Find the number of ways of arranging the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 in a row so that the product of any two adjacent numbers is even or a multiple of 3

Answer:

1065.1

Step-by-step explanation:

Part a:

1. Halloween's piecework pay = $148.20

2. Halloween's total hourly pay for the week = $364

3. Halloween's total pay for the week = $512.20

Part b:

Total amount received for the week = $520 and she earns more when she get the straight salary on hourly basis.

Part c:

Halloween's hourly pay for 0 units production = $364

Salary is a compensation or fixed amount of money paid to an employee by an employer in return for work performed.

For the given situation,

Halloween's salary received per hour = $9.10

Halloween's piecework pay per unit = 15 cents

Total work per week = 40 hours

Total unit produced per week = 988 units.

Part a:

1. Halloween's piecework pay = [tex](988)(15)[/tex]

⇒ [tex]14820 cents[/tex]

we know that $1 = 100 cents

⇒ [tex]\$148.20[/tex]

2. Halloween's total hourly pay for the week = [tex](40)(9.10)[/tex]

⇒ [tex]\$364[/tex]

3. Halloween's total pay for the week = [tex]364+148.20[/tex]

⇒ [tex]\$512.20[/tex]

Part b:

Halloween's boss offered to pay her a straight $13 per hour and no piecework pay for the week.

Total amount received for the week = [tex](40)(13)[/tex]

⇒ [tex]\$520[/tex]

Difference in pay = [tex]520-512.20[/tex]

⇒ [tex]\$7.80[/tex]

Thus, she earns more when she get the straight salary on hourly basis.

Part c:

If her production is 0 units, then she might get her hourly pay only.

⇒ [tex](40)(9.10)[/tex]

Hence we can conclude that

Part a:

1. Halloween's piecework pay = $148.20

2. Halloween's total hourly pay for the week = $364

3. Halloween's total pay for the week = $512.20

Part b:

Total amount received for the week = $520 and she earns more when she get the straight salary on hourly basis.

Part c:

Halloween's hourly pay for 0 units production = $364

Learn more about salary and wages here

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Answer:

Proved

Step-by-step explanation:

Given

[tex]a_n = 2n[/tex]

Required

Prove that [tex]S_n = n(n+1)[/tex]

The given sequence is an arithmetic sequence.

The Sn of this sequence is:

[tex]S_n = \frac{n}{2}(a_1 + a_n)[/tex]

Calculate a1

[tex]a_n =2n[/tex]

[tex]a_1 =2*1[/tex]

[tex]a_1 =2[/tex]

So, we have:

[tex]S_n = \frac{n}{2}(a_1 + a_n)[/tex]

[tex]S_n = \frac{n}{2}(2 + 2n)[/tex]

Factor out 2

[tex]S_n = \frac{n*2}{2}(1 + n)[/tex]

[tex]S_n = n(1 + n)[/tex]

[tex]S_n = n(n + 1)[/tex] --- Proved

Answer:

Step-by-step explanation:

Answer:

Are you sure?

None

Step-by-step explanation:

A. x= -3 , y= 3

x + y =

-3 + 3 = 0

B. x= -3 , y= -3

x + y =

-3 + -3 = -6

C. x= 3 , y= 3

x + y =

3 + 3 =6

D. x= 3 , y= -3

x + y =

3 + -3 = 0

The answer is 840.

I hope am right

Answer:

93°

Step-by-step explanation:

In triangle ABC

one angle = 68°

Another angle = 19°

Let the third angle be X Then

x + 68° + 19° = 180° { being sum of angles of triangle }

x = 180° - 87°

x = 93°

The measure of the third Angle is 93°

Hope it will help :)

Answer:

67

Step-by-step explanation:

she picked 67 because if you take how many she had at the end and subtract it from the starting number it gives you 67

Answer:

$56.16

Step-by-step explanation:

74.88 times 0.75 =56.16

Answer:

$56.16

Step-by-step explanation:

To find the sale price, multiply the original price by 0.75:

74.88(0.75)

= 56.16

So, the sale price is $56.16

Answer:

3/15 < 1/3

Step-by-step explanation:

We have two fractions, 3/15 and 1/3. The question is asking us to compare them using the less than sign <, greater than sign >, or equal sign =.

To solve this question, what we must do is try to get both fractions the same denominators, which will be done through multiplying 3 by a certain number to get to 15, then doing the same for the numerator.

So what multiplied by 3 gets us 15?

5.

Multiply both the numerator and denominator by 5.

[tex]\frac{1*5}{3*5}[/tex]

[tex]\frac{5}{15}[/tex]

Now that they both have the same denominator, we can compare and see which is bigger.

5/15 (1/3) and 3/15.

By this we can see that 3/15 is less than 5/15.

Therefore 3/15 < 1/3

Answer:

the number of t-shirts sold to breakeven is 56 t-shirts

Step-by-step explanation:

The computation of the number of t-shirts sold to breakeven is shown below:

= Fixed cost ÷ (Selling price - cost price)

= $350 ÷ ($10 -  $3.75)

= $350 ÷ 6.25

=  56 t-shirts

Hence, the number of t-shirts sold to breakeven is 56 t-shirts

Answer:

14 inches

Step-by-step explanation:

Using this information, we can form an equation.

Since there are 3 sides in a triangle, and each side increased by 6, that means that the perimeter increased by 18 inches. Down below, I did 3x because there are 3 sides in a triangle.

(This is the equation you'd want to do to get the answer)

3x + 3 * 6 = 60

Simplify:

3x + 18 = 60

Same to both sides

3x = 42

Isolate x:

x = 14

Let me know if you have any questions

Answer:

the first graph

Step-by-step explanation:

the one with (0,-1) (-3,1) (3,-3)

Answer:

18inches I HOPE IM RIGHTTT

Answer:

350

Step-by-step explanation:

you do length•width•height. so

10•7=70 and 70•5=350

Answer:

s = 268.27

Step-by-step explanation:

simplify: 75+19547-11s=16671

simplify more: 19622-11s=16671

subtract 19622 on both sides: -11s=-2951

divide both sides by -11: s=268.27

Answer:

Slope: 5/3

Step-by-step explanation:

Linear equation:

y = mx + b

m is the slope

so if,

y = 5/3x - 4

5/3 is the slope.

Hope this helps :)

Let me know if there are any mistakes!!

answer 41x

Step-by-step

Answer:

-14. Aunque podría estar equivocado. Espero poder ayudar

Step-by-step explanation:

Answer:186.66is answer

p=14000

r=8%

time=60days=2month/12=1/6year

Step-by-step explanation:

simple interest=ptr/100=14000×8×1/600=186.666

Answer:

its 6 cm, 8cm, and 10 cm

Step-by-step explanation:

i just took the quiz

Step-by-step explanation:

substitute the value in the value of x and u will get the result.

Answer:

[tex]r \le 10[/tex]

[tex]s > -1[/tex]

[tex]t \ne 5[/tex]

[tex]x \le -3[/tex]

[tex]y \ne 1[/tex]

Step-by-step explanation:

Required

Translate to mathematical statements

a) r is less than or equal to ten.

less than or equal means [tex]\le[/tex]

So, the expression is:

[tex]r \le 10[/tex]

b) s is more than negative one

More than means >

So, the expression is:

[tex]s > -1[/tex]

c) t isn't the same as negative  five.

isn't the same means not equal to ([tex]\neq[/tex])

So, the expression is:

[tex]t \ne 5[/tex]

d) x is at most negative three.

At most means [tex]\le[/tex]

So, the expression is:

[tex]x \le -3[/tex]

e) y is never one.

is never means not equal to ([tex]\neq[/tex])

So, the expression is:

[tex]y \ne 1[/tex]

Answer:

Step-by-step explanation:

Answer:

31/2 d nada xdddddddddddddddddddddddddddd

Answer:

0.1709 in words-

Point one seven zero nine

Step-by-step explanation:

1

9

2

5

5

8

6

7

−

1

9

8

9

7

6

6

6

7

+

4

4

5

`Answer:

a)x=-9

b)x=71

c) x=3

d)x=9

Step-by-step explanation:

thats what i got unless im really stoopid

Answer:

A. 5x+6

Step-by-step explanation:

-[tex]\frac{1}{3}[/tex](9x-18)+8x

-3x+6+8x (multiply across the -1/3)

5x+6 (combine 8x and -3x)