11. Use matrices to solve the system of equations below. Be sure to show [A] and [B].

A scale drawing of a field is shown below. The drawing uses a scale of 1 in. = 14 ft. What is the area of the actual field?

svp [43]

Answer:

D. 4,704 ft²

Step-by-step explanation:

Giving a scale of 1 in. = 14 ft, to find the actual area of the field represented by the triangular drawing above, convert the length of the base and height to the actual lengths of the field using the scale.

Height of drawing = 8 in.

Actual height = 8*14 = 112 ft

Base of drawing = 6 in.

Actual base = 6*14 = 84 ft

Area of the field = area of ∆

Area = ½*base*height

Area = ½*84*112

Area = 4,704 ft²

3 0

3 years ago

The following table shows a portion of a four-year amortization schedule. A 4-year amortization schedule. The loan amount or pri

yKpoI14uk [10]

Answer:

Option c. $ 9,543.97

Explanation:

The row for month 25 shows that after twenty-five payments the balance of the loan is $10,356.03

You are told that the loan amount or principal is $ 19,900.

From those two data, you can calculate how much of the principal has been paid off after 25 months, because the amount paid off is equal to the loan less the balance after 25 payments:

Principal paid off = $ 19,900 - $ 10,356.03 = $9,543.97

8 0

3 years ago

There are 50 cupcakes and 160 cookies to be sold at the school bake sale. What is the greatest number of packages of baked items

Sav [38]

The greatest number of packages of baked items that can be sold is 10

Solution:

Given that there are 50 cupcakes and 160 cookies to be sold at the school bake sale

To find: greatest number of packages of baked items that can be sold

Each package has the same number of cupcakes and same number of cookies with none left over

So, we have to find the greatest common factor of 50 and 160

The greatest number that is a factor of two (or more) other numbers.

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.

Greatest common factor of 50 and 160:

The factors of 50 are: 1, 2, 5, 10, 25, 50

The factors of 160 are: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Then the greatest common factor is 10

So the greatest number of packages sold is 10

Each package will contain:

Given that there 50 cupcakes and 160 cookies

Number of cupcakes in 1 package:

$\rightarrow \frac{50}{10} = 5$

Number of cookies in 1 package:

$\rightarrow \frac{160}{10} = 16$

So each package has the same number of cupcakes and same number of cookies with none left over

7 0

4 years ago

PLEASE HELP ME LIKE RN THIS IS 7TH GRADE MATH BTW

natulia [17]

Answer:

for the third one 2/5 for the fourth one 3/5

Step-by-step explanation:

For the first one, I put 10/25 as a fraction and found the least common multiple, which is 5. I then simplified, and got 2/5.

For the second one, I chose 3/5 because there are 3 friends whose names end in a, and 5 friends whose names do not end in a. My theory was that I took the friends and divided them into 2 groups by most common.

hope this helps if it doesn't I will correct myself :)

8 0

3 years ago

Read 2 more answers

The sales tax in one town is 8%. So, the total cost of an item can be written as c+0.08c. What is the total cost of an item that

Nezavi [6.7K]

Try this: 1.08($12) = $12.96 (total cost)

7 0

3 years ago