So, first lets define our variables:
let x = the number of dimes
let y = the number of nickels
so our first equation would be x+y = 16
Since dimes are 10 cents and nickels are 5 cents the next equation would be as follows:
.10x+.05y = 1.35
now change the first equation so y = -x+16
now substitute:
.10x+.05(-x+16) = 1.35
then multiply so you get .10x+-.05x+0.8=1.35
combine like terms and you get .05x+0.8 = 1.35
then subtract 0.8 from both sides and you get .05x = 0.55 then subtract
and you get x = 11 then substitute 11 for where x should be and you should get y = 5
So, you have 11 dimes and 5 nickels
Answer:
6 mile/hour
Explanation :
Let the speed of walking of James = x mile/hour
speed of jogging = 2x mile/hour
9/2x + 1.5/x = 2
= > (9 + 3)/2x = 2
= > 12 = 4x
= > x = 3
Average speed of walking = 3 mile/hour
Average speed of jogging = 2 * 3 = 6 mile/hour
Answer: 252 square feet
Step-by-step explanation:
lets remember that 1 yard= 3 feet
7 yards= 7*3=21 feet
4 yards= 4*3=12 feet
we know that area of a rectangle= LxW
21 x 12= 252 square feet
Answer:
y=2/3x
Step-by-step explanation:
A direct variation equation is y=kx. if k=2/3, then if x was 9,y would be 6.
