Answer:
C 36
Step-by-step explanation:
1/2(base)(height)
1/2(8)(9)
1/2(72)
=36
Answer:
$1679.175 or $1679.18
Step-by-step explanation:
split the carpet into rectangles to make it easier to look at
one rectangle is 2 yards in height and 9 yards in width (5 yards plus 4 yards)
area of a rectangle = (w)(h), so 9 x 2 = 18 yards in area.
second triangle is 4 yards in width, and 3 yards in height.
area of a rectangle = (w)(h), so 4 x 3 = 12 yards in area.
Total area = 30 yards
30(21.95)(2.55) = $1679.175 or $1679.18
In order to solve this problem, we transform the statements into
algebraic expressions. First, we assign the variables.
Let:
x = Gina’s number
y = Sara’s number
For the first equation, we show that Gina’s number is greater
than Sara’s number by 2. For the second equation, we show that the sum of both
numbers is 68.
<span>(1)
</span>x – y = 2
<span>(2)
</span>x + y = 68
<span>We
add the two expressions, which result in the expression: 2x = 70. Then we
divide 70 by 2 to get the value of x. We then have x = 35. Using the second
equation, we solve for y = 68-35. This gives y = 33. To summarize, Gina’s
number is 35 while Sara’s number is 33.</span>
Step-by-step explanation:
100+10+4+6
4+6=10
10+10=20
100+20=120
Answer: 120
9514 1404 393
Answer:
- red division: 6 teams
- blue division: 5 teams
Step-by-step explanation:
We can let r and b represent the numbers of teams in the red and blue divisions, respectively. The total number of goals scored in each division will be the average for that division times the number of teams in that division.
r - b = 1 . . . . . . there is 1 more red team than blue
4.5r +4.2b = 48 . . . . . . total goals scored per week
__
Solving by substitution, we have ...
r = b +1
4.5(b +1) +4.2b = 48 . . . . substitute for r
8.7b +4.5 = 48 . . . . . . . . simplify
8.7b = 43.5 . . . . . . . . . . subtract 4.5
b = 43.5/8.7 = 5 . . . . . divide by 8.7
r = b +1 = 6 . . . . . . . . . find r
There are 6 red teams and 5 blue teams.
_____
<em>Additional comment</em>
The basic idea is that you make an equation for each relation given in the problem statement. For a problem like this, you do need to have an understanding of how the average number of goals would be calculated and how that relates to the total goals.
