If D is the midpoint of GH, then GH equals 2(DH) = 16
16 = 4x - 1
4x = 17
x = 17/4
x = 4.25
We can model this situation as a system of linear equation, where n is the number of nickels and q is the number of quarters.
Solving the system of equations, there are 67 nickels and 19 quarters.
His assistant would have to take 4 hour 30 minutes while Mr. Itol would take 1 hour 30 minutes.
Answer:
The converse is:
if the ratio of lefties to righties is 1 : 8, then for every 3 left handed people, there are 24 right handed people.
The truth value is:
True
Step-by-step explanation:
The statement can be split into:
p -> If a class has 3 left-handed people and 24 right-handed people,
q -> the ratio of lefties to righties is 1:8
The converse of a conditional statement is:
if q then p
So, we have the converse to be;
if the ratio of lefties to righties is 1 : 8, then for every 3 left handed people, there are 24 right handed people.
The truth value.
For p, we have.
Ratio = 3 : 24
This can be simplified to.
Ratio = 1 : 8
For q, we have:
Ratio = 1 : 8
<em>Since both are true, then the truth value is true</em>
Let x = price of shoes
Then price of jacket would be x - 5.81
Combining the two would give you
x + x - 5.81 = 99.15
combining like terms simplifies to 2x - 5.81 = 99.15;
now adding 5.81 to both sides of the equal sign leaves
2x = 104.96
and finally, dividing both sides by 2, gives x = $52.48; which is the cost of the shoes. Recall, the cost of the jacket is 5.81 less than the cost of the shoes.
so, COST OF THE JACKET is 52.48 - 5.81 = $46.67
