solve equation with variable on both sides
2(3r-4)=4r=3

Answer:

5/48

Step-by-step explanation:

Answer:

\(y=-4x+5\)

Step-by-step explanation:

The equation of a line with slope \(m\) and \(y\)-intercept \((0,b)\) is \(y=mx+b\).

Answer:

6

Step-by-step explanation:

3/4 ÷ 1/8

= 3/4 . 8

= 24/4

= 6

We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

The given system of equations are 2x-1/3y = -2...(1)

3x+y=1...(2)

We solve this system of equations by using substitution method.

Let us solve for x in equation to substitute it in equation (2).

2x=-2+1/3y

Divide both sides of equation by 2.

x=-1+1/6y

Now plug in the value of x in equation 2.

Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

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Answer: y-9x+3

Step-by-step explanation:

Answer:

£169

Step-by-step explanation:

because the number in the decimal immediately after 8 the integer 168, is up to or more than 5.

The required round of  £168.51 to the nearest pound is £169.

Given that,
To round £168.51 to the nearest pound.

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,
£168.51 is given in the question and asked to round is to the nearest pound, since after the decimal the number 51 is closer to the nearest zero i.e. 100,
Implies,
The nearest pound to the  £168.51 is  £169

Thus, the required round of  £168.51 to the nearest pound is £169.

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Answer:

\(\frac{1}{32} yards^{3}\)

Step-by-step explanation:

\(V=w*h*l\)

↓

\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)

=

\(\frac{1}{32} yards^{3}\\\)

Hope this helps!

Answer:

2/9 or 22.22% and 4/9 or 44.44%

Step-by-step explanation:

6+4+8=18   4/18=2/9   8/18=4/9

a.) The independent variable is the different types of music

b.) The dependent variable is the impact of listening felt by the rats

c.)An extraneous variable is the length of the maze.

d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.

A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.

For question a.)

The independent variable is the different types of music

For question b.)

The dependent variable is the impact of listening felt by the rats

For question c.)

An extraneous variable is the length of the maze.

For question d.)

The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

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Answer:

Perimeter = 10x + 30

(Anyone can correct me if I'm wrong)

Step-by-step explanation:

Before solving the problem, we can make the following statements:

Perimeter = 2l + 2w

l = 2x + 7

w = 3x + 8

Using all of that, we can substitute for perimeter,

Perimeter = 2(2x + 7) + 2(3x + 8)

Perimeter = 4x + 14 + 6x + 16

Perimeter = 10x + 30

It would take 21 weeks for the population to surpass 16,000.

The insect population P in a certain area fluctuates with the seasons and is estimated by the function P = 15,000 + 2500 sin(πt/52), where t is given in weeks.

For the population to surpass 16,000, we can set up the following equation:

15,000 + 2500 sin(πt/52) = 16,000

Subtracting 15,000 from both sides, we get:

2500 sin(πt/52) = 1000

Dividing both sides by 2500, we get:

sin(πt/52) = 0.4

We know that sin(πt/52) is positive when t is between 0 and 52 and between 104 and 156 since sine is positive in the first and second quadrants. Therefore, we can write:

πt/52 = sin⁻¹(0.4)

Multiplying both sides by 52/π, we get:

t = (52/π) sin⁻¹(0.4)

Using a calculator, we can evaluate sin⁻¹(0.4) to be approximately 0.4115 radians.

t = (52/π) (0.4115)

t = 21.02

Therefore, it would take 21 weeks for the population to surpass 16,000.

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Teenagers consume 10 pieces of pizza on average per week, with a 95% confidence interval (8-12).

Additionally, we examine a sample of youngsters and discover that on average, they consume 9 slices per week.. I.e. sample mean value lies within the 95% confidence interval (8, 12) it means that we can use this to estimate  population  mean which can lie in given 95% of interval and it can said to best estimate for population mean.

In order to determine the average number of slices consumed each week by teenagers, a sample of 9 teenagers is provided.

Hence, the stated value—that they consume nine slices—lies within the given range. So our claim is correct with probability of 95%.

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Answer:

area of circle - area of hexagon

Step-by-step explanation:

Answer:

$280

Step-by-step explanation:

7•40=$280

Answer: +5

Step-by-step explanation:

-6 + 5 = -1

-1 + 5 = 4

4 + 5 = 9

9 + 5 = 14

Answer:

8x - 2

Step-by-step explanation:

2x + 3 - (5 - 6x) ← distribute parenthesis by - 1

= 2x + 3 - 5 + 6x ← collect like terms

= (2x + 6x) + (3 - 5)

= 8x + (- 2)

= 8x - 2

Answer:

17.65%

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/financial/markup-calculator.php?cost=49.50&margin=15&action=solve

50

Step-by-step explanation:

You set this up with a ratio,  1:20 or 1 equals 20 miles.   So i'm multiplying by 20 regardless.   Now I have 2 and a half inches or you can say 2.5.  Multiply 2.5 (on paper..) and 20 and there you go.    20 times 2 equals 40 and 20 times a half is 10, 40 + 10= 50.  

Answer:

5 5/6

Step-by-step explanation:

Multiply 2 1/3 by 2 1/2.  The easiest way (?!) is to change both mixed numbers to improper fractions (I dislike that name! It just means a numerator bigger than the denominator).

2 1/3 Multiply the denominator 3 by the whole number 2, add the numerator 1 to get 6+1 = 7.  Place that over the denominator, 3.  So 2 1/3 = 7/3.

2 1/2 Multiply the denominator 2 by the whole number 2, add the numerator 1 to get 4+1=5.  Place that over the denominator, 2.  So 2 1/2 = 5/2.

Multiply 7/3 by 5/2.

\(\frac{5}{2} \cdot \frac{7}{3}=\frac{35}{6}\)

Finally, convert the improper fractioin 35/6 to a mixed number by dividing 35 by 6 (6 goes into 35 5 whole times with 5 "left over").  The whole number part is 5 and the left over fraction part is 5/6.

5 5/6

Answer:

no

Step-by-step explanation:

most people go through mid school cheating

Answer:

probably not cause same lol

Step-by-step explanation:

Answer: The line connecting the point and the line is perpendicular to the original line.

Step-by-step explanation:

(Forgot the name but there is also a theorem stating that the shortest distance between a point and a line is the one that is perpendicular)

Complete Question

Find the​ mean, variance, and standard deviation of the binomial distribution with the given values of n and p. ​, The​ mean, ​, is nothing. ​(Round to the nearest tenth as​ needed.)

    p =  0.6   n =  18

Answer:

The mean   \(\mu = 10.5\)

The standard deviation \(\sigma = 2.08\)

The  variance   \(var = 4.32\)

Step-by-step explanation:

From the question we are told that

      The probability of success   is  \(p = 0.6\)

      The  sample size is \(n = 18\)

  Generally given that the distribution is binomial, then the probability of failure is mathematically represented as

              \(q = 1- p\)

substituting values

              \(q = 1- 0.6\)

              \(q =0.4\)

Generally the mean is mathematically evaluated as

             \(\mu = np\)

substituting values

             \(\mu = 18 * 0.6\)    

             \(\mu = 10.5\)

The  standard deviation is evaluated as

              \(\sigma = \sqrt{npq}\)

substituting values

               \(\sigma = \sqrt{18 * 0.6 * 0.4}\)

              \(\sigma = 2.08\)

The variance is evaluated as

               \(var = \sigma^2\)

substituting value

              \(var = 2.08^2\)

              \(var = 4.32\)

Answer:

<STR = 38degrees

Step-by-step explanation:

Find the diagram attached

Complete Question:

In Rhombus QRST, diagonals RT and QS are drawn. If m<TSR = 104°, then which of the following is the measure of <SRT?

Sicne triangle STR is isosceles, hence the base angles are equal. Let the base angles be y

y+y+104 = 180

2y = 180-104

2y = 76

y = 38degrees

Since <STR = y, hence the measure of <STR = 38degrees

Answer:-9.3

Step-by-step explanation:

30-34.3=-4.3

-4.3-5=-9.3

The perimeter of the triangle OQR is 68 cm

From the question, we have the following parameters that can be used in our computation:

Circles with the centers O, Q and R

When these centers are connected, the connection forms a triangle

The triangle OQR

Also from the question, we have the following values of radii

Radii = 8 cm, 11 cm and 15 cm

The perimeter of the triangle OQR is calculated as

Perimeter = Twice the sum of the radii

Substitute the known values in the above equation, so, we have the following representation

Perimeter = 2 *(8 + 11 + 15)

Evaluate the sum

Perimeter = 2 * 34

Evaluate the products

Perimeter = 68

Hence, the perimeter is 68 cm

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Answer: 118

Step-by-step explanation:

Angle ABC and Angle BCD add up to 180 degrees, because Line AB and line CD are parallel. Because of this, Angle BCD can be moved up the the angle above 3n-47. Because the two angles fall on to a straight line, we can say that (3n-47)+(n+7)=180. Solving, n=55, so angle ABC equals 118 degrees.

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Answer:

3

Step-by-step explanation:

Answer:

1+ 2 = 3

Step-by-step explanation: