Answer:
3x + 1 = 2x - 4. x = -5
Step-by-step explanation:
Answer:
$625
$2500
Step-by-step explanation:
tax = percent of tax x income
0.2 x 3125 = 625
amount remaining = income - tax
3125 - 625
year 1
cost = 1.03 (1500) = 1545
put 1545 in for x in year 2
year 2
1.03 * 1545 = 1591.35
put in 1591.35 in for x in year 3
year 3
1.03 *1591.35=1639.0905
round to the nearest cent
cost in three years: $1639.09
Choice C
Answer:180 adults were admitted.
Step-by-step explanation:
Let x represent the number of children that were admitted into the park.
Let y represent the number of adults that were admitted into the park.
The admission fee at the amusement park is $1.50 for children and $4 for adults.
The admission fees collected totaled 1,014.00 dollars. This means that
1.5x + 4y = 1014 - - - - - - - - - -1
On a certain day, 376 people entered the park. This means that
x + y = 376
Substituting x = 376 - y into equation 1, it becomes
1.5(376 - y) + 4y = 1014
564 - 1.5y + 4y = 1014
- 1.5y + 4y = 1014 - 564
2.5y = 450
y = 450/2.5 = 180
Substituting y = 180 into x = 376 - y, it becomes
x = 376 - 180 = 196
a) We have been given two similar figures and we have to find ratio of perimeters of these figures.
Let a be given side of larger figure and b be the given side of smaller figure. Let 
be the perimeters of two figures and 
be the areas of the two figures.
We know that perimeters of two similar figures are in the ratio of corresponding sides.
We have been given, 
Therefore, upon substituting these values in the above equation, we get
(b)
Further we know that areas of two similar figures are in the ratio of squares of corresponding sides.
Therefore, first option is the correct answer.
