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Kazeer [188]
3 years ago
11

use the lowest common denominator to subtract the following fractions. Give the final answer in simplest terms. 5 13/15 - 1 2/3=

Mathematics
1 answer:
Brut [27]3 years ago
3 0

The given expression is

5 \frac{13}{15} -1 \frac{2}{3}

First we write them in improper fraction. That is

= \frac{5*15+13}{15} - \frac{1*3+2}{3}

= \frac{88}{15} - \frac{5}{3}

And the LCD is 15 here.

\frac{88-25}{15} = \frac{63}{15}

Which can be reduced to

= \frac{21}{5} = 4 \frac{1}{5}

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What is the solution to the system of equations 3x + 2y = -10 and y = -x - 4
Mrrafil [7]

Answer:

(-2,-2)

Step-by-step explanation:

6 0
3 years ago
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed
zhuklara [117]

Answer:

For the cost from the two methods to be equal, 3,200 books have to be produced

Step-by-step explanation:

In this question, we are asked to calculate the number of books that will be produced for two methods of production having different fixed and variable costs to have the same production cost.

Since the number of books is something we do not know, let’s represent it with a variable called c.

For the first production method, the cost of production will be ; 58,881 + 8.50c

For the second production method, the cost of production will be; 18,081 + 21.25c

Now since they are said to be equal, we proceed to equate both;

58,881 + 8.5c = 18,081 + 21.25c

58,881-18,081 = 21.25c - 8.5c

40,800 = 12.75c

c = 40,800/12.75

c = 3,200 books

4 0
2 years ago
In a right triangle, angle C measures 40°. The hypotenuse of the triangle is 10 inches long. What is the approximate length of t
zmey [24]

Answer:

the answer is c uwU

Step-by-step explanation:

Here, base is the length of the side adjacent to angle   and hypotenuse is the longest side of the right angle triangle.

6 0
2 years ago
Write the decimal for the expanded form given below.<br><br> 60+7 + 0.3 + 0.05+0.003
svet-max [94.6K]

Answer: 67.353

Step-by-step explanation:

 60.000

+07.000

+00.300           Writing the numbers like this helps me keep track of them!

+00.050        It lets me see what place each number is in relative to the others

+00.003

67.353

5 0
2 years ago
What is the solution to the following system?<br> X+2y+z=9<br> X-y+3z=13<br> 2z=10
Vinvika [58]

Answer:  x = 0; y = 2; z = 5

Step-by-step explanation:

x+2y+z=9

x-y+3z=13

2z=10

==

Start with the last equation:  2z = 10, therefore z = 5 [easy]

Let's rewrite the second equation with 1) z=5, and 2) rearrange to find x:

x-y+3z = 13

x - y +3*5 = 13

x = y-2

Now use the values for x [(y-2)] and y [5] in the first equation:

X+2y+z=9

(y-2) +2y + 5 = 9

3y +3 = 9

3y = 6

y = 2

Now that we have y [2] and z [5], let's use the first equation to solve for x:

x+2y+z=9

x + 4 + 5 = 9

x + 9 = 9

x = 0

====

Try the three values (x=0, y=2, and z=5) in any of the formulas.  The result should/will equal the number shown.

5 0
3 years ago
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