what is a = 1/2 (b-c) if b is the subject

Answer:

3x + 2

Step-by-step explanation:

x = 1x but leaving the x alone equals the exact thing.

If there are x + x + x, this means 3x since it is also

1x + 1x + 1x.

This is another expression for 3x + 2.

Answer:

Circumference = 2 x 3.14 x radius = 27 (in)

=> radius = 27/(2 x 3.14) = 4.3 (in)

=> Area = 3.14 x radius^2 = 3.14 x 4.3^2 = 58.1 (in2)

Answer:

58 inches^2

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi *radius^{2}[/tex]

To work out the area of this circle you would first need to divide the circumference of 27 by pi, this gives you 8.594. This is because the formula for the circumference is: [tex]\pi *diameter\\[/tex] and so by dividing the circumference by pi we are isolating the value of the diameter.

Then now that we have worked out the diameter we can now begin to work out the area, however in order to work out the area we must work out the radius. You can do this by dividing the diameter by 2, which gives you 4.297.

Then to work out the area you would multiply pi by the radius of 4.297 squared, this gives you 58.01 [tex]inches^{2}[/tex].

The next step is to round it to the nearest whole number, this gives you 58.

1) Divide 27 by pi.

[tex]27/\pi =8.594[/tex]

2) Divide 8.594 by 2.

[tex]8.594/2=4.297[/tex]

3) Multiply pi by 4.297 squared.

[tex]\pi *4.297^{2} =58.01[/tex]

4) Round to the nearest whole number.

58 square inches

30x and 12 have a common factor of 6.   So yes, this might have been the result of distributing the 6 in

6(5x - 2)

Answer:

30x - 12 = 2(15x - 6)

30x - 12 = 3(10x - 4)

30x - 12 = 6(5x - 2)

Step-by-step explanation:

30 and 12 have these factors in common: 2, 3, 6

There are three possible answers.

30x - 12 = 2(15x - 6)

30x - 12 = 3(10x - 4)

30x - 12 = 6(5x - 2)

Answer:

D

Step-by-step explanation:

The name for the angle shown is  ∠D and ∠CDE.

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

An angle is formed when two straight lines or rays meet at a common endpoint.

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Angles formed by two rays lie in the plane that contains the rays.

Angles are also formed by the intersection of two planes.

The name of the angle are ∠D and ∠CDE.

Hence, the name for the angle shown is  ∠D and ∠CDE.

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Answer:

x = 2 , y = 6

Step-by-step explanation:

Solve the following system:

{3 x + 2 y = y + 12 | (equation 1)

4 y - 7 x = 10 | (equation 2)

Express the system in standard form:

{3 x + y = 12 | (equation 1)

-(7 x) + 4 y = 10 | (equation 2)

Swap equation 1 with equation 2:

{-(7 x) + 4 y = 10 | (equation 1)

3 x + y = 12 | (equation 2)

Add 3/7 × (equation 1) to equation 2:

{-(7 x) + 4 y = 10 | (equation 1)

0 x+(19 y)/7 = 114/7 | (equation 2)

Multiply equation 2 by 7/19:

{-(7 x) + 4 y = 10 | (equation 1)

0 x+y = 6 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{-(7 x)+0 y = -14 | (equation 1)

0 x+y = 6 | (equation 2)

Divide equation 1 by -7:

{x+0 y = 2 | (equation 1)

0 x+y = 6 | (equation 2)

Collect results:

Answer:{x = 2 , y = 6

Answer:

No not yet. But Sumter County is supposed to get rain all week starting today. It's starting to thunder now.

Answer:

Oh yeah...

Step-by-step explanation:

Arthur is bullying my house.......

(Brainliest?)

Answer:

the answer would be <RSV &<TSV

Answer:

RSV and TSV

Step-by-step explanation:

Supplementary angles are those that add to 180 degrees

RSV and TSV form a straight line so they add to 180

They are complementary angles

Answer:

Part A. The statistical advantage of using the median is that the median is less effected by skewed data and outliers.

Part B. I would select method two because method one has a non-response bias and the sample individuals are not selected at random.

Step-by-step explanation:

Higher values pull averages up where medians just select the middle value and aren't necessarily pulled by outliers.

Non response biases happen when the individuals chosen choose not to answer or can volunteer to answer.

Sending out emails to everyone at the org is not choosing them at random.

A statistical advantage of using the median instead of the mean as the estimate of the typical amount raised is that the median is less sensitive to extreme values or outliers.

Method 1 would be the better choice for estimating the average yearly amount raised by all 10,530 members of the charity organization

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

Part A:

A statistical advantage of using the median instead of the mean as the estimate of the typical amount raised is that the median is less sensitive to extreme values or outliers.

In this case,

If there were a few attendees who contributed a very large amount of money, it would increase the mean and make it an overestimate of the typical amount raised.

However, the median would not be affected by the outliers, and it would give a better estimate of the typical amount raised by the majority of the attendees.

Part B:

Method 1 would be a better choice for estimating the average yearly amount raised by all 10,530 members of the charity organization.

This is because it would have a larger sample size than method 2, which would make the estimate more precise and reduce the sampling error.

Additionally,

Method 1 would include a broader range of members, including those who may not have attended the event or who may have contributed in other ways besides donating money.

Method 2, on the other hand, would have a smaller sample size and would only include a random subset of the organization's members, which could lead to sampling bias if the selected members are not representative of the larger population.

Furthermore, the follow-up required by method 2 would make it more time-consuming and potentially less cost-effective than method 1.

Thus,

Method 1 would be the better choice for estimating the average yearly amount raised by all 10,530 members of the charity organization because it would have a larger sample size, include a broader range of members, and be more cost-effective than method 2.

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Answer:

Step-by-step explanation:

3/4 * 2 = 1 1/2

The factory made two batches of granola bars.

Answer:

~235.8

Step-by-step explanation:

200^2 +125^2= distance traveled^2

55625= distance traveled^2

235.849528301

Step-by-step explanation:

D= rt

Where D is distance r is rate and t is time

15 < r3

15/3 < r

5< r

The inequality is Rate > 15 / 3. And the swimming rate of a manatee swims for 15 miles in 3 hours will be 5 miles per hour.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The swimming rate of a manatee swims for 15 miles in 3 hours is given as,

Rate > 15 / 3

Rate > 5 miles per hour

The inequality is Rate > 15 / 3. And the swimming rate of a manatee swims for 15 miles in 3 hours will be 5 miles per hour.

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Answer:

B. Triangles A and C

Step-by-step explanation:

Let's find the missing angle of all Triangles:

Triangle A: 180-110-30=40°

Triangle B: 180-30-45=105°

Triangle C: 180-110-40=30°

All triangle angles in numerical order:

ΔA: 30, 40, 110

ΔB: 30, 45, 105

ΔC: 30, 40, 110

We see that only ΔA and ΔC are congruent with the same angle sizes.

Answer:

see below

Step-by-step explanation:

Experimental means what actually happened

P(odd) = (number of 1 + number of 3 + number of 5) / total

           = (10+8+8) / 50

           = 26/50

           = 13/25 = 52%

Theoretical means  what we expect to happen

P (odd) = (number of 1 + number of 3 + number of 5) / total

             =(1+1+1)/6

             =1/2 = 50%

We rolled an odd just a little more than the expected amount of times

Answer:

yes

Step-by-step explanation:

The formula to calculate the area of a trapezoid is as follow:

4 * (8 + 16) * 1/2

Answer:

trapezoid area :(a+b)/2 ×h

(16+ 8)/2 ×4

=48

Answer:

192

Step-by-step explanation:

Add 8 started from 2 and keep going till you hit 192.

Answer:

a1 = 2      d = 8

n = 13

an = a1 + d(n-1)

a(13) = 2 + 8(13-1)

2 + 8(12)

2 + 96 = 98

Step-by-step explanation:

1. identify the terms

2. write down the arithmetic sequence formula and then replace the letters with their values.

3. do parenthesis first, then multiply by d.

4. add them together to get the 13th term

Answer: 7/24

Step-by-step explanation: Think of the 2 as 2/1.

When dividing by a fraction, we can simply change, we can simply change the multiplication sig to division and take the reciprocal of the second fraction or flip the second fraction.

So our problem can be rewritten as [tex](\frac{7}{12})[/tex] [tex]x[/tex] [tex](\frac{1}{2})[/tex].

Now multiplying across the top and bottom we get 7/24.

Answer:

7/24

Step-by-step explanation:

the guy was right! (also khan said so)

Answer:

D

Step-by-step explanation:

[tex]2x^2+2x+12=3x^2-x+2\\2x+12=x^2-x+2\\x^2-3x-10=0\\(x-5)(x+2)=0\\x=5, -2[/tex]

The correct answer is choice D. Hope this helps!

Answer:

{-5, 2}

Step-by-step explanation:

  [tex]2x^{2} + 2x + 12 = 3x^{2} -x + 2[/tex]    move everything to the right side

[tex]-2x^{2} -2x-12=-2x^{2} -2x-12[/tex]  add line 1 and 2 to get the below equation

                      [tex]0 = x^{2} -3x -10[/tex]   find multiples of -10 that add to give you -3

                                                    to get -10 we have to have (+)(-)

                                                           {-5, 2}

Answer:

The slope is 3

Step-by-step explanation:

The slope is 3 because when you set up the equation (-2,-3) is labeled as x1 and y1 and (-4,-9) is labeled as x2 and y2. When you set up the equation you get -9--3 / -4--2, which becomes -6/ -2, which then becomes -3/-3, which is really just 3. :)

The slope of the line given is 3.

Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing the change in the y-value between two points over the change in the x-value.

Given is a line passing through points (-2, -3) (-4, -9)​, we need to find its slope,

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:-

y₂-y₁ / x₂-x₁

Here, (x₁, y₁) and (x₂, y₂)  are (-2, -3) (-4, -9)​

So, the slope is = -9+3 / -4+2 = -6 / -2 = 3

Hence, the slope of the line given is 3.

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Answer:

C

Step-by-step explanation

Answer:

c

Step-by-step explanation:

Answer:

(D) 7, 3

Step-by-step explanation:

If a set has 'n' elements, the total number of subsets is (2^n) - 1

So if set A has more subsets than set B, it needs to have more elements, so option (A) and (B) can't be correct.

So, checking option (C), we have:

Set A: number of subsets = 2^8 - 1 = 255

Set A: number of subsets = 2^4 - 1 = 15

Difference: 255 - 15 = 240

The difference is not 120, so this is not the correct option

Option (D):

Set A: number of subsets = 2^7 - 1 = 127

Set A: number of subsets = 2^3 - 1 = 7

Difference: 127 - 7 = 120

Correct option: (D)

Answer:

Gross pay per week = $234

Federal income tax = $421.2

Social security = $174.96

Medicare =$40.71

net pay per week = $181

Total gross pay = $2,808

Total net pay = $2172

Step-by-step explanation:

Hi, to answer this question, first, we have to calculate Angela gross income per week:

18 hours per week x $13 per hour = $234 per week (gross)

234 x 12 =2,808

Amount taken ; multiply weekly gross pay by each percentage discount in decimal form (divided by 100)

Federal income tax = 234 x (15/100) = $35.1  (in 12 weeks = 35.1 x 12 = $421.2)

Social security = 234 x (6.2/100)= $14.508 (in 12 weeks = 14.5 x 12 = $174.96)

Medicare = 234 x (1.45/100)=$3.393  (in 12 weeks = 3.39x 12 = $40.71)

Total amount taken (per week)= 35.1+14.508+3.393=$53.001

Net pay per week = 234-53 = $181

For the total gross pay we have to multiply the weekly gross pay by the number of weeks (12)

Total gross pay = 234 x 12 =$2,808

Total net pay = 181 x 12 = 181 per week x 12 = $2172

Answer: 3 feet by 10 feet rectangle

===========================================================

Explanation:

Assuming this garden is a rectangle, it has dimensions L and W which are the length and width respectively.

perimeter of rectangle = 2*(length+width)

P = 2*(L+W)

26 = 2(L+W) ... plug in given perimeter

26/2 = L+W .... divide both sides by 2

13 = L+W

13-W = L  .... isolate L by subtracting W from both sides

L = 13-W

------

Area of rectangle = Length*Width

A = L*W

A = (13-W)W .... replace L with 13-W

A = W(13-W)

A = 13W - W^2 ..... distribution

30 = 13W - W^2 .... plug in given area A = 30

W^2 - 13W + 30 = 0 ... get everything to one side

(W - 10)(W - 3) = 0 ...... factor

W-10 = 0 or W-3 = 0 ...... zero product property

W = 10 or W = 3

----------

If the width is W = 10, then

L = 13-W

L = 13-10

L = 3 is the length

Or if the width is W = 3, then

L = 13-W

L = 13-3

L = 10 is the length

Either way, this is a 3 ft by 10 ft rectangle

--------

Check:

Area = length*width = 10*3 = 30 square feet

perimeter = 2(length+width) = 2*(10+3) = 2*13 = 26 feet

or you could say

perimeter = L+W+L+W = 10+3+10+3 = 13+13 = 26 feet

we get the correct area and perimeter, so this confirms our answer.

b is two fifths of c, so we make this a ratio with c = 1.

The ratio of b:c is 2/5 : 1

We also have 4a = 3c, rewrite this ratio so c is 1 by dividing both sides by 4,

so we get the ratio of a to c as 3/4 : 1

Now we get the a:b:c ratio of 3/4 : 2/5 : 1 now we can change the fractions to whole numbers, first by multiplying the 3 numbers by 4 to get get rid of the denominator of 4 in a:

3 : 8/5 : 4

Now multiply the 3 numbers by 5 to remove the denominator  of 5 in b:

15 : 8 : 20

Now we can check using the equations:

b is 2/5 of c:  20 x 2/5 = 40/5 = 8 This is true.

4a = 3c: 4(15) = 3(20) = 60 = 60, this is also true.

The ratios is 15 : 8: 20

Answer:

Step-by-step explanation:

Serena walks 4 km in 1 h.

That means:

1) She walks 4 km per hour.

2) She spends 1/4 = 0.25 hour per mile.

Have a good day.

We can write this as:

4 kilometers/1 hour

The unit rate is already simplified so there is nothing else to do.

Answer: 4km/1hr

Best of Luck!

Answer: 13/250 or 0.052

Step-by-step explanation:

4.16 (1/100000)/ 8 (10^-4)

Then keep doing order of operations and dividing down.

Answer:

5.2*10^-2

Step-by-step explanation:

Answer:

Volume = 680 ft³

Step-by-step explanation:

Given

Floor Area = 85 ft²

Height = 8 ft

Required

Volume of the Kitchen

To solve this, it'll be assumed that Tony's kitchen has a regular shape.

Having said that, the volume of Tony's kitchen is calculated as thus.

Volume = Floor Area * Height.

Substitute the values of floor area and height

Volume = 85ft² * 8ft

Volume = 680 ft³

Hence, the volume of Tony's kitchen is 680ft³

Answer:

No solution

Step-by-step explanation:

Let's solve this system using elimination through addition/subtraction.  Multiply the second equation by (1/2), which results in the system

y - 4x = 5

4x - y = 8

--------------

0x + 0y = 13.  This is NEVER true.  This system of equation has NO  SOLUTION.

Answer:

y=1.09x+0.4

Step-by-step explanation:

Let's assume that the price of beef stays the same for every pound of beef (the first pound is also $1.09)

Then, the equation would be, it y was the cost, and x was pounds:

y=1.09x

But, the price of beef is not the same for the first pound.

The first pound costs an extra 1.49-1.09=0.4 dollars a pound, so we will add that to the equation.

y=1.09x+0.4