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Sidana [21]
1 year ago
10

Mrs. Jackson earned a $500 bonus for signing a one-year contract to work as a nurse. Her salary is $22 per hour. If her first we

ek’s check including the bonus is $1,204, how many hours did Mrs. Jackson work
Mathematics
1 answer:
bagirrra123 [75]1 year ago
3 0

Answer:

32 hours

Step-by-step explanation:

First setup an equation

500 + 22x = 1204 the x represents how many hours she worked an that  is what we want to know. So to find out x you do this......

22x + 500 = 1204

1204-500= 704

704/22 = 32

So, X = 32 hours

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ben needs to convert 500 US dollars to the japanese yen. one american dollar is worth 123.3 yen. how many yen will he have
laiz [17]

Answer:

<u>The correct answer is 61,650 Yens</u>

Step-by-step explanation:

US$ in cash that Ben has = 500

Exchange rate (US$/Yen) = 1 : 123.3

For calculating the total amount in Yens that Ben has, we use this formula:

Yens in Cash = US$ in Cash * Exchange rate given

Yens in Cash = 500 * 123.3

Yens in Cash = 61,650

<u>After converting the US$ 500 Ben has, he will receive Yens 61,650</u>

6 0
2 years ago
Simon has a certain length of fencing to enclose a rectangular area. The function A models the rectangle's area (in square meter
ss7ja [257]

Answer:

The maximum area is 1,600 square meters

Step-by-step explanation:

<u><em>The complete question is</em></u>

What is the maximum area possible?

The given function area is modeled by A(w)=-w(w-80)

we know that

The given function is a vertical parabola open downward

The vertex is a maximum

The x-coordinate of the vertex represent the width for the maximum area

The y-coordinate of the vertex represent the maximum area

Convert the quadratic function in vertex form

A(w)=-w(w-80)\\\\A(w)=-w^{2}+80w

Factor -1

A(w)=-(w^{2}-80w)

Complete the square

A(w)=-(w^{2}-80w+1,600)+1,600

Rewrite as perfect squares

A(w)=-(w-40)^{2}+1,600 ----> function in vertex form

The vertex is the point (40,1,600)

therefore

The maximum area is 1,600 square meters

8 0
2 years ago
Read 2 more answers
Daisy is making solid spikes for her Halloween costume. The spikes are shaped like right circular cones with base radius of 222
Harlamova29_29 [7]
Please answer please please thank you
7 0
2 years ago
On Friday, Kelsey went to a local carnival. She bought a pretzel for $5 and played three games. On Saturday, Kelsey went back to
lara31 [8.8K]
Set the question up as an equation, where x is equal to the cost of a game
FRIDAY: 5+3x
SATURDAY: 3+5x

∴ 5+3x=3+5x
   2=2x
   x=1
Therefore the cost of 1 game is $1

4 0
2 years ago
Read 2 more answers
A thin sheet of ice is in the form of a circle. If the ice is melting in such a way that the area of the sheet is decreasing at
elena-14-01-66 [18.8K]

Answer:

dx/dt  =  0,04 m/sec

Step-by-step explanation:

Area of the circle is:

A(c) =π*x²      where   x is a radius of the circle

Applying differentiation in relation to time we get:

dA(c)/dt   =  π*2*x* dx/dt    

In this equation we know:

dA(c)/dt  = 0,5 m²/sec

And are looking for dx/dt then

0,5  = 2*π*x*dx/dt    when the area of the sheet is 12 m²  (1)

When  A(c) = 12 m²      x = ??

A(c)  =  12  =  π*x²      ⇒    12  =  3.14* x²    ⇒  12/3.14  =  x²

x²  = 3,82     ⇒   x  = √3,82    ⇒  x = 1,954 m

Finally plugging ths value in equation (1)

0,5  = 6,28*1,954*dx/dt

dx/dt  =  0,5 /12.28

dx/dt  =  0,04 m/sec

7 0
2 years ago
Read 2 more answers
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