Answer:
49 litres of petrol are needed to travel from town X to town Y and back.
Step-by-step explanation:
Well, first off, the variable X and Y, as well as the distance given (124 km) aren't important pieces of information in this equation. They're only there to throw you off and confuse you.
25L of <em>p</em> (petrol) to make the entire journey. After the engine has been tuned, it requires 2% less <em>p</em> than before it was tuned.
2%/100 = 0.02
0.02 * 25L = 0.5L
25L - 0.5L = 24.5L
Now, don't forget, at the end of the word problem we're asked how many litres of <em>p</em> would be required to travel from <em>x</em> to <em>y</em> <em><u>AND BACK</u></em>. So it's not only 24.5L, it's double that (24.5 * 2 = 49L)
Good luck!!
Answer:
25 = x
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
5x+15 = 6x -10
Subtract 5x from each side
5x-5x+15 = 6x-5x -10
15 = x - 10
Add 10 to each side
15+10 = x-10+10
25 = x
Answer:
6 Dollars.
Step-by-step explanation:
A toolset sells for $150 at a local hardware store. The toolset is on sale for 20% off the retail price, p, given by f(p) = 0.80p. Devon is interested in buying the toolset and has a coupon for $30 off the price of the toolset, which can be represented by g(p) = p – 30.
Therefore, the cost of using the coupon followed by the discount,
f[g(p)] = 0.80(p - 30) = 0.80(150 - 30) = 96 dollars.
And the cost of using the discount followed by the application of the coupon,
g[f(p)] = 0.80p - 30 = 0.80 × 150 - 30 = 90 dollars.
Therefore, the difference between f[g(p)] and g[f(p)] is (96 - 90 ) = 6 dollars. (Answer)
Answer:
The answer should be b. (0,2) because that the order pair for y
Answer:
x =6.0
The base is 6x = 35.8
The side is 3x = 17.9
Step-by-step explanation:
We can use the pythagorean theorem
a^2 + b^2 = c^2
(6x)^2 +(3x)^2 = 40^2
36x^2 + 9x^2 = 1600
Combine like terms
45x^2 = 1600
Divide each side by 45
45x^2 /45 =1600/45
x^2 =35.555555555
Take the square root of each side
sqrt(x^2) = sqrt(35.555555555)
x =5.96284794 = 6.0
The base is 6x = 6*5.9628479 =35.77708 = 35.8
The side is 3x = 3*5.9628479 =17.88854382= 17.9
