Answer:
6 1/4
Step-by-step explanation:
Answer:
The value of x is 6
Step-by-step explanation:
* Lets explain how to solve the problem
- Point Q is the mid-point of the segment PR
∵ Q is the mid-point of segment PR
∴ Q divided the segment PR into two equal parts
- When point Q divided the segment PR into two equal parts,
then the two parts are PQ and QR
∴ PQ = QR
∵ PQ and QR are 7x - 16 and 4x + 2
∴ 7x - 16 = 4x + 2
- Subtract 4x from both sides
∴ 7x - 4x - 16 = 2
∴ 3x - 16 = 2
- Add 16 to both sides
∴ 3x = 2 + 16
∴ 3x = 18
- Divide both sides by 3
∴ x = 6
∴ The value of x is 6
Let the melting point be x degree C.
-188-x= 32
-x=32+188
-x=220
x= -220
Hence, the melting point of fluorine is -220 degree C.
Answer:
Step-by-step explanation:
There are 240 boxes with 25 bags each. If each bag weighs 0.69 kg. What is the weight of coffee?
Let x = no. of 10 oz cups sold
Let y = no. of 14 oz cups sold
Let z = no. of 20 oz cups sold
:
Equation 1: total number of cups sold:
x + y + z = 24
:
Equation 2: amt of coffee consumed:
10x + 14y + 20z = 384
:
Equation 3: total revenue from cups sold
.95x + 1.15y + 1.50z = 30.60
:
Mult the 1st equation by 20 and subtract the 2nd equation from it:
20x + 20y + 20z = 480
10x + 14y + 20z = 384
------------------------ subtracting eliminates z
10x + 6y = 96; (eq 4)
Mult the 1st equation by 1.5 and subtract the 3rd equation from it:
1.5x + 1.5y + 1.5z = 36.00
.95x + 1.15y+ 1.5z = 30.60
---------------------------subtracting eliminates z again
.55x + .35y = 5.40; (eq 5)
Multiply eq 4 by .055 and subtract from eq 5:
.55x + .35y = 5.40
.55x + .33y = 5.28
--------------------eliminates x
0x + .02y = .12
y = .12/.02
y = 6 ea 14 oz cups sold
Substitute 6 for y for in eq 4
10x + 6(6) = 96
10x = 96 - 36
x = 60/10
x = 6 ea 10 oz cups
That would leave 12 ea 20 oz cups (24 - 6 - 6 = 12)
Check our solutions in eq 2:
10(6) + 14(6) + 20(12) =
60 + 84 + 240 = 384 oz
A lot steps, hope it made some sense! I hope this helps!! ;D
