How to solve this math

10| x – 4| - 3 > 47

Andrew [12]

Answer:

x < -1 or x > 9

Step-by-step explanation:

$10|x-4|-3>47$

Add 3 to both sides.

$10|x-4|-3+3>47+3$

Simplify.

$10|x-4|>50$

Divide both sides by 10.

$\frac{10|x-4|}{10} >\frac{50}{10}$

Simplify.

$|x-4|>5$

Apply absolute value rule: If $|u|>a,a>0$ then $u < -a$ or $u>a$

$x-4$ or $x-4 >5$

$x-4$

Add 4 to both sides.

$x-4+4$

Simplify.

$x$

$x-4>5$

Add 4 to both sides.

$x-4+4>5+4$

Simplify.

$x>9$

Combine the intervals.

$x$ or $x>9$

8 0

3 years ago

Solve for x. 2(4x - 1) + 3(3 - 2x) = 0 x = -4 x = -7/2 x = -4/3 x = -7/6

lara [203]

The correct answer: x=-7/2
Hope this help!!!

7 0

3 years ago

Read 2 more answers

When making a fruit salad, a chef chooses 7 fruits from 10 that are in season. how many different fruit salads can the chef crea

Furkat [3]

For this example, we must combine not permutate; this because a salad in which you first use apple then tomato is the same as the one in which you use first tomato then apple, so order does not matter.

Me must do "10 combine 7" which is written by the binomial coefficient $(_{7} ^{10})$ ; in general a binomial coefficient is written by:
$(_{k} ^{n})= \frac{n!}{k!(n-k)!}$

In which $n$ and $k$ are positive integers, such that $n\ \textgreater \ k$ .

So, for this problem:
$(_{7} ^{10})= \frac{10!}{7!(10-7)!}=\frac{10!}{7!3!}= \frac{10*9*8}{3*2}=10*3*4=120$

Hence, there are 120 different ways to make the fruit salad.

5 0

3 years ago

to arrive at 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution. How many liters of eac

CaHeK987 [17]

Answer:

800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

Step-by-step explanation:

Given:

At 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution.

Now, to find the number of liters of saline solution each should be used.

Let the liters of 90% saline solution mix be $x.$