Round to the nearest cent.
5. $406.439

The correct answer is $241.1 each week and $964.4 each month

Explanation:

To calculate the amount Karen should receive, it is required to calculate the money she earned from Monday to Saturday and then the money she earned on Sunday as the amount paid per paper is different on Sunday.

Monday to Sunday:

Karen delivers 124 papers each day from Monday to Sunday. This means she delivers a total of 744 papers (124 papers each day x 6 days = 744 papers). Now, let's find the money she earned from Monday to Sunday:

744 papers x 18.2 cents = 13540 cents or 135.4 dollars (each dollar is equivalent to 100 cents, which means if you divide the cents into 100 you get the equivalent in dollars)

This means the total Karen earned from Monday to Saturday is $135.4

Sunday:

Karen delivers 151 Sunday papers and with each of these she earns 70 cents

151 papers x 70 cents = 10570 cents or 105.7 dollars

Total per week:

$135.4 + $105.7 = $241.1 each week, which is equivalent to $964.4 a month ($241.1 x 4 weeks = $964.4 )

Answer:

  z = 5/2y -1

Step-by-step explanation:

We observe that z has ...

To solve for z, we undo these operations in reverse order.

  [tex]\dfrac{2}{5}(z+1)=y\qquad\text{given}\\\\z+1=\dfrac{5}{2}y\qquad\text{multiply by 5/2}\\\\\boxed{z=\dfrac{5}{2}y-1}\qquad\text{subtract 1}[/tex]

Step-by-step explanation:

Above is the solution....

Answer:

(3/2)x - 14

Step-by-step explanation:

If two lines are perpendicular, their slopes are mathematically negative reciprocals of one another.

Here the given line is y = (-2/3)x; the slope is -2/3, and the negative reciprocal of that is 3/2.  The desired line will have this slope 3/2.

Using the slope-intercept form of the equation of a straight line, y = mx + b, we write out

-8 = (3/2)(4) + b, obtaining -8 = 6 + b, or b = -14.

The desired equation is (3/2)x - 14.

Answer:

6 times

Step-by-step explanation:

Turn that fraction into a decimal. 3/4=0.75

Divide!

4.5/0.75=6

A number 4.5 is 6 times of number 3/4.

We have to given that,

To find how many times does 3/4 go into 4.5.

Let us assume that,

x times does 3/4 go into 4.5.

Hence, It can be written as,

⇒ x × 3/4 = 4.5

Solve for x,

⇒ 3x /4 = 4.5

⇒ 3x = 4.5 × 4

⇒ 3x = 18

Divide by 3;

⇒ x = 18/3

⇒ x = 6

Therefore, 4.5 is 6 times of number 3/4.

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Answer:  4n-3

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

Explanation:

day 1 = 1 sold

day 2 = 5 sold

day 3 = 9 sold

day 4 = 13 sold

Each time we're going up by 4. This is effectively the slope of the line since it represents the rate of change. The starting amount sold (1) is the y intercept

So we go from y = mx+b to y = 4x+1

Afterward, replace x with n to get 4n+1

On day n = 0, we have 4n+1 = 4(0)+1 = 1 sold. While this is correct, it doesn't really help to start with day 0 and it's better to start with day 1 instead.

What we can do is replace n with (n-1) and then simplify

4(n-1)+1 = 4n-4+1 = 4n-3

Now plugging in n = 1 leads to 4n-3 = 4(1)-3 = 1

Plugging in n = 2 leads to 4n-3 = 4(2)-3 = 5

and so on.

Excuse me, is this I ready because you know you can get  reported right... just try your best, it's not a real grade! :)

& possibly delete this question because a bot can track and report this to your school. People at my school did that and got in 3 days detention...

Answer:

(1,2), (2,4), (3,6), (4,1), ( 5,3), (6,5)

Step-by-step explanation:

Given the first two solutions of the n-Queens problem for n = 6

The solution requires that no two queens share the same row, column, or diagonal and each variable lies in the domain [1,6] (6 rows).while finding a solution we must ensure that no two queens are not placed on the same row and in the same diagonal

hence the first two solutions can be expressed as :

(1,2), (2,4), (3,6),(4,1),( 5,3), (6,5)

Answer:

is number 6

Step-by-step explanation:

the greatest common factor is the largest common factor of those.

The greatest common factor of 18 and 30 is 6.

To find the greatest common factor (GCF) of 18 and 30, we can list their factors and identify the largest factor they have in common.

Factors of 18: 1, 2, 3, 6, 9, 18

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

The common factors between 18 and 30 are 1, 2, 3, and 6.

The largest common factor is 6.

Therefore, the greatest common factor of 18 and 30 is 6.

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Answer:

20%

Step-by-step explanation:

Total = 45

Absentees = 9

Percentage  = (No. of absentees / total) × 100

                    = 9 / 45 × 100

                    = 0.2 × 100

                    = 20%

Answer:

20% of the children are absent

Step-by-step explanation:

Number of children absent = 9

Total children in the class = 45

Percent of absent children / total children is defined as the quotient 9/45 multiplied by 100. That is;

[tex]\frac{9}{45} \,*\,100 = 0.2 \,*\,100=20\,%[/tex]

SO the percentage is 20%

Answer:

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

Create 2 equations with the repeating number after the decimal point, then subtract the equations to eliminate the repeating number.

let x = 0.4444.... → (1) ← multiply both sides by 10

10x = 4.4444.... → (2)

Subtract (1) from (2) eliminating the repeater

9x = 4 ( divide both sides by 9 )

x = [tex]\frac{4}{9}[/tex]

Thus 0.444444... = [tex]\frac{4}{9}[/tex]

To know which power of 10 to multiply by

The power of 10 is the value to ensure the repeating 4 is after the decimal point.

Here it was [tex]10^{1}[/tex] as we required 0.4444.. → 4.444...

Answer:

1 : 3.

Step-by-step explanation:

15 : 45

Divide both numbers by 15 , we get:

1 : 3.

Step-by-step explanation:

-2, -8/3, -10/3, -4, -14/3

Write as multiples of 1/3.

-6/3, -8/3, -10/3, -12/3, -14/3

This is an arithmetic sequence where the first term is -6/3 and the common difference is -2/3.

Therefore, the recursive formula is:

aᵢ₊₁ = aᵢ − 2/3, a₁ = -2

Answer:

FG = 18

Step-by-step explanation:

to find the length FG

FG + 31 = 49

FG = 49 - 31

FG = 18

Answer:

Step-by-step explanation:

Initial volume of the rectangular room = Length * Width * Height

V = LWH .............1

If the width is doubled then new width W2 = 2W

If the length is increased by 48%, the new Length L2 = L + 0.48L = 1.48L

If the height is increased by 18%, the new height H2 = H + 0.18H = 1.18H

The new volume after increasing all the dimensions will be;

V2 = L2W2H2

V2 = (1.48L)(2W)(1.18H)

V2 = 3.4928LWH ................2

Now we will divide equation 2 by 1 to have;

V2/V = 3.4928LWH/LWH

V2/V = 3.4928

V2 = 3.4928V

This means that the volume of the room has increased by the factor of 3.4928.

Answer:

The radius of [tex]x^{2}+y^{2}-18\cdot x - 14\cdot y +124 = 0[/tex] is [tex]\sqrt{6}[/tex].

Step-by-step explanation:

The given expression must be converted into the standard form of a circle, which is described by:

[tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex]

Where:

[tex]h[/tex], [tex]k[/tex] - Location of center, dimensionless.

[tex]r[/tex] - Radius, dimensionless.

The expression is modified algebraically as follows:

1) [tex]x^{2}+y^{2}-18\cdot x - 14\cdot y +124 = 0[/tex] Given

2) [tex](x^{2}-18\cdot x)+(y^{2}-14\cdot y)+124 = 0[/tex] Commutative and associative properties.

3) [tex](x^{2}-18\cdot x+81)+(y^{2}-14\cdot y +49)+124 = 81+49[/tex] Commutative and associative properties/Compatibility with addition

4) [tex](x-9)^{2}+(y-7)^{2} + 124 = 130[/tex] Perfect square binomial/Definition of sum

5) [tex](x-9)^{2}+(y-7)^{2} = 6[/tex] Compatibility with addition/Existence of additive inverse/Modulative property/Result

Given that [tex]r^{2} = 6[/tex], the radius of the circle is [tex]\sqrt{6}[/tex].

15=2

7+7=14+1=15=2

sooooooooo just going to keep righting

The ratio of student to teacher is 1:7

The quantitative relation between two amounts showing the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given: There are 15 students in a preschool class and for every 7 students there is 1 teacher. Clearly the ratio is 1:7

Hence, The ratio of student to teacher is 1:7

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Answer:

Step-by-step explanation:

(10-5)/(4+2) = 5/6

y - 5 = 5/6(x + 2)

y - 15/3 = 5/6x + 10/3

y = 5/6x + 25/3

Answer:

G.

Step-by-step explanation:

cards = 2

dollars = 9

to check that the number of cards with the correct amount d;

use the ratio and proportion.

(3 x 18)/9 = 4

(4 x 31.5)/18 = 7

(7 x 45)/31.5 = 10

therefore, option G. table G. is the correct answer

try doing the ratio and proportion on the other table and the number of cards DO NOT match with the amount.  (see attached)

Answer:

-9n

Step-by-step explanation:

3n(5 + 3n - 8 - 3n)

First we combine the like terms inside the parenthesis:

3n(-3)

Because 5 -8 = -3 and 3n - 3n = 0

Now we multiply:

-9n

because 3n × -3 = - 9n

So the answer is -9n

Answer:

10 units

Step-by-step explanation:

The diagnonals of a rhombus meet at right angle to their selves and bisect each other.

So one quarter will form a right angle triangle of base 6 and height 8.

Let The length of one side of the rhombus be x

X²= 8²+6²

X²= 64+36

X²= 100

X= √100

X= 10 units

Answer:

answer is C. 10 units. Just took the test

Step-by-step explanation:

Answer:

The total cost of the fencing as a function of side is [tex]C = 8\cdot x[/tex].

Step-by-step explanation:

Dimensionally speaking, the total cost is equal to the product of length and cost per length. Given that orchid garden has a square form, there is only an input: Side ([tex]x[/tex]), measured in feet. Therefore, the total cost of fencing is represented by the following formula:

[tex]C = (c_{west} + c_{south} + c_{east})\cdot x[/tex]

Given that [tex]c_{west} = c_{east} = 2\,\frac{\$}{ft}[/tex] and [tex]c_{south} = \$\,4\,\frac{\$}{ft}[/tex], the total cost of the fencing as a function of side is:

[tex]C = 8\cdot x[/tex]

The required number is 4.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The sum of a number and six is ten.

let the number be x.

So, x + 6 = 10

Now, solving for x

x = 10 - 6

x = 4

Hence, the value of x is 4.

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Answer:

Step-by-step explanation:

The probability that the test result  is a false positive

total number of cases studied  (n) = 38 + 12 + 19 + 29 = 98

number of false positive cases ( x ) = 1

probability of false positive result = x / n = 1/98 = 0.010

The non-drug user will suffer from the result since it is positive

Answer: no

Step-by-step explanation:

Answer:

Jill is incorrect

Step-by-step explanation:

Given

[tex]\frac{23}{1000}= 0.23[/tex]

Required

Determine if Jill is correct or incorrect

Start by solving the expression on the left hand side:

[tex]\frac{23}{1000} = 0.023[/tex]

The result of [tex]\frac{23}{1000}[/tex] gives 0.023 and not 0.23 as Jill as said;

Hence;

Jill is incorrect and the expression is false;

Answer:

The Commutative Property is a property that states the order of the numbers in addition and multiplication don't matter. 2+3+7 = 7+2+3

Step-by-step explanation:

7(c+3)+ -4(3c-2)

Distribute the 7 and the -4 to each of their parentheses.

7c+21-12c+8

You can use the Commutative Property to move the terms to places where they can be easily simplified.

7c-12c+21+8

Simplify.

-5c+29

Problem 1

Imagine a rectangle that is 2 by 3. You would have an area of 2*3 = 6 and it is the same as saying 3*2 = 6. The order of multiplication doesn't matter. Visually, we can rotate the rectangle to have the shorter side be horizontal and then make it vertical, and the area is still the same. All we're doing is shifting things around.

Another example is say you had a marching band with 10 rows and 2 columns. That gives 10*2 = 20 people total. Then we could easily form the same number of people into 2 rows and 10 columns. The order of rows and columns doesn't matter because we get the same total number as a result.

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

Problem 2

7(c+3) + -4(3c-2) ..... is the original expression

7(c+3) - 4(3c - 2) .... adding a negative is the same as subtracting

7*c + 7*3 - 4*3c - 4*(-2) .... distributive property

7c + 21 - 12c + 8 .... multiply

(7c-12c) + (21+8) .... group like terms

-5c + 29 ... combine like terms

The original expression simplifies to -5c+29