| 10x | > -2 ? Solving absolute value equations and inequalities

Mathematics

1 answer:

Alex777 [14]3 years ago

3 0

The answer is x>−1/5 or x<1/5

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The softball team stopped for ice cream after a big game. five 2-scoop cones cost the same as three sundaes. If they bought nine

Savatey [412]

<span>Let the cost of 2-scoop cones be x, and the cost of sundaes be y.
The first statement tells us that 5x = 3y
The second statement tells us that 9x + 6y = 19.95
Then we need to calculate the value of y (the cost of a sundae).
From our first equation, y = 5x/3. Substituting this into the second equation:
9x + 6(5x/3) = 19.95
9x + 10x = 19.95
19x = 19.95
x = 1.05
Substituting back into the first equation: 5(1.05) = 3y
5.25 = 3y
y = 1.75
Therefore the cost of a sundae is $1.75.
</span>

3 0

3 years ago

WILLGIVEBRAINLIEST,THANKS,5STARS!<br> PLEASE HELP!<br> PLEASE EXPLAIN IN DEPTH!

bearhunter [10]

<h3>Answer:</h3>

x=2

<h3>Solution:</h3>

In order to isolate x, we should first of all take the square root of both sides.
If we take the square root of the left-hand side, we will get
$x-\displaystyle\frac{1}{2}$
How about the right-hand side? Well, we should take the square root of the numerator (9) and the denominator (4)
So we have
$x-\displaystyle\frac{1}{2} =\frac{3}{2}}$
Move -1/2 to the right:
$x=-\displaystyle\frac{3}{2} +\frac{1}{2}$
$x=\displaystyle\frac{4}{2}$
x=2