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igor_vitrenko [27]
4 years ago
9

What is the solution to the equation 6x+2=9x-1?

Mathematics
1 answer:
Ipatiy [6.2K]4 years ago
8 0

Answer:

x = 1

Step-by-step explanation:

6x + 2 = 9x - 1 \\  \therefore \: 2 + 1 = 9x - 6x \\  \therefore \:3 = 3x\\   \therefore \:x =  \frac{3}{3}  \\    \huge \purple{ \boxed{\therefore \:x = 1}}

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Why would |3-6| be 3 instead of -3?
Delicious77 [7]
Because you can have a negative inside the absolute value so even if it is inside the absolute value of -3 will come out as 3.
6 0
4 years ago
A sphere has a diameter of 14 ft. Which equation finds the volume of the sphere?
aev [14]

Answer:

The volume of the sphere is 1436 in³

The equation is    

V = ⁴⁄₃ * 3.14 * (7ft)³

Step-by-step explanation:

radius = half of diameter

d = 14ft

r = 14ft / 2 = 7ft

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius  = 7ft

π = 3.14

V = ⁴⁄₃πr³

we replace with the known values

V = ⁴⁄₃ * 3.14 * (7ft)³

V = 4.187 * 343 in³

V = 1436 in³

The volume of the sphere is 1436 in³

6 0
3 years ago
One page of a petition can hold p signatures. You were able to get 4p+5 people to sign the petition. Your friend was able to get
leva [86]

Answer:

6p - 2

Step-by-step explanation:

The expression that needs to be made in this question refers to the total number of people that signed the petition. To calculate this we need to add the total number of signatures that both you and your friend were able to acquire. Once we do this we simply combine like terms in order to simplify the expression as much as possible.

4p + 5 + 2p - 3

4p + 2p + 5 - 3

6p - 2

Therefore, the total and simplified expression for the total number of signatures would be 6p - 2

8 0
3 years ago
The population of a particular city is given by the function P(t) = 27,400(1.07)t, where t is the time in years and P(t) is the
otez555 [7]

Answer:

27,400 is the current population

7% is the rate of increase

The new size is:

  • 38,430 is the population if t is an exponent
  • 146,590 is t is NOT an exponent in the formula you typed

Step-by-step explanation:

To find the population in a future year, use the formula:

P(t) = 27,400(1.07)t

Substitute the value t=5 to find the population in 5 years.

P(t) = 27,400(1.07)t\\P(t) = 27,400(1.07)(5)\\P(t) = 146,590


Or if the equation is supposed to have t as an exponent then look below:

P(t) = 27,400(1.07)^t

Substitute the value t=5 to find the population in 5 years.

P(t) = 27,400(1.07)^t\\P(t) = 27,400(1.07)^(5)\\P(t) = 38,430

This formula is based off the standard formula A=A_0(1+r)^t so r, the rate is 1.07=1+0.07 so r is 7%.

A_0 is the starting population which is 27,400 here.

4 0
3 years ago
A square root is categorized as what kind of number?<br><br> Choices:<br> Irrational <br> Rational
anyanavicka [17]
<span>Rational i believe is the answer i ain't for sure though</span>
6 0
3 years ago
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