Answer:
F(t) = 10 +5t
Step-by-step explanation:
Income equals the initial fee plus the hours worked times the hourly rate
We know the initial fee = 10
hours = t
hourly rate =r
F(t) = 10 + r*t
We know a 5 hour job is 35 dollars
35 = 10 + r*5
Subtract 10 from each side
35-10 = 10-10 +5r
25 = 5r
Divide by 5
25/5 = 5r/5
5 =r
The hourly rate is 5
F(t) = 10 +5t
Answer:
Mark has 18 shirts
Given that together they have 140 shirts.
x + 7x - 4 = 140
8x = 140 + 4
8x = 144
x = 144/8
x = 18
Joe has 122 shirts
7x - 4
7 × 18 - 4
126 - 4
= 122
1) we calculte the driver´s unit rate of speed.
s=speed
d=distance
t=time.
s=d/t
45 miles------------------3/4 hour
x----------------------------- 1 hour
x=(45 miles * 1 hour) / (3/4 hour)=60 miles.
speed or rate=60 miles / 1 hour.
2)we calculate the distance traveled at 1.25 hour.
distance=rate * time
distance=(60 miles /1 hour) * 1.25 hour=75 miles.
Answer: the driver would´t go late, because, the distance is 65 miles, and he can travel 75 miles if he drive with that speed .
Answer:
The largest integer is 31.
Step-by-step explanation:
Hi there!
Let <em>k</em> be equal to the smallest of the integers.
Let (<em>k</em>+2) be the next odd integer.
Let (<em>k</em>+4) be the final odd integer.
We're given that the sum of these three integers is 87. Construct an equation:
Combine like terms:
Therefore, the smallest integer is 27. Because the largest integer is k+4, the largest integer is therefore 31.
I hope this helps!
Answer:
The measure of angle 2 is 110 degrees
Step-by-step explanation:
<u>Step 1: Find the value of x</u>
Since angle 1 and angle 2 are complimentary, that means they add up to 180.
<em>2x + 3x + 5 = 180</em>
<em />
<u>Step 2: Solve for x</u>
2x + 3x + 5 = 180
5x + 5 - 5 = 180 - 5
5x / 5 = 175 / 5
<em>x = 35</em>
<em />
<u>Step 3: Find the measure of angle 2</u>
m<2 = 3x + 5
m<2 = 3(35) + 5
<em>m<2 = 110</em>
<em />
Answer: The measure of angle 2 is 110 degrees
