Answer:
$36.69
Step-by-step explanation:
Okay, so let's first write the equation:
2.59*10 + 3d = 135.97
Now, let's work on isolating d by first simplifying the equation:
25.9 + 3d = 135.97
25.9 + 3d - 25.9 = 135.97 - 25.9
3d = 110.07
3d/3 = 110.07/3
d = 36.69
Okay, now let's check:
2.59*10 + 3*36.69 = 135.97
25.9 + 110.07 = 135.97
135.97 = 135.97
Okay, so so it costs $36.69 per pair of shoe.
Maximum time allowed = 7 deg. / 0.03 deg/s = 233.3 s
Minimum speed = 55 yd * 3 ft/yd / 233.3 s
= 0.707 ft/s
Given:
Expression is

To prove:
If r is any rational number, then
is rational.
Step-by-step explanation:
Property 1: Every integer is a rational number. It is Theorem 4.3.1.
Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.
Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.
Let r be any rational number.
We have,

It can be written as

Now,
3, -2 and 4 are rational numbers by property 1.
is rational by Property 3.
are rational by Property 3.
is rational by property 2.
So,
is rational.
Hence proved.