Answer:
50 grams
Step-by-step explanation:
Let the amount of cheese required by the recipe be "x"
Ann increased 60% from original amount and then used up 80 grams. Thus:
<em>Original, increased by 60%, became 80</em>
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This translated to algebraic equation would be:
x + 0.6x = 80
<u>Note:</u> 60% = 60/100 = 0.6
So we can solve the above equation for "x" and get our answer. Shown below:
Hence,
the recipe required 50 grams of cheese
A right triangle is formed with the ladder as the hypotenuse. Since the angle made by the ladder with with ground is given, we can use trigonometric functions to solve for the height of the house.
If we let x be the height of the house and using sine function:
sin 24 = x/30
x = 30 sin 24
x = 12.20 ft
Therefore, the house is 12.20 ft tall
Answer:
2/35
Step-by-step explanation:
Assuming that this is without replacement,
The total amount of marbles is 2+9+3+7, or 21.
9 are yellow, 3 are white. this makes 12.
The probability of selecting a white or yellow marble is 12/21.
Now without replacement (comment if it is with replacement.), there are 20 marbles left, and 2 are Cordovan. This means there is a 2/20 chance then of picking a Cordovan marble.
After multiplying the fractions we get
(12/21) * (2/20) = 2/35.
There is a 2/35 chance of selecting a yellow or white, then a cordovan marble.
Answer:
Step-by-step explanation:
An asymptote of a vertical line is one that the graph can't exactly reach, but can get as close as you want it to be (as long as the distance is not 0), while the x- or y-coordinates tend to plus/minus infinity. An example of where this happens is when filling in the x-value would result in a zero in the denominator, hence the answer.
