Answer:
x= 3/2 or 1.5
Step-by-step explanation:
First of all, you can take out the parenthesis because 8x is subtracting 2x-3.
8x-2x-3=12
6x-3=12
+3 +3
6x= 15
6x/6= 15/6
x= 3/2 or 1.5
Hope this helps!
Answer:x=7
Step-by-step explanation:
Here AD=6
AB=6 (tangents drawn from external point to a circle are equal)
Then BC=13-6=7
Now, CE=BC=7(tangents drawn from external point to a circle are equal)
EF=14-7=7
EF=FG=x=7(tangents drawn from external point to a circle are equal)
I would help but not enough information sorry
Answer:
x = number of nickels = 127
y = number of dimes = 156
z = number of quarters = 78
Step-by-step explanation:
Let
x = number of nickels
y = number of dimes
z = number of quarters
Total worth of the coins = $41.45
Total number of coins = 361
x + y + z = 361 (1)
dime = $0.1,
nickel = $0.05
quarter = $0.25
0.05x + 0.1y + 0.25z = 41.45 (2)
twice as many dimes as quarters.
y = 2z
Substitute y = 2z into (1) and (2)
x + 2z + z = 361
0.05x + 0.1(2z) + 0.25z = 41.45
x + 3z = 361
0.05x + 0.2z + 0.25z = 41.45
x + 3z = 361 (3)
0.05x + 0.45z = 41.45 (4)
Multiply (4) by 20
x + 3z = 361 (3)
x + 9z = 829 (5)
Subtract (3) from (5)
9z - 3z = 829 - 361
6z = 468
Divide both sides by 6
z = 468 / 6
= 78
z= 78
Recall,
y = 2z
= 2(78)
= 156
y = 156
Substitute the value of y and z into
x + y + z = 361
x + 156 + 78 = 361
x + 234 = 361
x = 361 - 234
= 127
x= 127
x = number of nickels = 127
y = number of dimes = 156
z = number of quarters = 78
