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3 years ago

Kori spent $46.20 on 12 gallons of gasoline. What was the price per gallons

Mathematics

2 answers:

Inessa [10]3 years ago

8 0

$46.20 divided by 12= $3.85

Nata [24]3 years ago

4 0

$3.85 per gallon

46.20/12 = 3.85

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Over the summer, Mr. Patel refilled a bird feeder 24 times using 6 cups of seed each time. A bag of seeds holds 32 cups. How man

Illusion [34]

Mr. Patel used 4.5 bags of seed

Solution:

Given that,

Over the summer, Mr. Patel refilled a bird feeder 24 times using 6 cups of seed each time

A bag of seeds holds 32 cups

1 bag of seed = 32 cups

Given that Patel refilled 24 times using 6 cups of seed each time

Then, the number of cups used for the 24 times is given as:

$6 \times 24 = 144$

Now we have to find the bags of seed needed for 144 cups

Let "x" be the number of bags of seed for 144 cups

From given,

1 bag of seed = 32 cups

"x" bags of seed = 144 cups

This forms a proportion and we can solve it by cross multiplying

$144 \times 1 = 32 \times x\\\\144 = 32x\\\\x = \frac{144}{32}\\\\x = 4.5$

Thus 4.5 bags of seed is used by Mr.patel

5 0

3 years ago

. The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to nd

Blababa [14]

The question is:

The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find a second solution y2(x) of the homogeneous equation

x²y'' - 7xy' + 16y = 0; y1 = x^4

Answer:

The second solution y2 is

A(x^4)lnx

Step-by-step explanation:

Given the homogeneous differential equation

x²y'' - 7xy' + 16y = 0

And a solution: y1 = x^4

We need to find a second solution y2 using the method of reduction of order.

Let y2 = uy1

=> y2 = ux^4

Since y2 is also a solution to the differential equation, it also satisfies it.

Differentiate y2 twice in succession with respect to x, to obtain y2' and y2'' and substitute the resulting values into the original differential equation.

y2' = u'. x^4 + u. 4x³

y2'' = u''. x^4 + u'. 4x³ + u'. 4x³ + u. 12x²

= u''. x^4 + u'. 8x³ + u. 12x²

Now, using these values in the original equation,

x²(u''. x^4 + u'. 8x³ + u. 12x²) - 7x(u'. x^4 + u. 4x³)+ 16(ux^4) = 0

x^6u'' + 8x^5u' + 12x^4u - 7x^5u' - 28x^4u + 16x^4u = 0

x^6u'' + x^5u' = 0

xu'' = -u'

Let w = u'

Then w' = u''

xw' = -w

w'/w = -1/x

Integrating both sides

lnw = -lnx + C

w = Ae^(-lnx) (where A = e^C)

w = A/x

But w = u'

So,

u' = A/x

Integrating this

u = Alnx

Since

y2 = uy1

We have

y2 = (Alnx)x^4 = (Ax^4)lnx

Therefore, the second solution y2 is

A(x^4)lnx

6 0

3 years ago

The graph of 3x + 4x = -1 is shown on the grid. Which ordered pair is in the solution set of 3x + 4y ≤ -1?

Angelina_Jolie [31]

ANSWER

C(2,-6)

EXPLANATION

The solution set to given inequality is the shaded region.

The points are also located in the graph above.

The only point that falls in the solution region is C(2,-6)

The ordered pair that is in the solution set is C(2,-6)

The third option is correct.

8 0

3 years ago

Write 3/4 as a decimal number

sasho [114]

Answer: 0.75. It's pretty obvious.

3 0

3 years ago

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The coordinates of the point A are (3,−10) and the coordinates of point B are (3,−6). What is the distance, in units, between th

TiliK225 [7]

Answer:

squareroot 54

Step-by-step explanation:

8 0

2 years ago