Answer:
37 dimes and 10 nickels
Step-by-step explanation:
let d = # dimes
let n = # nickels
we can set up a system of equations:
n + d = 47
.05n + .10d = 4.2
if we solve the first equation for 'n' we get:
n = 47-d
now we can substitute this in for 'n' in the second equation:
.05(47-d) + .10d = 4.2
2.35 - .05d + .10d = 4.2
2.35 + .05d = 4.2
subtract 2.35 from each side to get:
.05d = 1.85
d = 1.85÷.05
d = 37
if d+n = 47 and d=37 then n = 10
Check:
.05(10) + .1(37) should equal 4.2
.50 + 3.7 = 4.2 [It Checks Out]
Answer:
approximately 3.16 repeated
Step-by-step explanation:
Answer:
5 should be subtracted from each term
Step-by-step explanation:

Cross multiply,
1 * (11 - x) = 2*(8-x)
11 -x = 2*8 - 2*x
11 - x = 16 - 2x
Subtract 11 from both sides,
-x = 16 - 2x - 11
-x = 5 - 2x
Add 2x to both sides
-x +2x = 5 - 2 + 2x
x = 5
Answer:
One mass's kinetic energy is 4 times the other.
Step-by-step explanation:
The formula for kinetic energy is 
Where
KE is the kinetic energy
m is the mass
v is the velocity
- Now, let mass of the first be m (second is identical so mass of 2nd is m as well)
- Let velocity of the first one be v. Since 2nd one is travelling twice as fast, its velocity will be 2v
<u>KE of 1st mass is:</u>

<u />
<u>KE of 2nd mass is:</u>

Hence, the kinetic energy of the 2nd mass is 4 times the first.
Answer: X= -1
Step-by-step explanation: In this equation you want to solve for "x"
You subtract 6-6=0 leaving "x" by itself. So the equation will look like this: 6x= -6
After this you want to divide by 6 to one side and to the other equaling "x" as -1