Answer:
x= -10/3
y= -8/9
Step-by-step explanation:
2x+1=3(y−1);6(2y−1)=5x
Rewrite equations:
2x+1=3y−3;12y−6=5x
Step: Solve2x+1=3y−3for x:
2x+1=3y−3
2x+1+−1=3y−3+−1(Add -1 to both sides)
2x=3y−4
2x2=3y−42(Divide both sides by 2)
x=32y−2
Step: Substitute32y−2forxin12y−6=5x:
12y−6=5x
12y−6=5(32y−2)
12y−6=152y−10(Simplify both sides of the equation)
12y−6+−152y=152y−10+−152y(Add (-15)/2y to both sides)
92y−6=−10
92y−6+6=−10+6(Add 6 to both sides)
92y=−4
92y92=−492(Divide both sides by 9/2)
y=−89
Step: Substitute−89foryinx=32y−2:
x=32y−2
x=32(−89)−2
x=−103(Simplify both sides of the equation)
Answer:
Fraction form: x = ln(5)/ln(10)
Decimal form: 0.69897000
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Answer:
179.5 - 180.5
Step-by-step explanation:
Time is a continuous variable. The minimum sleep time per night per subject here, is given as 1 minute.
Larger sleep times could be 1.08 minutes, 2.99 minutes, and other continuous/infinite values. Remember there are 60seconds in a minute and in-between seconds, there are milliseconds. So time is a continuous variable.
In this case though, our measurement of time is given in whole number units (integers). Our precision of measurement is 1 unit. We have an observed value of 180 minutes (the first subject's sleep time). The real limits of this value are 179.5 to 180.5
Giovanni purchased 20 adult tickets and 5 child's tickets.
Step-by-step explanation:
Let,
x = Adult tickets
y = Child's tickets
According to given statement;
x+y=25 Eqn 1
One adult ticket costs $14 and one child ticket costs $8, therefore,
14x+8y=320 Eqn 2
Putting value of x in Eqn 1;
Giovanni purchased 20 adult tickets and 5 child's tickets.
Keywords: Linear equations, Addition
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