Let x = roller coaster ticket
let y = boat ride ticket
x + y = 10
4x + 3y = 37
x = 10 - y
4x + 3y = 37
4(10-y) + 3y = 37
40 - 4y + 3y = 37
-y = 37 - 40
-y = -3
y = -3/-1
y = 3
x = 10 - y
x = 10 - 3
x = 7
x = 7 ; y = 3
4x + 3y = 37
4(7) + 3(3) = 37
28 + 9 = 37
37 = 37
Answer:
3•10^3 is 3,000, so the answer is 9,000
Answer:
Step-by-step explanation:
One is given the following expression:
In order to simplify and solve this problem, one must keep the following points in mind: the square root function (
) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: (
). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.
Take factors from out of under the radical:
Simplify,
Answer:
2/5
Step-by-step explanation:
To get the ratio as a pure number, it must be expressed as the quotient of two values that have the same units. For the purpose here, it is convenient to convert both values to units of seconds.
__
<h3>units conversion</h3>
The conversion factor between minutes and seconds is ...
1 minute = 60 seconds
Multiplying this equation by 3 gives ...
3 minutes = 180 seconds
__
<h3>ratio of interest</h3>
Then the desired ratio is ...
(72 seconds)/(3 minutes) = (72 seconds)/(180 seconds) = 72/180
= (36×2)/(36×5)
= 2/5
The ratio in its simplest form is 2/5.
Answer:
3.42
Step-by-step explanation:
41/12 is 3.42
