Answer:
2/1 or 2
Step-by-step explanation:
The value of y = 4
When two lines are parallel and is cut by a transversal, the alternate angles are equal
y² = 8y - 16
y² - 8y + 16 = 0
y² - 4y - 4y + 16 = 0
y(y - 4) -4(y - 4) = 0
(y - 4)(y - 4) = 0
y - 4 = 0
y = 4
Therefore, the value of y = 4
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If the third term of the aritmetic sequence is 126 and sixty fourth term is 3725 then the first term is 8.
Given the third term of the aritmetic sequence is 126 and sixty fourth term is 3725.
We are required to find the first term of the arithmetic sequence.
Arithmetic sequence is a series in which all the terms have equal difference.
Nth term of an AP=a+(n-1)d
=a+(3-1)d
126=a+2d--------1
=a+(64-1)d
3725=a+63d------2
Subtract second equation from first equation.
a+2d-a-63d=126-3725
-61d=-3599
d=59
Put the value of d in 1 to get the value of a.
a+2d=126
a+2*59=126
a+118=126
a=126-118
a=8
=a+(1-1)d
=8+0*59
=8
Hence if the third term of the arithmetic sequence is 126 and sixty fourth term is 3725 then the first term is 8.
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Answer:
Total distance mouse traveled in 3 hours = of a mile
The mouse traveled the same distance in each hour. So in order to find the distance covered in 1 hour we have to divide the distance covered in 3 hours by 3. This will give us the distance that the mouse traveled in one hour.
So, the distance traveled in one hour will be = of a mile
The error which Matt made was that he divided only the denominator of the expression by 3, this probably was a calculation error.
Correct conclusion will be: Mouse travel 1/24 of a mile each hour
Since you have 7 liters in all you know that 7 minus 2 is 5.
2*14% + 5*x% = 7*34%
0.28 + 5*x% = 2.38
5*x% = 2.38 - 0.28
5*x% = 2.10
x% = 0.42
x = 42%
Chandra must add 5 liters of 42% solution.