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3 years ago

Are 4:7 and 3:5 proportional

Mathematics

2 answers:

Alborosie3 years ago

7 0

To solve you multiply 4x5=20 and 3x7=21. The numbers are not equal, so they are not proportional. (Hope this helps!)

Maksim231197 [3]3 years ago

7 0

Answer:

No they are not proportional.

Step-by-step explanation:

If you make the ratio into a fraction it looks like this

4/7 and 3/5

Now you cross multiply

4*5 and 3*7

Now you have 20 and 21

Those numbers are unequivelent

So they are not proportional

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Answer:

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Step-by-step explanation:

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2 years ago

Is (4, 2) a solution to the equation y = x2 − 7x?

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Answer:

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Step-by-step explanation:

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2 years ago

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Write an expression to represent the length of a string in yards in terms of the string's length, x, in inches

Sergio039 [100]

Answer:

$y = \frac{x}{36}$

Step-by-step explanation:

Given

Length of string = x inches

Required

Determine the length in yards

Represent the equivalent length with y

Such that

$y = x\ inches$

Divide x by 36 to get equivalent in yards

$y = \frac{1}{36} * x$

$y = \frac{x}{36}$

Hence, the equivalent in yards is $\frac{x}{36}$

3 0

3 years ago

4. a) A ping pong ball has a 75% rebound ratio. When you drop it from a height of k feet, it bounces and bounces endlessly. If t

Klio2033 [76]

First part of question:

Find the general term that represents the situation in terms of k.

The general term for geometric series is:

$a_{n}=a_{1}r^{n-1}$

$a_{1}$ = the first term of the series

$r$ = the geometric ratio

$a_{1}$ would represent the height at which the ball is first dropped. Therefore:

$a_{1} = k$

We also know that the ball has a rebound ratio of 75%, meaning that the ball only bounces 75% of its original height every time it bounces. This appears to be our geometric ratio. Therefore:

$r=\frac{3}{4}$

Our general term would be:

$a_{n}=a_{1}r^{n-1}$

$a_{n}=k(\frac{3}{4}) ^{n-1}$

Second part of question:

If the ball dropped from a height of 235ft, determine the highest height achieved by the ball after six bounces.

$k$ represents the initial height:

$k = 235\ ft$

$n$ represents the number of times the ball bounces:

$n = 6$

Plugging this back into our general term of the geometric series:

$a_{n}=k(\frac{3}{4}) ^{n-1}$

$a_{n}=235(\frac{3}{4}) ^{6-1}$

$a_{n}=235(\frac{3}{4}) ^{5}$

$a_{n}=55.8\ ft$

$a_{n}$ represents the highest height of the ball after 6 bounces.

Third part of question:

If the ball dropped from a height of 235ft, find the total distance traveled by the ball when it strikes the ground for the 12th time. 

This would be easier to solve if we have a general term for the sum of a geometric series, which is:

$S_{n}=\frac{a_{1}(1-r^{n})}{1-r}$

We already know these variables:

$a_{1}= k = 235\ ft$

$r=\frac{3}{4}$

$n = 12$

Therefore:

$S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{1-\frac{3}{4} }$

$S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{\frac{1}{4} }$

$S_{n}=(4)(235)(1-\frac{3}{4} ^{12})$

$S_{n}=910.22\ ft$

8 0

2 years ago

Given f(x) = x + 3x + 2 and g(x) = x + 1, perform the indicated operations. In the

nadezda [96]

Answer: x² + 4x + 3

Step-by-step explanation:

f(x) = x² + 3x + 2

+ g(x) = x + 1

(f+g)(x) = x² + 4x + 3

Note: This answer is based on f(x) having an x² (since the squared is missing from your question).

5 0

2 years ago