Answers
(x - 24) + 6 = change of water level
We cannot solve for the top question, because we need to know either the water level before the 8 days or the water level it had right when the problem was created (which is after the rain)
hope this helps
8 x -3 is -24
-24 + 6 = -18 inches
Related Questions
Need help with math problem
The temperature of a lake drops by the same amount each day for 10 days. The temperature drops by a total of 5 degrees.
Drag the numbers to form the equation that represents the change in the lake's temperature each day.
( ? ) ( ? ) = ( ? )
5, -5, 10, -10, 1/2, -1/2, 1/10, -1/10
Thanks
Answers
Hope it helps you.
Let [tex]\displaystyle{ d_n[/tex] be the temperature after day 1 of the period where the teperature decreases.
For example,
[tex]\displaystyle{ d_1[/tex] is the temperature after the first day
[tex]\displaystyle{ d_2[/tex] is the temperature after the second day
and so on...
The temperatures during these 10 days are:
[tex]d_0=t\\\\d_1=t-5\\\\d_2=(t-5)-5=t-2\cdot5\\\\d_3=(t-2\cdot5)-5=t-3\cdot5\\\\.\\\\.\\\\d_{10}=t-10\cdot5 [/tex]
The change of the temperature each day, is given by the difference of the temperature in 2 consecutive days, for example day 4 and day 5:
[tex]d_5-d_4=(t-5\cdot 5)-(t-4\cdot5)=t-25-t+20=-5[/tex]
In general, the equation can be given as :
[tex]d_n-d_{n-1}=-5[/tex]
Remark: we cannot see the letters to "drag", so adopt them according to the variables that we defined in the solution.
One number is 3 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 500, find the numbers
Answers
Then the second number is 3x.
Then the third number is (x+100).
Sum of the numbers=500
x+3x+(x+100)=500
4x+(x+100)-500=0
5x=400
x=80
The first number is 80.
The second number is 240.
The third number is 180.
We can check by adding all three of those numbers together: 80+240+180 = 500
Hope this helps! If you have any questions just ask!
To receive a grade A, the average of four 100-point exams must be 90 or better. If a student received scores of 89, 82, and 94 on the first three exams, what minimum score does he need on the fourth exam to earn an A?
Answers
(265 + x) / 4 > = 90
265 + x > = 90 * 4
265 + x > = 360
x > = 360 - 265
x > = 95.....the student would have to make a minimum of 95
Why -4 x (-4) = 16 not -16? Simple...
Answers
Solve for v
8v-4v=8
Answer:2
Answers
Divide both sides of 4 v = 8 by 4:(4 v)/4 = 8/4
4/4 = 1:v = 8/4
The gcd of 8 and 4 is 4, so 8/4 = (4×2)/(4×1) = 4/4×2 = 2:Answer: v = 2
alvin is 13 years older than elga. the sum of their ages is 107. what is elga's age
Answers
a + e = 107
e + 13 + e = 107
2e + 13 = 107
2e = 107 - 13
2e = 94
e = 94/2
e = 47 <=== elga's age
a = e + 13
a = 47 + 13
a = 60....alvin's age
-2 1/2 = t/10 what is t?
Answers
-25/10 = t/10
t = -25
hope this helps
Answer:
4
Step-by-step explanation:
From the ground, a hot-air balloon went up at a speed of 375 feet per minute for 5 minutes. It then went down at a speed of 225 feet per minute for 6 minutes. How far is the hot-air balloon above the ground?
Answers
it went up: 375 *5 = 1875 feet total
it went down: 225 *6 = 1350 feet total
1875-1350 = 525
it is 525 feet above the ground
To find how high it is above ground subtract it's rise (1875) by its fall (1350)
A certain natural number is not divisible by 7 can
it be divisible by 14?
Answers
hope this helps
Choose the word phrase (greater than, less than, or equal to) to make the statements true.
Each paper clip can be traded for three matches.
Each pencil can be traded for six paper clips.
Three pencils are worth [less than, greater than, or equal to] seventeen paper clips.
which one pls
Answers
Each pencil can be traded for six paper clips which can be traded for (6 x 3 = 18) eighteen matches.
Two pencils and two paper clips are worth (2 x 18 + 2 x 3 = 36 + 6 = 42) which is greater than thirty-eight matches.
Therefore, Two pencils and two paper clips are worth thirty-eight matches.
Answer:
Three pencils are worth greater than seventeen paper clips.
Step-by-step explanation:
Each paper clip can be traded for three matches.
Each pencil can be traded for six paper clips.
Three pencils are worth [tex]3\times6=18[/tex] paper clips.
So, the correct statement is - Three pencils are worth greater than seventeen paper clips.
A completely filled 20 gallon tank originally contains 10 pounds of salt dissolved in water. pure water enters the tank at the rate of 5 gallons/minute, and the well-stirred mixture leaves the tank at the same rate. find the amount of salt in the tank at any time t .
Answers
To find the amount of salt in the tank at any time t, we can use the equation S(t) = 10 - 10(W(t)/20), where W(t) represents the amount of water in the tank at time t. Substituting the given values, we can calculate the amount of salt in the tank.
Explanation:To find the amount of salt in the tank at any time t, we need to consider the rate at which pure water enters and leaves the tank. Since water enters the tank at a rate of 5 gallons/minute, the amount of water in the tank at any time t can be represented by the equation: W(t) = 5t, where t represents time in minutes. The concentration of salt in the tank remains constant, so the amount of salt in the tank at any time t can be represented by the equation: S(t) = 10 - 10(W(t)/20), where S(t) represents the amount of salt in pounds and W(t) represents the amount of water in gallons.
Let's solve for S(t) when t = 10 minutes:
S(10) = 10 - 10(5/20) = 10 - 10(1/4) = 10 - 10/4 = 10 - 2.5 = 7.5 pounds of salt.
What's 39,230 rounded to the nearest ten thousabd
Answers
39230 correct to 10 000 would have been 39 000, but there is 9 after 3, so we must add 1 to the 9 giving a result of 40 000.
Hope it helped!
Charles can type 675675675 words in 999 minutes.
How many words can Charles type in 131313 minutes?
Answers
Surface area of a right cone.
Solve for P S=2b+ph
Answers
Lets subtract both sides by 2b
s - 2b = ph
Now, divide both sides by h
(s-2b)/h = p
Hope this helps!
Answer:
P=S-2b/h
Step-by-step explanation:
To solve this equation the first thing we do is subtract 2B from both sides of the equation. S-2b=ph+2b-2b which would give us S-2B=PH. next, we divide H from both sides of the equation which would give us the answer: S-2B/h=p
Since there are 20 standard amino acids, the number of possible linear polypeptides of length n can be expressed as:
Answers
Since there are 20 standard amino acids, the number of possible linear polypeptides of length n can be expressed as [tex]20^n[/tex].
What are Amino acids?Amino acids may be defined as compounds that significantly contain carbon, hydrogen, oxygen, and nitrogen. These compounds serve as the monomers or the building blocks of proteins that are composed of an amino group, a carboxyl group, a hydrogen atom, and a specific side chain.
Two amino acids are held together by a linkage known as peptide linkage. When a number of peptide linkages are present in the structure of the protein, it is known as polypeptides.
If any polypeptide chain is derived from 20 amino acids. So, the possibility of a combination for any polypeptide chain will be [tex]20^n[/tex], where n = the number of amino acid residues in the polypeptide chain.
Therefore, since there are 20 standard amino acids, the number of possible linear polypeptides of length n can be expressed as [tex]20^n[/tex].
To learn more about Amino acids, refer to the link:
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What does the equation y = x2 represent as a curve in the set of real numbers2?
Answers
Actually the given equation y = x^2 represents a parabola in the set of real numbers. A parabola is defined to be a symmetrical open plane curve created by the intersection of a cone with a plane parallel to its side. Since the square is on the x, therefore the parabola is opening upwards.
Answer:
Parabola
The equation y = x^2 represents a parabola as a curve
The equation is given as:
y = x^2
The above equation has a degree of 2
Polynomials that have a degree of 2 are referred to as quadratic equations
The curve of a quadratic equations are called parabola
Hence, the equation y = x^2 represents a parabola as a curve
Read more about parabolas at:
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Maria has 3/4 pound of cheese to use making sandwiches. she's used about 1/32 pound of cheese on each sandwich. how many sandwiches can she make
Answers
A retired woman has $60,000 to invest but needs to make $6,000 a year from the interest to meet certain living expenses. One bond investment pays 15% annual interest. The rest of it she wants to put in a CD that pays 7%. If we let x be the amount the woman invests in the 15% bond, how much in dollars will she be able to invest in her CD?
Answers
The interest she receives from the 15% bond is given by 0.15x while the interest she receives from the 7% CD is given by 0.07(60,000 - x) = 4,200 - 0.07x
Giving that her total annual interest is $6,000, then
[tex]0.15x+4,200-0.07x=6,000 \\ \\ \Rightarrow0.08x=6,000-4,800=1,200 \\ \\ \Rightarrow x= \frac{1,200}{0.08} =$15,000[/tex]
Therefore, the amount of dollars she will be able to invest in her CD is $60,000 - $15,000 = $45,000
Suppose that 10 of the 30 freshmen, 40 of the 60 sophomores, 5 of the 20 juniors and 40 of the 50 seniors were in favor of multiple choice exams. what is the overall estimate of the proportion of students in favor of multiple choice exams?
Answers
Elleanna is planning to join a DVD club and is investigating the options for membership. Option 1 is $20 membership fee $1.25 rental change for each DVD rented. Option 2 has no rental fee and changes $2.50 for each DVD rented. How many DVDs would Elleanna have to rent in order for the total cost of Option 1 to be equal to option 2?
Answers
option 2 : 2.50d
when will they be equal......so set them equal to each other
20 + 1.25d = 2.50d
20 = 2.50d - 1.25d
20 = 1.25d
20 / 1.25 = d
16 = d.....so they will be equal at 16 dvd rentals
Elleanna has to rent in order for the total cost of Option 1 to be equal to option 2 will be 16.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Elleanna is planning to join a DVD club and is investigating the options for membership. Option 1 is a $20 membership fee and $1.25 rental charge for each DVD rented. Option 2 has no rental fee and charges $2.50 for each DVD rented.
Let 'x' be the number of DVDs and 'y' be the total cost. Then the equations are given as,
y = 1.25x + 20
y = 2.5x
If the total cost becomes equal, then the number of DVDs rented will be given as,
2.5 = 1.25x + 20
1.25x = 20
x = 16
Elleanna has to rent in order for the total cost of Option 1 to be equal to option 2 will be 16.
More about the linear equation link is given below.
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Solve for x: u= kx + yx
Answers
u = kx + yx
u = (k+y)x
u / (k+y) = (k+y)x / (k+y)
u / (k+y) = x
x = u / (k+y)
Answer:
The value of the equation for x is [tex]x=\frac{u}{k+y}[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]u= kx + yx[/tex]
We need to solve the equation for x.
Take x common from right side as shown below:
[tex]u= x(k + y)[/tex]
Divide both the sides by k+y.
[tex]\frac{u}{k+y}=\frac{x(k + y)}{k+y}[/tex]
[tex]x=\frac{u}{k+y}[/tex]
Hence, the value of the equation for x is [tex]x=\frac{u}{k+y}[/tex].
What is the size of the largest and smallest numbers of vertices of degree 1 possible in an n-vertex tree, for n > 2?
Answers
Music may help people relax. John got two groups of people together. He took everybody's pulse of blood pressure. The one group to listen to soothing music while other group sat in silence. After the song was over, he measured everyone's pulse and blood pressure.
What is the independent variable?
What is the dependent variable?
What are the constants or control variables?
Answers
Dependent: Pulse and blood pressure
Constants: Similar rooms, similar temperature, similar heart health, same time in areas, same kind of environment, etc.
In John's experiment, the independent variable is the condition of the groups (listening to music or sitting in silence), the dependent variables are pulse and blood pressure, and the control variables could include room temperature, the timing, the duration of the experiment, and the use of consistent measurement devices.
Explanation:In this experiment conducted by John, the independent variable is the condition under which each group is placed—which is, one group listening to soothing music and the other group sitting in silence. This is the independent variable because it's the factor that John changes or manipulates during the experiment.
The dependent variables here would be the pulse and blood pressure of the individuals in both groups. These variables are considered dependent because their values may change based on the effect of the independent variable (i.e., the type of noise the group is subjected to).
The constants, or control variables, in this experiment could include the room temperature, the timing of the experiment, the duration for which the conditions are applied (the length of the song), and the same pulse and blood pressure checking device, among others. These are the factors that remain the same throughout the experiment to ensure that the results are only influenced by the independent variable and not by any other factors.
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Write word form for number 7.351
Answers
Answer:
seven point three five one thousandths
Step-by-step explanation:
A tee-ball team for 5 year-olds has half as many girls as boys. If there are 15 children on the team, how many are boys and how many are girls?
Answers
As the has half as many females as males, the number of males in the team is 10, and the number of females in the team is 5.
What is the number of males and females in the team?Given the parameter:
A team for 5-year-olds has half as many females as males.
There are 15 children on the team.
There are half as many females as males, this can be expressed as:
Let G represents females and B represents males.
G = 0.5B
Also, there are 15 children on the team, so we can write an equation based on the total number of children:
B + G = 15
Now, we solve the system of equations:
G = 0.5B
B + G = 15
First, substitute the expression for females from the first equation into the second equation:
B + 0.5B = 15
1.5B = 15
B = 15/1.5
B = 10
Plug B = 10 into the first equation and solve for females:
B + G = 15
10 + G = 15
G = 15 - 10
G = 5
So, there are 10 males and 5 females on the team.
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Is 3/47 a rational number?
Answers
3/47= 0.06383 so it is RATIONAL
Answer:
Rational.
Step-by-step explanation:
We have been given a fraction [tex]\frac{3}{47}[/tex]. We are asked to determine whether our given number is rational or not.
We know that a number is rational number, when it can be represented as a fraction of form [tex]\frac{p}{q}[/tex], where q must be a non-zero number.
Upon looking at our given number, we can see that it is a fraction and numerator is equal to 47 that is a non-zero number.
Therefore, our given number is a rational number.
Find the domain of the function. (enter your answer using interval notation.) f(x) = 5 x 3 − 1 x2 + 2x − 24
Answers
this function is a polynomial function, because all the powers of the x-es are non-negative integers.
The domain of polynomial functions is always all the real numbers.
Answer: all the Real numbers
Jim walks 3.5km every day. How far does he walk in 5 days?
Answers
5=
17. 5km
Hope it helps :)
You ate 2⁄3 of the pizza. How many twelfths is that?
Answers
What is the quotient of 7670 and 94
Answers
divide:
7670 / 94 = 81.59574468
round the answer as needed.