Given:
The system of inequalities is


To find:
The values of a for which the system has no solution.
Solution:
We have,
...(1)
It means the value of x is less than or equal to 5.
...(2)
It means the value of x is greater than or equal to a
Using (1) and (2), we get

But if a is great than 5, then there is no value of which satisfies this inequality.
Therefore, the system has no solution for a>5.
Answer:
Total of Amala’s liabilities is $5500 .
Step-by-step explanation:
Liabilities is defined as the sums of money which it owes .
As given
Amala listed her assets and liabilities. Credit Card Balance Car (Paid in full) Jewelry Student Loan Savings Account Stocks $850 $2,200 $125 $2,500 $1,200 $1,500 .
As Credit card balance , car (Paid in full) and student loan are Amala liabilities .
Thus
Total amount of Amala’s liabilities = Credit card balance + car + student loan .
Putting all the values in the above
Total amount of Amala’s liabilities = 850 + 2200 + 2500
= $5500
Therefore the total of Amala’s liabilities is $5500 .
Answer:
a*b = 1/2
a/ b = 8/9
Step-by-step explanation:
a = 0.66666 and b = 0.75
To multiply it we write the decimal numbers in fraction form
a= 0.666666...
Multiply by 10 on both sides
10 a = 6.66666...
a = 0.66666...
Subtract the second equation
9a = 6
divide by 9 on both sides

so 0.6666 = 2/3
Now we convert 0.75 into fraction form

Multiply top and bottom by 100 to remove decimal

so 0.75 is 3/4
a= 2/3 and b = 3/4


Answer:
Rs. X + Rs. 10y
Step-by-step explanation:
Charge for 40 km travel = Rs. x per km
Charge for every additional km traveled = Rs. y
Amount paid for 50 km
Fixed charge for 40km = Rs. X
Additional km = 50 - 40 = 10 kilometer
Total charge :
Rs. X + Rs. 10y
Answer: Product = 13.8
Step-by-step explanation:
<u>As we have to use area model :</u>
So, we
Let length of rectangle be 4.6
Let breadth of rectangle be 3
As we know that
Area of rectangle is given by

Now, we must write in standard form, word form and expanded form:
So,
Standard form = 13.8
Word form = thirteen and 8 tenths
Expanded form is given by
