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2 years ago

A.P.E.X Algebra 1 Sem 2

Mathematics

1 answer:

murzikaleks [220]2 years ago

3 0

Answer:

Data Set C

Step-by-step explanation:

You can see that the data is best fit and better looking and fitting to the line in the data set C.

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Which inequality has an arrow pointing to the left when the solution set is graphed on a number line?

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3 years ago

What is the percent of discount on a $37.50<br> dress on sale for $26.25?

tankabanditka [31]

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Step-by-step explanation:

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3 years ago

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Use the slope formula to find the slope of the line passing through the given points.

irina1246 [14]

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3 years ago

What are the coordinates of the midpoint?

xz_007 [3.2K]

Answer:

Midpoint (4|7)

Step-by-step explanation:

A(2,6) and B(6,8)

at first add the x values and divide it by two

(2+6)/2=4

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2 years ago

A large truck has two fuel tanks, each with a capacity of 150 gallons. Tank 1 is half full, and Tank 2 is empty.

12345 [234]

Answer:

1) $G(t) = 75 + \frac{23}{4}t\\$

2) After 8 minutes delivering fuel the tanks will have 121 gallons of fuel

Step-by-step explanation:

1) For generating the equation we have to take into account that in the tanks there is a initial volume of fuel that corresponds to 75 gallons, as it is stated that tank one is half full. As the capacity for tank 1 is of 150 gallons, half of the tank equals to:

$\frac{150}{2} = 75 gallons$

Now we have to convert the rate of delivery that is expressed as a mixed number to an improper fraction so:

$5\frac{3}{4} = \frac{(5x4)+3}{4} = \frac{23}{4}$

Then the pumping rate is of 23/4 gallons per minute, to get how many gallons are in the tank we just need to multiply this rate by the time in minutes, and as there is an initial volume we have to add it, so we have the following equation:

$G(t) = 75 + \frac{23}{4}t\\$

2) To know how much fuel is in the tank after 8 minutes we have to replace this time in the previous equation so we have

$G(t) = 75 + \frac{23}{4}t\\G(8) = 75 + \frac{23}{4}(8)\\G(8) = 75 + 23(2)\\G(8) = 75 + 46\\G(8) = 121 gallons$

After 8 minutes delivering fuel the tanks will have 121 gallons of fuel

8 0

3 years ago