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Fifty-six dog biscuits are to be given to ten pets. Each pet is either a cat or a dog. Each dog is to be given six biscuits and each cat is to be given five biscuits. How many dogd are there?
ubes of a metal whose edges are in the ratio 3:4:5 are melted and converted into a single cube whose diagonal is 12root3 cm. find the edges of the three cubes.
If an object is thrown straight up into the air with an initial velocity of 128 feet per second, then its height above the ground at any time t is given by the formula h = 128t - 16t2.
Profit for each big shelf is $85 and for each medium shelf is $75. What is the constraint on money to invest?
An apartment complex can rent all 150 of its one-bedroom apartments at a monthly rate of $400. For each $10 increase in rent, 3 additional apartments are left unoccupied. At what monthly rate should each apartment be rented in order to maximize th..
A box with a square base has length plus girth of 104 in. (Girth is the distance "around" the box.) What are the two possible lengths of the box, if its volume is 2000 in3? what is the smallest and largest length.
You have 80 yards of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?
A total of 255 tickets were sold for the school play. They were either adult tickets or student tickets. the number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
Graphing the trigonometric function.
The ground speed of the plane is the magnitude of the resultant. Find the true course and the ground speed of the plane.
A ski-run follows the curve of y=0.01x^2 - 0.6x + 9 from x=0 meters to x=30 meters. What is the angle between the ski-run and the horizontal where x=10?
Two regular pentagons have areas of 20 mm² and x² - x mm². What values of x make the pentagons congruent?
Find and interpret the margin of error for a 95% confidence interval for the population proportion of Americans who believe in heaven.
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