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ANTONII [103]
3 years ago
11

What is the solution for x in the equation 5/3 x +4=2/3 x

Mathematics
1 answer:
777dan777 [17]3 years ago
7 0

Answer:

x = - 4

Step-by-step explanation:

Given

\frac{5}{3} x + 4 = \frac{2}{3} x

Multiply through by 3 to clear the fractions

5x + 12 = 2x ( subtract 2x from both sides )

3x + 12 = 0 ( subtract 12 from both sides )

3x = - 12 ( divide both sides by 3 )

x = - 4

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PLEASE HELP ME: the ratio of cars to trucks on a highway at any given time is 12 to 8. If there are always more than 105 cars on
andre [41]

Answer:

70

Step-by-step explanation:

First, set up the ratio of c:t, which is 12:8. Then set up your new ratio of c:t, which is 105:?. The way I find the easiest is to divide 105 by 12, which is 8.75, then multiply that by 8, which is 70. To check if it's right, just divide 12 by 8, and 105 by 70, and if they're the same number, you've got it right.

Ps. I'm guessing you meant to ask the minimum number of trucks, not cars.

5 0
2 years ago
Calculate the standard score of the given X value, X=28.3, where μ=26.3 and σ=28.1 and indicate on the curve where z will be loc
zmey [24]

Answer:

Standard score z=0.07

Step-by-step explanation:

The z-score, or standard score, represents an equivalent value for X but in the standard normal distribution, where μ=0 and σ=1.

For X=28.3 in a normal distribution with μ=26.3 and σ=28.1, the standard score can be calculated as:

z=\dfrac{X-\mu}{\sigma}=\dfrac{28.3-26.3}{28.1}=\dfrac{2}{28.1}=0.07

This value is 0.07 standard deviations right to the mean.

In the picture attached, we have located the z-score.        

5 0
3 years ago
Solve for the roots in simplest form by completing the square <br><br> x^2-12x+20=0
Alex17521 [72]

Answer:

x = 10 or x = 2

Step-by-step explanation:

Solve for x:

x^2 - 12 x + 20 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 20 from both sides:

x^2 - 12 x = -20

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 36 to both sides:

x^2 - 12 x + 36 = 16

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x - 6)^2 = 16

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x - 6 = 4 or x - 6 = -4

Hint: | Look at the first equation: Solve for x.

Add 6 to both sides:

x = 10 or x - 6 = -4

Hint: | Look at the second equation: Solve for x.

Add 6 to both sides:

Answer: x = 10 or x = 2

5 0
3 years ago
What is the solution to the system of equations below? 3x+4y-2z=-1 -x+6y+2z=7 4x-2y+3z=27
matrenka [14]

Answer:

(3x+4y-2z=-1)= x=-1/3-4/3y+2/3z

(-x+6y=2z)= x=-7+6y=2z

(4x-2y+3z=27)= x=27/4+1/2-3/4z

Step-by-step explanation:

6 0
2 years ago
Which of the following statements are true? Select all that apply.
nlexa [21]
1. <span>true
example:
2+3=3+2
5=5

2. </span><span>true
</span>example:
3*4=4*3
12=12
<span>
3. false
</span>example:
6-3=3-6
3≠-3
<span>
4. </span><span>true
</span>example:
(4 + 3) + 2= 4 + (3 + 2)
7 + 2 = 4 + 5
9 = 9
<span>
5. false
</span>example:<span>
(9 - 6) - 3 = 9 - (6 - 3)
</span>3 - 3 = 9 - 3
0 ≠ 6

6. true
example:
<span>2(3+4)= 2*3+2*4
2 * 7 = 6 + 8
14 = 14</span>
6 0
3 years ago
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