(200/250)×100 = 80%
100 - 80 = 20%
<em>hope </em><em>it </em><em>helps</em><em>.</em><em>.</em><em>.</em><em>!</em><em>!</em><em>! </em>
Answer:
k=4
Step-by-step explanation:
-127=2k-5(5k+7)
Distribute the -5 to the 5k and 7 to give you -25k - 35
-127=2k-25k-35
Combine like terms (2k - 25k)
-127=-23k - 35
Add 35 to both sides
-92=-23k
Divide both sides by -23
k=4
Answer:
86
Step-by-step explanation:
the rectangle portion is 18*4= 72
1 triangle portion is 1/2bh where the base is 4 and height is 3.5
1/2*14=7
the 2nd triangle as the same proportions, so it is also 7
72+7+7=86
Answer:
The sum of money received by Ali, Carrie and Bryan is $ 740.
Step-by-step explanation:
At first we translate mathematically each sentence:
(i) <em>Ali, Carrie and Bryan received a sum of money. </em>
- Ali's money.
- Bryan's money.
- Carrie's money.
(ii) <em>Bryan's money was </em>
<em> of Ali's money</em>.
(1)
(iii) <em>The ratio of Ali's money to Carrie's money was 4 : 1</em>.
(2)
(iv) <em>Ali had $ 160 more than Bryan</em>.
(3)
After some algebraic handling, we have the following system of linear equations:
(1b)
(2b)
(3b)
The solution of the system is: 
, 
, 
The sum of money is:
The sum of money received by Ali, Carrie and Bryan is $ 740.
Get the variable on one side and the numbers on the opposite side.
5x + 12 = x - 8
Let's get rid of that x on the right-hand side of the equation.
We can do this subtracting x from each side of the equation.
(5x - x) + 12 = (x - x) - 8 =
4x + 12 = -8
Let's take out the 12 so that the 4x can be alone.
We can do that by subtracting 12 from each side
4x + (12 - 12) = -8 - 12 =
4x = -20
And finally, divide the both sides by the coefficient of the 4x term. Which is 4.
4x / 4 = -20 / 4 =
x = -5
So, x is equal to -5.
