Answer:
there is no solution for these linear equations in two variables.
since a1 (y) = a2 (y)
b1 (5x) = b2 (5x)
but, c1 (12) not equal to c2 (18)
Answer:
......................
7(x+3)
Step-by-step explanation:
....
Answer:
A) 264 ft^2, 4 gallons
Step-by-step explanation:
Area of rectangle = 12 ft x 18 ft = 216 ft^2
Area of triangle = 1/2 (28- 18)(12) = 1/2(10)(12) = 60 ft^2
Area of window: 3 ft x 4 ft = 12 ft^2
Areas will be painting = (216 + 60) - 12 = 264 ft^2
1 gallon of paint will cover 70 ft^2 so 264 ft^2 / 70 ft^2 = 3.77 gallons
So Mr. Williams will need 4 gallons of paint to cover 264 square feet of his barn
Answer:
Number of positive four-digit integers which are multiples of 5 and less than 4,000 = 600
Explanation:
Lowest four digit positive integer = 1000
Highest four digit positive integer less than 4000 = 3999
We know that multiples of 5 end with 0 or 5 in their last digit.
So, lowest four digit positive integer which is a multiple of 5 = 1000
Highest four digit positive integer less than 4000 which is a multiple of 5 = 3995.
So, the numbers goes like,
1000, 1005, 1010 .....................................................3990, 3995
These numbers are in arithmetic progression, so we have first term = 1000 and common difference = 5 and nth term(An) = 3995, we need to find n.
An = a + (n-1)d
3995 = 1000 + (n-1)x 5
(n-1) x 5 = 2995
(n-1) = 599
n = 600
So, number of positive four-digit integers which are multiples of 5 and less than 4,000 = 600
Answer:
52 in approx
Step-by-step explanation:
Given data
Length of TV= 42 in
Widht of TV= 31 in
Required
The diagonal of the TV
Applying the Pythagoras theorem
D^2= L^2+W^2
D= √L^2+W^2
D= √42^2+31^2
D=√1764+961
D=√2725
D=52.20 in
Hence the diagonal of the Tv is 52 in approx
