Answer:
x = 18 y = 10
Step-by-step explanation:
let the first number be x
let the second number be y
x = y + 8..... equation 1
2x + y = 46.... equation 2
x is the larger number
y is the smaller number.
Rearrange the equation and add equation 1 to equation 2.
x - y = 8
+ 2x + y = 46
-------------------
3x + 0 = 54
3x = 54
divide both sides by 3
x = 54/3
x = 18
Substitute x = 18 into equation 1
x = y + 8
18 = y + 8
collect like terms
y = 18-8
y = 10
Answer:
<h2>(4x+z)=13000------1</h2><h2>(4x+z)13000=503000----2</h2>
Step-by-step explanation:
let x be the number of seats in A,
y be the number of seats in B, and
z be the number of lawn seats.
y=3x
the total number of seats is given by
(x+y+z)=13000
put y=3x
(x+3x+z)=13000
(4x+z)=13000------1
also
(4x+z)13000=503000----2
hence the systems of equation is
(4x+z)=13000------1
(4x+z)13000=503000----2
The distance is 8, since the x co-ordinate stays 5, the y co-ordinate goes from 10 to 2, which is an 8 distance
For this case we have the following numbers:
299
388
Let's round up each of the numbers to the nearest hundred,
We have then:
299 = 300
388 = 400
We note that now we have two numbers whose approximation is easier to add.
We have then:
300 + 400 = 700
Answer:
The sum of 299 + 388 is approximately:
700
Answer:
-2-2√3, -2+2√3
Step-by-step explanation:
Let x represent one of the numbers. Then the other number is -4-x. We want the product to be -8:
x(-4-x) = -8
-4x -x^2 = -8 . . . . . eliminate parentheses
x^2 +4x = 8 . . . . . . multiply by -1
x^2 +4x +4 = 12 . . . add 4 to complete the square
(x +2)^2 = 12
x +2 = ±√12 = ±2√3
x = -2±2√3
The two numbers are -2-2√3 ≈ -5.4641, and -2+2√3 ≈ 1.4641.
