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BARSIC [14]
3 years ago
12

The employees in a firm earn $8.50 an hour for the first 40 hours per week, and 1.5 times the hourly rate for any hours worked o

ver 40. How much does an employee who works 52 hours in one week earn?
Mathematics
1 answer:
Leto [7]3 years ago
7 0

Answer:

$493

Step-by-step explanation:

8.50 x 40 = 340

1.5 x 8.5 = 12.75

12 x 12.75 = 153

340+ 153

You might be interested in
One grain of sand approximately weighs 7 * 10^{-5} g. How many grains of sand are there in 6300 kg of sand? Give your answer in
sertanlavr [38]

Answer:

Proportion states that the two ratio or fractions are equal.

Given the statement: One grain of sand approximately weighs 7 * 10^{-5} g.

To find how many grains of sand are there in 6300 kg of sand.

Let x be the number of grains of sand in 6300 kg of sand.

Using conversion :

1 kg = 1000 g

6300 kg = 6300000 g

Then, by using proportion method, we have;

\frac{1}{7\times 10^{-5}}= \frac{x}{6300000}

\frac{10^5}{7} = \frac{x}{6300000}

By cross multiply we get;

6300000 \times 10^5 = 7x

or

63 \times 10^5 \times 10^5 = 7x

63 \times 10^{5+5} = 7x  [using x^a \cdot x^b = x^{a+b}]

63 \times 10^{10} = 7x

Divide both sides by 7 we get;

x = \frac{63 \times 10^{10}}{7} = 9 \times 10^{10}

Standard form is a way of of writing down very large or very small numbers easily.

Therefore, 9 \times 10^{10} grains of sand are there in 6300 kg of sand.






6 0
3 years ago
A square has a perimeter of 380 units. What is the length of the diagonal of the square? Express your answer in simplest radical
prohojiy [21]

Answer:

d≈134.35

P Perimeter

380

Using the formulas

P=4a

d=2a

Solving ford

d=2P

4=2·380

4≈134.35029

Step-by-step explanation:

5 0
3 years ago
The value of $\sqrt{73}$ is between two positive, consecutive integers. What is the product of these two integers?
AnnyKZ [126]

Answer:

Step-by-step explanation:

What are the two closest square numbers to 73?

64 and 81

\sqrt{64} \leq \sqrt{73} \leq  \sqrt{81}\\8\leq \sqrt{73} \leq 9\\8*9 = 72

3 0
3 years ago
As a motorcycle accelerates at 5.1 m/s2, its speed changes from 16 km/h to 118 km/h. How long does this take?
ser-zykov [4K]
<em>Acceleration (a) = 5.1 m/s</em>²
<em>Initial speed (u) = 16 km/h </em>⇒ \frac{16*1000}{3600} <em>m/s </em>≈ <em>4.5m/s</em><em>
</em>
<em>Final speed (v) =118 km/h </em>⇒ \frac{118*1000}{3600} <em>m/s</em> ≈ <em>32.8m/s</em><em>
</em>

Distance(S) travel in that particular instant is carried out by 'Third equation of motion' i.e., v² = u² + 2aS

<em>So, When all quantities are in S.I. unit then,
</em>
putting the values in the equation of motion,

<em /><em>As we have to carry out the distance covered,
</em><em>2</em>·<em>a</em>·<em>S = v</em>² <em>- u</em>²
<em>S = </em>\frac{ v^{2} - u^{2} }{2a}
Putting values in derived equation,
⇒ <em>S = </em>\frac{ (32.8)^{2} - (4.5)^{2} }{2*(5.1)}
⇒ <em>S = </em>\frac{ 1075.84 - 20.25}{10.2}
⇒ <em>S = </em>\frac{1055.59}{10.2}
⇒ <em>S </em>≈ <em>103.489</em> <em>m
</em><em>
The total distance covered in that given condition is approx. 103.289 m.</em>
8 0
3 years ago
Read 2 more answers
The floor of a rectangular cage has a length 4 feet greater than its width, w. James
guajiro [1.7K]

Answer:

x² + 8x + 12

Step-by-step explanation:

Area of a rectangle = length × width

Original dimensions:

Width = x

Length = x + 4

James will increase both dimensions of the floor by 2 feet

New dimensions:

Width = x + 2

Length = x + 4 + 2

= x + 6

Area of the new rectangle = length × width

= (x + 2) × (x + 6)

= x² + 6x + 2x + 12

= x² + 8x + 12

Equation which represents the

new area, N, of the floor of the cage = x² + 8x + 12

3 0
3 years ago
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