Answer:
5. You can round question a up to 100 + 55 (then do the counting)
5. You can round question b up to 245 - 100 (then do the counting)
You can round question c up to 100 x 5 (then do the counting)
You can round question d up to 100 x 20 (then subtract accordingly)
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The equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.
<h3>What is the area of the rectangle?</h3>
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have:
A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6ft rectangular track along the walls of the gym and has an area of 7000ft²
Let x be the width of the rectangle.
As the area of track along the walls of the gym is 7000ft²
(x - 12)(3x - 12) = 7000
After simplifying:
3x² - 48x + 6856 = 0
Thus, the equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.
Learn more about the rectangle here:
brainly.com/question/15019502
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A) 3000 * 0.5 = 1500 minutes, or 25 hours.
b) 10,000 * 0.5 = 5000 minutes, or 83 hours and 20 minutes
c) she works 2 hours a weekday. 2 hours = 120 minutes. It takes her 83 hours and 20 minutes to finish a 10,000 piece puzzle. It will take her 42 weekdays to finish this. Jan 15, 2020 is a Wednesday. She will finish it on March 12, 2020.
*** I would double check my answers to make sure I didn’t make a mistake
The ratio 1:50 means that an ant can carry an object heavy 50 times its mass.
So, if the mass of the ant is 0.4 grams, it can carry at most 50 times that mass, i.e. 50x0.4 = 20 grams
In order to answer the second question, you need to consider your mass and multiply it by 50: if you were as strong as an ant, you could lift that weight!
Answer:
16π ≈ 50.27 square units
Step-by-step explanation:
The equation is that of a circle of radius 4. The area of a circle is given by ...
A = πr²
A = π(4²) = 16π ≈ 50.27 . . . . square units
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The equation can be put into the standard form for a circle to find its radius.
(x^2 -2x) +(y^2 +6y) = 6 . . . . collect variable terms on the left
(x^2 -2x +1) +(y^2 +6y +9) = 6 + 1 + 9 = 16 . . . . . complete the squares
(x -1)^2 +(y +3)^2 = 4^2 . . . . . the radius is 4
Compare to the form ...
(x -h)^2 +(y -k)^2 = r^2 . . . . circle of radius r centered at (h, k)
