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3 years ago

Solve in one variable 2/3x + 5 = 3/2x

1 answer:

Montano1993 [528]3 years ago

5 0

First, we group together the terms with variables in one side by subtracting 3/2 x and 5 from both sides of the equation.
(2/3)x - (3/2)x + 5 - 5 = (3/2)x - (3/2)x - 5
(-5/6)x = -5
The value of x from the equation is 6.

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a small plane lands at a point 324 miles east and 92 miles north of the point at which it took off. Find the distance the plane

Setler79 [48]

Answer: 336.80 miles, $15.85^{\circ}$ North of east

Step-by-step explanation:

Given

Plane lands at a point 324 miles east and 92 miles north

Distance is given by using Pythagoras theorem

$\Rightarrow d=\sqrt{324^2+92^2}\\\\\Rightarrow d=\sqrt{113,440}\\\\\Rightarrow d=336.80\ \text{miles}$

Direction is given by using figure i.e.

$\Rightarrow \tan \theta=\dfrac{92}{324}\\\\\Rightarrow \tan \theta=0.2839\\\\\Rightarrow \theta=15.85^{\circ}$

Direction is $15.85^{\circ}$ North of east

7 0

3 years ago

Salem High School's winter sports teams WON 72% of their games last season. If the teams played 50 games, how many games did the

Dmitriy789 [7]

Answer

Find out the how many games did the teams lose .

To prove

Formula

$Percentage = \frac{Part\ value\times 100}{Total\ values}$

As given

Salem High School's winter sports teams WON 72% of their games last season.

If the teams played 50 games .

Percentage = 72%

Total value = 50

Put in the formula

$72 = \frac{Number\ of\ games\ win\times 100}{50}$

$Number\ of\ games\ win = \frac{72\times 50}{100}$

Number of games win = 36

Number of games teams loses = Total number of games - number of games win

= 50 - 36

= 14

Therefore the number of games team loses are 14 .

5 0

4 years ago

How do you solve a complex number problem

Rzqust [24]

Find real values of the number a for which a.i is a solution of the polynomial equation. ... u,v and w are the three roots of the equation z3 - 1 = 0 . ... Calculate all solutions of |z-1|.|z-1|=1. ... The equation z3 - (n + i) z + m + 2 i = 0. ... Let z' the conjugate complex number of z.

3 0

3 years ago

Which expression shows the result of applying the distributive property to -2(1/3x- 1/5)

puteri [66]

It is c hope this helps

8 0

4 years ago

10. Dan picks 18 baskets of apples

Paladinen [302]

Answer:

1 basket = 24 apples

24 × 18 = 432 apples