Answer: 60% increase followed by a 40% decrease belongs in less than original. A 50% increase followed by a 33 1/3 decrease also belong in less than original. A $20 decrease followed by a $20 increase belongs in same as original. A 75% decrease followed by a 50% increase belongs in less than original. A 100% increase followed by a 33 1/3 decrease belongs in less than original.
Step-by-step explanation:
Hope this helps :)
We want to find a fraction that is between

There are several ways to go about this.
There are also infinitely many fractions that can be found between the given fractions.
Let us go for the one in the middle of the two fractions.
So we add the two fractions and divide by 2.
a) 
Find LCM for the numerator

Simplify:



b) 
c)
d)
Answer:
The ratio of the area of triangle XBY to the area of triangle ABC is 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor and the ratio of its areas is equal to the scale factor squared
In this problem
Triangles XBY and ABC are similar, because the corresponding internal angles are congruent
see the attached figure to better understand the problem
step 1
Find the scale factor
Let
z-------> the scale factor

we have


substitute

step 2
Find the ratio of the area of triangle XBY to the area of triangle ABC
Remember that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
we have
-----> scale factor
so

Answer: 19.5 gallons
Step-by-step explanation:
Hi, to answer this question, we have to use proportions:
Nathaniel buys 28 gallons of gas for $56, so the proportion is:
$56 / 28 gallons.
For $39:
$39 / x gallons
Solving for x (number of gallons)
56/28 = 39/x
x = 39 / (56/28)
x = 19.5 gallons
Feel free to ask for more if needed or if you did not understand something.
Answer:
C) –15 = –5x
Step-by-step explanation:
3x - 5 = - 2x + 10
+2x +2x Add 2x to both sides
5x - 5 = 10
+5 +5 Add 5 to both sides
5x = 15 Divide both sides by 5
x = 3
The closest answer would be C because it equals the same answer.