Does -|-4|=|-(4)| justify your answer

Mathematics

1 answer:

Gwar [14]3 years ago

3 0

- |-4| = |-(4)|

- 4 = |-4|

-4 = 4 Not true

You might be interested in

Two solutions of salt water contain 0.07% and 0.23% salt respectively. A lab technician wants to make 1 liter of solution which

DerKrebs [107]

0.75 liter of 0.07 % is used and 0.25 liter of 0.23 % salt is used

Solution:

We have to 1 liter of final solution

Let "x" be the salt solution of 0.07 %

Then, (1 - x) is the salt solution of 0.23 %

Then final solution should be 1 liter of solution which contains 0.11 % salt

Thus, 0.07 % of "x" is mixed with 0.23 % of (1 - x) to make a solution 0.11 % of 1 liter

Thus a equation is framed as:

0.07 % of x + 0.23 % of (1 - x) = 0.11 % of 1

$0.07 \% \times x + 0.23 \% \times (1-x) = 0.11 \% \times 1\\\\\frac{0.07}{100} \times x + \frac{0.23}{100} \times (1-x) = \frac{0.11}{100} \times 1\\\\0.0007x + 0.0023(1-x) = 0.0011\\\\0.0007x + 0.0023 - 0.0023x = 0.0011\\\\-0.0016x = -0.0012\\\\x = 0.75$

Thus 0.75 liter of 0.07 % is used

And,

1 - x = 1 - 0.75 = 0.25

Thus 0.25 liter of 0.23 % salt is used

6 0

4 years ago

Two men, 400 feet apart, observe a balloon between them; it is in the same vertical plane as they are. The respective angles of

Stels [109]

Because x is not defined, it is assumed to be the height of the balloon.

Note that
75° 20' = 75.333°
49° 30' = 49.5°

From the figure shown below, obtain by definition,
a = x cot 49.5° = 0.8541x
b = x cot 75.333° = 0.2617x

Because a + b = 400 ft, therefore
0.8541x + 0.2617x = 400
1.1158x = 400
x = 358.49 ft

Answer: 358 ft (nearest whole number)