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MakcuM [25]
3 years ago
10

How many US flags can a company make if they have 2500 stars

Mathematics
1 answer:
fredd [130]3 years ago
4 0
Since there are 50 stars, it would be 50 as 2500 divided by 50 is 50
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Solve the following system of equations. Write each of your answers as a fraction reduced to lowest terms. In other words, write
morpeh [17]

Answer:

x = 57/28

y = -95/84

z = 97/168

Step-by-step explanation:

Use the application in the next link: https://www.zweigmedia.com/RealWorld/tutorialsf1/scriptpivotold.html

Start with the expanded array:

\left[\begin{array}{cccc}1&5&8&1\\3&2&2&5\\-2&-7&2&5\\\end{array}\right]

then using the tool provided, make row operations until you find the solution:

r2 = r2-3r1

\left[\begin{array}{cccc}1&5&8&1\\0&-13&-22&2\\-2&-7&2&5\\\end{array}\right]

r3 = r3+2r1

\left[\begin{array}{cccc}1&5&8&1\\0&-13&-22&2\\0&3&18&7\\\end{array}\right]

r2 = r2*(-1/13)

\left[\begin{array}{cccc}1&5&8&1\\0&1&22/13&-2/13\\0&3&18&7\\\end{array}\right]

r1 = r1- r2*5

\left[\begin{array}{cccc}1&0&-6/13&23/13\\0&1&22/13&-2/13\\0&3&18&7\\\end{array}\right]

r3 = r3+ r2*-3

\left[\begin{array}{cccc}1&0&-6/13&23/13\\0&1&22/13&-2/13\\0&0&168/13&97/13\\\end{array}\right]

r3 = r3*13/168

\left[\begin{array}{cccc}1&0&-6/13&23/13\\0&1&22/13&-2/13\\0&0&1&97/168\\\end{array}\right]

r2 = r2- r3*22/13

\left[\begin{array}{cccc}1&0&-6/13&23/13\\0&1&0&-95/84\\0&0&1&97/168\\\end{array}\right]

r2 = r2+ r3*6/13

\left[\begin{array}{cccc}1&0&0&57/28\\0&1&0&-95/84\\0&0&1&97/168\\\end{array}\right]

Here you have a reduced array an therefore the answers to each variable are on each row:

\left[\begin{array}{c}x\\y\\z\end{array}\right]

8 0
3 years ago
Elsa saving money to buy a game so far she had saved $36 which is 3/4 of the total cost of the game how much does the game cost
natita [175]

Answer:

$48

Step-by-step explanation:

To figure out how much the game costs in total, we first need to divide $36 by 3 (3 is the numerator).

36 / 3 = 12

The number 12 is how much each quarter is worth as shown below.

1/4 = 12

2/4 = 24

3/4 = 36

4/4 = ?

To find the answer, all we do is add 12 to 36.

12 + 36 = $48

5 0
3 years ago
Read 2 more answers
In the last six months, Sonia's family used 529, 499, 651, 652, 1,163, and 310 minutes on their cell phone plan. To save money,
Tresset [83]

Answer:

They went over their goal for the last six months by 34 minutes per month.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values in the data-set divided by the size of the data-set.

529, 499, 651, 652, 1,163, and 310 minutes on their cell phone plan.

The mean is:

M = \frac{529+499+651+652+1163+310}{6} = 634

By how many minutes did they go over their goal in the last six months?

The mean was of 634 minutes, and they wanted to keep it below 600. So

634 - 600 = 34

They went over their goal for the last six months by 34 minutes per month.

4 0
3 years ago
Use the drawing tool(s) to form the correct answer on the provided graph. Graph the solution to this system of inequalities in t
Leya [2.2K]

The solution to the system of inequalities is (-3.375, 1.75)

<h3>How to graph the inequalities?</h3>

The system of inequalities is given as:

3y > 2x+12

2x+y < -5

Next, we plot the graph of the system using a graphing tool

From the graph, both inequalities intersect at

(-3.375, 1.75)

Hence, the solution to the system of inequalities is (-3.375, 1.75)

Read more about system of inequalities at:

brainly.com/question/19526736

#SPJ1

8 0
2 years ago
What happens to the volume of a sphere when its diameter is doubled?
slega [8]

with a scale factor

length becomes scale factor * length

area becomes scale factor^2 * area

volume becomes scale factor ^3 * volume

if the diameter is doubled  the scale factor is 2

Volume becomes 2^3 * volume

the volume increases by a factor of 8

6 0
3 years ago
Read 2 more answers
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