7. Solve the following problems. Find two positive integers such that the sum of the first number and four times the second number is 1000 and the product of the numbers is as large as possible.

Q: There are some apples and oranges in a fruit basket. If Eve eats 2 apples, the number of apples left…

A: Let x be the number of apples and y be the number of orange inthe fruit basket.

Q: Find three positive numbers whose sum is 12 and whose sum of squares is as small as possible

A:

Q: Peter has some candies. He places 2/3 of his candies equally into 12 small boxes, and the rest…

A: Let Peter have x candies in total.

Q: A landscaping company is hired to mow the grass for several large properties. The total area of the…

A: Solution: Given data: The total area of the properties combined is=  1,350 acres The rate at which…

Q: Solve for r. 9. 10 3.

A:

Q: The sum of a number and its is always zero.

A: It is known that a+-a=0 for all real numbers.

Q: Solve. 40 8 .2. -16 X-4 x+4

A:

Q: Solve for x: 11 + 5x+ 2 = 33

A: 11+5x+2=33

Q: I am a two-digit number whose digit in the tenth place is 1 less than twice the digit in the ones…

A: Assume that the digit at ones place be ‘x’ and the digit at tens place be ‘y’. the given information…

Q: Suppose the value of a car V is related to the number of years since its purchase by the formula V =…

A: Here the value of car  is given V = 25000-2100n After 5 year then n = 5

Q: Suppose that Mario owns a company that rents moving vans. Mario’s customers pay $22 per day to rent…

A: Solution

Q: 5. Solve each of the following equations for x: a. 3x+7=9x+1 b. 16+3 64*-5 =

A: Use the exponent rules: 1). amn=am·n 2). If am=an then m=n.     (a). The given equation is:…

Q: A cyclist takes 4 hours to travel from Town A to Town B. The cyclist's average speed for the first…

A:

Q: A cyclist takes half the cyclist's average speed for the second hour, and the cyclist's average…

A: A cyclist take 4 hours to travel from town A to town B.  Let the cyclist's speed in first hour be x.

Q: Find the product of the difference between A and B and the sum of C and D.

A: Given: A=1001, B=100-1, C=-1001, D=-100-1 To find: A-B×C+D

Q: A cyclist takes 4 hours to travel from Town A to Town B. The cyelist's average speed for the first…

A:

Q: The product of two consecutive positive odd integers is 399. The two integers are and Enter the…

A:

Q: The following transformation was performed on C(5, -4). Fill in the blanks below to show the new…

A: given points (5,-4) and  transformation :(x,y)→(x+1,y+3)

Q: Distribute $1000 into 3 parts so that one part will be three times as large as the second and the…

A: GivenTotal distribute=$1000