So let the smaller integer be 2x+1 and the larger one be 2x+3. So 2x+1+2x+3 is 32. Simplifying, we get 4x+4=32. So subtracting 2 from both sides we get 4x+2=30. So dividing by 2 we get 2x+1=15. So 2x+3 is 17. So the numbers are 15 and 17
Answer:
4-3i is the answer.......
Explanation
<u>Product</u>
(2-i)(1+2i) = 2+4i-i-2i²
= 2+4i-i+2
= 4+3i
conjugate of 4+3i is 4-3i
Answer: 15 gallons of gas is required for a 705 miles trip.
Step-by-step explanation:
Since we have given that
Number of miles in a trip = 235 miles
Number of gallon of gas is needed = 5
We need to find the amount of gas required for 750 miles trip.
Since there is direct variation, as for increase in number of miles, amount of gas must be increased.
According to question, it becomes,

Hence, 15 gallons of gas is required for a 705 miles trip.
<h2>
Answer:</h2>
For a real number a, a + 0 = a. TRUE
For a real number a, a + (-a) = 1. FALSE
For a real numbers a and b, | a - b | = | b - a |. TRUE
For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c). FALSE
For rational numbers a and b when b ≠ 0, is always a rational number. TRUE
<h2>Explanation:</h2>
- <u>For a real number a, a + 0 = a. </u><u>TRUE</u>
This comes from the identity property for addition that tells us that<em> zero added to any number is the number itself. </em>So the number in this case is
, so it is true that:

- For a real number a, a + (-a) = 1. FALSE
This is false, because:

For any number
there exists a number
such that 
- For a real numbers a and b, | a - b | = | b - a |. TRUE
This is a property of absolute value. The absolute value means remove the negative for the number, so it is true that:

- For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c). FALSE
This is false. By using distributive property we get that:

- For rational numbers a and b when b ≠ 0, is always a rational number. TRUE
A rational number is a number made by two integers and written in the form:
Given that
are rational, then the result of dividing them is also a rational number.
The correct answer is C) (5×10⁴)(1×10²)
Explanation:
The number of trees can be calculated by the formula:
trees = density × area
Consider that the problem says that the researcher makes an approximation, and the answers have numbers written in scientific notation.
The density is 86 trees/km²,
which can be rounded to 100 trees/km²
and written as <span>1×10².
Therefore, density = </span>1×10² trees/km²
The area of a square can be calculated by the formula:
A = s²
= 220²
= 48400 km²
which can be roundend to 50000
and written as <span>5×10⁴
Therefore, area = </span>5×10⁴ km²
Now, we can substitute in the original formula:
trees = (1×10²)(5×10⁴)