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mash [69]
2 years ago
7

The amount that Diego earns at his part time job is proportional to the number of hours he works. he earns $10 per hour.

Mathematics
2 answers:
Ira Lisetskai [31]2 years ago
8 0

Answer:

  • y = 10x

Step-by-step explanation:

  • Number of hours worked = x
  • Total earning = y
  • Earning per hour = $10

<u>The proportional relationship formula for this situation is:</u>

  • y = 10x

We just substituted k with 10 to represent hourly earning.

jasenka [17]2 years ago
8 0
  • He earns per hour=10

Let hours be x

  • He earns in 1 h=10x=10(1)=10
  • He earns in 2h=10(2)=20

Hence the expression is

\\ \sf\longmapsto y=10x

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The sales tax in New Jersey is 6%. For a $16 book, what will the total cost be, including sales tax?
Rasek [7]
<span>The sales tax in New Jersey is 6%. For a $16 book, what will the total cost be, including sales tax?
Solutions:
=> 16 dollars is the amount of book
=> 6% is the sales tax which is equals to (6% / 100% = 0.06)
Let’s follow the formula to get the total amount to be paid.
=> 16 dollars * .06 = .96 dollars
Now, let’s add this together:
=> .96 + 16 dollars = 16.96 dollars.</span>



5 0
3 years ago
Read 2 more answers
Kyle went to soccer lessons. He was charged $23.75 for one session. He gave the instructor a 15% tip. How much did Kyle
saul85 [17]

Answer:

$3.563

Step-by-step explanation:

First, I multipled 23.75 times the 15% tip, which you would get 356.250. Then, divide that by 100 to get 3.563. I hope this helps :)

5 0
2 years ago
What is the result when 3x^4+2x^3-5x^2-6x-2 is divided by x+1
SCORPION-xisa [38]

Answer:

The answer to your question is:    3x³ - x² - 4x - 2

Step-by-step explanation:

Data

3x⁴ + 2x³ - 5x² - 6x - 2

x + 1

Process

Synthetic division

                                 3    2    -5   - 6    -2       -1

                                      -3      1     4      2                                            

                                 3   -1     -4    -2      0

 Result        3x³ - x² - 4x - 2

5 0
3 years ago
Which expressions are equivalent to R16? Check all that apply.
Ilya [14]

Option C:  (6^{-4})^{-4}

Option D:  (6^{-2})^{-8}

Option F:  (6^8)^2

Solution:

Given expression: 6^{16}

To find which expression is equivalent to the given expression.

Let us solve this using exponent rule: \left(a^{b}\right)^{c}=a^{b c}

Option A: (6^{0})^{16}

(6^{0})^{16}=6^{0 \times 16}= 6^0

It is not equivalent expression.

Option B: (6^8)^8

(6^{8})^{8}=6^{8 \times 8}= 6^{64}

It is not equivalent expression.

Option C:  (6^{-4})^{-4}

(6^{-4})^{-4}=6^{(-4 )\times (-4)}= 6^{16}

It is equivalent expression for the given expression.

Option D:  (6^{-2})^{-8}

(6^{-2})^{-8}=6^{(-2) \times (-8)}= 6^{16}

It is equivalent expression for the given expression.

Option E:  (6^{-1})^{16}

(6^{-1})^{16}=6^{(-1) \times 16}= 6^{-16}

It is not equivalent expression.

Option F:  (6^8)^2

(6^{8})^{2}=6^{8 \times 2}= 6^{16}

It is equivalent expression for the given expression.

Hence (6^{-4})^{-4}, \ (6^{-2})^{-8}, \ (6^8)^2 are the equivalent expressions.

Option C, Option D and Option F are correct answers.

6 0
3 years ago
A landscape design company is building a large gazebo for a backyard. It is in the shape of the
IceJOKER [234]

The area of the heptagon will be 533.61 square feet. Then the cost of the gazebo's flooring will be $ 5336.1.

<h3>What is a polygon?</h3>

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

A landscape design company is building a large gazebo for a backyard. It is in the shape of the regular polygon shown below, where the measurements are in feet.

A heptagon is given with an apothem of 12.6 ft and a side length of 12.1 ft.

Then the area of the heptagon is given as

Area of heptagon = 7 x area of a triangle

Area of heptagon = 7 x 0.5 x 12.1 x 12.6

Area of heptagon = 533.61 square ft

If the costs $10 per square foot for the special wood the homeowner wants.

Then we have

Total cost = 10 x 533.61

Total cost = $ 5336.1

More about the polygon link is given below.

brainly.com/question/17756657

#SPJ1

4 0
2 years ago
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