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3 years ago

5

lewis has a bucket with a 5-gallon capacity. lewis puts 12 pints of soapy water in the bucket to wash his car. How many gallons

soapy water are in Lewis's bucket ?

1 answer:

lilavasa [31]3 years ago

6 0

There are 8 pints in a gallon so 12 / 8 = 1.5 gallons

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Mark played video games for 1 hour. The circle graph shows the different types of video games he played. Based on the graph, abo

Komok [63]

The complete question in the attached figure

<span>observing the graph we can say that the racing game is approximately 25% of the total
</span>so
if 1 hour is ----------------------> 100%
X-----------------------------25%
x=25/100------> 1/4=0.25 hours
convert to minutes
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the answer is 15 minutes

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3 years ago

What is (a+b)^2? Thanks.

Anna007 [38]

Answer:

a² + 2ab + b²

Step-by-step explanation:

(a + b)² = (a + b)(a + b)

multiply each term in the second factor by each term in the first factor

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3 years ago

Find the point P on the line yequals4x that is closest to the point (51 comma 0 ). What is the least distance between P and (51

galina1969 [7]

Answer:

Step-by-step explanation:

Use the distance formula D = √[ (x - x0)² + (y - y0)² ], using (x0, y0): (51, 0). Replace 'y' with '4x':

D = √[ (x - 51)² + (4x - 0)² ], or (after simplification)

D = √[ x² - 102x + 2601) + 16x² ], or D = √[ 17x² - 102x + 2601 ].

This is the objective function in terms of one variable (x).

You don't specify the method to be used. The main method choices you have are (1) calculus and (2) algebra.

We want the x value at which this distance D is a minimum. We can find that x value by finding the minimum of 17x² - 102x + 2601), whose graph is that of a parabola with minimum at x = -b/(2a). Here, that x is x = 102/(34), or x = 3.

We conclude that the distance between the given point and the given line is a minimum when x = 3.

That distance is D = √[17x² - 102x + 2601], evaluated at x = 3:

√[ 17(9) - 102(3) + 2601 ] = 49.5 approximately

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324.24/27 is the answer

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4 years ago

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