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3 years ago

6

A small company’s net income for the first six months of the year was $76,500 and for the last six months it was $100,000. What

is the ratio of the first six months of the year and to the last six months of the year in simplest form?

1 answer:

mr Goodwill [35]3 years ago

8 0

Answer:153/200

Step-by-step explanation:

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How to find x in a quadrilateral

evablogger [386]

X = 360 - (122+58+58)
x = 360 - 238
x = 122

6 0

3 years ago

Will give BRAINLEST :)

DiKsa [7]

Answer:

A

Step-by-step explanation:

This explanation mostly depends on what you're learning right now. The first way would be to convert this matrix to a system of equations like this.

g + t + k = 90

g + 2t - k = 55

-g - t + 3k = 30

Then you solve using normal methods of substitution or elimination. It seems to me that elimination is the quickest method.

g + t + k = 90

-g - t + 3k = 30

____________

0 + 0 + 4k = 120

4k = 120

k = 30

No you can plug this into the first two equations

g + t + (30) = 90

g + t = 60

and

g + 2t - (30) = 55

g + 2t = 85

now use elimination again by multiplying the first equation by -1

g + 2t = 85

-g - t = -60

_________

0 + t = 25

t = 25

Now plug those both back into one of the equations. I'll just do the first one.

g + (25) + (30) = 90

g = 35

Therefore, we know that Ted spent the least amount of time on the computer.

The second method is using matrix reduction and getting the matrix in the row echelon form, therefore solving using the gauss jordan method. If you would like me to go through this instead, please leave a comment.

3 0

3 years ago

Travis has a budget of $300 that he can spend on perennial flowers and at least 6 annual flowers. Perennial flowers are 18 dolla

boyakko [2]

Answer:

18x + 15y ≤ 300
x ≥ 0; y ≥ 6

Step-by-step explanation:

Variables are defined in the problem statement.

18x +15y ≤ 300 . . . . total budget

y ≥ 6 . . . . . . . . . . . . minimum number of annuals

x ≥ 0 . . . . . number of perennials cannot be negative

This system of inequalities describes the situation.

6 0

3 years ago

jared is painting a wall in his living room that is 20 feet high and 18 feet long there are 3 windows on the wall each window is

SSSSS [86.1K]

20 high x 18 long = 360 square feet

3 windows x (4 high x 3 long) = 3 windows x 12 square feet = 36 square feet

360 - 36 (because we obviously don't paint windows) = 324

324 square feet to paint on one wall

3 0

4 years ago

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:y >

pantera1 [17]

Answer:

Part A: The graph of given inequality is shown below.

Part B: The point (4,6) is not a solution of given system of inequalities.

Step-by-step explanation:

Part A:

The given inequalities are

$y>2x+3$

$y$

The related equation of given inequalities are

$y=2x+3$

$y=-\frac{3}{2}x-4$

Put x=0, to find the y-intercepts.

$y=2(0)+3=3$

$y=-\frac{3}{2}(0)-4=-4$

Put y=0, to find the x-intercepts.

$0=2x+3\Rightarrow x=-\frac{3}{2}$

$0=-\frac{3}{2}x-4\Rightarrow x=-\frac{8}{3}$

The x and y-intercepts of first line are (0,3) and (-1.5,0) respectively. The x and y-intercepts of second line are (0,-4) and (-2.667,0) respectively.

Check the given inequality by (0,0).

$0>2(0)+3$

$0>3$

This statement is false. It means (0,0) is not the solution of this inequality and the shaded region is opposite side of the origin.

$0$

$0$

This statement is false. It means (0,0) is not the solution of this inequality and the shaded region is opposite side of the origin.

The graph of given inequalities is shown below.

Part B:

We have to check whether (4,6) is a solution of the system of inequality or not.

Check the given inequality for the point (4,6).

$(6)>2(4)+3$

$6>11$

This statement is false. It means (4,6) is not the solution of given system of inequalities.

3 0

3 years ago

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