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melomori [17]
3 years ago
13

the numbers of blue and green beads Emily uses to make five different pieces of jewelry are recorded below which of the followin

g equation relates the number of green beads,g, to the number to blue beads,b?​

Mathematics
1 answer:
alexgriva [62]3 years ago
6 0

Answer:

3rd option: g=\frac{7}{4}b

Step-by-step explanation:

According to the given table for every 4 blue beads there are 7 green beads. So the ratio between the blue beads and green beads is 4:7

i.e.

Blue:Green=4:7\\\\ b:g=4:7

Converting the ratios to fractions, we get:

\frac{b}{g}=\frac{4}{7}

Cross multiplying, we get:

7b=4g

Dividing both sides by 4, we get:

\frac{7}{4}b=g\\\\  or\\\\ g=\frac{7}{4}b

Hence, the 3rd option correctly related the number of green beads to the number of blue beads.

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Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosin
Andre45 [30]

Answer:

1. Arithmetic: Add 3,500

The annual raise of 3,500 means add 3,500 to the previous year's salary

60,000 + 3,500 = 63,500

63,500 + 3,500 =  67,000

67,000 + 3,500 = 70,500

70,500 + 3,500 = 74,000

74,000 + 3,500 = 77,500

Geometric: Multiply by 1.05

The annual raise by 5% of his current salary means multiply by 1.05.

60,000 x 1.05 = 63,000

63,000 x 1.05 = 66,150

66,150 x 1.05 = 69,457.50

69,457.50 x 1.05 = 72,930.38 rounded

72,930.375 x 1.05 = 76,576.89

The first sequence is arithmetic because we add the same number (3,500) to the preceding term. The second sequence is geometric because we multiply the preceding term by the same number always (1.05.)

2a. Arithmetic - New salary is $3,500 greater each year than last year's salary

S = 60,000 + 3500(n-1)

Geometric - New salary is 5% more each year than last year's salary

60,000 + (1.05)^(n-1)

2b. Arithmetic Earnings over 3 years

60,000 + 63,500 + 67,000 = 190,500

Geometric Earnings over 3 years

60,000 + 63,000 + 66,150 = 189,150

There is a 1,000 dollar difference. In this case, the arithmetic increase of 3,500 dollars would be better for Mr. Nicholson. 1,000 dollars may or may not be considered a big difference. In my opinion, I'd say there is a slight difference between the two

3.Arithmetic

a(9) = 3,500 + a(9-1)

a(9) = 3,500 + 89,000

a(9) = 92,500

Geometric

a(9) = 1.05 x a(9-1)

a(9) = 1.05 x 84,425.90

a(9) = 88,647.20

4. In this case, both the 3 year and 9 year time frames favor the arithmetic increase of $3,500. At 3 years, he would have 190,500 compared to the geometric salary of 189,150. However, this is a small difference. If he is going to be at the company for 9 years, then definitely he should choose the first opportunity. 92,500 is significantly more money than 88,647.20. So, longer time frames only make the first opportunity, which is better to begin with, shine even more.

Step-by-step explanation:

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A biology class examined some flowers in a local meadow. The students saw 88 perennial
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88%

Step-by-step explanation:

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By which integer 20 must be divided to get the quotient -20?
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Answer:

-1

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Database about trees include a height field. What kind of sort would list the data from tallest to shortest?
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Correct answer : 2) descending sort
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Right triangle XYZ is shown. Y (2,6) (1, 2) 6 х 7 Z Rounded to the nearest hundredth of a unit, what is the length of the hypote
Dmitriy789 [7]

Answer:

8.12

Step-by-step explanation:

We obtain the distance between x and y

d = sqrt[(x2 - x1)² + (y2 - y1)²]

d = sqrt[(1 - 2)² + (2 - 6)²]

d = sqrt[1 + 16)

d = sqrt(17)

d² = 17

From Pythagoras rule;

Hypotenus = sqrt(Adjacent² + opposite²)

Hence,

Hypotenus = sqrt(17 + 7²)

Hypotenus = sqrt(17+ 49)

Hypotenus = sqrt(66)

Hypotenus = 8.124

Hypotenus = 8.12

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