Answer: The price for the product is R$5.
Step-by-step explanation: Suppose the unit price of the product is X.
T is all the money I have.
In the first option, 20 units spend all my money, so:
T = 20x
In the second option, if I buy 14 of it, I have a remaining of R$30, so:
T = 14.x + 30
To determine the unit valor:
20x = 14x + 30
20x - 14x = 30
x = 
x = 5
The product costs R$5.
Answer:
33/338
Step-by-step explanation:
Green = 11
Red = 6
Blue = 9
P.Red = 6/26 = 3/13
P.Green = 11/26
P. Both in turns = 3/13 * 11/26
= 33/338
9514 1404 393
Answer:
the correct choice is marked
Step-by-step explanation:
The line has a rise of 2 for a run of 1, so a slope of 2. The line crosses the y-axis at y=-2, so the y-intercept is -2. The slope-intercept equation for the line is ...
y = mx + b . . . . . . for slope m and y-intercept b
y = 2x -2
9514 1404 393
Answer:
2 1/2 feet
Step-by-step explanation:
The Pythagorean theorem is not useful in this problem.
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If you reflect the triangle over the vertical line, you find that line to be the altitude of an equilateral triangle. That is, all of the vertex angles are 60°.
The base of that equilateral triangle is necessarily twice the length of the base of the triangle shown. All sides of the equilateral triangle are the same length, so all are 5 ft. The base of the triangle shown is half that.
The base (short leg) of the triangle shown is 2 1/2 feet.
_____
Since angles are given, this can be solved using trigonometry. The short leg will be (5 ft)·cos(60°) = (5 ft)(0.5) = 2.5 ft. (The cosine of 60° is one of the few exact rational values of trig functions of exact angles measured in degrees.)
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