Answer:
4
Step-by-step explanation:
This situation has two unknowns - the total number of half dollars and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
- h+q=31 is an equation representing the total number of coins
- 0.50h+0.25q=11 is an equation representing the total value in money based on the number of coin. 0.50 and 0.25 come from the value of a half dollar and quarter individually.
We write the first equation in terms of q by subtracting it across the equal sign to get h=31-q. We now substitute this for h in the second equation.
0.50(31-q)+0.25q=11
15.5-0.50q+0.25q=11
15.5-0.25q=11
After simplifying, we subtract 15.5 across and divide by the coefficient of q.
-0.25q=-4.5
q=4
We now know of the 31 coins that 4 are quarters.
Step-by-step explanation:
(3X-20)+(3X+5)=111(( SINCE 111 IS TOTAL ANGLE
6X-15=111
6X=126
X=21
EFG=3×21-20
=63-20=43
Answer
Secured
Step-by-step explanation:
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Answer:

Step-by-step explanation:
-A rectangle's area is given by:

Given A=
and
, we substitute in the formula to solve for the width as follows:

Hence , the rectangle's width is 