One glass of milk has 11 carbs and one snack bar has 14 carbs.
Step-by-step explanation:
Let,
Glass of milk = x
Snack bar = y
According to given statement;
4x+2y=72 Eqn 1
2x+3y=64 Eqn 2
Multiplying Eqn 2 by 2
Subtracting Eqn 1 from Eqn 3
Dividing both sides by 4
Putting y=14 in Eqn 1
Dividing both sides by 4
One glass of milk has 11 carbs and one snack bar has 14 carbs.
Keywords: linear equations, subtraction
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The answer is 29.00 hope this helps
<span>sinx - cosx =sqrt(2)
Taking square on both sides:
</span>(sinx - cosx)^2 =sqrt(2)^2<span>
sin^2(x) -2cos(x)sin(x) + cos^2(x) = 2
Rearranging the equation:
sin^2(x)+cos^2(x) -2cos(x)sin(x)=2
As,
</span><span>sin^2(x)+cos^2(x) = 1
</span><span>So,
1-2sinxcosx=2
1-1-2sinxcosx=2-1
-</span><span>2sinxcosx = 1
</span><span>Using Trignometric identities:
-2(0.5(sin(x+x)+sin(x-x))=1
-sin2x+sin0=1
As,
sin 0 = 0
So,
sin2x+0 = -1
</span><span>sin2x = -1</span><span>
2x=-90 degrees + t360
Dividing by 2 on both sides:
x=-45 degrees + t180
or 2x=270 degrees +t360
x= 135 degrees + t180 where t is integer</span>
Mean is the average. So you add up all the numbers and divide by how many numbers there were.
Mode is the number that occurred the most.
Median is the number that is in the middle when you list the numbers from least to greatest or greatest to least.
Range is calculated when you subtract the biggest number in the group by the smallest number.
