All categories

3 years ago

What is x in 3x+3= -2x-12

Mathematics

2 answers:

3241004551 [841]3 years ago

7 0

$3x+3=-2x-12 \\ 3x+2x=-12-3 \\ 5x=-15 \\ x=-3 \\ \\ \text{The answer is x=-3 ;)}$

butalik [34]3 years ago

3 0

$3x+3=-2x-12$
Add 2x
$3x+3+2x=-12$
$5x+3=-12$
Subtract 3
$5x=-12-3$
$5x=-15$
Divide by 5
$x= \frac{-15}{5}$
$x=-3$
The answer is: -3

You might be interested in

8 people are boarding a plane 2 have tickets for first class and board before everyone. In how many ways can these people board

mixer [17]

$2!6!=2\times1\times6\times5\times4\times3\times2\times1=1440$

3 0

3 years ago

Mary has $65,000 to invest in two accounts. The first account is a private savings offering 6% annual interest and the second ac

const2013 [10]

Answer:

first account with 6% interest ( x ) = $46000

second account with 4% interest ( y ) = $19000

Step-by-step explanation:

Principal = $65000

first interest rate = 6%

second interest rate = 4%

assuming ; X = money invested in first account , Y = money invested in second account

hence :

( 65000 - y ) * 6% + ( 65000 - x ) * 4% = 3520

3900 - 0.06 y + 2600 - 0.04 x = 3520

0.04 x + 0.06 y = 3900 + 2600 - 3520

0.04 x + 0.06 y = 2980 ----- ( 1)

x + y = 65000 ------- ( 2 )

solve equation 1 and 2 simultaneously by elimination method

0.04 x + 0.06 y = 2980 ------ ( 3 )

0.06 x + 0.06 y = 3900 ------- ( 4 )

subtract equation 3 form equation 4

0.02 x = 920 , hence x = $46000

therefore y = $65000 - $46000 = $19000

6 0

3 years ago

Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is 13.4 years with a s

Aliun [14]

Answer : 0.0129

Step-by-step explanation:

Given : Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is $\mu=13.4$ years and standard deviation is $\sigma=1.7$ years.

Sample size : $n=40$

Let X be the random variable that represents the age of fleets.

We assume that the ages of the fleets of the 10 largest U.S. commercial passenger carriers are normally distributed.

For z-score,

$z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

For x=14

$z=\dfrac{14-13.4}{\dfrac{1.7}{\sqrt{40}}}\approx2.23$

By using the standard normal distribution table , the probability that the average age of these 40 airplanes is at least 14 years old will be :-

$P(x\geq 14)=P(z\geq2.23)\\\\=1-P(z$

Hence, the required probability = 0.0129

6 0

3 years ago

What is the area of the squares with sides (2x-3)feet?

LUCKY_DIMON [66]

Answer:

4x^2 -12x +9 ft^2

Step-by-step explanation:

The area of a square is

A = s^2 where s is the side length

A = (2x-3) ^2

A = (2x-3) (2x-3)

FOIL

first 2x*2x =4x^2

outer 2x (-3) = -6x

inner -3*2x = -6x

last -3*-3 = 9

Add them together

4x^2 -6x-6x +9

Combine like terms

4x^2 -12x +9

The area is 4x^2 -12x +9 ft^2

5 0

3 years ago

Read 2 more answers

Write an equation for a line perpendicular to y=3x−1 and passing through the point (-9,4)

Vedmedyk [2.9K]

Answer:

y=-1/3x+1

Step-by-step explanation:

(picture explains)

6 0

3 years ago