A child's pool is filled to the top. On day 1, the level of the water in the pool decreases by [tex]1\frac{1}{3}[/tex] inches. On day 2, the level of the water decreases by [tex]\frac{3}{8}[/tex] inch. What number represents the total change in the water level after 2 days?
A. [tex]-1\frac{17}{24}[/tex] inches C. [tex]\frac{23}{24}[/tex] inch
B. [tex]\frac{-23}{24}[/tex] inch D. [tex]1\frac{17}{24}[/tex] inches
Answers
Answer:
[tex] \displaystyle A) -1 \frac{17}{21} [/tex]
Step-by-step explanation:
refer the attachment
the blue line refers the amount of reduction in the first day and the black line refers the amount of reduction in the second day
note that the total amount of depth of the the pool isn't specified therefore we can't assume the total depth of the pool to be 1 and as it says 'decrease' we are dealing with negative numbers
so
[tex] \rm \displaystyle \text{the level of the water in the pool decreases by $1\frac{1}{3}$ inches} \iff \boxed{- 1\frac{1}{3} }[/tex]
likewise
[tex] \rm \displaystyle \text{the level of the water in the pool decreases by $\frac{3}{8}$ inches} \iff \boxed{- \frac{3}{8} }[/tex]
since it wants the total amount of reduction we just need to add them which yields:
[tex] \displaystyle - 1 \frac{1}{3} + \bigg(- \frac{3}{8}\bigg) [/tex]
simplify complex fraction:
[tex] \displaystyle - \frac{4}{3} + \bigg(- \frac{3}{8} \bigg)[/tex]
simplify addition:
[tex] \displaystyle - \frac{41}{21} [/tex]
the option is given in complex fraction thus convert it to complex fraction:
[tex] \displaystyle -1 \frac{17}{21} [/tex]
and we're done!
hence our answer is A
![A Child's Pool Is Filled To The Top. On Day 1, The Level Of The Water In The Pool Decreases By [tex]1\frac{1}{3}[/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/B3w3EuQFVsBatdy7CIXqjTq8RiwfKQGz.jpeg)
Answer:
[tex]( - 1 \frac{17}{24} \: inches)[/tex]
Step-by-step explanation:
[tex]1 \frac{1}{3} + \frac{3}{8} \\ = \frac{4}{3} + \frac{3}{8} \\ = \frac{32}{24} + \frac{9}{24} \\ = \frac{41}{24} = 1\frac{17}{24} [/tex]
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Answer:
In the numbers mumbo jumbo, 76 is the minimum and 89 is the maximum. So it can look like this. (Fig A)
If you understood Fig A, the rest is easy.
There are one 76s, one 77s, four 78s, no 79s, four 80s, five 81s, no 82s, five 84s, four 85s, one 86s, two 87s, one 88s, and two 89s in the mumbo jumbo.
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A right triangle has one leg with a length of 5 units. The hypotenuse is 30 units long. What is the length of the other leg?
A. 5 Units
B. 25 Units
C. V 875
D. V 375
Answers
Answer: C. [tex]\sqrt{875[/tex]
Step-by-step explanation:
use Pythagorean theorem [tex]a^{2}+b^{2}=c^{2}[/tex]
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Answers
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Step-by-step explanation:
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Answers
Answer:
yes
Step-by-step explanation:
the math adds up to 1/3.
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36^2= 1296
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Answers
JKL is the other angle in the corner. That square means its a 90 degree angle.
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C
Step-by-step explanation:
the AN line connects both AB and MN together therefor it is a transversal line.
Answer:
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Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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8,3
0,0
8,3
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y = 3/8(x) is the equation that represents the proportional relationship in this graph, for y in terms of x.
What is proportional?In mathematics, two sequences of numbers, frequently experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, known as the coefficient of proportionality or proportionality constant.
If corresponding elements in two sequences have a constant product—also known as the coefficient of proportionality—then the two sequences are inversely proportional.
This definition is frequently broadened to include associated varying amounts, also known as variables.
We can see that when y = 1.5, then x = 4
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Answers
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Answers
Answer:
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Answer:
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Sid has a baseball cap collection. 65% of his caps have sports team symbols. If 26 of the caps have the team symbols, how many total caps does Sid have?
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Answers
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we also know that 26 is 65% of total
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percentage = 65
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Answers
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Answers
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Answers
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Find the missing values in the Loren's tables above.
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Answers
Answer:
Step-by-step explanation:
Julie's income for 16 hours is $192. Julie takes only 24 hours to earn $288. The rate is $12 for each hour.
Given
Loren and Julie have different part-time jobs after school.
They are both paid at a constant rate of dollars per hour.
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Thus the rate of Julie is $12 per hour.
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Answers
Answer:
A, B, and C are correct.
Step-by-step explanation:
16:4 is equal to 4:1 when fully simplified
12:3 is equal to 4:1 when fully simplified
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Answers
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Step-by-step explanation:
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Answers
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Answers
Answer: Reduction.
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Have a great day! :)