<h3><u>The value of the greater number is 15.</u></h3><h3><u>The value of the smaller number is 7.</u></h3>
x = 2y + 1
3x = 5y + 10
Because we have a value for x we can plug this value in to find the value of y.
3(2y + 1) = 5y + 10
Distributive property.
6y + 3 = 5y + 10
Subtract 5y from both sides.
y + 3 = 10
Subtract 3 from both sides.
y = 7
We can plug this value back into the original equation to find the value of x.
x = 2(7) + 1
x = 15
The slope of the given line is -1/3. The perpendicular line's slope is the opposite reciprocal of the given line's slope. So, the perpendicular line's slope is 3. Then we have slope intercept form y=mx+b
y=3x+b
We don't know "b" which is the y-intercept for this equation, but we have the coordinates (6, -1). We can use these to find the slope by plugging them into the equation.
-1=3(6)+b
-1=18+b
-1-18=18+b-18
-19=b
So, the resulting y-intercept is -19.
The final perpendicular equation would be y=3x-19
Given:
It is given that
Probability of winning $ 0 = 
Probability of winning $ 100 = 
Probability of winning $ 200 = 
Probability of winning $ 500 = 
To find the probability of not winning a cash prize.
Explanation:
Not winning cash prize = winning $ 0
So,
Probability of not winning a cash prize
= Probability of winning $ 0
= 
Therefore,
The probability of not winning a cash prize is
. Option D.
I am pretty sure the answer is: 1.79%
To answer this we will find the unit rate by dividing. Lets do it:-
10.43 ÷ 7 = 1.49
1 pound of grapes = $1.49
CHECK OUR WORK:-
1.49 × 7 = 10.43
we were RIGHT!!!
Now lets multiply to see how much 3 pounds would cost.
1.49 × 3 = 4.47
CHECK OUR WORK:-
4.47 ÷ 3 = 1.49
We were RIGHT!!
So, 3 pounds of grapes cost $4.47.
Hope i helped ya!!