Answer:x = 0, y = 3, z = 2
Step-by-step explanation:
The given system of equations is expressed as
x - y + 4z = 5 - - - - - - - - - - - - - -1
4x + z = 2
z = 2 - 4x- - - - - - - - - - - - - -2
x + 5y + z = 17- - - - - - - - - - - - - -3
From equation
Substituting equation 2 into equation 1 and equation 3, it becomes
x - y + 4(2 - 4x) = 5
x - y + 8 - 16x = 5
x - 16x - y = 5 - 8
- 15x - y = - 3 - - - - - - - - - - - - - -4
x + 5y + 2 - 4x = 17
x - 4x + 5y = 17 - 2
- 3x + 5y = 15- - - - - - - - - - - - - -5
We would eliminate y by multiplying equation 4 by 5 and equation 5 by 1. It becomes
- 1
- 75x - 5y = - 15
- 3x + 5y = 15
Adding both equations, it becomes
- 78x = 0
x = 0
Substituting x = 0 into equation 2, it becomes
z = 2 - 4 × 0
z = 2
Substituting x = 0 and z = 2 into equation 1, it becomes
0 - y + 4 × 2 = 5
- y + 8 = 5
y = 8 - 5
y = 3
it goes into five 0 times
Answer:
<u>Question 1:</u>
5 pints per hour
<u>Question 2:</u>
480 tons per day
<u>Question 3:</u>
12 miles per gallon of gasoline
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Step-by-step explanation:
<u>Question 1:</u>
<h2><em>In the morning;</em></h2>
A farm worker packed 3 pints of grapes every 4 minutes.
1 minute = hours
Packing rate in pints per hour = 3 pints ÷ hours = 45 pints per hour
<h2><em>In the afternoon;</em></h2>
She packed 2 pints of grapes every 3 minutes.
Packing rate in pints per hour = 2 pints ÷ hours = 40 pints per hour.
The difference between her morning and afternoon packing rates (in pints per hour) = 45 pints per hour - 40 pints per hour = 5 pints per hour
<u>Question 2:</u>
A recycling plant processes an average of tons of glass each minute.
1 hour = 60 minutes
The number of tons of glass processed in 1 hour is:
× 60 = 20 tons of glass in 1 hour.
1 day = 24 hours
Number of tons of glass processed in a day = 20 tons × 24 = 480 tons
<u>Question 3:</u>
A vehicle uses 1 gallons of gasoline to travel 13 miles.
Per 1 gallon of gasoline the vehicle will travel:
1 × 13 ÷ 1 = 12 miles
79.623 rounded to the nearest whole would be 80
Answer:
6,12,18,24,30,36,42,48,54,69