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uranmaximum [27]
2 years ago
6

Scenario: There are 60 boys and 72 girls in a school. The principal wants to divide the students into gender-specific groups (al

l boys or all girls) of the largest possible size. Each group needs to have the same number of students. What is the correct size of each group?
Mathematics
1 answer:
mr_godi [17]2 years ago
3 0

Answer: Hence, the correct size of boys group is 5 and girls is 6.

Step-by-step explanation:

Since we have given that

Number of boys = 60

Number of girls = 72

We need to divide the students into gender specific groups of the largest possible size.

For this we will find "HCF of 60 and 72" which is equal to "12".

So, the correct size of each group is 12 in which number of boys would be \dfrac{60}{12}=5

Number of girls would be \dfrac{72}{12}=6

Hence, the correct size of boys group is 5 and girls is 6.

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What is the equation of a line that passes through the point?
Artist 52 [7]
<h3>Answer: 3x-2y = 5 (choice A)</h3>

=====================================================

Explanation:

The given graph passes through (0,2) and (2,5)

The slope of this line is

m = (y2 - y1)/(x2 - x1)

m = (5-2)/(2-0)

m = 3/2

Since the y intercept is b = 2, we go from y = mx+b to y = (3/2)x+2, which is the equation of the graphed line shown.

Any parallel line will have the same slope, but a different y intercept.

-------------------

The parallel line must pass through (x,y) = (3,2). We'll use these coordinates along with m = 3/2 to find the y intercept b

y = mx+b

2 = (3/2)(3)+b

2 = 9/2+b

2-9/2 = b

4/2 - 9/2 = b

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b = -5/2 ... is the new y intercept

The equation of the parallel line is y = (3/2)x-5/2, which is in slope intercept form

-------------------

Let's convert to standard form

y = (3/2)x-5/2

2y = 3x-5 .... multiply everything by the LCD 2 to clear out fractions

2y+5 = 3x

3x = 2y+5

3x-2y = 5 ... is the equation in standard form of the parallel line

-------------------

As a check, we can plug (x,y) = (3,2) into that last equation above to get

3x-2y = 5

3*3-2*2 = 5 ... replace x with 3, replace y with 2

9-4 = 5

5 = 5

Confirming that (x,y) = (3,2) is on the line.

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