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Alborosie
3 years ago
13

Solve 3/4x = -6 showing each step explaining each property used.

Mathematics
2 answers:
polet [3.4K]3 years ago
4 0
Well, since it's already set up, all we do is divide -6 by 3/4 to get our x
So that means x=-8
zmey [24]3 years ago
3 0
Hi there,
We can start off by first rewriting the equation:
3/4x = -6
First, we use the multiplication property of equality to multiply the reciprocal of 3/4, which is 4/3 to -6. 
x = -6 × 4/3
Now, we just simplify,
x = -24/3 => x = -8
Therefore, the answer to your query is x = -8. Hope this helps!
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helen has 30 tickets.Gina has 20 more tickets thank helen.what percent of tickets must Gina give helen so that both of them can
iren [92.7K]
Helen = 30 T (T = tickets)
Gina = 30 + 20 = 50 T

20% of 50 = 10

30 + 10 = 404
50 - 10 = 40

Gina must give 20% of her tickets for them to have equal amount of tickets.

Hope this helps!!
4 0
3 years ago
Amran is helping her sixth grade classmates get ready for their math test by making them identical Packages of pencils and calcu
Sholpan [36]

Answer:

Step-by-step explanation:

72

3 0
3 years ago
What is the value 0.25 ? The 2 has a value of 2 _____________ or 0.2 The 5 has a value of 5 ______________ or 0.05
3241004551 [841]

Answer:

NUT?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The figure is made up of two shapes, a semicircle and a rectangle.What is the exact perimeter of the figure?
grandymaker [24]
Perimeter of circular area = πr = 3.14 * 10 = 31.4 mm

Perimeter of rectangular area = 30 + 20 + 30 = 80 mm

Total Perimeter = 80 + 31.4 = 111.4

In short, Your Answer would be 111.4 mm

Hope this helps!
7 0
2 years ago
Read 2 more answers
Find all solutions of each equation on the interval 0 ≤ x < 2π.
Korvikt [17]

Answer:

x = 0 or x = \pi.

Step-by-step explanation:

How are tangents and secants related to sines and cosines?

\displaystyle \tan{x} = \frac{\sin{x}}{\cos{x}}.

\displaystyle \sec{x} = \frac{1}{\cos{x}}.

Sticking to either cosine or sine might help simplify the calculation. By the Pythagorean Theorem, \sin^{2}{x} = 1 - \cos^{2}{x}. Therefore, for the square of tangents,

\displaystyle \tan^{2}{x} = \frac{\sin^{2}{x}}{\cos^{2}{x}} = \frac{1 - \cos^{2}{x}}{\cos^{2}{x}}.

This equation will thus become:

\displaystyle \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} \cdot \frac{1}{\cos^{2}{x}} + \frac{2}{\cos^{2}{x}} - \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} = 2.

To simplify the calculations, replace all \cos^{2}{x} with another variable. For example, let u = \cos^{2}{x}. Keep in mind that 0 \le \cos^{2}{x} \le 1 \implies 0 \le u \le 1.

\displaystyle \frac{1 - u}{u^{2}} + \frac{2}{u} - \frac{1 - u}{u} = 2.

\displaystyle \frac{(1 - u) + u - u \cdot (1- u)}{u^{2}} = 2.

Solve this equation for u:

\displaystyle \frac{u^{2} + 1}{u^{2}} = 2.

u^{2} + 1 = 2 u^{2}.

u^{2} = 1.

Given that 0 \le u \le 1, u = 1 is the only possible solution.

\cos^{2}{x} = 1,

x = k \pi, where k\in \mathbb{Z} (i.e., k is an integer.)

Given that 0 \le x < 2\pi,

0 \le k.

k = 0 or k = 1. Accordingly,

x = 0 or x = \pi.

8 0
2 years ago
Read 2 more answers
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