Shawn designs a rectangular garden as shown below. He will design both rock sections to have the same width (x). A. Use exactly two terms to write an equivalent expression to represent the perimeter, in feet, of Shawn's garde .

Answer:

x = 30°

Step-by-step explanation:

The angles of a pentagon add up to 540°

Make an equation adding up the angles to equal 540°

x + 4x + 4x + 135° + 135° = 540°

Simplify

9x = 270°

Divide

x = 30°

The equation in slope intercept form is C(h) = 50h+25  ,the total cost for 8 hours of work is $425 , and for 10 hours of work  is  $525.

In the question;

it is given that

the fixed charge of plumber = $25

charge for per hour of service = $50

the hours of service be "h"

and the total cost be "C"

according to the question

C(h) = 50h+25

the equation in the slope intercept form is C(h) = 50h+25

to find the total cost for 8 hours of work , put h=8

C(8) = 50(8) + 25

= 400+25

= 425

to find the total cost for 10 hours of work , put h=10

C(10) = 50(10) + 25

= 500+25

= 525

Therefore , total cost for 8 hours of work is $425 , and for 10 hours of work  is $525 .

The given question is incomplete , the complete question is

A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work? 10 hours of work?

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To identify the inequality of the given graph:

1. Identify the equation of the borderline in slope-intercept form (y=mx+b)

- Find the slope (m): Use two points in the line in the next formula:

- Identify the y-intercept (b): the value of y where the line cross the y-axis (when x is 0)

b= -1

Equation of the border line:

2, Identifify the inequality sing:

-When the inequality is < or > the borderline is a dotted line

-When the inequality is ≥ or ≤ the border line is a full line

-When the inequality is < or ≤ the shaded area is under the borderline

-When the inequality is > or ≥ the shaded are is over the borderline

In this case you have a dotted borderline and a shaded area under the borderline, then, the inequality is:

The number of positive factors of 96  which are also multiples of 12 are 4 which are 12,24,48, and 96.

Positive factors of 96 = 1,2,3,4,6,8,12,16,24,32,48 and, 96

Multiples of 12 upto 96 = 12,24,36,48,60,72, 84 and 96

Common numbers between the two are 12,24,48 and 96.

Hence, there are only 4 positive factors of 96 which are also the multiples of 12

Factors

Factors are the numbers that can divide a number exactly. Hence, after division, there is no remainder left.

Multiples

A multiple is a result obtained by multiplying a number by an integer(it shouldn’t be a fraction). The multiples of the whole number are obtained by taking out the product of the counting numbers and that of whole numbers.

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First step is to write the equation in slope-intercept form

[tex]x - 5y = 5\\-5y = -x+5[/tex]      To make simplification easier, multiply negative to both sides

[tex]5y = x-5\\[/tex]  Now, you must divide 5 to both sides to isolate the variable

[tex]y = \frac{x}{5} - 1[/tex] To tell the slope more easily, turn [tex]\frac{x}{5}[/tex] into [tex]\frac{1}{5} x[/tex]

To rewrite the equation: [tex]y = \frac{1}{5} x - 1[/tex]

Now, you are able to see the slope(m) being [tex]\frac{1}{5}[/tex]

Next, you use the formula y=mx+b to solve for b (replace your newly found slope and points "x" and "y"

[tex]20 = (\frac{1}{5} *-15) + b\\20 = -3 + b\\b -3 = 20\\b = 23[/tex]

Final Answer:   [tex]y = \frac{1}{5} + 23[/tex]

Hope this helps :)

The result of the equation -3/2 = (-2/3)w - 4/5 is w = 21/20

The equation is

(-2/3)w - 4/5 = -3/2

Here we have to rearrange the terms and combine the like terms.

Mover 4/5 to the right hand side of the equation

(-2/3)w = -3/2 + 4/5

(-2/3)w = -7/10

Move the number (-2/3) to the right hand side of the equation

x = -7/10 ÷ (-2/3)

To make it multiplication, take the reciprocal of the the second number

x = -7/10 × (-3/2)

Multiply the numbers

x = 21/20

Hence, the result of the equation -3/2 = (-2/3)w - 4/5 is w = 21/20

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The amount of coffee she bought is 5.16 pounds.

She received a $70 gift card for a coffee store.

She used it in buying some coffee that cost $8.36 per pound after buying a coffee she had $26.85 left.

Therefore, base on the card, the number of pounds of coffee she bought can be calculated as follows;

Hence,

let

the amount of coffee she bought in pounds = x

Hence,

70 = 8.36x + 26.85

70  - 26.85 = 8.36x

43.15 = 8.36x

divide both sides by 8.36

43.15 / 8.36 = x

x = 5.16148325359

Therefore, the amount in pounds is 5.16 pounds.

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All the rational numbers are;

2. - √25

4. 100

5. √0.36

6. √0.0144

7. √36

8. √ 49

What is Rational number?

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Given that;

All the numbers are,

1. √75

2. - √25

3. 2√7

4. 100

5. √0.36

6. √0.0144

7. √36

8. √ 49

Now,

1. √75 = 8.660250

Clearly, It cannot be written as the form of p / q.

So, It is not a rational number.

2.  - √25 = - 5

It can be written as;

- √25 = - 5 / 1

So, It is a rational number.

3. 2√7

Since,  √7 is an irrational number.

So, 2√7 is not a rational number.

4. 100

It can be written as;

100 / 1

So, It is a rational number.

5. √0.36 = 0.6

              = 6 / 10

              = 3 / 5

Thus, It is a rational number.

6. √0.0144 = 0.12

                 = 12 / 100

                 = 3 / 25

So, It is a rational number.

7. √36 = 6

          = 6 / 1

So, It is a rational number.

8. √ 49 = 7      

            = 7 / 1

So, It is a rational number.

Therefore, All the rational numbers are;

2. - √25

4. 100

5. √0.36

6. √0.0144

7. √36

8. √ 49

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Answer:

BD = 56

Step-by-step explanation:

x + 21 = 4x

3x = 21

x = 7

x + 4x + 21

5x + 21

35 + 21

56

Answer:

B, D, E

Step-by-step explanation:

2x - 5 = 15

2x = 20

x = 10

B) 2x = 20

x = 10

D) 2x - 20 = 0

2x = 20

x = 10

E)4x - 10 = 30

4x = 40

x = 10

In this session we will focus on calculating the composition of f and f.

given the function f, the composition f composition f is obtained by taking the definiton of f and replace the varaible x with the function f itself. So we are given that

So

So we have that f composition f is the function x.

The perimeter of triangle ABC that is congruent to triangle XYZ is: 36 cm.

Triangles that are congruent to each other have corresponding side lengths that have the same lengths that are equal to each other.

The sum of all the three sides of a triangle is equal to the perimeter of the triangle.

Since triangle ABC is congruent to triangle XYZ, their corresponding side lengths will also be congruent to each other. That is, they will have the same lengths.

Therefore:

Side AB = side XY = 12 cm [corresponding congruent sides]

Side AC = side XZ = 14 cm [corresponding congruent sides]

Side BC = side YZ = 10 cm [corresponding congruent sides]

Find the perimeter of triangle ABC by adding all three triangles together.

Perimeter of triangle ABC = side AB + side AC + side BC

Perimeter of triangle ABC = 12 + 14 + 10

Perimeter of triangle ABC = 36 cm

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Answer: 1/5

Step-by-step explanation: It might be first easier to put it in decimal form so 8/10 is 0.8 and 0.8 divided by 4 is 0.2. 0.2 as a fraction is 1/5.

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

convert element to fraction: 4 = [tex]\frac{4}{1}[/tex]

= [tex]\frac{8}{12}[/tex] ÷[tex]\frac{4}{1}[/tex]

The fraction rule: a/b ÷ c/d = a/b x d/c

= [tex]\frac{8}{12}[/tex] × [tex]\frac{1}{4}[/tex]

Cross - cancel common  factor: 4

= [tex]\frac{2}{12}[/tex]

Cancel the common factor: 2

= [tex]\frac{1}{6}[/tex]

The total possible choices of password that are available is 21,266,960,000.

The length of the password has to be of 9 characters.

Three of them should be letters, 2 should be symbols from the 11 choices of the symbols and 4 have to be digits.

Any of the following can be repeated in the password,

So, making the combination of 9 characters.

As we know, letters are 26, so, there are 26 choices each for three places.

Also, if 11 symbols are available, then there are 11 choices each are available for the two places and the total number of 10 which are 0 to 9, so, there are 9 choices each for the last four places,

Hence the final combination would be,

= 26 x 26 x 26 x 11 x 11 x 10 x 10 x 10

= 21,266,960,000

Hence the total password available are 21,266,960,000.

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Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

i got it right on the exam!

Answer:

$468.16

Step-by-step explanation:

answer key

Answer:

1,730

Step-by-step explanation:

173x10 (pieces)= 1730

Answer:

2(5*7) + 2(4*7) + 2(4*5)

Step-by-step explanation:

I can't really see all the values on the cuboid. I'm going to assume the dimensions are 5cm by 4cm by 7cm.

Surface area of this cuboid would be:

2(5*7) + 2(4*7) + 2(4*5)

It is not possible to write a linear inequality such that the solution contains only positive values of x and y.

This happens because every line on the coordinate plane must have a y-intercept and/or an x-intercept. When the line crosses an axis, either the variable x or y changes its sign.

The system of equations that could be used to determine the number of drinks and the number of tacos that Jordan bought are 2.5x + 2y = 26 and y = x + 4.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Let's assume that number of drinks that Jordan and his children bought is x while the number of tacos is y.

The cost of drinks = 2.50x

Cost of tacos = 2y

Total cost 2.5x + 2y

2.5x + 2y = 26

Given that,

He bought 4 more tacos than drinks.

Therefore,

y = x + 4.

Hence "The system of equations that could be used to determine the number of drinks and the number of tacos that Jordan bought are 2.5x + 2y = 26 and y = x + 4".

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In the images, we are given an exercise which is solved by taking T as the midpoint of SU. This is the

The balance of the checks and cash (receipts and payments) is -$245.90.

The balance is the difference between receipts of cash and payments of checks and cash.

Using addition and subtraction operations, the balance is determined as follows:

32.96

121.03

24.70

Total checks = $178.69

22 one dollar bills = $22.00 (22 x $1)

5 ten dollar bills       $50.00 (5 x $10)

15.21 in coins              $15.21

Total cash payments = $87.21

$20 cash received

Total cash = $67.21

Balance   = -$245.90 [$20 - ($87.21 + $178.69)]

Thus, the balance of the checks and cash totals -$245.90, showing that payments outstripped receipts.

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How much is the balance between receipts and payments?

The 10th term of the Geometric Sequence {3,4,16/3....} is 262144/6561.

The [tex]n^{th}[/tex] term of the Geometric Sequence is

given by the formula

aₙ = a*rⁿ⁻¹

where , a is the first term , r is the common ratio .

in the question ,

the sequence is given as {3,4,16/3....}

here we need to find the common ratio(r) ,

we know , r = a₂/a₁

So , r= 4/3 .

Since we need to find the 10th term  , so n=10 .

Substituting the values in the nth term formula , we get

a₁₀ = (3)*(4/3)¹⁰⁻¹

= 3* (4/3)⁹

= 4⁹/3⁸

= 262144/6561

The 10th term is 262144/6561.

Therefore , the 10th term of the Geometric Sequence {3,4,16/3....} is  262144/6561.

The given question is incomplete , the complete question is

Find the 10th term of the Sequence  {3,4,16/3....} ?

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The ratio of the number of girls to the number of adults is 5 : 1.

Ratio is used to compare two or more values together. Ratio shows the frequency of one number compared to the frequency of another number. The sign that is used to represent ratio is :.  

The ratio of the number of girls to the number of adults = number of girls : number of adults

number of girls = 100

number of adults = 20

The ratio of the number of girls to the number of adults = 100 : 20

Express the ratio in its simplest form. To do this, divide both numbers by the greatest common factor of 100 and 20. The greatest common factor of 100 and 20 is 20.

The ratio of the number of girls to the number of adults = 5 : 1

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Answer:

Explanation:

Given the function f(x)

A translation of 2 units up = f(x)+2

Next, a translation of 2 units right = f(x-2)+2

When we reflect the result above in the x-axis, we have:

A rule for g is therefore:

Answer:

a) 199

f(-6)= 5(-6)^2 - 3 (-6) + 1 =199

b) 37

f(3)= 5(3)^2 - 3 (3) + 1 =37

PLUG IN THE VALUES IN THE RIGHT POSITIONS AND SIMPLIFY.

[tex] = 2( \frac{1}{2} + \frac{3}{4} ) + 6 \\ = 2( \frac{5}{4} ) + 6 \\ = \frac{10}{4} + 6 \\ = \frac{5}{2} + 6 \\ = \frac{17}{2} [/tex]

THE ANSWER IS OPTION C.