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bearhunter [10]
2 years ago
8

Which of the following describes the correct process for solving the equation 2x + 6 = 22 and arrives at the correct solution? (

1 point)
Select one:
a. Divide both sides by 6 and then add 2. The solution is x = 8.
b. Subtract 6 from both sides and then divide by 2. The solution is x = 8.
c. Add 6 to both sides of the equation and then divide by 2. The solution is x = 6.
d. Subtract 6 from both sides of the equation and then divide by 22. The solution is x = 16.
Mathematics
2 answers:
serg [7]2 years ago
8 0
You would subtract 6 from both sides and then divide by 2. So the solution would be x=8. So 'B'
aalyn [17]2 years ago
7 0
The correct answer is
A. Divide both sides by 6 and then add 2. The solution is x=8
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Twenty-five more than 3 times the quantity of a number decreased by 9 is 43 find the number
VashaNatasha [74]


9

equation- 25+ 3x - 9= 43


3 0
2 years ago
Suppose the time a child spends waiting at for the bus as a school bus stop is exponentially distributed with mean 7 minutes. De
Gala2k [10]

Answer:

The probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

Step-by-step explanation:

Let the random variable <em>X</em> represent the time a child spends waiting at for the bus as a school bus stop.

The random variable <em>X</em> is exponentially distributed with mean 7 minutes.

Then the parameter of the distribution is,\lambda=\frac{1}{\mu}=\frac{1}{7}.

The probability density function of <em>X</em> is:

f_{X}(x)=\lambda\cdot e^{-\lambda x};\ x>0,\ \lambda>0

Compute the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning as follows:

P(6\leq X\leq 9)=\int\limits^{9}_{6} {\lambda\cdot e^{-\lambda x}} \, dx

                      =\int\limits^{9}_{6} {\frac{1}{7}\cdot e^{-\frac{1}{7} \cdot x}} \, dx \\\\=\frac{1}{7}\cdot \int\limits^{9}_{6} {e^{-\frac{1}{7} \cdot x}} \, dx \\\\=[-e^{-\frac{1}{7} \cdot x}]^{9}_{6}\\\\=e^{-\frac{1}{7} \cdot 6}-e^{-\frac{1}{7} \cdot 9}\\\\=0.424373-0.276453\\\\=0.14792\\\\\approx 0.148

Thus, the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

6 0
2 years ago
2.8 meters linen divided into 45 cm pieces = # of pieces and waste
pogonyaev
2.8 meter= 2800cms

To solve this, we can create a simple algebraic equation:
45x=2800
Divide both sides by 45.
(45x)/45=(2800)/45
x=62.222

You can make 62 full pieces.

To find the waste, multiply the numbers of pieces by the length of each.
62*45
=2790
2800-<span>2790
=10 centimeters

There would be 10 centimeters of wasted linen.

Hope this helps!
-Benjamin</span>
6 0
2 years ago
The width of a rectangle is the length minus 2 units. The area of the rectangle is 35 units. What is the width, in units, of the
Andrews [41]

Answer: width = 5 units

Step-by-step explanation:

Let L represent the length of the rectangle.

The width of a rectangle is the length minus 2 units. It means that the width of the rectangle is (L - 2) units.

The formula for determining the area of a rectangle is expressed as

Area = length × width

The area of the rectangle is 35 units. It means that

L(L - 2) = 35

L² - 2L = 35

L² - 2L - 35 = 0

L² + 5L - 7L - 35 = 0

L(L + 5) - 7(L + 5) = 0

L - 7 = 0 or L + 5 = 0

L = 7 or L = - 5

Since the length cannot be negative, then

L = 7 units

Width = 7 - 2 = 5 units

6 0
2 years ago
If Pam can install 12 insulators in 15 hours, how long does it take to install one insulator
Xelga [282]
The time it takes to install 1 insulator would be 1.25 hours
7 0
2 years ago
Read 2 more answers
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