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Trava [24]
2 years ago
11

Quick I need help on this, please The screenshot below ( Will Mark As Brainlliest )

Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
3 0

Answer:

Rate of change/slope: 35

Miles at 10 hours: 350

Step-by-step explanation:

We can find the rate of change or the slope by using the slope formula below:

m = (y2-y1)/(x2-x1) where m is the slope

To find the slope, we can choose any two points from the table. I will choose (2,70) and (4,140)

m = (140-70)/(4-2)

m = 70/2

m = 35

The rate of change is 35 miles per hour

To find the miles at 10 hours, we can use the equation y = mx + b which is the equation of the line in slope intercept form. However, we will need to find the value of b. To do that, we can plug in any point from the table to find the value of b. I'll choose (2,70).

y = mx + b

70 = 35(2) + b

70 = 70 + b

b = 0

So the equation of the line would be y = 35x. Using this equation, we can find the number of miles at 10 hours:

y = 35(10)

y = 350

The number of miles at 10 hours is 350 miles

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35 pounds of $8.00 tea and 15 pounds of $6.00 tea

Step-by-step explanation:

Let x represent the pounds of tea of the $8 kind. 8x would represent the total cost of that type of tea. We can also say 50 - x is the pounds of tea of the $6 kind, so 6(50 - x) is the total cost of that type of tea. 50 * 7.4 represents the total cost of all the tea, and the expression 8x + 6(50 -x) would also represent the same thing. We can write this as an equation,

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Step-by-step explanation:

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We know that,

\: \: \:  \:  \dashrightarrow \:  \:  \:  \:  \: {\underline{\boxed{\sf{Area \:  of  \: circle = \pi r^2}}}} \\ \\

Substituting the required values,

\\

\: \: \:  \:  \dashrightarrow \:  \:  \:  \:  \: \sf Area_{(circle)} = 3.14 \times  {(9)}^{2}  \\ \\

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\: \: \:  \:  \dashrightarrow { \:  \:  \:  \:  \: \sf Area_{(circle)} = 254.34 \:  {yd}^{2}}  \\  \\

<u>Hence,</u>

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