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tia_tia [17]
3 years ago
12

Solve this system of linear equations. Separate

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
5 0

Answer:

good question

Step-by-step explanation:

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There are three times as many fiction books as non-fiction books in a library. 122 fiction books and 24 non-fiction books are lo
Alexxx [7]

Answer:

176 books

Step-by-step explanation:

Let's call the number of fiction books 'F', and the number of non-fiction books 'N'. Then, we can write the following system of equations:

eq1:

F = 3N

eq2:

2*(F - 122) = (N - 24)

2F - 244 = N - 24

2F = N + 220

Using the 'F' value from the first equation, we have:

6N = N + 220

5N = 220

N = 44\ books

F = 3N = 132\ books

The total number of books is:

F + N = 132 + 44 = 176\ books

5 0
3 years ago
Can you please help me I’ll pay you £100
natima [27]

Answer:

The new points to the triangle will be:

A(-6, 6)\\B(-6, 3)\\C(-8, 3)

Step-by-step explanation:

Because the reflection point is at x = -1, all x values will subtract their distances from x = -1 to get their new values. The y values remain the same.

The starting values are:

A(4,6)\\B(4,3)\\C(6,3)

Point A is 5 units away from x = -1, so we'll subtract 5 from -1 to get the new x value: -1 - 5 = -6, so A(-6, 6).

Point B is also 5 unit away from x = -1, so we'll subtract 5 from -1 to get the new x value: -1 - 5 = -6, so B(-6, 3).

Point C is 7 units away from x = -1, so we'll subtract 7 from -1 to get the new x value: -1 - 7 = -8, so C(-8, 3).

7 0
2 years ago
Read 2 more answers
For every 3/4 cup of cereal, it's 80 calories. How many calories would be in one cup of cereal?
Crank
1 cup of cereal is about 307 calories


8 0
3 years ago
Read 2 more answers
Which of the following is a rational number?<br><br> a)10<br> b)100<br> c)1000<br> d)100000
earnstyle [38]

Answer:

All of the above

Step-by-step explanation:

10, 100, 1000, 100000 all are rational numbers because you can write them as:

10/1 , 100/1, 1000/1, 100000/1

7 0
2 years ago
3x + 2y = 5 5x + 2y = 7 Based on the given system of equations, which of the following is not true? 2x = 2 8x = 12 4y = 4
weqwewe [10]
<h3>Answer:</h3>

8x = 12

<h3>Explanation:</h3>

Subtracting the first equation from the second, you get ...

... (5x +2y) -(3x +2y) = (7) -(5)

... 2x = 2 . . . . . the first answer choice is true

___

Multiplying this expression for x by 4, we get

... 8x = 8 . . . . . the second answer choice (8x=12) is false

___

Adding thee first equation to the second, you get ...

... (3x +2y) +(5x +2y) = (5) +(7)

... 8x +4y = 12

... 8 + 4y = 12 . . . . . . use the value of 8x just computed

... 4y = 4 . . . . . . . . . . subtract 8; the third answer choice is true

_____

<em>Alternate approaches</em>

In short, if you solve the system by any of the methods available, you find x=1 and y=1, so the second answer choice is clearly the correct one:

... 8x ≠ 12

By Cramer's method:

... x = (2·7-2·5)/(2·5-2·3) = 4/4 = 1

... y = (5·5-7·3)/4 = 4/4 = 1

By graphing, see attached.

By substitution (for 2y):

... 5x +(5-3x) =7 . . . . . using 2y=5-3x

... 2x = 2 . . . . . . subtract 5

... x = 1 . . . . . . . .divide by 2

... 5 -3·1 = 2y = 2 . . . . substitute x into the expression for 2y

... y = 1 . . . . . . . divide by 2

By matrix methods, see the second attachment. (x, y) = (1, 1), found in the rightmost column of the result.

6 0
3 years ago
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