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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Can anyone help with this, its the last question lol
Answers
Answer:
30
Step-by-step explanation:
5 x 6 = 30
Is x = 6 a solution to the equation 5(x – 3) = x + 13?
Follow the steps to find out.
Show step by step how you apply the various properties (i.e. properties of equality, distributive property, etc).
1. Simplify both sides. Show your work. (2 points)
Answers
Answer: 6 is not a solution
Step-by-step explanation:
5(x – 3) = x + 135(6 - 3) ? 6 + 135(3) ? 1915 ≠ 19Write a decimal ;twenty three hundredths
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First decimal place is the tenths, second is the hundredths
Answer:
0.23
Step-by-step explanation:
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Jill and Beth are sisters. Jill is 1⁄3 of Beth’s age. Let b represent Beth's age. Write an algebraic expression to show Jill’s age.
You eat c candy bars at the movies. Your friend eats two candy bars fewer than you eat. Write an expression that describes the number of candy bars your friend eats.
The number of coffee shops on Main Street is four less than three times the number of coffee shops, on 3rd Avenue. Which expression can be used to determine the number of coffee shops on Main Street?
Arlin ran a certain number of miles, m. Liam ran 4 times the sum of m and 5. Write 2 equivalent expressions to show how many miles Liam ran.
Answers
F = C-2
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L = 4(m+5)
What is m\_JKL in the diagram below
Answers
JKL is the other angle in the corner. That square means its a 90 degree angle.
So, to find the other angle, subtract 28 from 90
62
Angle JKL = 90° - 28° = 62°
i needd help with this answer
this is an 10 points but it gon say 50 bc yall are spliting
Answers
Answer:
we 10 points because you are vb and your classmate have 50 point because their bright
Answer:
I think it's A.
Step-by-step explanation:
Spheres have no faces, sides, or verticles. this saying/fact is from a website https://flexbooks.ck12.org/cbook/ck-12-middle-school-math-concepts-grade-7/section/10.1/primary/lesson/classification-of-solid-figures-msm7/#:~:text=A%20sphere%20is%20a%20solid%20figure%20that%20has,has%20one%20face%2C%20but%20no%20edges%20or%20vertices.
MATH MATH MATH MATH MATH MATH
Answers
Answer: Y = 3/8
Step-by-step explanation:
You can either use the rise/run method or subtract 2 points from the line to get the slope. You can do the rise/run method by starting at a point that is on the corner of the square and keep counting how many spaces you have to go until you get to the next even point. This number will be on the bottom, then count up until you get to that even point,this amount of spaces this takes will be on top. Since there are only 2 visible points on this graph,I will use the other method. You can use either the y1-y2/x1-x2 formula or do this
8,3
0,0
8,3
Remember,the y goes on top! Our slope is 3/8,also since the y intercept is the orgin/0,0 we don't need to add it at the end. I hope this helps and wasn't too complicated!
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
And when y = 3, x = 8
Putting the value in slope form
y - y1 = m(x - x1)
3 - 1.5 = m(8 - 4)
1.5 = m(4)
m = 1.5/4
m = 3/8
Now simply we put the value in y-intercept form
y - 3 = 3/8(x - 8)
y = 3/8(x) - 3 + 3
y = 3/8(x)
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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?
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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]
a=5 c=30 solve for b
[tex]25+b^2=900[/tex]
subtract 25 from both sides to get [tex]b^2 =875[/tex]
then square both sides to get [tex]\sqrt{875[/tex] for the length of the other leg
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i will mark brainliest!
Answers
Answer: Reduction.
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Have a great day! :)
The average daily temperature in a city is 55° in May. The average daily temperature in that same city is −3° in December. Which of the following represents the difference in degrees of these average temperatures? |55| − |−3| = 52° |55| + |−3| = 58° 55|−3| = 52° |−55| − |−3| = 58°
Answers
Answer:
-3°
Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:344
Answer:344
Step-by-step explanation:
A student simplified the expression 6^2/36^2 as 1/3. Do you agree with this student?
Answers
Answer:
yes
Step-by-step explanation:
the math adds up to 1/3.
6^2= 36
36^2= 1296
36/1296 = 1/36
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PLEASE HELP ME
Answers
Answer:
$47.25
Step-by-step explanation:
Add $6.75 7 times
Explanation:
The diagram shows the plan for a lawn. A landscaper needs to
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Answers
Answer:
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Green Material (gallons) 4.25 B D 11.5
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Jeremy will need 12 gallons of brown material and 52 gallons of green material.
Jeremy will need 48 gallons of brown material and 16 gallons of green material.
Answers
Answer:
Step-by-step exp6lanation:
Select all ratios equivalent to 16:4 A. 12:3 B. 24:6 C. 48:12
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
24:6 is equal to 4:1 when fully simplified
48:12 is equal to 4:1 when fully simplified
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Step-by-step explanation:
48:12 16x3=48 4x3=12
24:6 16x1.5=24 4x1.5=6
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Answers
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Loren and Julie have different part time jobs after school. They are both paid at a constant rate of dollars per hour. The table below show Loren and Julie's total income (amount earned) for working a given amount of time.
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.
The income of Julie is $36 in 3 hours.
For 1 hour, Julie earns $12.
Thus the rate of Julie is $12 per hour.
For the 16 hours, Julie's income will be.
Julie's income for 16 hours = 12 x 16
Julie's income for 16 hours = $192
Julie's income for 16 hours is $192.
Julie takes time to earn $228 will be
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Answers
Sorry if I get it wrong
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You do the same on the next one. 3×50+2. You get 152.
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Again, sorry if i get it wrong
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?
39
40
73
91
Answers
B. 40
As we know Sid has 26 Caps
we also know that 26 is 65% of total
so let total caps = x
to calculate x
we know that percent = (Values*100)/total Values.......... i
and here Value = 26 caps
percentage = 65
So we have
65 = (26*100)/x---------------- (As we know that per = fraction*100)..... from i
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Answer:
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If you understood Fig A, the rest is easy.
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Answers
Answer:
C
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Answer:
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ALEKS
(screenshot)
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Step-by-step explanation:
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Answers
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Answers
Answer:
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Step-by-step explanation:
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A coordinate grid is shown with x- and y-axes labeled from 0 to 7 at increments of 1. A straight line joins the ordered pair 0, 4 with the ordered pair 7, 6.
0
4
6
7