Answer:
Step-by-step explanation:
Even though this seems like a crazy trick question it isn’t. An empty pool with a closed drain takes 3 hours to fill. A full pool with and open drain takes 4 hours to empty. So to fill and empty pool with an open drain, i’d say in my opinion it’d either take 7 hours or you wouldnt be able to fill it at all. I mean it’s an open drain
hope this helped :3
:3 byeeeeeeeeeeeeeeeee
In 2005 a town with a population of 10,000 finds that its population is declining by a rate of 0.3% per year. Find the following
of the original population. He answered that it would never reach half, what is the incorrect assumptions Johnny made? (answer with a Johnny was asked how long it will take the population to reach complete sentence)
Johnny's assumption is that, none of the residents of the town will live up to 231 years.
The parameters are given as:
[tex]\mathbf{P_o = 10000}[/tex]--- the population in 2005
[tex]\mathbf{r = 0.3\%}[/tex] -- the rate at which the population declines
To model a population, we make use of the following exponential function
[tex]\mathbf{P = P_o \times(1 -r)^t}[/tex]
Where P is the current population in t years.
So, we have:
[tex]\mathbf{P = 10000 \times(1 -0.3\%)^t}[/tex]
When the population reaches half of the initial population, then P = 5000.
So, we have:
[tex]\mathbf{5000 = 10000 \times(1 -0.3\%)^t}[/tex]
Divide both sides by 10000
[tex]\mathbf{0.5 = (1 -0.3\%)^t}[/tex]
[tex]\mathbf{0.5 = (0.997)^t}[/tex]
Take logarithm of both sides
[tex]\mathbf{log(0.5) = log(0.997)^t}[/tex]
Rewrite the equation as
[tex]\mathbf{log(0.5) = tlog(0.997)}[/tex]
Make t the subject
[tex]\mathbf{t = \frac{log(0.5)}{log(0.997)}}[/tex]
[tex]\mathbf{t = 231}[/tex]
This means that the population will halve its initial population in 231 years.
Johnny's assumption is that, none of the residents of the town will live up to 231 years.
Read more about population functions at:
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In a telephone poll, 11 people said they like shopping and 9 people said they do not like shopping. What is the ratio of the number of people who do not like shopping to the number of people who like shopping? hurry I need helpppp
Answer:
9:11
Step-by-step explanation:
well 11 and 9 can be simplified so......
Stacy and Jessica own a small business. Stacy, working alone can complete a job in 8 hours. Jessica can complete the same job in 9 hours. How long would it take them to complete the job working together?
Answer:
17 hour
Step-by-step explanation:
8+9=17
14a + 2 =
Please help
Answer: ( 2 x 7 ) a + 2
Step-by-step explanation:
During lunch, Mr. Lee eats a piece of chicken that contains 9 1/9 grams of protein, and Mr. Scott eats a piece of salmon that contains 7 1/7 grams of protein. How much more protein did Mr. Lee eat at lunch?
Answer:
Mr. Lee ate [tex]1\frac{61}{63}[/tex] more protein than Mr. Scott
Step-by-step explanation:
Find the least common denominator for both fractions.
9: 9, 18, 27, 36, 45, 54, 63
7: 7, 14, 21, 28, 35, 42, 49, 56, 63
Multiply 1/9 by 7/7:
[tex]9 \frac{1}{9} = 9 \frac{7}{56} \\[/tex]
Multiply 1/7 by 9/9:
[tex]7\frac{1}{7} = 7\frac{9}{63}[/tex]
Subtract the two fractions:
[tex]9\frac{7}{63} - 7\frac{9}{63} = 1\frac{61}{63}[/tex]
Sophie decides to ride her bike also. After 3 days, she rode 114 minutes. After 8 days, she rode 304 minutes. What is Sophie's rate per day? She ridesminutes per day
Answer:
38 minutes per day
Step-by-step explanation:
Divide 114 to 3
114 ÷ 3 = 38
Divide 304 to 8
304 ÷ 8 = 38
Answer:
1 day = 38 minutes
Step-by-step explanation:
3 days = 114 minutes
=> 1 day = 38 minutes
=> 8 days = 38 x 8 minutes.
Her rate is 1 day = 38 minutes. Hoped this helped.
Given: x + 2 < -5.
Choose the solution set.
{x | x R, x < -3}
{x | x R, x < 3}
{x | x R, x < -7}
{x | x R, x < 7}
Answer:
x < -7
Step-by-step explanation:
Subtract 2 on both sides to get x < -7.
Hope this helps :)
What is the solution to the inequality -6_5>-29
Answer:
If it's true or false than it's true.
The first three terms of an arithmetic sequence are as follows.
52, 44, 36
Find the next two terms of this sequence.
Answer: 8
Step-by-step explanation:
Chad collected 256 M&Ms but lost 5/8 of them on his way to
sehool through a hole in his
bag. When he arrived at school how many M&Ms did Chad have left?
Chad had 96 M&Ms left when he arrived at school.
Chad initially collected 256 M&Ms.
However, he lost 5/8 of them on his way to school through a hole in his bag.
To determine how many M&Ms Chad had left when he arrived at school, we need to calculate the fraction that represents the M&Ms he did not lose.
If Chad lost 5/8 of the M&Ms, it means he kept 1 - 5/8 = 3/8 of them.
To find the number of M&Ms Chad had left, we multiply 3/8 by the total number of M&Ms he initially collected:
(3/8) [tex]\times[/tex] 256 = (3 [tex]\times[/tex] 256) / 8 = 768 / 8 = 96.
Therefore, Chad had 96 M&Ms left when he arrived at school.
In summary, Chad initially collected 256 M&Ms but lost 5/8 of them, leaving him with 3/8 of the total.
Multiplying 3/8 by 256 gives us 96 M&Ms, which is the number of M&Ms Chad had left when he arrived at school.
For similar question on fraction.
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The number 43.9 is 24% of x. What is the value of x rounded to the nearest whole number?
Answer:
183
Step-by-step explanation:
percentage=actual/base
B=A/P
B=43.9/0.24
B= 182.9=183
The value of x rounded to the nearest whole number is 183.
What is Percentage?In mathematics, a number or ratio that can be expressed as a fraction of 100 is known as a percentage. To find the % of a number, divide it by its value, then multiply the result by 100. Percentage is a relative value that denotes one tenth of any quantity. As one percent (symbolised as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.
As per the given data:
Number = 43.9
The given number is 24% of x.
Percentage = (value / total) × 100
By substituting the given data:
24 = (43.9 / x) × 100
x = (4390/24)
x = 182.91
after rounding off to the nearest whole number
x = 183
Hence, the value of x rounded to the nearest whole number is 183.
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PLEASE HELP WILL MARK BRAINILEST
1. The formula for the volume of a rectangular box is V = lbh. What is the formula for h in terms of V, l and b?
2. Solve 7x + 3y = m, for y
3.The formula for the potential energy P = mgh. What is the formula for m in terms of P, g, and h?
Answer:
1. h = V/lb
2. y = (m - 7x)/3
3. m = P/gh
Which relation is not a function?
A. {(2, 4), (1, 2), (0,0), (-1,2), (-2,4)}
B. {(2,4), (1, 1), (0,0), (-1, 1), (-2,4)}
C. {(2, 2), (1, 1), (0,0), (-1,1), (-2, 2)}
D. {(2, 2), (1, 1), (0,0), (1,-1), (2,-2)}
Answer: Choice D
Explanation:
We have the two points (2,2) and (2,-2) which have a repeated x coordinate. This is not allowed if we wanted a function. A function must have any x input lead to exactly one and only one output (assuming the input is in the domain).
Answer:
the correct is C. because they are lines going to 2.
b)
Solve the system by substitution.
2x – 6y = –24
x = 5y – 22
Answer:
Solution: 2x-6y divided by -24
2x=-24(-6y)
2x=6y-24
x=(6y-24) divided by 2
x=(6y-24)x 1/2
x=6y x 1/2 -24 x 1/2
x=3y-24x1/2
x=3y-12
The slope of the line that passes through the points (0,3) and (5,13) is
Answer: The slope is 2
Step-by-step explanation:
The slope is the Rise (the change in y) over the Run (the change in x).
We can calculate the Rise and Run from the two given points:
(0.3) and (5,13)
Rise = (13 - 3) = 10
Run = (5 - 0) = 5
Rise/Run = 10/5 = 2: the slope is 2.
The equation for this line is y = 2x + b. The y-intercept, b [from the general form y=mx+b (where m is the slope)] is the value of y when x=0. The point (0,3) says y=3 when x=0, so b = 3.
y = 2x + 3.
Type the missing number in this sequence:
5,
12, 19,
26,
Answer:
33
Step-by-step explanation:
You are adding 7 each time.
Hope this helps :)
Answer:
33
Step-by-step explanation:
Sequence is the progression of a number in a sequencial order.
[tex]5 + 12 + 19 + 26 + 33[/tex]10. Triangle JKL is shown. Based on the information in the diagram, what is the measure of ZJKL? (G6D)
Answer:
Angle K = 70degrees
Angle L = 68degrees
Step-by-step explanation:
Angle in a triangle add up to 180degrees
Figure out triangle the small triangle to the left side of the paper.
42+68+x=180
110+x=180
X=70
Angle K = 70degrees
Knowing that figure for angle L
70+42+x=180
112+x=180
X=68
Angle L = 68degrees
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT
Answer:
115°
Step-by-step explanation:
Since ∠ACM and ∠ACE form a straight line that means that they are supplementary (they add up to 180°). So, if m∠ACB is 65°, then m∠ACE is 180° - 65° which is 115°
Answer:
115
Step-by-step explanation:
[tex]fca + acb + bcd = 180 \\ 90 + 65 + bad = 180 \\ bad = 25 \\ \\ bad = fce \\ fce = 25 \\ \\ ace = acf + fce \\ = 90 + 25 \\ = 115[/tex]
At a hockey game a vendor sold a combined total of 168 sodas and hotdogs. The number of sodas sold was two times the number of hotdogs sold. Find the number of sodas and the number of hotdogs sold.
Step-by-step explanation:
168/3 = 56
so 112 sodas
56 hotdogs
Red Riding Hood drives the 432 miles to Grandmother’s house in 1 hour less than it takes the Wolf to drive the same route. Her average speed is 6 mph faster than the Wolf’s average speed. How fast does Red Riding Hood drive?
Using the relationship between velocity, distance and time, it is found that Red Riding Hood drives at 54 mph.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
Red Riding Hood drives the 432 miles to Grandmother’s house in 1 hour less than it takes the Wolf to drive the same route, at a speed of 6 mph faster, hence the equations are:
[tex]v = \frac{432}{t}[/tex]
[tex]v + 6 = \frac{432}{t - 1}[/tex]
From the first equation:
[tex]t = \frac{432}{v}[/tex]
Replacing on the second equation:
[tex]v + 6 = \frac{432}{t - 1}[/tex]
[tex]v + 6 = \frac{432}{\frac{432}{v} - 1}[/tex]
[tex]v + 6 = \frac{432v}{432 - v}[/tex]
[tex]432v - v^2 + 2592 - 6v = 432v[/tex]
[tex]v^2 + 6v - 2592 = 0[/tex]
(v + 54)(v - 48) = 0.
The velocity is positive, hence:
v - 48 = 0 -> v = 48 mph.
Red Riding Hood drives 6 mph faster than Wolf, hence:
v + 6 = 48 + 6 = 54 mph.
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Answer: 54 mph.
Step-by-step explanation:
took the test and got it correct. edge.
5у2х 1.5y
If you could do this asap ty
Answer:
[tex]2.5y^{3}x[/tex]
What is 3/4 multiplied by 3
8x-3y=9
3x+2y=8
(Guys need help on this simultaneous equation)
Step-by-step explanation:
sorry that's all i know hehe
What is (2x-7y)^2 simplified
Answer:
4x² - 28xy + 49y²
Step-by-step explanation:
(2x - 7y)²
= (2x - 7yy)(2x - 7y)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(2x - 7y) - 7y(2x - 7y) ← distribute parenthesis
= 4x² - 14xy - 14xy + 49y² ← collect like terms
= 4x² - 28xy + 49y²
What is the quotient of 9198 and 14?
Answer:
656.36
Step-by-step explanation:
you just divide then have to round the decimal point to 36
which one is the answer? Please i need this quick
Answer:
Step-by-step explanation:
what is the question
Find the value that makes the equation below true:
6r+7 = 13+7r
Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive formula and an explicit formula to represent it.
1. 0.3, 0.9, 1.5, 2.1
2. 1, 8, 27, 64
Step-by-step explanation:
an arithmetic sequence is when every new term is created by adding a certain constant to the previous term.
1. is an arithmetic sequence. the constant is 0.6.
0.3 + 0.6 = 0.9
0.9 + 0.6 = 1.5
1.5 + 0.6 = 2.1
...
so, we have
a1 = 0.3
an = an-1 + 0.6
and
an = a1 + (n-1)×0.6 = 0.3 + (n-1)×0.6
2. is neither an arithmetic nor a geometric sequence.
it is simply
an = n³
HELP ASAP PLS ….. THIS IS SO CONFUSING
Answer:
-1/5
Step-by-step explanation:
-0.2
-2/10
-1/5
So just move -1/5 back from 0 .
457x64-(163+208x45) + ( 2820÷20)-1802
Answer:
18064
Step-by-step explanation:
these equations are always in this order:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
To remember this, my teacher told us the phrase; "Please Excuse My Dear Aunt Sally".