The ratio of two numbers is 5 to 3. The sum of the numbers is 16. What are the numbers? 8 and 8 9 and 7 15 and 9 10 and 6

Answers

Answer 1

Answer: $(x)/(y)=(5)/(3)\nx+y=16\n\n(x)/(y)=(5)/(3)\nx=16-y\n\n(16-y)/(y)=(5)/(3)\n5y=3(16-y)\n5y=48-3y\n8y=48\ny=6\n\nx=16-6\nx=10$

10 and 6

Answer 2

Answer:

The ratio of the numbers is 5 : 3 and the numbers are 10 and 6.

Given data:

The first number is x and the second number is y.

The ratio of the two numbers is 5 to 3, which can be expressed as x/y = 5/3.

The sum of the numbers is 16, which can be expressed as x + y = 16.

From the ratio x/y = 5/3:

3x = 5y (equation 1)

From the sum x + y = 16:

x = 16 - y (equation 2)

Now , substitute equation 2 into equation 1 to solve for y:

3(16 - y) = 5y

48 - 3y = 5y

48 = 8y

y = 48/8

y = 6

Substituting the value of y back into equation 2:

x = 16 - y

x = 16 - 6

x = 10

Hence, the numbers are x = 10 and y = 6.

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Answers

Theansweris6/7........

Answer:

$(6)/(7)$

Step-by-step explanation:

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Fiona has proved that a function, f(x), is an arithmetic sequence. How did she prove that? A. She showed that an explicit formula could be created. B. She showed that a recursive formula could be created. C. She showed that f(n) ÷ f(n - 1) was a constant ratio. D. She showed that f(n) - f(n - 1) was a constant difference.

Answers

Answer:

Option D is correct

Step-by-step explanation:

Option D is correct

Being an arithmetic sequence there will be common difference between the consecutive terms

Option A is incorrect because it is not necessary that explicit formula is an arithmetic sequence we can create explicit formula for any sequence

Option B is incorrect because recursive formula can be created for any sequence for geometric series also.

Option C is incorrect because the sequence that has constant ratio is the geometric sequence not an arithmetic sequence.

Answer:

D. She showed that f(n) - f(n - 1) was a constant difference.

Step-by-step explanation:

∵ A sequence is called arithmetic if there is constant difference between consecutive numbers,

Thus, option D is correct.

In Explicit formulas, we define each term in a sequence directly,

Thus, there are many sequences other than arithmetic that have explicit formula,

i.e. Option A can not be true.

Now, recursive formula defines the relation between successive terms,

Thus, there are many sequences other than arithmetic that have recursive formula,

i.e. Option B can not be true.

Also, if the ratio between successive terms is constant then the sequence is a Geometric sequence,

A GP can not be an AP,

i.e. Option D can not be true.

John had $21 to spend on 2 notebooks. After buying them he had $13. How much did each notebook cost?

Answers

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a triangle has one angle that measures 15 degrees and one angle that measures 44 degrees and one angle that measures 121 degrees what kind of triangle is it?

Answers

Answer:

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What is the value of 17 plus 8 minus 6 times 2?

Answers

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Answers

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