Answer:
8:30 PM
Step-by-step explanation:
Let's say that x is minutes since 6:20 PM, and y is position in miles.
Since Jonathan drives at a constant rate, the position vs time graph is linear. Two points on the line are (0, 75) and (20, 85). The slope of the line is:
m = Δy / Δx
m = (85 − 75) / (20 − 0)
m = ½
So the equation of the line is:
y = ½ x + 75
We want to find x when y is 140.
140 = ½ x + 75
65 = ½ x
x = 130
So 130 minutes after 6:20 PM is when Jonathan's position will be 140 miles. 130 minutes is 2 hours and 10 minutes. So the time will be 8:30 PM.
The property of real numbers that was illustrated in the above example is known as the: D. inverse property.
<h3>What is the Inverse Property of Real Numbers?</h3>
The inverse property of real numbers states that if you add the opposite of a number together with that number, the result would be zero.
For example, if "a" represents a number, the opposite of the number "a" is -a.
Applying the inverse property of real numbers, it states that: a + (-a) = a - a = 0. Both numbers will cancel each other to give zero.
In the same vein, as shown in the image given above:
6 is a number
The opposite of 6 is -6.
Applying the inverse property of real numbers, we have:
6 + (-6) = 0.
In conclusion, we can state that given the expression, 6 + (-6) = 0, the property of real numbers that was illustrated in the above example is known as the: D. inverse property.
Learn more about the inverse property on:
brainly.com/question/17407789
#SPJ1
Answer:
1370
Step-by-step explanation:
<h3>Given</h3>
- AP with d= 7 and a₂₂ = 149
<h3>To find</h3>
<h3>Solution</h3>
<u>First, let's get the value of the first term:</u>
- aₙ = a + (n-1)d
- a₂₂ = a + 21d
- 149 = a + 21*7
- a = 149 - 147
- a= 2
<u>Next, let's find the sum of the first 20 terms</u>
- Sₙ = 1/2n(2a+ (n-1)d)
- S₂₀ = 1/2*20(2*2 + 19*7) = 10(4 + 133) = 10*137 = 1370
<u>Answer is</u> 1370
