Answer:
Step-by-step explanation:
<u>Convert a Repeating Decimal to a Fraction
</u>
We need to convert the following decimal to a fraction:
Let's call x to the given number:
The number has two repeating (periodic) decimals, thus we multiply by 100:
Note the decimals continue to repeat exactly like the original number.
Subtracting both expressións, the repeating decimals are simplified:
Operating:
99x=-37
Dividing by 99:
The fraction cannot be simplified, thus:
She can't spend more than 5 minutes on each of the remaining 8 questions.
It's a 60-minute test in which she has spent 20 minutes answering 12 questions. That means that there are 40 minutes remaining (60-20) to answer the remaining 8 questions. That's 40 divided by 8 = 5.
Answer:
x=2 and y=7
Step-by-step explanation:
Step: Solvey=2x+3for y:
y=2x+3
Step: Substitute2x+3foryiny=3x+1:
y=3x+1
2x+3=3x+1
2x+3+−3x=3x+1+−3x(Add -3x to both sides)
−x+3=1
−x+3+−3=1+−3(Add -3 to both sides)
−x=−2
−x
−1
=
−2
−1
(Divide both sides by -1)
x=2
Step: Substitute2forxiny=2x+3:
y=2x+3
y=(2)(2)+3
y=7(Simplify both sides of the equation)
Answer:
I believe it's SSS
Step-by-step explanation:
This is because all sides are congruent to each other.
Answer:
66 sunny days before birthday
Step-by-step explanation:
Total sunny days after birthday = 17
Total sunny days in year = 83
Birthday was not sunny
Total sunny days before birthday = 83 -17
= 66 sunny days
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