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Complete Question
Write a rational equation that relates the desired percentage p, to the amount A of a 30% solution that needs to be added to 1 liter of 10% acid solution to make a blend that is p% acid, where 0<p<100 . What is a reasonable restriction on the set of possible values of ? Explain your answer.
Answer:
100(0.1 + 0.3A)= (1 + A) P
Step-by-step explanation:
A of a 30% solution that needs to be added to 1 liter of 10% acid solution to make a blend that is p% acid,
Hence,
10% of 1 + 30% of A = p%(1 + A)
0.10 + 0.3A = (p/100)(1 + A)
Divide both sides by 1 + A
0.1 + 0.3A/ 1 + A = p/100
Cross Multiply
100(0.1 + 0.3A) = 1 + A(p)
From the above calculation, we can see that, the blend that would be formed is not lower than 10% or greater than 30%
10% < p< 30%
Answer:
$6,120
Step-by-step explanation:
1/5 (one-fifth) of the family's annual income ($30,600) is spent on housing- as the word problem states.
You have to find 1/5 (one-fifth) of* $30,600.
Write it out as an equation.
*The <em>of</em><em> </em>in the word equation (1/5 of 30600) simply means multiplication.
Answer:
114
Step-by-step explanation:
since the total degrees of ANY triangle is 180 degrees, you just simply do 180-38-28 and you would get 114!
Answer:#1
if corresponding angles are congruent
#2
if alternate interior angles are congruent
#3
if consecutive, or same side, interior angles are supplementary
#4
if two lines are parallel to the same line
#5
if two lines are perpendicular to the same line
#6
if alternate exterior angles are congruent
Answer:
d = 1.1 units
Step-by-step explanation:
Since the x- coordinates of the 2 points are equal, both 3, then they lie on a vertical line. The distance between the 2 points is the difference in the y- coordinates, that is
d = | 2.4 - 1.3 | = | 1.1 | = 1.1 units
