Answer:
Ben' share = 2(600/5) = $240
Step-by-step explanation:
Let the sum of money be x
Given that the ratio between Ali and Ben is 3:2
As adding both parts of ratio gives 5 parts so,
For finding one part = x/5
So according to given condition:
Ali's share(one part) + Ben's share(one part) = 120
3(x/5) - 2(x/5) = 120
By simplifying:
x/5 = 120
Multiplying both sides by 5
x = 600
So the total amount is 600
Ali's share would be = 3(600/5) = $360
Ben' share = 2(600/5) = $240
i hope it will help You!
Given:
The expressions are:
and
To find:
The difference of and .
Solution:
Difference of and is written as:
On simplification, we get
Therefore, the difference of and is .
Answer:
x>-9
Step-by-step explanation:p
1.) Subtract 1 from both sides
-2/3x+1<7
-1<-1
= -2/3x < 6
2.) Multiple the 3 (denominator) in order to get rid of the fraction
3(-2/3x) < (6)3
= -6/3x < 18 (simplify the 6/3 into 2)
= -2x < 18
3.) Divide by -2 (when you divide with a negative number, your sin is going to switch, meaning it will turn into a '>' sign)
-2x / -2 < 18/-2
= x > -9
*ALSO*
If you want to graph it on a number line, it would look something like the picture above. (the circle is open because it doesn't have the line underneath. You're symbol also indicates which way you shade!! < = left .....> = right.....think of them like arrows :) )
Answer:
Length = 8
width =
Step-by-step explanation:
let width be equal to x and length be equal to x+5.
area = x(x+5)
if we add 5 to each side, area becomes 4 times bigger.
(x+5)(x+10)
set them equal to each other.
4(x(x+5)=(x+5)(x+10)
solve for x.
x=;x=-5
since you know you can't have a side that has negative values, it has to be x=
Answer:
on the interval 0 ≤ θ <2π
Step-by-step explanation:
We have
We use the Pythagorean identity and substitute
Factor to get: