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MrMuchimi
2 years ago
6

On a map 1 inch = 50 miles. If two cities are 3 1/2 inches apart, how many miles are they apart?

Mathematics
1 answer:
Ganezh [65]2 years ago
3 0
I think 175 miles.
Since 1 = 50 miles and the cities are 3 1/2 miles apart, all you need to do is multiply 50 x 3 which is 150. Then you need to solve the 1/2, which 1/2 of 50 is 25. 150+25 is 175. So the answer is 175 miles.
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3 years ago
About Exercise 2.3.1: Proving conditional statements by contrapositive Prove each statement by contrapositive
Sladkaya [172]

Answer:

See proofs below

Step-by-step explanation:

A proof by counterpositive consists on assuming the negation of the conclusion and proving the negation of the hypothesis.

a) Assume that n is not odd. Then n is even, that is, n=2k for some integer k. Hence n²=4k²=2(2k²)=2t for some integer t=2k². Then n² is even, therefore n² is not odd. We have proved the counterpositive of this statement.

b) Assume that n is not even, then n is odd. Thus, n=2k+1 for some integer k. Now, n³=(2k+1)³=8k³+6k²+6k+1=2(4k³+3k²+3k)+1=2t+1 for the integer t=4k³+3k²+3k. Thus n³ is odd, that is, n³ is not even.

c) Suppose that n is not odd, that is, n is even. Now, n=2k for some integer k. Then 5n+3=10k+3=2(5k+1)+1, thus 5n+3 is odd, then 5n+3 is not even.

d) Suppose that n is not odd, then n is even. Now, n=2k for some integer k. Then n²-2n+7=4k²-4k+7=2(2k²-2k+3)+1. Hence n²-2n+7 is odd, that is, n²-2n+7 is not even.

e) Assume that -r is not irrational, then -r is rational. Since -1 is rational, then (-1)(-r)=r is rational. Thus r is not irrational.

f) Assume that 1/z is not irrational. Then 1/z is rational. Multiplucative inverses of rational numbers are rational, hence z is rational, that is, z is not irrational.

g) Suppose that z>y. We will prove that z³+zy²≤z²y+y³ is false, that is, we will prove that z³+zy²>z²y+y³. Multiply by the nonnegative number z² in the inequality z>y to get z³>z²y (here we assume z and y nonzero, in this case either z³>0=y³ is true or z³=0>y³ is true). On the other hand, multiply by z² (positive number) to get zy²>y³. Add both inequalities to obtain z³+zy²>z²y+y³ as required.

h) Suppose than n is even. Then n=2k, and n²=4k² is divisible by 4.

i) Assume that "z is irrational or y is irrational" is false. Then z is rational and y is rational. Rational numbers are closed under sum, then z+y is rational, that is, z+y is not irrational.

3 0
3 years ago
Someone please help me
Ugo [173]

Answer:

1,-4

Step-by-step explanation:

I hope it helps because we did that in class

5 0
3 years ago
A)y
prohojiy [21]
The answer would be B, due to the fact that the shaded area is above the line.

8 0
3 years ago
On a workday the average decibel level of a busy street is 69 db, with 139 cars passing a given point every minute. if the numbe
Vlad1618 [11]
Decibel is directly proportional to number of cars passing the point. That is,

69 db ----- 139 cars
x   db ----- 17 cars

x = number of cars passing the point per minute on a weekend.

Then,
x= (69*17)/139 = 8.43 db ≈ 8 db
8 0
3 years ago
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