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uysha [10]
3 years ago
8

Jessica paid $ 42.90 for 15 gallons of gas. What was the price per gallon of gas Jessica paid?

Mathematics
1 answer:
Alisiya [41]3 years ago
7 0

Answer:

2.86

Step-by-step explanation:

Just do 42.90 divided by 15 to get the answer, which equals 2.86.

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Alvin wants to know what his average paddling rate was for a canoe trip to a campsite. On the way there it took him 8 hours agai
Marizza181 [45]

let

r--------> Alvin's average paddling rate in km/hour

y -------> speed of the current in km/hour



we know that

speed= distance/time ------> solve for distance

distance=speed*time


to Campsite against the current

speed=r-y-----> speed=(r-3)

time=8 hours

distance=(r-3)*8------> equation 2


From Campsite with the current

speed=r+y-----> speed=(r+3)

time=3 hours

distance=(r+3)*3------> equation 1



equate equation 1 and equation 2-----> because is the same distance

(r+3)*3=(r-3)*8----> 3r+9=8r-24----> 8r-3r=24+9-----> 5r=33----> r=6.6 km/hour


therefore


the answer is

Alvin's average paddling rate is 6.6 km/hour


7 0
3 years ago
What is the area of the shaded region in the figure below? Use 3.14 for pie
vladimir1956 [14]

Answer:

200.96 = area of Shaded portions.

Step-by-step explanation:

Area of the 2 stars.

I don't know if you can see this or not, but the 4 quarter circles surrounding the star is found by subtracting a full small square surrounding the star

Area of 1 star = 4 * (1/4) pi * r^2

Area of 1 star = 3.14 * 4^2

Area of 1 star = 50.24

Area of both stars = 100.48

Area of the 4 semicircles at each end

The 2 semicircles at one end figure = 1 circle

The two circles gives the total area of the 4 semicircles.

Area 1 circle = pr * r^2

Area 1 circle = 3.14 * (8/2)^2

Area 1 circle = 50.24

There are 2 such circles = 100.48

Total area of both results

Total Area = 100.48 + 100.48

Total Area = 200.96

3 0
2 years ago
Find the equation of the line.<br> Use exact numbers.<br> y =<br> x+
Alexxandr [17]

This is poorly written, but as i understand:

We have the general equation:

y = x + i

where i is a constant, and we want this function to pass through the point x = 2 and y = 3.

Then we must find the value of y, we know that when x= 2 we also must have y = 3, so we can replace those two values in the equation above and get

y = 3 = x + i = 2 + i

3 = 2 + i

3 - 2 = i

1 = i

So our equation is y = x + 1

8 0
2 years ago
This is worth half of my grade
JulijaS [17]

Answer:

y = 8 -  8\sin(2x)

3 0
3 years ago
Solve the system of equations by substitution. Write your solution as an ordered pair
marshall27 [118]

Answer: (-5,5)

Step-by-step explanation:

graphing the two equations on a calculator gets the point (-5,5)

5 0
3 years ago
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