Answer:
67 students voted for the eagle
Step-by-step explanation:
The students at Woodward Elementary voted for a school mascot. The falcon won with 5/8 of the votes and the eagle came second with 1/3 of the remaining votes. If 536 students voted for a mascot, how many students voted for the eagle
Total students who voted = 536
Falcon won with 5/8 of the votes
5/8 of 536
=5/8 × 536
= 2,680/8
= 335 votes
Falcons won with 335 votes
Remaining votes = Total votes - falcons votes
= 536 - 335
= 201 votes
There are 201 votes remaining
Eagle came second with 1/3 of the remaining votes
1/3 of the remaining votes
= 1/3 × 201
= 201/3
= 67 votes
67 students voted for the eagle
Answer : B
First year : 25750 x 80% = 20600
Second year : 20600 x 80% = 16480
Third year : 16480 x 80% = 13184
Fourth year : 13184 x 80% = 10547.2
Fifth year : 10547.2 x 80% = 8437.76
Answer: c. (3, 7)
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
First, multiply straight across and put everything together:
Notice we can simplify by cancelling a b and reducing 3/12:
This cannot be simplified further.
D.
Answer:
The road width is x = 10 m.
Step-by-step explanation:
A formula for the area of the horizontal rectangle is A1 = (x)(20 m).
A formula for the small rectangle on top of that is A2 = (x)(18 - x).
The total area of the new roadway is 280 m^2.
Summing up A1 and A2 and equating the result to 280 m^2, we get:
20x + 18x - x^2 = 280
Rewriting this in the standard quadratic form:
-x^2 + 38x - 280 = 0
Here the coefficients are a = -1, b = 38 and c = -280.
The discriminant is thus b^2 - 4ac, or:
38^2 - 4(-1)(-280) = 1444 - 4(280) = 324, or 18^2.
Thus, the roots (x-values) are:
-38 ± 18
-------------- = 28 and 10
-2
Only the value x = 10 makes sense here, so we omit the other value (28).
The road width is x = 10 m.
x = ----------------------
