The question is incomplete:
James has dimes and quarters saved up in his change jar. He has a total of 162 coins totaling $31.20 what is the total amount james has in quarters?
a. $10.00
b. $6.20
c.$15.50
d.$25.00
Answer:
d.$25.00
Step-by-step explanation:
With the information provided, you can write the following equations given that dimes are equal to 0.10 and quarters to 0.25 to determine the number of dimes and quarters that James has:
x+y=162 (1)
0.10x+0.25y=31.20 (2), where:
x is the number of dimes
y is the number of quarters
First, you can solve for x in (1):
x=162-y (3)
Then, you have to replace (3) in (2) and solve for y:
0.10(162-y)+0.25y=31.20
16.2-0.10y+0.25y=31.20
0.15y=31.20-16.2
0.15y=15
y=15/0.15
y=100
Finally, you have to replace the value of y in (3) to find x:
x=162-100
x=62
Now, you know that James has 100 quarters and you can multiply this number for the value of a quarter to find the amount James has in quarters:
100*0.25=25
According to this, the answer is that James has $25 in quarters.
Answer:
2x+2y=x+5
(move the x next to the 2y)
= 2x+2y-x=5
(the x is negative because i moved it)
(collect the like terms)
= x+2y=5
(so the answer is...)
x+2y=5
Answer:
The short story have 26 pages
The novel's pages is 364
Step-by-step explanation:
Step one:
given data
let the short story have x pages
so that the novel's pages will be 14x
the combined pages for novel and short story is =390 pages
Required
the individual number of pages
14x+x=390
15x=390
divide both sides by 15
x=26
the short story have 26 pages
the novel's pages will be 14(26)= 364
Step-by-step explanation:
8. 120° - Obtuse angle
9. 40° - Acute angle
10. 180° - Straight angle
11. 90° - Right angle
Answer:
1.33
Step-by-step explanation:
8/6 = 1.33
