We want to find word problems that gives rise to the following systems of algebraic equations.
a)
x+y=13
x-y=1.
Answer: The sum of the ages of two students is 13. The difference between their ages is 1. Find the ages of the two students.
b)
3x-30y=15
2x+10y=40
Answer:
The difference between 3 times Dan's age and 30 times Mark's age is 15. If the sum of 2 times Dan's age and 10 times Mark's age is 40. Find the ages of Dan and Mark.
c)
8x+3y=37
8x-3y=50
Answer:
The sum of 8 times an eagle's distance above sea level in feet and a herring's distance below sea level is 37 feet. The difference between 8 times an eagle's distance in feet above sea level and 3 times the herring's distance below sea level is 50. Find the distance of the eagle and the herring relative to the surface of the sea.
d) x-5y=4
3x+5y=32
The difference between a pig's age and 5 times the age of a piglet is 4 years. If the sum of 3 times pigs and 5 times the piglet's age is 32 years, find the ages of the pig and its piglet.
Answer:
4x + 1
Step-by-step explanation:
by using the distributive property (images)
so it would be 1/2*8x + 1/2*2
Answer:
11.89
Step-by-step explanation:
let x be the increases length
now (6.4+x)(4+x)(10.5+x) = 2*250
solving this we get x = 1.39
so the largest dimension is 10.5+ 1.39 = 11.89
Answer:
The product of 16 and 26 would be 16 * 26
Step-by-step explanation:
This is because "the product of" means multiplication so *. Making it 16 * 26.
Given:
Width of rectangular prism = 20 ft
height of rectangular prism = 12 ft
Length of rectangular prism = 45 ft
Cylindrical diameter = 20 ft
To find:
Volume of the tent
Solution:
Volume of the rectangular prism = length × width × height
= 45 × 20 × 12
Volume of the rectangular prism = 10800 ft³
Radius of cylinder = 20 ÷ 2 = 10 ft
Height of cylinder = length of rectangular prism
Volume of cylinder = 
Volume of half cylinder = 
Volume of half cylinder = 7069.5 ft³
Volume of tent = volume of rectangular prism + volume of half cylinder
= 10800 ft³ + 7069.5 ft³
= 17869.5 ft³
= 17869 ft³ (nearest cubic foot)
The volume of the tent is 17869 cubic feet.
