Answer:
Exact Form:
21/25
Decimal Form:
0.84
Step-by-step explanation:
<em>Reduce the expression, if possible, by cancelling the common factors.</em>
Let w be the width and l the length of the rectangle.
Then:

Solving the above system we get:

Therefore:

then

,which is the length,
And then the width
Answer:
alternate interior angles
Step-by-step explanation:
Alternate interior angles are the angles formed on the opposite sides of the transversal. Among these, the angles that lie on the inner side of the parallel lines but on the opposite sides of the transversal are known as the alternate interior angles.
Answer:
y = 0.15x+19 and
67.75
Step-by-step explanation:
Let us assume y for total cost and x no of miles.
Then x and y are related by a straight line.
Two points lying on the line are
(250,56.50) and (400,79)
Use two point formula
y-56.50/(79-56.50) = x-250/(400-250)
y-56.50 = 22.5(x-250)/150
y = 22.5x/150 -37.50+56.50
Or y = 0.15x+19
To find out cost for 325 miles:
x=325
y= 0.15(325)+19
= 48.75+19
=67.75
Answer: she had 18 nickels and 7 dimes.
Step-by-step explanation:
The worth of a dime is 10 cents. Converting to dollars, it becomes
10/100 = $0.1
The worth of a nickel is 5 cents. Converting to dollars, it becomes
5/100 = $0.05
Let x represent the number of dimes that she has in her coin purse.
Let y represent the number of nickels that she has in her coin purse.
Alison has 1.60 worth of nickels and dimes in her coin purse. This means that
0.1x + 0.05y = 1.6 - - - - - - - - - - - 1
She has 11 more nickels than dimes. It means that
y = x + 11
Substituting y = x + 11 into equation 1, it becomes
0.1x + 0.05(x + 11) = 1.6
0.1x + 0.05x + 0.55 = 1.6
0.15x = 1.05
x = 1.05/0.15
x = 7
y = x + 11 = 7 + 11
y = 18