9514 1404 393
Answer:
- $1000
- $600
- $250
Step-by-step explanation:
Let t represent the third-place prize value. Then the first place prize has a value of 2t+500, and the second-place prize is 2t+100. The total value of the three prizes is ...
t +(2t+500) +(2t+100) = 1850
5t +600 = 1850
5t = 1250
t = 250 . . . . . . . . . . . third place prize
2t +500 = 1000 . . . . first place prize
1000 -400 = 600 . . .second place prize
The prizes for 1st, 2nd, and 3rd places are $1000, $600, and $250, respectively.
9514 1404 393
Answer:
Part A: 2 f2
Part B: draw a diagonal (AC, for example); 1 f12
Step-by-step explanation:
Part A:
The area of a parallelogram is given by the
formula
A=bh
where "b' is the length of the base, and 'h' is the
perpendicular distance between the bases.
Using the numbers shown on the diagram, the
area is
A = (3 ft)(2/3 ft) = 3-2/3 f12
A =2 ft2..... area of the parallelogram
Part B:
Typically, a polygon is partitioned into triangles
by drawing diagonals from one of the vertices. It
does not matter which one. (In a quadrilateral,
only one diagonal can be drawn from any given
vertex.) Here, the "base" of each triangle is the
same as the base of the parallelogram: 3 feet.
The "height" of each triangle is the same as the
height of the parallelogram: 2/3 ft.
The area of a triangle is given by the formula
Answer:
998.
Step-by-step explanation:
Just get rid of the negative sign
Answer:
see below
Step-by-step explanation:
3r=2
We know that r must be less than 1 because we are multiplying 3 by a number and getting 2
Taking a larger number and multiplying by r and getting a smaller number means the number must be less than 1
Divide each side by 3
3r/3 = 2/3
r = 2/3
2/3 is less than 1
