Answer:
Step-by-step explanation:
Let x be the amount of 15% of gross income.
Given:
Jessica gross income = 48,960.00
She decided to use 15% amount as down payment.
We need to find the amount of 15% of gross income.
Solution:
Using percentage formula.
Now we substitute 15 in the place of percentage and 48,960 in the place of Total value.
Now, we apply cross multiplication rule.
Therefore: Down payment is 7,344.
<em>x = 9</em>
<em>y = 0</em>
- Step-by-step explanation:
<em>y = -2x + 18 </em>
<em>4y - x + 9 = 0</em>
<em />
<em>4(-2x + 18) - x + 9 = 0</em>
<em>- 8x + 72 - x + 9 = 0</em>
<em>- 9x + 81 = 0</em>
<em>81 = 9x</em>
<em>x = 81 : 9</em>
<em>x = 9</em>
<em />
<em>y = - 2×9 + 18</em>
<em>y = - 18 + 18</em>
<em>y = 0</em>
Answer:
x = 20
Step-by-step explanation:
For the lines to be parallel, the angles have to be equal
2x+15 = 55
Subtract 15 from each side
2x+15-15 = 55-15
2x = 40
2x/2 = 40/2
x = 20
To find the probability of drawing certain colour of balls, we first need to find the total number of balls:
5 + 7 +5 = 17
<u>For the number of red balls that need to be added</u>
The original probability of drawing a red ball:
red ball/ total number of balls
= 5/17
To find the number of balls required, we can set an equation.
Let the number of red balls that need to be added be x.
5+x / 17+x = 5/6
(5+x) x 6 = (17+ x) x5
30 + 6x = 85 + 5x
6x - 5x = 85 - 30
x = 55
Therefore, <u>55</u> red balls need to be added.
<u>For the number of black balls that need to be added</u>
The original probability of drawing a white ball:
white ball/ total number of balls
=5/17
To find the probability required, we can set an equation.
Let the number of black balls that need to be added be y.
5/ 17 + y = 1/6
5 x 6 = 17 + y
30 = 17 + y
30 - 17 = y
y = 13
Therefore, <u>13</u> black balls need to be added.
Hope it helps!
