Olivia started knitting a jumper

Mathematics

2 answers:

Lorico [155]2 years ago

5 0

The answer to the question above is 13:30

ale4655 [162]2 years ago

5 0

Answer: 14:30

Step-by-step explanation:

19:13 - 4.43 looks easy, but time expressed in 24-hour format is a base 60 calculation in the decimal portion. It only contains values between 0 and 59.

I broke it it down to simplify:

1) Take 13 minutes off the 19:13 to make it 19:00.

2) Then take the same 13 minutes off the 4.43, which would make it 4.30 (4 1/2 hours)

3) Now take off the 4.30 from the 19:00. The 4 portion of 4.3 can be removed: 19:00 - 4:00 = 15:00. Then remove the 0:30 portion (1/2 hour), which would leave 14:30.

14:30 plus 4:43 = 18:73, but the 0:73 must convert to 1:13 to account for the 60 minutes/hour format

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5. Solve using any method. y = -x + 8 y=x+4

vlada-n [284]

Answer:

Step-by-step explanation:

$\bold{ELIMINATION\ METHOD}\\\\\left\{\begin{array}{ccc}y=-x+8\\y=x+4&\TEXT{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}y=-x+8\\-y=-x-4\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad0=-2x+4\qquad\text{add}\ 2x\ \text{to both sides}\\.\qquad2x=4\qquad\text{divide both sides by 2}\\.\qquad\boxed{x=2}\\\\\text{Put it to the second equation}\\y=2+4\\\boxed{y=6}$

$\bold{SUBSTITUTION\ METHOD}\\\\\left\{\begin{array}{ccc}y=-x+8&(1)\\y=x+4&(2)\end{array}\right\\\\\text{Substitute (1) to (2)}\\\\-x+8=x+4\qquad\text{subtract 8 from both sides}\\-x=x-4\qquad\text{subtract}\ x\ \text{from both sides}\\-x-x=-4\\-2x=-4\qquad\text{divide both sides by (-2)}\\\boxed{x=2}\\\\\text{Put it to the second equation}\\y=2+4\\\boxed{y=6}$