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Oksana_A [137]
3 years ago
9

Mrs. Sweeney bought 4 spools of thread. Each spool of orange thread is 4 meters long and each spool of indigo thread is 10 meter

s long. If Mrs. Sweeney bought 34 meters of thread in total, how many rolls of each color did she buy?
... spools of Orange thread

... spools of indigo thread

Mathematics
1 answer:
Evgen [1.6K]3 years ago
6 0

1 spool of orange and 3 spoils of indigo

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Three Friends all have ages that are consecutive integers. The sum of their ages is 48. What is the age of the oldest friend?
Reptile [31]
Consecutive integers = in this situation double-digit whole numbers So as there are 3 of them let's say 2 are 11 because that would be the highest consecutive number so 11+11= 22 and 48-22=26 so the three have the ages of 11,11,26 and the oldest would be 26 ;)
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The measure of one angle of a right triangle is 56∘ more than the measure of the smallest angle. Find the measure of the smalles
GrogVix [38]

Answer:

The sum of all angels for any triangle equals 180°

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step by step

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In a study of the progeny of rabbits, Fibonacci (ca. 1170-ca. 1240) encountered the sequence now bearing his name. The sequence
expeople1 [14]

The question in part c is not clear, nevertheless, part a and part b would be solved.

Answer:

a. The first twelve terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.

b. The first ten terms are:

1.000, 1.000, 1.500, 1.667, 1.600, 1.625, 1.615, 1.619, 1.618, 1.618.

Step-by-step explanation:

a. Given

an + 2 = an + an + 1

where a1 = 1 and a2 = 1.

a3 = a1 + a2

= 2

a4 = a2 + a3

= 3

a5 = a3 + a4

= 5

a6 = a5 + a4

= 8

a7 = a6 + a5

= 13

a8 = a7 + a6

= 21

a9 = a8 + a7

= 34

a10 = a9 + a8

= 55

a11 = a10 + a9

= 89

a12 = a11 + a10

= 144

The first twelve terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.

(b)

Given

bn = an+1/an

b1 = a2/a1

= 1/1 = 1.000

b2 = a3/a2

= 2/1 = 1.000

b3 = a4/a3

= 3/2 = 1.500

b4 = a5/a4

= 5/3 = 1.667

b5 = a6/a5

= 8/5 = 1.600

b6 = a7/a6

= 13/8 = 1.625

b7 = a8/a7

= 21/13 = 1.615

b8 = a9/a8

= 34/21 = 1.619

b9 = a10/a9

= 55/34 = 1.618

b10 = a11/a10

= 89/55 = 1.618

The first ten terms are:

1.000, 1.000, 1.500, 1.667, 1.600, 1.625, 1.615, 1.619, 1.618, 1.618.

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