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3 years ago

a new long life tire has a tread depth of 1/4 inches, instead of the more typical 5/32 inches. how much deeper is the new tire

Mathematics

2 answers:

timurjin [86]3 years ago

8 0

Answer:

$\frac{3}{32}$ inches deeper is the new tire.

Step-by-step explanation:

Given : A new long life tire has a tread depth of $\frac{1}{4}$ inches, instead of the more typical $\frac{5}{32}$ inches.

To find : How much deeper is the new tire ?

Solution :

The difference in depth is found by the difference in the measurements.

A new long life tire has a tread depth of $\frac{1}{4}$ inches.

The more typical has $\frac{5}{32}$ inches.

So, The difference in the tire is

$d=\frac{1}{4}-\frac{5}{32}$

Take the least common denominator,

$d=\frac{8-5}{32}$

$d=\frac{3}{32}$

Therefore, $\frac{3}{32}$ inches deeper is the new tire.

borishaifa [10]3 years ago

6 0

You have to make both of them to lowest common denominator. In this case the lowest common denominator is 16. So multiply 1/4 × 4 and devide 5/32 by 2. Then it is 4/16 and 2.5/16. Now it is easier to compare. I hope you understand what I mean, and that I was correct ☺

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Wouldn't it be zero? because only 0 is less than 2 in this case

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3 years ago

The volume of air inside a rubber ball with radius r can be found using the function V(r) = four-thirds pi r cubed. What does V

Nat2105 [25]

Corrected Question

The volume of air inside a rubber ball with radius r can be found using the function V(r) = four-thirds pi r cubed. What does V(5/7) represent?

Answer:

(B)the volume of the rubber ball when the radius equals five-sevenths feet

Step-by-step explanation:

The Volume of a sphere of radius r can be found using the formula:

$V(r)=\dfrac43 \pi r^3$

Therefore comparing the expression: $V(\dfrac57)$ with V(r):

$Radius, r=\dfrac57$

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The correct option is B.

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3 years ago

Read 2 more answers

40, 10, 5/2 5/8... (fractions) is it arithmetic or geometric and what are the next two terms PLZ HELP DUE IN 10 MINS

patriot [66]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

$40,\:10,\:\frac{5}{2},\:\frac{5}{8}$

A geometric sequence has a constant ratio 'r' and is defined by

$\:a_n=a_0\cdot r^{n-1}$

Computing the ratios of all the adjacent terms

$\frac{10}{40}=\frac{1}{4},\:\quad \frac{\frac{5}{2}}{10}=\frac{1}{4},\:\quad \frac{\frac{5}{8}}{\frac{5}{2}}=\frac{1}{4}$

The ratio of all the adjacent terms is the same and equal to

$r=\frac{1}{4}$

Thus, the given sequence is a geometric sequence.

As the first element of the sequence is

$a_1=40$

Therefore, the nth term is calculated as

$\:a_n=a_0\cdot r^{n-1}$

$a_n=40\left(\frac{1}{4}\right)^{n-1}$

Put n = 5 to find the next term

$a_5=40\left(\frac{1}{4}\right)^{5-1}$

$a_5=40\cdot \frac{1}{4^4}$

$a_5=\frac{40}{4^4}$

$=\frac{2^3\cdot \:5}{2^8}$

$a_5=\frac{5}{2^5}$

$a_5=\frac{5}{32}$

now, Put n = 6 to find the 6th term

$a_6=40\left(\frac{1}{4}\right)^{6-1}$

$a_6=40\cdot \frac{1}{4^5}$

$a_6=\frac{40}{4^5}$

$=\frac{2^3\cdot \:5}{2^{10}}$

$a_6=\frac{5}{2^7}$

$a_6=\frac{5}{128}$

Thus, the next two terms of the sequence 40, 10, 5/2, 5/8... is:

$a_5=\frac{5}{32}$

$a_6=\frac{5}{128}$

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3 years ago

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Nataly_w [17]

Answer:

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andrey2020 [161]

Answer:

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Since we now have the slope, we need the negative reciprocal of it. Remember: if x is the slope, it's negative reciprocal will be $-\frac{1}{x}$ . Therefore, if the line's slope is 3, then we need to find answers with a slope of $-\frac{1}{3}$ .

The first answer is correct, as you have marked. The second answer, while written a little weirdly, does show the slope as 3, which we know as wrong. The third choice is not correct, however. This equation is written in point-slope form, where $y-y_{1}=m(x-x_{1})$ . The only variable we have to worry about is m, which, in the third choice, is 3. The fourth answer is correct, which sounds weird at first. Let's put that equation into slope-intercept form:

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