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MrRa [10]
1 year ago
11

(a)Find the greatest common factor (GCF) of 45 and 54 .

Mathematics
1 answer:
wlad13 [49]1 year ago
3 0

Answer:he GCF of 54 and 45 is 9. To calculate the GCF of 54 and 45, we need to factor each number (factors of 54 = 1, 2, 3, 6, 9, 18, 27, 54; factors of 45 = 1, 3, 5, 9, 15, 45) and choose the greatest factor that exactly divides both 54 and 45, i.e., 9.

Step-by-step explanation:

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The system of equations below has no solution.
mixer [17]

Answer:

  • Second option: 0 = 26

Explanation:

This is the given system of equations:

\frac{2}{3} x+\frac{5}{2} y=15\\ \\ 4x+15y=12

A linear combination of the system is any equation formed by the algebraic addition of both equations, one or both multiplied by an arbitrary constant.

To prove that the given system has no solution you could multiply the first equation times 6 (to get rid of the fractions), multiply the second equation times - 1, and add the two results:

<u>1. First equation times 6:</u>

6\times\frac{2}{3} x+6\times\frac{5}{2}y=6\times 15\\ \\ 4x+15y=90

<u />

<u>2. Second equation times - 1:</u>

-4x-15y=-12

<u />

<u>3. Add the two new equations:</u>

0=78

<u />

<u>4. Conclusion:</u>

Since 0 = 78 is false, no matter what the value of x and y are, the conclusion is that the system of equations has not solution.

The only choice that represents that same situation is the second one, 0 = 26. That is a possible linear combination that represents that the system of equations has no solutions.

In fact, you might calculate the exact factors by which you had to multiply each one of the original equations to get 0 = 26, but it is not necessary to tell that that option represents a possible linear combination for the given system of equations.

7 0
3 years ago
Read 2 more answers
Can someone please help this is 6th grade made i will give brainliest
Mademuasel [1]

Answer:

wat u need help with

were the question

Step-by-step explanation:

3 0
3 years ago
What factors of 48 are multiples of 4
lorasvet [3.4K]
<span>4, 8, 12, 16, 24, 48</span>
8 0
3 years ago
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Thomas buys 6 souvenirs for his friends and family. Each gift takes up 1/15 of his suitcase. If he has two suitcases, how much r
Gala2k [10]

Answer:

<u>Thomas still has 1 3/5 suitcases available for his own belongings.</u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Number of souvenirs bought by Thomas = 6

Space that each souvenir takes of Thomas suitcase = 1/15

Number of Thomas suitcases = 2

2.  How much room is left for his own belongings in his suitcases?

Let's find out how much space the souvenirs take:

Number of souvenirs * Space that each souvenir takes

6 * 1/15 = 6/15 = 2/5 (Dividing by 3 the numerator and the denominator)

The souvenirs take 2/5 of one suitcase.

Now, we can calculate the room that is left for Thomas' belongings.

2 Suitcases - 2/5 for the souvenirs

2 - 2/5 = 10/5 - 2/5 = 8/5 = 1 3/5

<u>Thomas still has 1 3/5 suitcases available for his own belongings.</u>

6 0
3 years ago
Write the equation of the circle with the given graph.
lara [203]

By identifying the radius and the center, we concluded that the equation is something like:

(x - 2)^2 + (y - 1.5)^2 = 1.8^2

<h3></h3><h3>How to write the equation of the circle?</h3>

For a circle centered on the point (a, b) with a radius R, the equation is:

(x - a)^2 + (y - b)^2 = R^2

So first we need to identify the center, we can see that it is: (2, 1.5)

And the radius is the distance between the center and the edge.

R  = 1.8 (measured with a ruler, respecting the notation of the graph).

Then the equation of the circle is something like:

(x - 2)^2 + (y - 1.5)^2 = 1.8^2

If you want to learn more about circles:

brainly.com/question/1559324

#SPJ1

7 0
2 years ago
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