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mezya [45]
3 years ago
13

The national mall is approximately 6,400,000 ft.². If an event organizer estimate the density at 4 ft.² per person, approximatel

y how many people are attending the event on the mall?
Mathematics
1 answer:
Naddika [18.5K]3 years ago
3 0

Answer:

1,600,000

Step-by-step explanation:

divide 6,400,000 by feet per person

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You can jog around the block twice and the park once in 10 min. You can jog around the block twice and the park 3 times in 22 mi
stich3 [128]
B = block     p = park

2b + p = 10 min                2 runs around the block takes 10 minutes
2b + 3p = 22 min        2 runs around the block plus 3 runs around the park                                                       takes 22 minutes

To solve, I will use substitution. First, I will divide the first equation by 2 to get b by itself and subtract p from both sides to get b by itself. Then, substitute 5 - 1/2p in for b in the second equation because they have equal values. Then, subtract 10 from both sides to eliminate it. Divide by 2 to both sides to get 'p' by itself.

2b + p = 10 min ---------→b + 1/2p = 5 ----------→ b = 5 - 1/2p

2(5 - 1/2p) + 3p = 22 ---------→ 10 -p + 3p = 22 --------→ 10 + 2p = 22

10 + 3p = 22 ----------→ 2p = 12

2p = 12 -------------→ p = 6

It takes 6 minutes to jog around the park

Hope this helps!
6 0
3 years ago
M(x) = 4x + 15; m(x) = 7
stealth61 [152]

Hi there! :)

\huge\boxed{x = -2}

m(x) = 4x + 15

Find the value of "x" that would satisfy m(x) = 7:

4x + 15 = 7

Subtract 15 from both sides:

4x = -8

Divide both sides by 4:

x = -2.

7 0
3 years ago
The diagram shows a square with perimeter 20 cm.
olga_2 [115]

The percentage of the area inside the square that is shaded is 55%.

<h3>What is the perimeter of the square?</h3>

Given:

The perimeter of the square is 20Cm

Each side of the square is = 5Cm

Area = ( Length x Width )

(5 x 5) = 25 =Area

Area = 25

Area of triangle 1 = (1/2) x 5 x (5 - 3) = 5 cm²

Area of triangle 2 = (1/2) x 5 x (5 - 3.5) = 6.25 cm²

Area of shaded portion = 25 - (5 + 6.25) = 13.75 cm²

Percentage of shade portion

= (13.75 cm² / 25 cm²) x 100%

= 55%

The percentage of the area inside the square that is shaded is 55%.

Learn more about area;

brainly.com/question/14297327

#SPJ1

8 0
1 year ago
Slope intercept form for (2,3) and (-1,6)
olga_2 [115]

Answer:

the answer is y=-x+5

Step-by-step explanation:

I hope this helps! :)

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

7 0
3 years ago
Which of the following choices are contained in the figure below? Select all that apply:
Yuri [45]

Answer: 1 and 3

Step-by-step explanation: math is easy

3 0
3 years ago
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