In this case the two equations<span> describe lines that intersect at one particular point. Clearly this point is on both lines, and therefore its coordinates (x, y) will satisfy the </span>equation<span> of either line. Thus the pair (x, y) is the one and only </span>solution to the system of equations<span>.</span>
Step-by-step explanation:
the speed is 130 miles / hour.
that means the train travels 130 miles in 1 hour.
so, the question is, how far is it traveling. when it is going with that speed for 6 hours ?
well, 130 × 6 = 780 miles.
formally, speed is "distance / time".
multiplying this by some time, we have then an expression of "(distance / time) × time", which is then simply "distance".
Answer: 1440
Explanation: when you split it into two shapes (I split it where the split is splitting the eight up) you find the volume of them both. Top shape= 4x4x10=80 bottom shape= 8x8x10=640.
640+80= 720
You will then need to multiply by two (or add 720+720) to get the answer 1440
Answer:
- cookie: $1.25
- cupcake: $2.75
Step-by-step explanation:
Let x and y represent the cost of a cookie and a cupcake, respectively.
4x +3y = 13.25
5x +2y = 11.75 . . . . . . the system of equations
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By Cramer's rule:
x = (3(11.75) -2(13.25))/(3(5) -2(4)) = 8.75/7 = 1.25
y = (13.25(5) -11.75(4))/7 = 19.25/7 = 2.75
The cost of one cookie is $1.25; the cost of one cupcake is $2.75.
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Cramer's rule gives the solution to the system of equations ...
ax +by =c
dx +ey = f
as ...
∆ = bd -ea
x = (bf -ec)/∆
y = (cd -fa)/∆
The answer is 5:9 because 18 in half is 9 therefore 10 in half is 5
