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Mathematics

1 answer:

adoni [48]3 years ago

8 0

As the temperature increases, hot chocolate sales increase.

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Daniel bought four bags of potatoes. The weight of the first bag was 2.6 pounds. The second bag weighed 0.4 pound less than twic

ipn [44]

Answer:

Average weight of the bags of potatoes is 3.8 pounds.

Step-by-step explanation:

Given:

Weight of the first bag, $W_{1}=2.6$ pounds.

Weight of the second bag is 0.4 pounds less than twice the weight of first bag. This means,

$W_{2}=2W_{1}-0.4=2(2.6)-0.4=5.2-0.4=4.8\textrm{ pounds}$

Weight of the third bag is 0.6 pounds more than that of the first bag. This means,

$W_{3}=W_{1}+0.6=2.6+0.6=3.2\textrm{ pounds}$

Weight of the fourth bag is 0.3 pounds less than that of the second bag. This means,

$W_{4}=W_{2}-0.3=4.8-0.3=4.5\textrm{ pounds}$

Therefore, the average weight of the bags of potatoes is given as the sum of all the weights and then divide the sum by 4. Therefore,

$W_{average}=\frac{W_{1}+W_{2}+W_{3}+W_{4}}{4}=\frac{2.6+4.8+3.2+4.5}{2}=\frac{15.1}{4}=3.775\approx 3.8$

Therefore, average weight of the bags of potatoes is 3.8 pounds.

8 0

3 years ago

A passenger rode the subway 2 blocks west and then 10 south. If all the blocks are the same length what is the value of the slop

Nimfa-mama [501]

Answer:

The slope of the line is 5

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

I have created an illustration which is attached below in order to help you understand the situation. As we are told the passenger rode the subway from point (0 , 0) to point (-2, 0). Then he rode the subway from point (-2, 0) to the final destination of point (-2 , -10). In order to find the value of the slope we need to use the slope formula which is

$Slope = \frac{y_{2}-y_{1} }{x_{2}- x_{1} }$