What is the solution to the inequality??: 1 2 x + 8 ≤ 3

Answers

Answer 1
Answer: 1/2x+8<3
isolate the x and divide so
subtract 8
1/2x<-5
multiply both sides by 2/1 to clear fraction
x<-10
Answer 2
Answer:

The solution to the given inequality is determined as x ≤ -5/12

What is the solution to the inequality?

The solution of the inequality is calculated as follows;

The given inequality equation:

12x + 8 ≤ 3

Start by subtracting 8 from both sides of the inequality:

12x + 8 - 8 ≤ 3 - 8

12x ≤ -5

Divide both sides of the inequality by 12:

(12x)/12 ≤ (-5)/12

x ≤ -5/12

Thus, the solution to the given inequality is x ≤ -5/12

Learn more about inequality here: brainly.com/question/24372553

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A husband and wife celebrate their birthdays on the same day of the month, but in different months. Every year, their birthdays fall on the same day of the week. If the husband's birthday is in March and the wife's birthday is later in the year, find the month of the wife's birthday.

Answers

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Factor the polynomial.
7x^2 + 68xy - 20y^2

Answers

we notice that it must be a product of 2 different thingummies
so we have
(  x+/-  y)(  x+-/  y)
we need to determine the spaces ad signs
we know that the signs are different since the end result is negative
so fidn the first one
7
factor
7=1 times 7
so we have
(1x+/-    y)(7x+/-    y)
factor end
-20=-1 and 20 or -2 and 10 or -4 and 5
we want the middle term to be positive so the bigger term must be positive

try the ones closest first
(x-4y)(7x+5y)
multiply out the middles and outers
5xy-28xy is not 68xy
try -2 and 10
(x+10y)(7x-2y)
multily middles and outers
-2xy and 70xy=68xy
correct

answer is (x+10y)(7x-2y)

It was 96 kilometers from perry to medford. David raced to medford and idled back. If the round trip took 8 hours, what was his average speed in kilometers per hours?

Answers

Average speed = (total distance) / (total time)

Average speed = (192 km) / (8 hours) = 24 km per hour .
Time for round trip = 8 hours

thus, time for trip = 8/2 = 4 hours.

Speed = distance / time

= 96/4 = 24 km/h

Thus, his average speed was 24 km/h

Please help solve x^2-2x-4=0

Answers

Simple....

you have x^(2) -2x-4=0

To solve...you must complete the square...

use ( (b)/(2) ) ^(2) to create a new term...

x=1(+/-)√(5)

Thus, your answer.

(Or, x≈3.23606797, -1.236067967)

Eight less than a number doubled is twenty more than the number. What is the number?

Answers

Let the number be a ....=>Number doubled : 2a ..=>Eight less than the no. Doubled : 2a - 8=>Eight less than the no. doubled is 20 more than the no. : 2a - 8 = 20 + a=>2a - 8 - 20 - a = 0=>2a -a - 20 -8 = 0=>a -28 = 0=>a = 28=>so the number is 28...Hope it helps!!!

the market price of an articles is rs 4000. if the price of the aricle including13 % vat is rs 3616 . find the dis.. percent given to it ​

Answers

Step-by-step explanation:

Answer:seeinthepicture.

Ihopeit helps...