Answer:
x=40
Step-by-step explanation:
Both angles are equal. So the equation needs to equal 156.
Just plug in points for x until the answer is 156.
In this case, when we plug in 40, it works!
Answer:
- 525 = (w+4)(w)
- 21 ft by 25 ft
Step-by-step explanation:
Let w represent the width of the floor. Then the length of the floor is (w+4) and its area is ...
A = LW
525 = (w+4)(w)
w^2 +4w -525 = 0
(w -21)(w +25) = 0 . . . . factor the above
Solutions are ...
w = 21, w = -25
We are interested in the positive solution: w = 21.
The floor is 21 feet wide and 25 feet long.
_____
<em>Alternate solution</em>
Sometimes, when the factors aren't obvious, it works well to write an equation for the average of the dimensions. Here, we can represent that with x, and use (x-2) for the width, and (x+2) for the length. Then we have ...
525 = (x-2)(x+2) = x^2 -4
529 = x^2
√529 = 23 = x
Then w=23 -2 = 21, and the length is w+4 = 25.
The answer is 12 divide 168 by 14 to get 12.
This question is incomplete
Complete Question
A school held several evening activities last month—a music concert, a basketball game, a drama play, and literacy night. The music concert was attended by 250 people. How many people came to each of the other activities?
Attendance at the drama play was 140% of attendance at the concert. How many people came to the drama play?
Answer:
350 people
Step-by-step explanation:
Percentage of people that attended a drama play =
Number of people that attended the drama play/Total number of people at the concert × 100
Attendance at the drama play was 140% of attendance at the concert.
The music concert was attended by 250 people
Let the number of people that came to the drama play = x
Hence:
140% = x/250 × 100
140/100 = x/250
Cross Multiply
140 × 250 = 100 × x
x = 140 × 250/100
x = 350 people
Therefore, the number of people that came to the drama play = 350 people
Answer:
33/36
Step-by-step explanation:
take 0.75 x 4 = 3
then take
11 x 3 = 33
total score = 36
36 - 3 = 33
so the answer is 33/36
