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2 years ago

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

1 answer:

Montano1993 [528]2 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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The Rangers played 40 games. They won 18 more games then they lost. How many games did they win?

maxonik [38]

9514 1404 393

Answer:

Step-by-step explanation:

Let w represent the number of wins. Then the number of losses is w-18. The total number of games played is ...

wins + losses = 40

w + (w-18) = 40

2w = 58

w = 29

The Rangers won 29 games.

4 0

2 years ago

What is x2 + 2x + 9 = 0

vova2212 [387]

Answer:

x has no real solution

Step-by-step explanation:

Our equation is qudratic equation so the method we will follow to solve it is using the dicriminant :

Let Δ be the dicriminant
a=1
b=2
c=9
Δ= 2²-4*1*9 =4-36=-32
we notice that Δ≤0⇒x has no real solution

4 0

3 years ago

What is the mean of 4,4,2,1,4

bearhunter [10]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A bicycle training wheel has a radius of 3 inches. The bicycle wheel has a radius of 10 inches. Approximately how much smaller,

zhuklara [117]

Answer:

$285.74\text{ inch}^2$

Step-by-step explanation:

GIVEN: A bicycle training wheel has a radius of $3\text{ inch}$ . The bicycle wheel has a radius of $10\text{ inch}$ .

TO FIND: Approximately how much smaller, in square inches, is the area of the training wheel than the area of the regular wheel.

SOLUTION:

radius of bicycle wheel $=10\text{ inch}$

area of bicycle wheel $=\pi r^2$

putting value,

area of bicycle wheel $=3.14\times10^2$

$=314\text{ inch}^2$

radius of bicycle training wheel $=3\text{ inch}$

area of bicycle training wheel $=\pi r^2$

putting value,

area of bicycle wheel $=3.14\times3^2$

$=28.26\text{ inch}^2$

difference in area of bicycle wheel and bicycle training wheel

$=\text{area of bicycle wheel}-\text{area of bicycle training wheel}$

$=314-28.26$

$=285.74\text{ inch}^2$

hence the training wheel is $285.74\text{ inch}^2$ smaller than regular wheel

4 0

2 years ago

What is the solution to this equation?<br> 7x + 3 = 10x - 5.4

stich3 [128]

Answer:

$x=2.8$

Step-by-step explanation:

$7x+3=10x-5.4$

Subtract 3 from both sides:

$7x+3-3=10x-5.4-3$

$7x=10x-8.4$

Subtract 10x from both sides:

$7x-10x=10x-8.4-10x$

$-3x=-8.4$

Divide both sides by -3:

$\frac{-3x}{-3}=\frac{-8.4}{-3}$

$x=2.8$

7 0

3 years ago