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amm1812
3 years ago
14

A zoo is running a promotion in which every 30th person through the gate receives a free tote bag , and every 80th person receiv

es a free pass. Which person through the gate will be the first to receive both a tote bag and a pass to the zoo?
Mathematics
1 answer:
Fittoniya [83]3 years ago
8 0

Answer:

240

Step-by-step explanation:

Find the least common multiple of 30 and 80

30, 60, 90, 120, 150, 180, 210, 240, 270, 300

80, 160, 240, 320, 400

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The area of a door is 3024 square inches. If
olasank [31]

Answer:

Lets take all factors into consideration first

The door is a rectangle and the area of a rectangle is length times width

Let the width be w

Let the length be l

Equation length × breadth = area

(w+48)w = 3024

w^2 + 48w = 3024

w^2 + 48w - 3024 = 0

w^2 + 84w - 36w - 3024 = 0

w(w + 84) -36 ( w + 84) = 0

(w + 84) (w - 36) = 0

w + 84 = 0 AND w - 36 =0

w = -84 and w = 36

Since width cannot be negative, the right answer is 36

How did I get 84 and 36? Well, I had to factorize 3024 and since 84 times 36 is 3024 and 84 minus 36 is 48, I chose them.

7 0
3 years ago
the area of australia is 2.95 x 10^6 square miles. what's the approximate average number of people per square mile in Australia?
Klio2033 [76]
Its approximately 7 people per square mile
8 0
3 years ago
Read 2 more answers
Which of the following statements are true about the diagram ? Please choose correct answers !!!!! Will mark Brianliest !!!!!!!!
Luden [163]

Answer:

It's none of the above

Step-by-step explanation:

GK is //

Both G & K are most definitely not the midpoints

G not the vertex of the right angle

5 0
2 years ago
Whats the area of a quarter-circle with diameter of 4 meters
kkurt [141]
The answer is 3.14 m

The area (A) of the circle with radius r is: A = π · r²
The area of the quarter of the circle is: A1 = 1/4A = 1/4 · π · r²

We have:
A1 = ?
r = ?
π = 3.14
d = 4 m

A diameter d is the twice of the radius r: d = 2r.
Therefore, the radius is the half of the diameter: r = d/2
So, the area of the quarter circle would be:
A1 = 1/4 · π · r² = 1/4 · π · (d/2)² =1/4 · π · d²/2² = 1/4 · π · d²/4 = 1/16 · π · d²

A1 = 1/16 · π · d² = 1/16 · 3.14 · 4² = 1/16 · 3.14 · 16 = 3.14 m
5 0
3 years ago
Read 2 more answers
Help me on math please really need help
Zanzabum
If the height was 10, then the volume of the cube would be 1000 because you find volume you must multiply the length*width*height and the value of those three is 10. 
Now since volume is 1000 and the volume of a 2in cube is 8 (again, lwh=V) you can divide 1000 by 8 and you would get 125. So that means 125 2in cubes can fit inside the bigger cube.

If the volume of this cube were 750in^3 and you had to find the height, you would use the Volume formula again:
l*w*h=V
10*10*h=750
20h=750
((divide both sides of the equation by 20 to find the value of h))
h=37.5

If the surface area of the cube were 680in^2 then you would use the surface area formula to find the value of h:
(2(lw))+(2(lh))+(2(wh))=A
(2(10*10))+(2(10h))+(2(10h))=680
200+20h+20h=680
subtract 200 from both sides of the equation:
40h=480
divide both sides by 40 to get the value of h:
h=12
5 0
3 years ago
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