<span>1/2x+3y/4=5 => (1/2)x + (3/4)y = 5
1/5x+3y/2=2 => (1/5)x + (3/2)y = 2
Eliminate the fractional coefficients: Mult. the first equation by 4 and mult. the second equation by 10:
2x + 15y = 20
</span><span>Multiply the 1st equation by -1:
-</span>2x - 3y = -20
2x + 15y = 20
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12y = 0, so y = 0. Then the first equation becomes 2x + 3(0) = 20, or
x=10.
Solution is (10,0).
Step-by-step explanation:
given a normal distribution with the given parameters the probability (= the % of the area of the distribution curve) for a number to be between 203 and 1803 is
0.9987
so, 99.87% of all numbers are expected to be in that range.
for 350,000 numbers that means
350,000×0.9987 = 349,545 numbers are expected to be between 203 and 1803.
Answer:
12 months
Step-by-step explanation:
Given that:
Mario:
12 stamps per month
Since January
Karen :
18 stamps per month
Starts on july
Number of stamps collected by Mario till the end of June :
12 * 6 = 72 stamps
For Mario :
72 + 12x
For karen:
18x
Where x is the number of months after karen starts :
Equate both equations
72 + 12x = 18x
72 = 18x - 12x
72 = 6x
x = 72/6
x = 12
After 12 months
Number of months after karen starts, will they have same amount of stamp
Answer:
x = 10
missing angle = 83°
Step-by-step explanation:
These are supplementary angles meaning they have a sum of 180°.
8x + 3 + 97 = 180
8x + 100 = 180
8x + 100 - 100 = 180 - 100
8x = 80
x = 10
Substitute the value for the variable.
8(10) + 3
80 + 3
83
Answer:
Normally, sequences don't go behind 1, but let's see for this one.
f(-1) = 1
Step-by-step explanation:
Let's sub for -1 in x.
f(-1) = 2(-1) + 3.
f(-1) = -2 + 3
f(-1) = 1
:)
