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Serhud [2]
3 years ago
15

Line k has a slope of 2/3. If line m is parallel to line k, then it has a slope of

Mathematics
1 answer:
dalvyx [7]3 years ago
5 0
<span>If line m is parallel to line k, then it has a slope of C)2/3</span>
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1.The population of the world is approximately 6200 million people. It is increasing by approximately 93 million people each yea
STALIN [3.7K]
The fraction can simplify down to \frac{93}{6200} convert it to a fraction and the yearly increase is 1.5%

2. Well on average there are 365 days in a year. Dividing 93 million by 365 will get your increase per day. 
There are 24 hours in a day, so that figure is further divided by 24.
There are also 60 minutes in an hour therefore furthermore divided by 60.
= 176 therefore true
8 0
3 years ago
At the county fair, Darius can purchase 3 candy apples and 4 bags of peanuts for $11.33. He can purchase 9 candy apples and 5 ba
Ksenya-84 [330]
Let c represents the cost of a candy apple and b represents the cost of a bag of peanuts.

Darius can purchase 3 candy apples and 4 bags of peanuts. So his total cost would be 3c + 4b. Darius can buy 3 candy apples and 4 bags of peanuts in $11.33,so we can write the equation as: 

3c + 4b = 11.33   (1)

Darius can purchase 9 candy apples and 5 bags of peanuts. So his total cost would be 9c + 5b. Darius can buy 9 candy apples and 5 bags of peanuts in $23.56,so we can write the equation as: 

9c + 5b = 23.56   (2)

<span>Darius decides to purchase 2 candy apples and 3 bags of peanuts. The total cost in this case will be 2c + 3b. To find this first we need to find the cost of each candy apple and bag of peanuts by solving the above two equations.

Multiplying equation 1 by three and subtracting equation 2 from it, we get:

3(3c + 4b) - (9c + 5b) = 3(11.33) - 23.56

9c + 12b - 9c - 5b = 10.43

7b = 10.43

b = $1.49

Using the value of b in equation 1, we get:

3c + 4(1.49) = 11.33

3c = 5.37

c = $ 1.79

Thus, cost of one candy apple is $1.79 and cost of one bag of peanuts is $1.49.

So, 2c + 3b = 2(1.79) + 3(1.49) = $ 8.05

Therefore, Darius can buy 2 candy apples and 3 bags of peanuts in $8.05</span>
3 0
3 years ago
brent went for a bycile ride the clocks shows the start time and the end time how long did he ride his bycile the start time is
ozzi
The answer is 40 minutes
6 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.

7 0
2 years ago
A nut store normally sells cashews for​ $4.00 per pound and peanuts for​ $1.50 per pound. But at the end of the month the peanut
Dvinal [7]

Answer: 40 pounds of cashews should be mixed with the peanuts to ensure no change in the​ revenue

Step-by-step explanation:

Let x represent the number of pounds of cashews that should be mixed with the peanuts to ensure no change in the​ revenue.

The nut store normally sells cashews for​ $4.00 per pound and peanuts for​ $1.50 per pound.

In order to sell 60 pounds of​ peanuts, the manager decided to mix the 60 pounds of peanuts with some cashews and sell the mixture for $2.50 per pound. It means that

4x + (1.5 × 60) = 2.5(60 + x)

4x + 90 = 150 + 2.5x

4x - 2.5x = 150 - 90

1.5x = 60

x = 60/1.5

x = 40

5 0
3 years ago
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