Answer:
y=mx+b
3=slope
1=y coordinate
-8=x coordinate
b=y intercept
Substitute m for 3
y=3x+b
Next, substitute the coordinate values
1=3(-8)+b
Solve
1=-24+b
+24 +24
25=b
Now substitute b and m for their respective values
y=3x+25
Step-by-step explanation:
Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.
<h3>What is the distance?</h3>
Distance is the movement of an object regardless of direction. The distance can be defined as the amount of length an object has covered, regardless of its starting or ending position
We know that r × t = d
r = rate of speed
t = time
d = distance
For the motor boat
9 × t = d = rate × time
For the tour boat
27 × (t - 2) = d = rate × time
When they both cover the same distance in the same amount of time, they will eventually cross paths.
They both cover the same d-mile distance, so:
9 ×t = 27 × (t - 2)
Simplify to get:
9 × t = 27 × t - 54
18 t = 54
t = 3
The motor boat will have traveled at 9 mph for 3 hours to make a distance of 9 × 3 = 27 miles.
The tour boat will have traveled at 27 mph for 1 hour to make a distance of 1 × 27 = 27 miles.
Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.
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Answer:
20 questions
Step-by-step explanation:
Given
Required
Number of questions answered
First, we need to get the total correct marks obtained by Roy
This is calculated by multiplying the correct marks by number of correct answers
Subtract this from the total scores obtained; This gives the total incorrect answer obtained by Roy
Open bracket
Divide this by -2 to get the number of incorrect answers
Add this to the number of correct answers to give the total number of question answered
<em>Hence, Roy answered a total of 20 questions</em>
Answer:
Step-by-step explanation:
- <em>Percent change is the difference in numbers divided by initial number converted to percent value.</em>
<u>Percent increase:</u>
<u>Percent decrease:</u>
- (70 - 50)/70*100% = 28.57%
<u>Compare:</u>
Answer:
Option "D" is correct $3630
Step-by-step explanation:
At the beginning of the 7th year, the money has been in the account for 6 years.
The simple interest on $3000 at 3.5% for 6 years is I = prt:
(3000) = (.035) = (6) = 360
he amount in the account at the <u>beginning of the 7th year</u> is then the <u>original amount plus</u> the interest <u>$3630.</u>
