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valkas [14]
2 years ago
11

4. Mario was asked to find the GCF of 15, 30, and 45. What number did he find? A. 15 C. 45 B. 30 D. 60

Mathematics
2 answers:
SVETLANKA909090 [29]2 years ago
7 0
4. is A 15
5. is C 12
6. is B 4, 8, 12, 16

hope this helps :)
coldgirl [10]2 years ago
6 0

Step-by-step explanation:

4.

GCF : greatest common factor, the biggest number all these numbers can be divided by without remainder.

so, 15, 30 and 45

let's find the basic factors of each

15/2 no

15/3 = 5

5/3 no

5/4 no

5/5 = 1

therefore, 3¹×5¹

30/2 = 15

15/3 = 5

5/3 no

5/4 no

5/5 = 1

therefore, 2¹×3¹×5¹

45/2 no

45/3 = 15

15/3 = 5

5/3 no

5/4 no

5/5 = 1

therefore, 3²×5¹

the largest combination of factors they all have is 3¹×5¹ = 15

so, the GCF = 15.

5.

since I don't know how many pupils there are this is a strange question.

or does this text mean there are 5 pupils ?

overall, there is something wrong with this question.

so, let's answer based on some assumptions :

the GCF (as in 4.) is 12

12×3 = 36

12×4 = 48

12×5 = 60

so, if there are 12 students, each one gets 5 notebooks, 4 ball pens and 3 correction tapes.

if there are 5 students, then each one gets 60/5 = 12 notebooks, 48/5 = 9 (3 remainder) ball pens and 36/5 = 7 (1 remainder) correction tapes.

6.

multiples of 4, that means 4*x with x = 1, 2, 3, 4, ...

so

4×1 = 4

4×2 = 8

4×3 = 12

4×4 = 16

therefore, B is the right answer.

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kati45 [8]

Answer:

y=\frac{1}{2}x-6

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

<u>1) Determine the slope (m)</u>

m=\frac{y_2-y_1}{x_2-x_1} where two points that fall on the line are (x_1,y_1) and (x_2,y_2)

Plug in the given points (2,-5) and (8,-2)

m=\frac{y_2-y_1}{x_2-x_1}\\=\frac{-2-(-5)}{8-2}\\=\frac{-2+5}{8-2}\\=\frac{3}{6}\\=\frac{1}{2}

Therefore, the slope of the line is \frac{1}{2}. Plug this into y=mx+b:

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<u>2) Determine the y-intercept (b)</u>

y=\frac{1}{2}x+b

Plug in one of the given points and solve for b

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Subtract 1 from both sides to isolate b

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Therefore, the y-intercept of the line is -6. Plug this back into y=\frac{1}{2}x+b:

y=\frac{1}{2}x+(-6)\\y=\frac{1}{2}x-6

I hope this helps!

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Step-by-step explanation:

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