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Sauron [17]
3 years ago
13

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

8

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<span>

Distribute the parenthesis:
</span>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]

<u>Answer:</u>

$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 t<span>he ratio of the radii of two circles is 2:3, we have:
r1 : r2 = 2 : 3
which can also be expressed as:
</span>\frac{r1}{r2}= \frac{2}{3}
<span>
We know that r1 is 7.5, so let's implement it:
</span>\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
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