Answer:
12
Step-by-step explanation:
x = number of $1 bills
y = number of $5 bills
z = number of $10 bills
We know that:
x + y + z = 25 (total amount of bills)
x + 5y + 10z = 100 (total amount of money)
y = 4z (Given)
Substitute the third equation into the first one.
x + 4z + z = 25
x = 25 - 5z
Put this into the second equation.
(25 - 5z) + 5 (4z) + 10z = 100
Simplify and solve.
25 - 5z + 20z + 10z = 100
25z + 25 = 100
25z = 75
z = 3
Substitute this into y = 4z
y = 4 * 3
y = 12
So, there are 12 $5 bills.
Answer:
The required inequality is: 
Step-by-step explanation:
Consider the provided information.
Gurnaz has been mowing lawns to save money for a concert. Gurnaz will need to work for at least six hours to save enough money, but he must work fewer than 16 hours this week.
Let the number of hours Gurnaz work is represented by x.
Gurnaz will need to work for at least six hours to save enough money,
That means he can work 6 or more than 6 hours,
He must work fewer than 16 hours this week. That means the value of x should be less than 16.
Thus, the required inequality is:
Now draw the graph of the inequality.
Use a dot or close circle to represents ≤ or ≥ and use a open circle to represent < or >.
The value of x is greater than or equal to 6 also the value of x is less than 16. The required graph is shown below.
Mel should use the least common multiple to solve the problem
<u>Solution:</u>
Given, Mel has to put the greatest number of bolts and nuts in each box so each box has the same number of bolts and the same number of nuts.
We have to find that should Mel use the greatest common factor or the least common multiple to solve the problem?
He should use least common multiple.
Let us see an example, suppose 12 bolts and nuts are to be fit in 6 boxes.
Then, if we took H.C.F of 12 and 6, it is 6, which means 6 bolts and nuts in each box, but, after filling 2 boxes with 6 bolts and nuts, there will be nothing left, which is wrong as remaining boxes are empty.
So the remaining method to choose is L.C.M.
Hence, he should use L.C.M method.
The correct answer for the question shown above is: Geodesic.
The explanation of is shown below:
1. You have that ,by definition, the spherical geometry studies figures on the surface of the spheres.
2. And the termn known as "Geodesic" is define as <span>the shortest distance between two points on the surface of a sphere or a curved surface. </span>
9514 1404 393
Answer:
x = 8.2
Step-by-step explanation:
As indicated on the supplied diagram, the measure of arc GH is ...
GH = 360° -83° -115° = 162°
The inscribed angle at F is half this measure, so we have ...
(10x -1)° = 162°/2
10x = 82 . . . . . . . . add 1 and simplify
x = 8.2 . . . . . . . . . divide by 10
