To find out how many minutes it takes for 1 person to paint 1 wall, we can set up a proportion using the rate of 6 people painting 6 walls in 23 minutes. Cross-multiplying and solving for the unknown, we find that it would take approximately 3.83 minutes for 1 person to paint 1 wall.
Explanation:This question falls under the subject of Mathematics and is suitable for students in Middle School. To solve this problem, we can use the concept of rate. We know that 6 people can paint 6 walls in 23 minutes.
We can set up a proportion to find out how many minutes it would take for 1 person to paint 1 wall. Let x represent the unknown time:
6 people / 23 minutes = 1 person / x minutes
Cross-multiplying, we get 6x = 23. Dividing both sides by 6, we find that x = 23/6. Therefore, it would take approximately 3.83 minutes for 1 person to paint 1 wall.
Remember to always read the question carefully and identify the given information and the unknown variable in order to solve the problem accurately.
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The time that it would take for 8 people to paint the walls would be 18 minutes.
How to find the time taken ?The number of walls painted is proportional to the number of people painting, and the time it takes to paint the walls is inversely proportional to the number of people painting.
Using the following formula, we can calculate the amount of time it will take 8 people to paint the 6 walls:
Time = (Number of walls) / (Number of people) * Time per wall
Time = (6 walls) / (8 people) * 23 minutes/wall
Time = 18 minutes
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The full question is:
It takes 23 minutes for 6 people to paint 6 walls. How long would it take 8 people to paint those same 6 walls
The weights of nine different cats in pounds were used to create the box plot above. Which of the following is the interquartile range of the set of weights?
A. 11
B. 3
C. 1.5
D. 7
Answer:
the answer is B: 3
Step-by-step explanation:
you look at the verticle line on the left side of the box which represents the lower quartile then to the right of the verticle line represents the upper quartile
To find the interquartile range, subtract the lower quartile, 9.5, from the upper quartile, 12.5
12.5 - 9.5 = 3
I need help ASAP please
Answer:
A: addition property of equality
Step-by-step explanation:
bill and julio are selling wrapping paper for a school fundraiser. customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper. bill sold 8 rolls of plain wrapping paper and 10 rolls of shiny wrapping paper for a total of $328. julio sold 9 rolls of plain wrapping paper and 2 rolls of shiny wrapping paper for a total of $184. find the cost each of one roll of plain wrapping paper and one roll of shiny wrapping paper
Answer:
Plain rolls: $16
Shinny rolls: $20
Step-by-step explanation:
So, we have 2 equations to start with, let p = plain rolls and s = shinny rolls:
1) 8p + 10s = 328
2) 9p + 2s = 184
We need to isolate one variable, usually I go for the one with the lowest multiplicative... so let's go for the '2s' and isolate the s from equation 2.
2s = 184 - 9p
3) s = (184 - 9p) / 2
And let's place that s equivalent into the first equation:
8p + 10 (184 - 9p)/2 = 328
8p + 5(184 - 9p) = 328
8p - 45p + 920 = 328
-37p = -592
p = 16
Then we go into any of the 3 equations to get the value of s. Let's take the 3rd equation, it will be simpler:
s = (184 - 9p) / 2 = (184 - 9*16) / 2
s = (184 - 144)/2 = 40/2 = 20
Then last step, we enter the values for s and p in one of the first equations to validate it. We haven't worked with first equation, so let's use that one:
8p + 10s = 328
8 (16) + 10 (20) = 328
128 + 200 = 328
328 = 328
Confirmed!
Angelos pet rabbit weighs 1 pound less than twice the weight of Carmen’s pet rabbit.Angelos rabbit weighs 9 pounds. Write an equation that can be used to find w, the weight of Carmen’s pet rabbit. I need the answer plsss???!!!
The required weight of Carmen's rabbit is given as 5 pounds and the equation is given as 9 = 2x -1.
As mentioned in the question,
Angelos's pet rabbit weighs 1 pound less than twice the weight of Carmen’s pet rabbit. Angelos rabbit weighs 9 pounds.
The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let the weight of the Carmen's be x,
According to the question,
Angelos pet rabbit weighs,
9 = 2x -1
x = 5
Thus, the required weight of Carmen's rabbit is given as 5 pounds.
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To find the weight of Carmen's pet rabbit, an equation is set up: 2w - 1 = 9, where w represents the unknown weight of Carmen's rabbit. Solving the equation, we find that Carmen's rabbit weighs 5 pounds.
Explanation:To find the weight of Carmen's pet rabbit, we first need to translate the given information into a mathematical equation. The problem states that Angelo's pet rabbit weighs 1 pound less than twice the weight of Carmen's pet rabbit and Angelo's rabbit weighs 9 pounds. Let's denote the weight of Carmen's rabbit as w. The relationship can be written as:
2w - 1 = 9
To solve for w, we add 1 to both sides of the equation:
2w - 1 + 1 = 9 + 1
2w = 10
Now, we divide both sides by 2 to get the weight of Carmen's rabbit:
2w / 2 = 10 / 2
w = 5
Therefore, Carmen's pet rabbit weighs 5 pounds.
You have violin lessons every fourth day and singing lessons every
fifth day. Today you have both lessons. In how many days will you
have both lessons on the same day again?
Answer:
Every 20 days.
Step-by-step explanation:
I just did 5 times 4 to get the answer
In 20 days there will be both lessons on the same day again.
What is combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given:
Violin class= 4th day
singing lesson= 5th day
So, the possible number of days on which we have both violin and singing class
=4 x 5
=20 days
Hence, 20 days there will be both lessons on the same day again.
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4th grade math and idk how to do it!!!
The answer would be 4/10.
3/10 + 4/10 = 7/10
Answer:
[tex]\frac{4}{10}[/tex] or when it's simplified [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]\frac{7}{10} - \frac{3}{10}=\frac{4}{10}=\frac{2}{5}[/tex]
find the sum of -6/ab + a^2/b^2
Answer:
[tex]\frac{1}{ab^{2} }[/tex] (a³ - 6b)
Step-by-step explanation:
[tex]\frac{-6}{ab} + \frac{a^{2} }{b^{2} }[/tex]
= [tex]\frac{-6b + a^{3} }{ab^{2} }[/tex]
= [tex]\frac{1}{ab^{2} }[/tex] (a³ - 6b)
Use a substitution to differentiate the expression with respect to x:
[tex] \frac{1}{x + 1} + x[/tex]
[tex]\bf y=\cfrac{1}{x+1}+x\qquad \qquad \begin{cases} u=x+1\\ \frac{du}{dx}=1\\[-0.5em] \hrulefill\\ u-1=x \end{cases}\qquad \qquad y=\cfrac{1}{u}+(u-1) \\\\\\ y=u^{-1}+u-1\implies \cfrac{dy}{du}=\stackrel{\textit{chain-rule}}{-u^{-2}\cdot \cfrac{du}{dx}}+\stackrel{\textit{chain-rule}}{1\cdot \cfrac{du}{dx}}+0 \\\\\\ \cfrac{dy}{dx}=-\cfrac{1}{u^2}\cdot 1+1\cdot 1\implies \cfrac{dy}{dx}=-\cfrac{1}{u^2}+1\implies \cfrac{dy}{dx}=-\cfrac{1}{(x+1)^2}+1[/tex]
|5x-4|>16 solutions
Answer:
x >4 or x < -12/5
Step-by-step explanation:
An absolute value has 2 solutions, a positive and a negative. Remember to flip the inequality for the negative solution
|5x-4|>16
5x-4 > 16 5x-4 < -16
Add 4 to each side
5x-4 +4> 16+4 or 5x-4+4 < -16+4
5x > 20 or 5x < -12
Divide each side by 5
5x/5 > 20/5 or 5x/5 < -12/5
x >4 or x < -12/5
Which expression could be used to find the distance between point A and point B?
(A) |-4-1|
(B) |-4-(-1)|
(C) |-1+4|
(D) |-1-(-4)|
Answer:
D
Step-by-step explanation:
because it seem to be correct
D is the answer.....!!!!!
|5−4(x+2)| =3
PLZ ANSWER!
Answer:
5-4(x+2)=3
1(x+2)=3
1x+2=3
3-2=1
Step-by-step explanation:
x=1
Which determinants can be used to solve for x and y in the system of linear equations below?
Answer:
The right answer is the first answer
Step-by-step explanation:
Look to the attached file
Answer:
The correct answer option is A. [tex]|A|=\begin{vmatrix}-3 &2 \\ 4&-15 \end{vmatrix}\\\\\\|A_{x}|=\begin{vmatrix}-9 &2 \\ -25 &-15 \end{vmatrix}\\\\\\|A_{y}|=\begin{vmatrix}-3 &-9 \\ 4 &-25\end{vmatrix}[/tex].
Step-by-step explanation:
We are given the following system of linear equations:
[tex]-3x+2y=-9[/tex]
[tex]4x-15y=-25[/tex]
We can create a matrix AX = b where A is a 2×2 matrix created by the coefficients of x and y and b is a 2×1 matrix formed by the term after equality.
So the correct answer option is:
[tex]|A|=\begin{vmatrix}-3 &2 \\ 4&-15 \end{vmatrix}\\\\\\|A_{x}|=\begin{vmatrix}-9 &2 \\ -25 &-15 \end{vmatrix}\\\\\\|A_{y}|=\begin{vmatrix}-3 &-9 \\ 4 &-25\end{vmatrix}[/tex]
Given:f=(5,- -1/5) and g=(-1,3/10) find 3f+5g
Please help please help
Answer:
D
Step-by-step explanation:
The tenth column value is the first after the decimal point, that is 3
To round the required value of 3
• If the value following 3 ≥ 5, round 3 up to 4
• If the value following 3 < 5 , then leave as 3
Here the value following 3 is 5 so round 3 up to 4
All other digits remain unchanged.
Thus
3, 295.351 ≈ 3, 295.4 → D
What's the correct answer?
I think it's C but don't quote me on that I don't know
look at picture and plzz help me
Answer: A
Step-by-step explanation:
factor out the greatest perfect foot factorthe root of a product is equal to the product of the roots of eachotherreduce the index of the radical and exponet with 5For this case we must simplify the following expression:
[tex]\sqrt [5] {224x ^ {11} * y ^ 8}[/tex]
We follow the steps below:
We rewrite 224 as the product of: 32 * 7
[tex]\sqrt [5] {32 * 7 * x ^ {11} * y ^ 8} =[/tex]
We rewrite [tex]32\ as\ 2 ^ 5, x^{11}\ as\ x * x^{10}:[/tex]
[tex]\sqrt [5] {2 ^ 5 * 7 * x ^ {10} * x * y ^ 8} =[/tex]
We rewrite [tex]x^{10}[/tex] as [tex](x ^ 2) ^ 5,[/tex] we also rewrite [tex]y ^ 8[/tex] as [tex]y ^ 5 * y ^ 3:[/tex]
[tex]\sqrt [5] {2 ^ 5 * 7 * (x ^ 2) ^ 5 * x * y ^ 5 * y ^ 3} =[/tex]
We reorder:
[tex]\sqrt [5] {2 ^ 5 * (x ^ 2) ^ 5 * y ^ 5 * 7 * x * y ^ 3} =\\\sqrt [5] {(2 * x ^ 2 * y) ^ 5 * (7 * x * y ^ 3)} =[/tex]
We take the terms of the radical considering that: [tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
[tex]2 x ^ 2y \sqrt [5] {7 x y ^ 3}[/tex]
Answer:
Option A
Help me asap!!!!! Very important!!
Answer:
strong negative linear correlation-0.986Step-by-step explanation:
You need to notice that when altitude goes up, temperature goes down. That means the correlation is negative.
The table shows the temperature decrease to be monotonic (nowhere does it go up when altitude increases), so the correlation is strong.
The strong negative correlation number available to you is -0.986.
___
If you want confirmation, you can put the numbers into your favorite graphing calculator and tell it to compute the correlation for you.
(07.02 LC)
Ash recycles 7 plastic bottles every week. Which expression shows the total number of plastic bottles he recycles in w weeks? (1 point)
7 + w
7 + 7w
7w
w over 7
Answer: 7w
Step-by-step explanation:
In one week, Ash recycles 7 * 1 = 7 bottles
In two weeks, Ash recycles 7 * 2 = 14 bottles
So, in w weeks, he recycles 7 * w = 7w bottles!
Hope this helps!
Answer:
7w is the correct answer
Step-by-step explanation:
twice the difference of a numbrr and 8 is equal to 2.twice the difference of a number and 8 is equal to 2
Answer:
2(x-8)=8
x=12
Step-by-step explanation:
The equation for the given statement is 2(x-8)=2.
The given statement "Twice the difference of a number and 8 is equal to 2
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, the difference between a number and 8 can then be written as 'x-8'. Twice that amount would be 2(x-8). If it's equal to 2, you can say 2(x-8)=2.
Therefore, the equation for the statement is 2(x-8)=2.
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Please answer photo below thank you :’)
Answer:x2_>16 B.
Step-by-step explanation:
For this case we will show that the correct option is option C.
[tex]x ^ 2 \leq16[/tex]
We find the value of the variable "x":
We apply root to both sides of the equation to eliminate the exponent:
[tex]x \leq \pm \sqrt {16}\\x \leq \pm4[/tex]
We found the first solution with the positive value:
[tex]x \leq4[/tex]
We use the negative value to find the other solution. Since it is an inequality, the sign of the inequality changes in the negative portion of the solution.
[tex]x \geq-4[/tex]
So, the roots are:
[tex]x_ {1} \geq-4\\x_ {2} \leq + 4[/tex]
The solution is given by the values of "x" greater than or equal to -4 and less than or equal to 4
Answer:
Option C
By visual inspection, determine the best-fitting regression model for the data plot below.
A) Exponential
B) No pattern
C) Linear decreasing
D) Linear increasing
Answer:
A) exponential
Step-by-step explanation:
It is in a curving pattern which indicates exponential. Linear is a straight line.
The best-fitting regression model for the considered data plot is given by: Option A: Exponential.
What is fitting of curve for a data plot?When the data shows some trend, either linear (making a line), or non-linear (a predictable curve), we fit a mathematical curve on that data set, as a representative of the pattern in that data set, to predict the output based on the inputs.
The considered plot is not forming a straight line(so no linear fitting), but we can see that a smooth curve can be fitted in the considered data. Since the exponential functions' graph approximately goes the same way (for positive exponent, and increasing value of output).
Thus, the best-fitting regression model for the considered data plot is given by: Option A: Exponential.
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what the mean "let bygone be bygone"
Answer:
let the past stay in the past
Step-by-step explanation:
Last week Bryan traveled 4 miles by a bus, 18 miles by a train, 11 miles by a van, 33 miles by a car, 7 miles by a bike and walked 2 miles.
What is the range in miles for the different ways that Bryan traveled?
FOUND ANSWER: 31
Answer:
[tex]\boxed{\text{[2, 33]}}[/tex]
Step-by-step explanation:
The range is the spread of the y-values (minimum to maximum distance travelled).
The minimum is 2 mi, and the maximum is 33 mi, so the range is from 2 to 33.
In interval notation, the range is [tex]\boxed{\textbf{[2, 33]}}[/tex]
Answer:
31
Step-by-step explanation:
31
The range is the difference between the largest and smallest number.
range = biggest − smallest = 33 − 2 = 31
Solve the follwoing questions: a. 17 x 10 = b. 24 x 100 = c. 6 x 1000 =
Answer:
a. 17 x 10 = 170
b. 24 x 100 = 2,400
c. 6 x 1000 = 6000
Step-by-step explanation:
Answer:
a. 170
b. 2,400
c. 6,000
Step-by-step explanation:
You need to make the multiplications that are indicated in each option:
Option a: you only need to multiply the first factor (17) by the digit that is not zero (1) of the second factor (10), and then write all the zeros that has the second factor:
[tex]17*10=170[/tex]
Option b: you need to multiply the first factor (24) by the digit that is not zero (1) of the second factor (100), and then write all the zeros that has the second factor:
[tex]24*100=2,400[/tex]
Option c: you have to multiply the the first factor (6) by digit that is not zero (1) of the second factor (1000), and then write all the zeros that has the second factor:
[tex]6*1,000=6,000[/tex]
Choose the linear inequality that describes the graph. The gray area represents the shaded region.
y > –5x – 3
y > –5x + 3
y > –3x + 5
y < –5x + 3
Answer:
y > –5x + 3
Step-by-step explanation:
we know that
1) The solution of the inequality is the shaded area above the dashed line
so
The linear inequality could be
y > –5x – 3
y > –5x + 3
y > –3x + 5
2) The slope of the dashed line is negative ----> the three options have slope negative
3) The y-intercept of the dashed line is (0,3)
therefore
The linear inequality is
y > –5x + 3
Answer:
[tex]y>-5x+3[/tex]
Step-by-step explanation:
To find the linear inequality , Let pick two points from the graph
Lets pick (0,3) and (1,-2)
Lets find out slope using the points
[tex]slope =\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]slope =\frac{-2-3}{1-0}=-5[/tex]
Slope m= -5
y intercept b= 3
Equation of the line is y=mx+b
[tex]y=-5x+3[/tex]
Now we look at the shaded part. we use test point (0,0)
(0,0) is not in the shaded region
[tex]y=-5x+3[/tex]
[tex]0=-5(0)+3[/tex]
0 >3 is false
[tex]y>-5x+3[/tex]
If P (x,y) is the point on the unit circle defined by real number 0, then csc0=_.
Answer:
cscθ = [tex]\frac{1}{y}[/tex]
Step-by-step explanation:
cscθ = [tex]\frac{Hypotenuse}{opposite}[/tex]
For a unit circle, radius = 1
hence, hypotenuse = 1
opposite = y
cscθ = [tex]\frac{1}{y}[/tex]
Teresa's bread recipe uses 18 cups of flour and 6 cups of sugar to make some bread. What is the ratio of sugar to flour in lowest terms?
HALPPPPP QUICKLY PLZ, IF U CAN! :) PLLLLLLLLEEEEEEEAAASSSSEEEEE
Answer:
The ratio of sugar to flour in it's lowest terms is 1:3.
4(x+1.5)=38 solve for x
Answer:
x = 8
Step-by-step explanation:
4(x+1.5)=38
Distribute the 4
4x +6 = 38
Subtract 6 from each side
4x+6-6 = 38-6
4x = 32
Divide each side by 4
4x/4 = 32/4
x = 8
If f(x)= square root 4x+9+2which inequality can be used to find the domain of f(x)?
Answer:
The domain is
x ≥ -11/4
Step-by-step explanation:
Please, see attached images below
The equation is
f(x) = √(4x+9+2)
f(x) = √(4x+11)
Since the argument of the root must be positive or equal to zero
4x +11 ≥ 0
x ≥ -11/4
The domain is
x ≥ -11/4
Which graphical display is best used to organize numerical data in ascending order?
scatter plot
line graph
box-and-whisker plot
stem-and-leaf plot
Answer:
line graph
Step-by-step explanation:
Line graphs easily help the visual learner to interpret data and understand peaks and decreases in certain levels. It connects data points and allows people to see what is actually going on.
Answer:
line graph
Step-by-step explanation:
The explanations of each plot are:
Scatter plot
It is used to see the correlation between two variables. The correlation can be positive (increases), negative (decreases) or zero (no correlation at all). This plot can be used to draw a trend line to study the correlation between variables using an equation, generally a line and which prosses is call line regression.
Line graph
Is like the scatter plot but instead of leaving the data or points without connection the line graph connects the points, representing the data, with a line, so to easily show a tendency between variables, which generally tends to increase.
This plot is an easy way to show a tendency, but the scatter plot can give more statistical information about a correlation between variables.
box-and-whisker plot
Shows the median and the quartiles of the data, i.e. shows a interval in which the recollected data can be found and its frequency of repetition.
stem-and-leaf plot
Allows to simultaneously see the frequency distribution of the variable and its graphic representation and its constructed by separating, in each data, the last digit of the right (the leaf) to the remaining digits (the Stem).
So, to easily show numerical data in ascending order it can be used the line graph, but it can be used de scatter plot to give deeper statistical information too.