Answer:
see the explanation
Step-by-step explanation:
we have
0.888...
This is a <u>repeating decimal</u> (Is a decimal that has a digit, or a block of digits, that repeat over and over and over again without ever ending)
Convert to fraction number
Let
x=0.888...
10x=8.888...
Subtract 0.888... from 8.888... to remove the decimal
10x-x=8.888...-0.888...
9x=8
Solve for x
x=8/9
therefore
Mike fraction is incorrect
because 4/5=0.8
0.8 is a <u>terminating decimal </u>(It's a decimal with a finite number of digits)
Mike's mistake was considering the number as a terminating decimal instead of a repeating decimal
Beth is correct
because
If you divide 8/9
the result is 0.8888888...
Given:
Saving amount = $900
Cost of Laptop = $600
Cost of food = $60 every 2 weeks
Let x be the number of times Sara can withdraw money for food. The inequality would be:
60x + 600 <u><</u> 900
60x + 600 <u><</u> 900
<u> - 600 -600</u>
60x <u><</u> 300
<u>÷ 60 ÷60</u>
x <u>< </u>5
Sara can withdraw money 5 times or less for food.
Answer: Mark uses 1 cup of Sprite if 1 cup of Sprite is used.
Step-by-step explanation:
1 cup equals 1 cup.
Do $15,000x.014x2
--
$15,000x.014=$210
$210x2=$420
See the picture attached to better understand the problem
we know that
(x+20)+∠1=180°-------> by supplementary angles
∠1=160°-x
∠1+∠2=180°--------> by supplementary angles
∠2=180-(160-x)-----> ∠2=20+x
∠2=80°------> by corresponding angles
so
20+x=80
x=80-20-------> x=60°
the answer is60°