Step-by-step explanation:
General equation of the circle with center (h,k) and radius r,
(x-h)²+(y-k)²=r²
Therefore, on comparison
center ( 4, -2)
radius r= 4√2
Answer:
49
Step-by-step explanation:
First you must do x times 6, x is really just 1. After you do that, you times it by 7.
If Andy has 102 coins mixed with dimes and quarters and monetary value of $17.10 then he has 56 dimes and 42 quarters.
Given number of coins Andy has is 102 and montary value of all coins is $17.10.
We have to determine number of dimes and quarters.
1 dime=$0.10
1 quarter=$0.25
Suppose the number of dimes be x and number of quarters be y.
The equations are:
0.10x+0.25y=17.10------------1
x+y=102-------------2
from equation 2, y=102-x
Put the value of y=102-x in equation 1
0.10x+0.25(102-x)=17.10
0.10x+25.5-0.25x=17.10
-0.15x=17.10-25.5
-0.15x=-8.4
x=8.4/0.15
x=56
Put the value of x in y=102-x
y=102-56
y=46
Hence Andy has 56 number of dimes and 46 quarters.
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Answer:
D. 1.3
Step-by-step explanation:
5(1.3) = 6.5
Since the value of r is .2 less than b, b would be 1.5
2(1.5) = 3
6.5+3=9.5
Answer:
Step-by-step explanation:
Probability is expressed as
Number of favorable outcomes/number of total outcomes
Considering the first bag, the probability that you pick a letter that is Upper Y is 7/20 = 0.35
Converting to percentage, it becomes
0.35 × 100 = 35%
Considering the second bag, the probability that you pick a letter that is Upper Y is 240/500 = 0.48
Converting to percentage, it becomes
0.48 × 100 = 48%
Therefore, you are more likely to pick a tile that is the Upper Y letter from the second bag.