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Alex777 [14]
2 years ago
8

Ozzie is starting his own part time business. He plans to earn $20 per hour. He has the following expenses each month, $500 for

overhead, $120 for phone and fax and $25 for materials. a. Write an equality that describes the number of hours h he must work to earn a profit of $555. b. How many hours should he have worked to earn a profit of at least $555?
Mathematics
2 answers:
CaHeK987 [17]2 years ago
7 0
To get $555 he would have to work 27.75 hours or round it up to 28 hours but to get enough money for ALL his expenses he would need to work 32.25 hours or round it up to 33
telo118 [61]2 years ago
5 0

Answer:

a. 20h - 645 = 555

b. Ozzie will work more than equal to 60 hours.

Step-by-step explanation:

Ozzie plans to earn $20 per hour.

Expenses of Ozzie (per month)

Overhead = $500

Fax and phones = $120

Materials = $25

Total expenses per month = (500 + 120 + 25) = $645

a. Let Ozzie works h hours to earn a profit of $555.

monthly earning = 20h

equality for the profit will be

20h- (total monthly expenses) = 555

20h - 645 = 555

b. To get the profit of $555 at least, numbers of hours Ozzie will work will be represented by the term

20h - 645 ≥ 555

20h ≥ 555 + 645

20h ≥ 1200

h ≥ \frac{1200}{20}

h ≥ 60

Ozzie should work more than 60 hours to earn profit at least  $555.

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G(h)    h
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Equation of the line:

slope = [12-0]/[3-9] = 12 / -6 = -2

g / [h - 9] = -2

g = -2(h-9)

g = -2h + 18

g = 18 -2h

Filling the tank ==> h = 0

g = 18 - 2(0) = 18

Answer: first option g = 18 -2 h; 18
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2 years ago
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If a cow has a mass of 9×102 kilograms, and a blue whale has a mass of 1.8×105 kilograms, which of these statements is true?
lana66690 [7]

Answer:

The mass of the Blue whale is 200 times the mass of the cow

Step-by-step explanation:

Given

Mass of Cow = 9 * 10² kg

Mass of Blue Whale = 1.8 * 10⁵ kg

Required

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B = 1.8 * 10^5kg

B = 1.8 * 100000kg

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Divide the bigger weight by the smaller weight

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Multiply both sides by C

C * \frac{B}{C} = {200}{} * C

B = {200}{} * C

B = 200}C

<em>From the expression above, it can be concluded that the mass of the Blue whale is 200 times the mass of the cow</em>

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The math club decided to have a car wash to raise money for competition expenses The graph below shows the relationship between
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Answer:

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Step-by-step explanation:

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Consider the coordinate plane:

1. The origin is the point where Sharon and Jacob started - (0,0).

2. North - positive y-direction, south - negetive y-direction.

3. East - positive x-direction, west - negative x-direction.

Then,

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The distance between two points with coordinates (x_1,y_1) and (x_2,y_2) can be calculated using formula

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

Therefore, the distance between  Jacob and Sharon is

D=\sqrt{(12-(-4))^2+(-5-3)^2}=\sqrt{16^2+8^2}=\sqrt{256+64}=\sqrt{320}=8\sqrt{5}\approx 11.18\ m.

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2 years ago
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