Answer:
Correct options are:
a) ( 0 , 445 )
d) ( 118 , 209 )
e) ( 172 , 101 )
Step-by-step explanation:
A nickel is worth 5 cents $0.05
A dime is worth 10 cents = $0.10
The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation 0.10d+0.05n=22.25. Select the THREE values (d,n) that could be solutions to the equation.
a) ( 0 , 445 )
b) ( 0.50 , 435 )
c) ( 233 , 21 )
d)( 118 , 209 )
e)( 172 , 101 )
Verifying the options
a) ( 0 , 445 )
0.10d+0.05n=22.25.
= 0.10(0) + 0.05(445) = 22.25
= 22.25 = 22.25
Options a) is correct
b) ( 0.50 , 435 )
0.10d+0.05n=22.25.
= 0.10(0.50) + 0.05(435) = 22.25
= 21.8 ≠ 22.25
Option b is incorrect
c) ( 233 , 21 )
0.10d+0.05n=22.25.
= 0.10(233) + 0.05(21) = 22.25
= 24.35 ≠22.25
Option c is incorrect
d) ( 118 , 209 )
0.10d+0.05n=22.25.
= 0.10(118) + 0.05(209) = 22.25
= 22.25 = 22.25
Option d) is correct
e) ( 172 , 101 )
0.10d+0.05n=22.25.
= 0.10(172) + 0.05(101) = 22.25
= 22.25 = 22.25
Option e) is correct
Answer:
1/4
Step-by-step explanation:
absolute value are always positive
Answer:
9 9/20
Step-by-step explanation:
4 1/5 * 2 1/4
Change the mixed nubers to improper fractions
4 1/5 = (5*4+1)/5 = 21/5
2 1/4 = (4*2+1) /4 = 9/4
21/5 * 9/4 = 189/20
Now we change it back to a mixed number
20 goes into 189 9 times (20*9 = 180 with 9 left over)
9 9/20
