If $1 is worth 30.23 rubles, just multiply 75 by 30.23
75*30.23=2,267.25
So, he'll get 2,267.25 rubles.
Two say to the sixth power is 420 which equals 12 which would take 420÷12 which is 2002 10 200 to 6 power is 420÷64 = 36
a.
The polynomial w^2+18w+84 cannot be factored
The perfect square trinomial is w^2+18w + 81
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The reason the original can't be factored is that solving w^2+18w+84=0 leads to no real solutions. Use the quadratic formula to see this. The graph of y = x^2+18x+84 shows there are no x intercepts. A solution and an x intercept are basically the same. The x intercept visually represents the solution.
w^2+18w+81 factors to (w+9)^2 which is the same as (w+9)(w+9). We can note that w^2+18w+81 is in the form a^2+2ab+b^2 with a = w and b = 9
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b.
The polynomial y^2-10y+23 cannot be factored
The perfect square trinomial is y^2-10y + 25
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Using the quadratic formula, y^2-10y+23 = 0 has no rational solutions. The two irrational solutions mean that we can't factor over the rationals. Put another way, there are no two whole numbers such that they multiply to 23 and add to -10 at the same time.
If we want to complete the square for y^2-10y, we take half of the -10 to get -5, then square this to get 25. Therefore, y^2-10y+25 is a perfect square and it factors to (y-5)^2 or (y-5)(y-5)
Answer:
1. A
2. C
Step-by-step explanation:
1. Let x be the number of quarters and y be the number of nickels. In total, Fazla has 30 coins, so
x+y=30.
The amount of money Fazla has is
- 0.25x (in quarters);
- 0.05y (in nickels);
- $5.50 in total,
so
0.25x+0.05y=5.50
From the first equation, x=30-y. Substitute into the second equation:
0.25(30-y)+0.05y=5.50
Multiply it by 100:
25(30-y)+5y=550
750-25y+5y=550
-25y+5y=550-750
-20y=-200
y=10
x=30-10=20
Hence, Fazla has 20-10=10 more quarters than nickels. Option A.
2.
35 Knicks jerseys
60 jerseys in total, so
Ivan has 60 - 35 = 25 Nets jerseys.
Signed Knicks jerseys = 15
Unsigned Knicks jerseys = 35 - 15 = 20
Unsigned Nets jerseys = 32 - 20 = 12
Signed Nets jerseys = 25 - 12 = 13
The probability that randomly selected jersey is unsigned Nets jersey is
Option C.
Answer:
6 4/5
Step-by-step explanation:
Find the Greatest Common Factor (GCF) of 238 and 35, if it exists, and reduce our fraction by dividing both numerator and denominator by it. GCF = 7,
=238÷7/35÷7=34/5
Converting to a mixed number using long division with remainders for 34 ÷ 5.
34÷5=6R4
Therefore:
34/5=6 4/5
