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DochEvi [55]
3 years ago
15

2. Point P is shown on the number line below. The distance between point Q and point P is 6 & 1/2 units. Which number could

represent the location of point Q? *
Mathematics
1 answer:
leva [86]3 years ago
8 0

Complete question :

Point P is shown on the number line below. The distance between point Q and point P is 6 1/2 units. Which number could represent point Q?

A) -9 1/2

B) 1 1/2

C) 2 1/2

D) 10 1/2

Answer:

1 1/2

Step-by-step explanation:

To obtain the possible position of point Q:

Add or subtract the distance between the points to the position of point P on the number line ;

Point P is located at - 5

Therefore, point Q will be located at :

Either :

Point P + 6 1/2 = - 5 + 6.5 = 1 1/2

Point P - 6 1/2 = - 5 - 6.5 = - 11 1/2

From the option ;

Q = 1 1/2

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The <em>correct answer</em> is:

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Explanation:

To find the number of bouquets we can make, we find the GCF (greatest common factor) of the three numbers, 72, 60 and 48. To do this, we find the prime factorization of each:

72=6\times 12 \\6=2\times 3 \\12=4\times 3 \\4=2\times 2 \\72=2\times2\times2\times3\times3 \\ \\60=6\times 10 \\6=2\times 3 \\10=2\times 5 \\60=2\times2\times3\times5 \\ \\48=12\times4 \\12=4\times3 \\4=2\times 2 \\4=2\times 2 \\48=2\times2\times2\times2\times3

We look for factors that all 3 numbers have in common. These factors are 2, 2 and 3; 2(2)(3)=12, so we can make 12 bouquets.

72/12 = 6; this means we use 6 red roses in each bouquet.

60/12 = 5; this means we use 5 pink roses in each bouquet.

48/12 = 4; this means we use 4 yellow roses in each bouquet.

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