Estimate the total amount you should plan to spend on gasoline for the entire trip
<em>Total distance of the trip</em> = 1430 miles
<em>After 350 miles, refill tank</em> = $35
This means 350 miles cost $35
1430 miles cost $x
solve using ratio
350 : 35 = 1430 : x
350/35 = 1430 / x
10 = 1430/x
<em>cross product</em>
10x = 1430
<em>Divide both sides by 10</em>
x = 1430 / 10
x = $143
Therefore, the total amount you should plan to spend on gasoline for the entire trip is $143
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brainly.com/question/18520020
A cosine is just a sine shifted to the left by π/2. A cosine of 4x is shifted to the left by only π/8 because of the factor 4. Sketch them.
The region we're looking for is this sausage-shaped part between the cos and the sin.
The x intercepts are at π/8 for the cosine and π/4 for the sine. The midpoint between them is at (π/8 + π/4)/2 = 3/16π.
The region is point symmetric around the x axis, so the y coordinate of the centroid is 0.
So the centroid is at (3/16π, 0)
Answer:
Y=-1
Step-by-step explanation:
Well i pulled up to ann old amigos house scowering out for some drugs when i stumbled upon this math question. I used my smarts I learned while hopping walls to get my freedome to give you the answer that you have now obtained. Your welcome - Senior Altuvai
John's hourly rate is 1/8 of the room per hour.
Rick's hourly rate is 1/2 of the room per hour.
Molli's hourly rate would be 3/8 of the room per hour.
It takes Molli 2 2/3 hours to paint the room alone.
Explanation
Since John paints the entire room (100%=1) in 8 hours, he would paint 1/8 of the room in 1 hour.
Since Rick paints the entire room (100%=1) in 2 hours, he would paint 1/2 of it in 2 hour.
We do not yet know Molli's rate, so we will call it x.
We know that 1/8+1/2+x = 1 hour.
We will use 8 as a common denominator:
1/8+4/8+8x/8 = 1
Adding the numerators,
(1+4+8x)/8 = 1
Multiply both sides by 8:
1+4+8x = 8
Add like terms:
5+8x = 8
Subtract 5 from both sides:
5+8x-5=8-5
8x=3
Divide both sides by 8:
8x/8 = 3/8
x = 3/8
Molli's rate is 3/8.
Since she can paint 3/8 of the room in 1 hour, we can set up the equation
3/8x = 1
Divide both sides by 3/8:
3/8x ÷ 3/8 = 1 ÷ 3/8
x = 1/1 ÷ 3/8 = 1/1 × 8/3 = 8/3
x = 2 2/3
This is the amount of time it takes Molli to paint the entire room.
Answer:
8 / 9 miles
Step-by-step explanation:
Given that:
Jason's distance = 1/3 mile
Jane's distance = 2/6 miles
Jude's distance = 2/9 miles
The total miles rowed down the river by all 3 :
(1/3 + 2/6 + 2/9) miles
The L. C. M of the denominator (3, 6, 9) = 18
(6 + 6 + 4) / 18
16 / 18 miles
8 / 9 miles
