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3 years ago

What is A number that when you add 4 and then divide the sum by 2 will equal 6.

Mathematics

1 answer:

Vladimir79 [104]3 years ago

5 0

To solve, I multiplied 6 by 2 and then subtracted 4 to get 8. I worked backwards.

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Solve 5x(x-6)(4x+9)=0

xxTIMURxx [149]

Greetings and Happy Holidays!

Solve for x.
$5x(x-6)(4x+9)=0$ 

Distribute the parenthesis:
 $5x(x-6)(4x+9)=0$

$(5x^2-30x)(4x+9)=0$

$(20x^3-120x^2)+(45x^2-270x)=0$

Combine like terms:
$20x^3-75x^2-270x=0$

Factor out GCF (5x):
$5x(4x^2-15x-54)=0$

Factor the Complex Trinomial:
$5x(4x^2+9x-24x-54)=0$

$5x(x(4x+9)-6(4x-9))=0$

$5x((4x+9)(x-6))=0$

Set Factors to Equal 0:
$5x=0$

$x=0$

or

$4x+9=0$

$4x=-9$

$x=\frac{-9}{4}$

or

$x-6=0$

$x=6$

The Answers Are:
$\boxed{x=0} \\ \boxed{x= \frac{-9}{4}} \\ \boxed{x=6}$

I hope this helped!
-Benjamin

8 0

3 years ago

Steve gets paid $50 a week plus $5 for each item he sells. He wants to know how many items he

Charra [1.4K]

Answer:

$50 + 5x > $220

5x> $220 - $50

7 0

3 years ago

The ratio of the radii of two circles is 2:3. The diameter of the smaller circle is 15 mm. What is the length of the diameter of

mixer [17]

The answer is 11.25 mm.

A diameter of a circle is twice of its radius: d = 2r ⇒ r = d/2

small circle large circle
radius: r1 radius: r2 = ?
diameter: d1 = 15 mm
⇒ r1 = d1/2 = 15/2 mm

Since the ratio of the radii of two circles is 2:3, we have:
r1 : r2 = 2 : 3
which can also be expressed as:
 $\frac{r1}{r2}= \frac{2}{3}$

We know that r1 is 7.5, so let's implement it:
 $\frac{7.5}{r2} = \frac{2}{3}$

Let's multiply both sides of the by 3r2:
$3r2* \frac{7.5}{r2} =3r2* \frac{2}{3}$
⇒ $3 * 7.5 = 2*r2$
$22.5 = 2*r2$
⇒ $r2= \frac{22.5}{2} =11.25 mm$

5 0

3 years ago

Read 2 more answers

Discrete MathA coin is flipped four times. For each of the events described below, express the event as a set in roster notation

Vladimir79 [104]

Answer:

a) 25%

b) 50%

c) 87.5%

Step-by-step explanation:

There are $2^4 = 16$ number of outcome in total.

a)First and last flips come up heads. There are 4 outcomes here. Probability of the event is 4/16 = 1/4, or 25%.

- HHHH

- HHTH

- HTHH

- HTTH

b) at least 2 Consecutive flips that is heads. There are 8 outcomes. Probability of event is 8/16 = 1/2, or 50%

- HHHH

- HHHT

- HHTH

- HHTT

- THHH

- THHT

- HTHH

- TTHH

c) At least 2 consecutive flips that are the same. There are 14 outcomes. Probability of 14/16 = 7/8, or 87.5%

- HHHH

- HHHT

- HHTH

- HHTT

- THHH

- THHT

- HTHH

- TTHH

- TTTT

- TTTH

- TTHT

- HTTT

- HTTH

- THTT

6 0

3 years ago

Will mark brainlist and rate 5/5

erastova [34]

Sir you don’t even have a question

5 0

3 years ago