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ddd [48]
3 years ago
6

Giselle works as a carpenter and as a blacksmith. She earns $ 2 0 $20dollar sign, 20 per hour as a carpenter and $ 2 5 $25dollar

sign, 25 per hour as a blacksmith. Last week, Giselle worked both jobs for a total of 3 0 3030 hours, and earned a total of $ 6 9 0 $690dollar sign, 690. How long did Giselle work as a carpenter last week, and how long did she work as a blacksmith?
Mathematics
2 answers:
drek231 [11]3 years ago
5 0

Answer: Carpenter:12 and Blacksmith: 18

Step-by-step explanation: Checked on khan

dem82 [27]3 years ago
3 0
She worked as a carpenter for 12 hours and as a blacksmith for 18 hours.

Assuming you mean she earned $20 as a carpenter and $25 as a blacksmith per hour, with a total of 30 hours for $690,
let c represent carpenter hours and b for blacksmith hours.

20c + 25b = 690
c + b = 30
Subtract b from each side so that c = 30 - b
Plug this value into the first equation

20(30 - b) + 25b = 690
600 - 20b + 25b = 690
600 + 5b = 690
5b = 90
b = 18

To find c, plug this value of b into the other equation
c + 18 = 30
c = 12


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Correct option is B. Area of rectangle is 24y^{2} - 10 y

We know that area of rectangle = Length × Width

We are given,

Length = 12y - 5

Width = 2y

So, area of rectangle = (12y - 5) × (2y)

=   (12y - 5) × (2y)

=   (12y ×  2y) - (5 × 2y)

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6 0
2 years ago
12 10,9,68,12<br> What is the most appropriate measure of center?
valentina_108 [34]

Answer: The most appropriate measure of center is the median.

Step-by-step explanation:

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  • Mean is the best measure to represent the center of the data but when data have outliers it gets affected badly.
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The given data is 12 10,9,68,12 .

As it can be seen that, the data have extreme value 68 ( called outliers).

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5 0
3 years ago
Suppose a computer manufacturer has the total cost function
S_A_V [24]

Answer:

(a)  P(x) = 300 x - 3600

(b)  P(340) = $ 98400

(c)  At least 12 items must be sold to avoid losing money.

Step-by-step explanation:

Part (a):

The Profit function is the difference between the revenue function (R(x)) and the Cost (C(x)) function:

P(x) = R(x) - C(x)

P(x) = 384 x - [84 x + 3600]

P(x) = 384 x - 84 x - 3600

P(x) = 300 x - 3600

Part (b):

The profit on 340 items is:

P(340) = 300 (340) - 3600

P(340) = 102000 - 3600

P(340) = $ 98400

Part (c):

To avoid losing money, the profit P(x) has to be larger or equal than zero. That is:

P(x) \geq 0

300 x -3600  \geq 0

300 x  \geq 3600

x  \geq 3600/300

x  \geq 12

So at least 12 items must be sold to avoid losing money.

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Step-by-step explanation:

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3 years ago
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Answer:

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3 years ago
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