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2 years ago

PLEASE HELP!!! 100 points (make sure to show work and be correct)

Mathematics

2 answers:

myrzilka [38]2 years ago

6 0

Answer:

1. B (15,100) & E (18,120)

2. A (3,9)

Step-by-step explanation:

Equation:

y = mx + c

m = (80-20)/(12-3) = 60/9 = 20/3

c = 0

y = 20x/3

(15,100)

100 = 20(15)/2

100 = 100

(18,120)

120 = (20×18)/2

120 = 120

y = 3x

Where y is the amount and x is the no. of bracelet

This is a proportional relationship

From the options, only A satisfies the relationship

tresset_1 [31]2 years ago

5 0

Answer:

1. B and E

2. B

Step-by-step explanation:

1. Looking at the line, let's try to establish a relationship between x and y. Take one point (12, 80) and divide y by x:

80 / 12 = 20 / 3

Similarly, if we take (3, 20), we get the same relationship:

20 / 3 = 20 / 3

That means we need to select an ordered pair that follows this relationship:

A. (14, 100) ⇒ 100 / 14 = 50 / 7 --- wrong

B. (15, 100) ⇒ 100 / 15 = 20 / 3 --- correct

C. (16, 100) ⇒ 100 / 16 = 25 / 4 --- wrong

D. (16, 120) ⇒ 120 / 16 = 15 / 2 --- wrong

E. (18, 120) ⇒ 120 / 18 = 20 / 3 --- correct

The possible answers are B and E.

2. Let's say Maya sells b bracelets. That means that she makes 3 * b = 3b dollars for these b bracelets. Look at the answer choices to see which one will have 3 in the x-coordinate and a multiple of 3 in the y-coordinate:

A. (3, 5) ⇒ 5 isn't a multiple of 3, so wrong.

B. (3, 9) ⇒ 3 is the x-coordinate and 9 = 3 * 3, so this is correct.

C. (3, 7) ⇒ 7 isn't a multiple of 3, so wrong.

D. (2, 3) ⇒ 3 isn't even the x-coordinate, so wrong.

The correct answer is thus B.

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A florist has 30 carnations and 42 roses. He wants to put the flowers in vases so that each vase has the same number of flowers

Nesterboy [21]

Note that

30=2·3·5;
42=2·3·7.

Find the grearest common factor GCF(30,42). You can see that numbers 30 and 42 have common factors 2 and 3, then

$GCF(30,42)=2\cdot 3=6.$

This gives that the greatest number of identical vases florist can fill is 6. Each vase will contain

$30:6=5$ carnations;
$42:6=7$ roses.

Therefore, in each vase will be 12 flowers (5 carnations and 7 roses).

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3 years ago

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OleMash [197]

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2 years ago

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Aleksandr-060686 [28]

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