following. (3x + 2)2 A.9x2+6x+4 B.9x2+4 C.3x2+4 E.9x2+12x+4

PolarNik [594]

Step-by-step explanation:

working ;

(3x+2)^2

*Apply Perfect Square Formula : (a+b) =a^2+2ab+b^2

a = 3x,b = 2

(3x)^2 + 3x.2+2^2

finally Answer is:

= 9x^2 + 12x +4

5 0

3 years ago

What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 ti

Marat540 [252]

Answer:

$x = \frac{5 + \sqrt{53}}{2}$ or $x = \frac{5 - \sqrt{53}}{2}$

Step-by-step explanation:

Given

$x^2 - 5x - 7 = 0$

Required

Solve for x using:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

First, we need to identify a, b and c

The general form of a quadratic equation is:

$ax^2 + bx + c = 0$

So, by comparison with $x^2 - 5x - 7 = 0$

$a = 1$ $b = -5$ $c = -7$

Substitute these values of a, b and c in

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}$

$x = \frac{5 \± \sqrt{25 +28}}{2}$

$x = \frac{5 \± \sqrt{53}}{2}$

Split the expression to two

$x = \frac{5 + \sqrt{53}}{2}$ or $x = \frac{5 - \sqrt{53}}{2}$

To solve further in decimal form, we have

$x = \frac{5 + 7.28}{2}$ or $x = \frac{5 - 7.28}{2}$

$x = \frac{12.28}{2}$ or $x = \frac{-2.28}{2}$

$x = 6.14$ or $x = -1.14$

4 0

3 years ago

A cone has a height of 5 inches and a radius of 4 inches. What is its volume?

Yuki888 [10]

9514 1400 393

Answer:

83.73 in³

Step-by-step explanation:

It is appropriate to use the formula for the volume of a cone:

V = (1/3)πr²h

V = (1/3)(3.14)(4 in)²(5 in) ≈ 83.73 in³

The volume of the cone is about 83.73 in³.

5 0

3 years ago

Select the correct answer. Given: ∆ABC Prove: A midsegment of ∆ABC is parallel to a side of ∆ABC. Statement Reason 1. Define the

Bogdan [553]

Answer:

B) Statement: slope of df = slope of bc

Reason: Transitive Property of Equality

Step-by-step explanation: i just took the test.

4 0

3 years ago

Read 2 more answers

Consider the inequalities

Fantom [35]

Answer:

The line with be duchess with shading below.

None of the above

Step-by-step explanation:

The correct inequality expression is;

y < 2x+3

Note that the inequality sign between the expressions is the one that will determine the nature of the line.

Since the sign is not containing the "equal to" sign this means that the line will be broken(duchess).

Since it is "less than", the shading will be below the line.

Considering the given option, None of the option is correct

8 0

3 years ago