207 kilograms/ 4 kilograms = 51.75 Which would mean the truck can carry 51 bricks. There's no need to carry 3/4 of a brick.
<em>d</em> = number of dimes
<em>n</em> = number of nickels
The jar contains a total of 107 coins, so
<em>d</em> + <em>n</em> = 107
Each dime is worth $0.10 and each nickel is worth $0.05, and the jar contains a total value of $6.70, so
0.10<em>d</em> + 0.05<em>n</em> = 6.70
Multiply both sides of the second equation by 100 to eliminate the decimal points:
10<em>d</em> + 5<em>n</em> = 670
Multiply both sides of the first equation by -5:
-5<em>d</em> - 5<em>n</em> = -535
Add the corresponding sides of these two equations to eliminate <em>n</em> and solve for <em>d</em> :
(10<em>d</em> + 5<em>n</em>) + (-5<em>d</em> - 5<em>n</em>) = 670 + (-535)
(10 - 5)<em>d</em> + (5 - 5)<em>n</em> = 670 - 535
5<em>d</em> = 135
<em>d</em> = 135/5 = 27
Then
<em>n</em> = 107 - <em>d</em> = 80
so the jar contains 27 dimes and 80 nickels.
Answer:
38.4%
Step-by-step explanation:
1. To convert this decimal into a percent, we have to multiply it by 100. Then, we'll get the percentage.
2.
- 38.4%
Therefore, the answer is 38.4%.
We know that the x-ordinate of the vertex is x = 4, because the x-ordinate of the vertex will not change.
Now, the definition of a parabola in locus terms is that for any fixed point that lies on the parabolic shape, it is equidistant from the directrix to the fixed point and the focus to the fixed point.
Thus, we can deduce that:
PS = PD, where P(x, y) is a moving point that lies on the parabola.
Now, we know that the latus rectum will be -4a, because the directrix is higher than the y-ordinate of the focus. Thus, we can say that the vertex will be the midpoint of the two points y = 7 and y = 8, because that is the only place where the definition of a parabola works.
Hence, we can say that the vertex lies at (4, 7.5).
Thus, our general form becomes:
(x - 4)² = 4a(y - 7.5)
To find a, we can say: 7 = 7.5 + a and 8 = 7.5 - a
a = -0.5, because a is the factor in which we move to find the directrix and focus.
Thus, our equation becomes: (x - 4)² = -2(y - 7.5)
The symbol is ">" (not "≥") so the line is dashed, not solid.
A solid line is used to indicate the boundary line is part of the solution, as it is in the "or equal to" case.
