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aksik [14]
3 years ago
7

Solve the equation with a variable term on both sides: 5.1y+21.3=-0.3y-24.6.

Mathematics
2 answers:
zlopas [31]3 years ago
6 0

<u>Answer</u>

\boxed {y= -8.5}


<u>Solution & detailed explanation </u>

In this problem we are solving for y.


First, add 0.3 on both sides.

5.1 + 0.3= 5.4


Now you would need to subtract, 21.3 on both sides.

5.4y + 21.3= -24.6


-24.6 - 21.3= -45.9


Divide 5.4 on both sides.

5.4y = -45.9


Therefore, the answer would be \boxed {y= -8.5}







ivann1987 [24]3 years ago
3 0

To solve this equation, we will need to isolate y, the variable. These are the steps that follow:


1. Add 0.3y to each side.

2. Subtract 21.3 from each side.

3. Divide both sides by 5.4y.

Try and figure it out yourself! If you have trouble...


The answer is y = -8.5

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w = mg  

w/m = g  

69N / 12kg = 5.75 N/kg

<u>Answer: B) 5.75 m/s2</u>

8 0
3 years ago
Plz help, answer the question below
Afina-wow [57]

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3 years ago
The general form of a circle is given as x^2+y^2+4x - 12y + 4 = 0. A) What are the coordinates of the center of the circle? B) W
Alex_Xolod [135]

Answer:

center = (-2, 6)

radius = 6

Step-by-step explanation:

<u>Equation of a circle</u>

(x-a)^2+(y-b)^2=r^2

(where (a, b) is the center and r is the radius)

Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.

Given equation:

x^2+y^2+4x-12y+4=0

Collect like terms and subtract 4 from both sides:

\implies x^2+4x+y^2-12y=-4

Complete the square for both variables by adding the square of half of the coefficient of x and y to both sides:

\implies x^2+4x+\left(\dfrac{4}{2}\right)^2+y^2-12y+\left(\dfrac{-12}{2}\right)^2=-4+\left(\dfrac{4}{2}\right)^2+\left(\dfrac{-12}{2}\right)^2

\implies x^2+4x+4+y^2-12y+36=-4+4+36

Factor both variables:

\implies (x+2)^2+(y-6)^2=36

Therefore:

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7 0
1 year ago
Trucks in a delivery fleet travel a mean of 120 miles per day with a standard deviation of 18 miles per day. The mileage per day
kvv77 [185]

The probability that a truck drives between 150 and 156 miles in a day is 0.0247. Using the standard normal distribution table, the required probability is calculated.

<h3>How to calculate the probability distribution?</h3>

The formula for calculating the probability distribution for a random variable X, Z-score is calculated. I.e.,

Z = (X - μ)/σ

Where X - random variable; μ - mean; σ - standard deviation;

Then the probability is calculated by P(Z < x), using the values from the distribution table.

<h3>Calculation:</h3>

The given data has the mean μ = 120 and the standard deviation σ = 18

Z- score for X =150:

Z = (150 - 120)/18

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Z - score for X = 156:

Z = (156 - 120)/18

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So, the probability distribution over these scores is

P(150 < X < 156) = P(1.67 < Z < 2)

⇒ P(Z < 2) - P(Z < 1.67)

From the standard distribution table,

P(Z < 2) = 0.97725 and P(Z < 1.67) = 0.95254

On substituting,

P(150 < X < 156) = 0.97725 - 0.95254 = 0.02471

Rounding off to four decimal places,

P(150 < X < 156) = 0.0247

Thus, the required probability is 0.0247.

Learn more about standard normal distribution here:

brainly.com/question/26822684

#SPJ1

5 0
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yaroslaw [1]

Answer:

f(x)=9×2_x3=18 hope it help good luck

8 0
3 years ago
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