Erica has 8 squares of felt, each with area 16. For a certain craft project she cuts the largest circle possible from each square felt. What is the combined area of the excess felt left over after cutting out all the circles?

A) 4(4-π)
B) 8(4-π)
C) 8(π−2)
D) 32(4-π)
E) 16(16-π)

Answer:

The shorter side of pentagon is 6cm long

Step-by-step explanation:

Given two equations are:

[tex]y = x + 2\\2x + 3y = 36[/tex]

We can use any one of the methods to solve the simultaneous linear equations

As it is also given that x is the length of shorter side, we have to find the value of x

Using the substitution method

We will put the value of y i.e. x+2 in the 2nd equation

So,

[tex]2x+3(x+2) = 36[/tex]

Simplification gives us:

[tex]2x+3x+6 = 36\\5x+6 = 36\\5x = 36-6\\5x = 30\\x = \frac{30}{5}\\x =6[/tex]

Hence,

The shorter side of pentagon is 6cm long

Answer:

x (total number of hours) = 15

Step-by-step explanation:

Total number of hours = 15

Let the hours spent tutoring french be x.

Therefore hours spent on scooping ice cream = (15 - x)

Amount:    Tutoring french is $15 an hour, total for x hours = 15x

For scooping ice cream  it is $10 an hour   10*(15 - x) = 150 - 10x

To make more than $180

15x  + (150 - 10x)  > 180

15x + 150 - 10x > 180

15x - 10x > 180 - 150

5x > 30

x > 30/5

x > 6

So he needs to tutor more than 6 hours in order to make more than $180

Answer:

x = 102 degrees

Step-by-step explanation:

Since the line is through parrallel lines, we know that angle 2 and angle 7 will be equal to each other, so all you have to do is set the equations equal to each other to solve.

2x-37 = x+65

Subtract x from the left to isolate the variable and add 37 to the right.

x = 102

Answer:

167

Step-by-step explanation:

15x9=135

4x9=32

135+32=167

Hope this helped!

Answer:

The unit rate is 1/2 or 0.5 kilograms per foot

Step-by-step explanation:

In order to find the unit rate we have to divide the number of kilograms by the number of feet

Given information is:

1/3 kilograms : 2/3 foot.

Let u be the unit rate

The unit rate will be calculated as:

[tex]u = \frac{\frac{1}{3}}{\frac{2}{3}}[/tex]

When dealing with fractions

[tex]\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a}{b} * \frac{d}{c}[/tex]

So

[tex]u = \frac{1}{3} * \frac{3}{2}\\u = \frac{1}{2}[/tex]

Hence,

The unit rate is 1/2 or 0.5 kilograms per foot

Answer:

$830

Step-by-step explanation:

Samer's salary each month is $3,650. He spends $1,160 on rent. He breaks the rest of his earnings into 3 other monthly expenses. How much money was in each part?

Step 1

$3,650 - $1,160

= $2490

Step 2

He breaks the rest of his earnings into 3 other monthly expenses. How much money was in each part?

Hence,

$2490/3

= $830

The amount of money in each part = $830

Answer: bbb

Step-by-step explanation:

Answer:

a variable

Step-by-step explanation:

a variable can change and is a letter or symbol that represents a number

A letter or symbol that represents a number (quantity) that can change is a variable

Answer:

Step-by-step explanation:

5. m = 1/4

Equation: y = 1/4x + 2

6. m = 2

Equation: y = 2x – 3

7.  m = -1/8

Equation: y = -1/8x + 2

8. m = undefined

Equation: x = 0

Answer:

35 books

Step-by-step explanation:

40*3=120

120-85=35

Answer:

the answer is 390

Step-by-step explanation:

you see M means = when youre talking about money you put a M so the question is 14x35=390 hope it HELPS!!!!!!!!!

Answer:

14/3(I believe you mean improper fraction)

Step-by-step explanation:

4 mutiply 3 plus 2

Answer:

Mean = 2

Standard deviation = 1.356

Step-by-step explanation:

We are given;

Probability of taxpayers that make mistakes when filling out forms: p = 0.08

Sample size; n = 25

In binomial distribution;

Means is;

μ = np

Thus;

μ = 25 × 0.08

μ = 2

Formula for standard deviation here is;

σ = √(np(1 - p))

σ = √(25 × 0.08(1 - 0.08))

σ = 1.356

The required mean is 2 and standard deviation is 1.356 of the number of forms with mistakes she should expect to find.

Given that,

The Internal Revenue Service estimates that 8% of all taxpayers filling out forms make mistakes.

An IRS employee announces at lunch one day that she is going to check 25 randomly selected forms after lunch.

We have to determine,

The mean and standard deviation of the number of forms with mistakes she should expect to find.

According to the question,

Probability of taxpayers that make mistakes when filling out forms: p = 8%= 0.08

And sample size; n = 25

Therefore,

In binomial distribution mean is determine by the formula,

[tex]\mu = np\\\\\mu = 25 \times 0.08\\\\\mu = 2[/tex]

The mean of the number of forms with mistake she should expect to find is 2.

And, Standard deviation is determined by the formula,

[tex]\sigma = \sqrt{np(1-p)}\\\\\sigma = \sqrt{25\times 0.08 (1-0.08)}\\\\\sigma = \sqrt{2\times0.92}\\\\\sigma =\sqrt{ 1.84}\\\\\sigma = 1.356[/tex]

The standard deviation of the number of forms with mistake she should expect to find is 1.356.

Hence, The required mean is 2 and standard deviation is 1.356 of the number of forms with mistakes she should expect to find.

To know more about Standard deviation click the link given below.

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9514 1404 393

Answer:

  see attached (black dot)

Step-by-step explanation:

We assume you want to plot (r, θ) = (-3, -π/3), where the angle is in radians.

The basic idea is to locate the ray that is in the direction -π/3 radians, then go 3 units in the opposite direction. The point (3, -π/3) is identified in the attached graph by a red circle. Its reflection across the origin is how you plot the point for a negative radius. That reflected point is the black dot.

The equivalent coordinates are ...

  (r, θ) = (-(-3), -π/3+π) = (3, 2π/3)

Answer:

C

Step-by-step explanation:

first equation is y=3/4x+2

second equation is -2x+17

Answer:

ok some idiot mod deleted my answer but literally all i put was k=6

Step-by-step explanation:

Answer:

$15.25

Step-by-step explanation:

You divide 610 and 40 and the will get

$15.25

Because you wanna know how much does he get per hr

Answer:

70

Step-by-step explanation:

7x10=70

Answer:

7x10=70 :)

Step-by-step explanation:

Answer:

108°

Step-by-step explanation:

In order to find the measure of the exterior angle, we first need to solve for a. We know that the sum of a triangles' angles is always 180°.

Now we set up an equation:

180 = 44 + (a + 10) + (180 - 2a)

180 = 44 + a + 10 + 180 - 2a

180 = -a + 234

-54 = -a

54 = a

Because we know that a = 54, we can now solve for the exterior angle:

2(54) = 108

Therefore, the measure of the exterior angle is 108°.

Answer:

Step-by-step explanation:

D

Answer:

I think its B

Hope this helps

Answer:

one solution

Step-by-step explanation:

Given

17 - [tex]\frac{1}{9}[/tex] x = 10 ( subtract 17 from both sides )

- [tex]\frac{1}{9}[/tex] x = - 7 ( multiply both sides by - 9 to clear the fraction )

x = 63

Answer:

2(2 + 3) = 2(2) + 2(3)

Step-by-step explanation:

The first one shows the associative property.

In the second one, the paranthesis is being solved first, therefore the rule of PEMDAS is being applied.

The last one displays the commutative property.

Answer:

2(2 + 3) = 2(2) + 2(3)

Step-by-step explanation:

Answer:

x=−6

Step-by-step explanation:

4x−5=x−23

Step 1: Subtract x from both sides.

4x−5−x=x−23−x

3x−5=−23

Step 2: Add 5 to both sides.

3x−5+5=−23+5

3x=−18

Step 3: Divide both sides by 3.

3x /3=-18/3

x=-6

Answer:

x = 17

Step-by-step explanation:

Assuming that angle BAE and angle DAE are congruent, we want to set the equations 3x - 24 and x + 10 together to make it like this 3x - 24 = x + 10.  Subtract x on both sides to get 2x - 24 = 10.  Add 24 on both sides to get to this equation 2x = 34.  Divide 2 on both sides to get your x value which is 17.

Answer:

C)

The rate of change/slope is constant, when you calculate it for this problem, it doesn't change for any amount of marbles listed in the table

Answer:

m=8

Step-by-step explanation:

Step-by-step explanation:

Rules:

[tex] \sqrt[n]{a} = a^{\frac{1}{n}} [/tex]

[tex] \sqrt[n]{a^m} = a^{\frac{m}{n}} [/tex]

1.

[tex]\sqrt[3]{2} = 2^{\frac{1}{2}}[/tex]

2.

[tex] \sqrt[3]{2x^2} = \sqrt[3]{2} \sqrt[3]{x^2} = 2^{\frac{1}{3}}x^{\frac{2}{3}} [/tex]

3.

[tex]\sqrt[3]{(2x)^2} = \sqrt[3]{4x^2} = \sqrt[3]{4} \sqrt[3]{x^2} = 4^{\frac{1}{3}}x^{\frac{2}{3}}[/tex]

Given that,

Length of a rectangular courtyard = (3x+5)

Width of a rectangular courtyard = (2x-3)

To find,

The expression for area of the courtyard.

Solution,

The area of the rectangular shaped object is given by :

A = lb

Substituting all the values,

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

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

= 6x-9x+10-15

= -3x-5

So, the area of the courtyard is (-3x-5).

By direct calculation (multiplying the two given linear polynomials) we will see that the expression that represents the area is:

A = 6x^2 + x - 15

We know that the area of a rectangle of width W and length L is given by:

A = W*L

Here we know that:

L = 3x + 5

W = 2x - 3

Now we can just replace these in the area equation to get:

A = (3x + 5)*(2x - 3) = 6x^2 + 10x - 9x - 15

A = 6x^2 + x - 15

This is the expression that represents the area of the courtyard.

If you want to learn more, you can read:

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