Answer:
P(black) = 2/3
Step-by-step explanation:
We need to find the total number of marbles
2 red marbles+ 3 white marbles+ 10 black marbles = 15 marbles
To find the probability that Sam chose a black marble, we take the number of black marbles and divide by the total number of marbles
P(black) = black marbles/total marbles
= 10/15
Divide the top and bottom by 5
= 2/3
The unit rate in this problem is one payment per month. Since Martha has made 86 payments, that means it has been 86 months. Because of that, we can simply multiply 3335*86 to get 286810.
So she so far has paid $286,810 for her house payment
Answer:
98 ft²
Step-by-step explanation:
There are a couple of ways you can think about this one. Perhaps easiest is to treat it as a square with a triangle cut out of it. The cutout triangle has a base (across the top) of 14 ft and a height of 14 ft, so its area is ...
A = (1/2)(14 ft)(14 ft) = 98 ft²
Of course the area of the square from which it is cut is ...
A = (14 ft)² = 196 ft²
So, the net area of the two triangles shown is ...
A = (196 ft²) - (98 ft²) = 98 ft²
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Another way to work this problem is to attack it directly. Let the base of the left triangle be x. Then the base of the right triangle is 14-x, and their total area is ...
A = A1 + A2 = (1/2)(x ft)(14 ft) + (1/2)((14-x) ft)(14 ft)
We can factor out 7 ft to get ...
A = (7 ft)(x ft + (14 -x) ft)
A = (7 ft)(14 ft) = 98 ft²
Is there a picture of the ramp?
Answer:
economical activities in society