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2 years ago

Model With Mathematics A photographer is

Mathematics

1 answer:

Damm [24]2 years ago

3 0

Answer:

a. The possible dimensions of the total area are;

The width of the total area is (2·x + 8) inches

The length of the total area is (2·x + 10) inches

b. The dimensions of the photos are as follows;

The length of the photos are 10 inches

The width of the photos are 8 inches

Step-by-step explanation:

a. Given that the area, A = 4·x² + 36·x + 80

We get;

A = 4 × (x² + 9·x + 20) = 4 × (x + 4) × (x + 5) = (2·x + 8)·(2·x + 10)

Therefore, the possible dimensions of the total area (photo + mat) are;

The width of the total area (photo + mat) = (2·x + 8) in.

The length of the total area (photo + mat) = (2·x + 10) in.

b. The dimensions of the photos alone are shorter than the dimensions of the photo and mat combined by 2·x each

Therefore, we have the dimensions of the photos are as follows;

The length of the photo = (2·x + 10) in. - 2·x in. = 10 in.

The width of the photos = (2·x + 8) in. - 2·x in. = 8 in.

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3 years ago

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3 years ago

A bank is offering you an introductory credit card promotion. Your interest for the first year is 8%. But, at the beginning

Art [367]

Answer:

c) $22.50

Explanation:

1. Calculate the monthly interest owed during year 1

Interest for first year: 8%

The monthly rate is the yearly rate divided by 12: 8% / 12 = 0.08/12

The monthly interest owed is the monthly rate times the balance: (0.08/12)×$1,800 = $12.00

2. Calculate the monthly interest owed during year 2

Interest for second year: 23%

The montly rate is the yearly rate divided by 12: 23% / 12 = 0.23/12

The monthly interest owed is the monthly rate times the balance: (0.23/12)×$1,800 = $34.50

3. Calculate the difference

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Hence, the answer is the option c) $22.50

7 0

3 years ago

1/8 divided by 3/4 please help

dlinn [17]

1/8 divided by 3/4 is (1/8) / (3/4). When you divide fractions, you flip the 2nd number and change the divide into multiply. So (1/8)*(4/3). Multiply top by top and bottom by bottom to get 4/24. That simplifies to 1/6

6 0

3 years ago

Read 2 more answers

Is the following statement correct? Explain.

Maksim231197 [3]

Answer: The answer is NO.

Step-by-step explanation: The given statement is -

If the graph of two equations are coincident lines, then that system of equations will have no solution.

We are to check whether the above statement is correct or not.

Any two equations having graphs as coincident lines are of the form -

$ax+by=c,\\\\dax+dby=dc,\\\\\textup{where}~~d\neq 1.$

If we take d = 1, then both the equations will be same.

Now, subtracting the second equation from first, we have

$a(1-d)x+b(1-d)y=c(1-d)\\\\\Rightarrow ax+by=c,~\textup{since}~d\neq 1,~\textup{so}~1-d\neq 0.$

Again, we will get the first equation, which is linear in two unknown variables. So, the system will have infinite number of solutions, which consists of the points lying on the line.

For example, see the attached figure, the graphs of following two equations is drawn and they are coincident. Also, the result is again the same straight line which has infinite number of points on it. These points makes the solution for the following system.

$2x+5y=10,\\\\6x+15y=30.$

Thus, the given statement is not correct.

4 0

3 years ago