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vladimir1956 [14]
3 years ago
9

On a given day at a local amusement park, 77% of those in attendance rode the roller coaster. There were 1,200 people at the par

k that day.
How many people rode the roller coaster?

52 people

276 people

924 people

1,148 people
Mathematics
1 answer:
Svetach [21]3 years ago
5 0

924

77% of 1200 is 924

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The dimensions of a rectangle are x+3 and x+4. The area of the rectangle is 72. Set up an equation that models this rectangle an
vodomira [7]

Answer: x = 5

Step-by-step explanation:

The area of a rectangle is the length times the width. Since the dimensions are given as functions of x, youre going to have to use FOIL to combine them, then set that answer equal to the given value of 72.

l*w = (x+3)*(x+4) = x^2 + 7x +12 = 72

Subtract 72 on both sides. There is a reason why we'll do this instead of subtracting 12. The quadratic formula will help us to solve for x.

x^2 + 7x - 60 = 0

Apply the quadratic formula

\frac{-7 (+/-)\sqrt{7^2-(4)*(1)*(-60} }{2*1} =\frac{-7(+/-)17}{2}

We cant have a negative x value because that would result in negative dimensions and a negative area, which is impossible in this context. So you want to add the 17 instead of subtracting it.

x = 5 and x = -12

An alternate way is just factoring the trinomial to:

(x+12)(x-5) = 0

3 0
3 years ago
50
Yanka [14]

Answer:

30

Step-by-step explanation:

7 0
3 years ago
One month Ivanna rented 7 movies and 9 video games for a total of $80. The next month she rented 5 movies and 3 video games for
ZanzabumX [31]

Answer:

each movie costs $2.75, each video game costs $6.75

Step-by-step explanation:

x = movies, y = video games

7x + 9y = 80

5x + 3y = 34

simplified to

x = 11/4 , y = 27/4

5 0
3 years ago
PLEASE HELP NOW!!!
Luden [163]

9514 1404 393

Answer:

  sometimes

Step-by-step explanation:

4 + 7 = 11 . . . not a multiple of 7

28 + 7 = 35 . . . a multiple of 7

If you add a multiple of 4 and a multiple of 7, the sum is <u>sometimes</u> a multiple of 7.

__

It will be a multiple of 7 when the multiple of 4 used is a multiple of 7, such as 4×7 or 4×14 or 4×21, for example.

5 0
2 years ago
Michael works 30 hours per week and makes $15.00 per hour. How much does he make in a 4-week month?
Wewaii [24]

Answer:

$1,800

Step-by-step explanation:

If Michael works 30 hours a week for $15 an hour we can use the equation:

15 x 30 = 450.

Now just multiply the given answer by 4 and you're left with:

450 x 4 = 1800.

4 0
2 years ago
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