Because a ║b you can say:
-60 -2x = -70 -4x ⇒ -2x + 4x = -70 + 60 ⇒ 2x = -10 ⇒ x = -5 :)))
i hope this is helpful
have a nice day
Answer:
a(n) = a(1) + 6(n -1)
Step-by-step explanation:
The common difference here is 6. 1 + 6 = 7; 13 + 6 = 19; and so on.
Thus, the function in question is a(n) = a(1) + 6(n -1).
Answer: 56
Step-by-step explanation: Divide 42 by 3 and then multiply by 4
<h3>
Answer: 9/100</h3>
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Explanation:
There are 3 pink marbles out of 10 total (we can see that 2 yellow + 3 pink + 5 blue = 10 total)
The fraction 3/10 represents the probability of pulling out a pink marble at random. Since the first one is put back, this means the fraction 3/10 stays the same on the second draw as well.
We use the idea mentioned in the hint to multiply the fractions:
(3/10)*(3/10) = (3*3)/(10*10) = 9/100
The probability of pulling two pink marbles in a row is 9/100, where the first marble is put back.
Effectively, if you were given 100 tries at doing this, you should expect about 9 of those times you get 2 pink marbles in a row.
Diagram attached
Answer:
5.5+106 square inches
Step-by-step explanation:
The wooden frame has different shapes- semi circle, rectangles and we would have to calculate area of all the shapes to get the wood required.
To get area of the circle, we use the formula π(R²-r²)/2. Subtract the inner radius from the outer radius =
π(6²-5²)/2= 11π/2
=5.5π square inches
We add area of the semi circle to area of the 3 rectangles from the diagram:
2×1×48×10×1=106 square inches
The rectangle with 10 inches is because we subtracted one inch from both sides of the 12 inches rectangle to avoid repetition and overvaluing the area
Total area =5.5π +106 square inches
Options must have ommitted the "π"
