Given that:
Length of a rope = 224 cm
Rope is cut so that one part is 3/4 of the other.
Solution:
Let one part of a rope be x cm.
So other part of the rope is [tex]\dfrac{3}{4}x[/tex].
Total length [tex]=x+\dfrac{3}{4}x[/tex]
Now,
[tex]x+\dfrac{3}{4}x=224[/tex]
[tex]\dfrac{4x+3x}{4}=224[/tex]
Multiply both sides by 4.
[tex]7x=896[/tex]
Divide both sides by 7.
[tex]x=\dfrac{896}{7}[/tex]
[tex]x=128[/tex]
The value of one part 128 cm.
Second part [tex]=\dfrac{3}{4}x[/tex]
[tex]=\dfrac{3}{4}\times 128[/tex]
[tex]=3\times 32[/tex]
[tex]=96[/tex]
Therefore, the length of shorter rope is 96 cm and the length of longer rope is 128 cm.
Divide 2/3 divided by 1/6
Answer:4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Which graph represents a proportional relationship?
Answer:
If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.
Step-by-step explanation:
Option D is the correct answer.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value time the other.
If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. Each point (x, y) on the graph, is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.
Therefore, option D is the correct answer.
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For the function f(x) = x^2+ 3, what are the outputs for the inputs -3, 2, 0, and 5?
please help i have a learning disability with math and this is due tonight im literally having so many breakdowns
Answer:
F(-3)=12
F(2)=7
F(0)=3
F(5)=28
Step-by-step explanation:
An investment earns 11% simple interest. What amount of principal is needed to have $4500 after 6 years? Round your answer to the nearest cent.
Answer:
Step-by-step explanation:
Formula =P×R×T=I
P×11/100×6=4500
66/100p=4500
100/66×66/100=4500×100/66
P=6818.1818.......
=6818.18
HELP ASAP PLEASE!!
The picture of the problem is up above.
Find the values of x, y, and z. The diagram is not to scale.
A jar contains 5 red marbles 3 green marbles and 4 blue marbles a marble is selected without looking what is the probability that the selected marble is red?
Answer:
5/11
Step-by-step explanation:
Probability here is the chance of selection out of a total. So, we need to first find the total number of marbles.
total
=
5
+
3
+
2
+
1
=
11
So there are
11
marbles total. The probability that we pick one of the
3
green marbles out of the
11
is simply that ratio:
P
green
=
3
11
Same idea for yellow:
P
yellow
=
2
11
The probability of picking either of these colors is simply the sum of their probabilities.
P
green or yellow
=
P
green
+
P
yellow
=
3
11
+
2
11
=
5
11
Patrick is collecting data on shoe size. What type of data is this?
a. qualitative data
b. discrete quantitative data
c. continuous quantitative data
d. none of the above
The data that Patrick is collecting on shoe size is discrete quantitative data. Hence, option B is the right choice.
What is qualitative data?Qualitative data is information that cannot be counted, quantified, or stated numerically. It is derived from text, voice, and images and is disseminated via data visualization techniques such as word clouds, concept maps, graph databases, timelines, and infographics.
What is quantitative data?Quantitative data are numerical measurements of values or counts. Quantitative data are numerical variables (e.g. how many; how much; or how often).
These are of two types:
Discrete quantitative data: A discrete quantitative variable can only take particular numeric values (rather than any value in an interval), but those precise numeric values have a clear quantitative interpretation.Continuous quantitative data: A continuous quantitative data set is a data set that represents a measuring scale that can include numbers other than whole numbers, such as decimals and fractions.How to solve the question?In the question, we are informed that Patrick is collecting data on shoe size.
We are asked what type of data this will be.
As shoe sizes are given in numeric values, it is quantitative data.
And as these numbers are whole numbers, it is discrete quantitative data.
Thus, the data that Patrick is collecting on shoe size is discrete quantitative data. Hence, option B is the right choice.
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How to solve equations
What would the answer be and why?
Answer:
Solution: First option
Step-by-step explanation:
An increase in demand and a decrease in supply will cause an increase in the equilibrium price, but the effect on quantity is unclear.
Reasoning: For any quantity, the 'buyers' places a higher value on the goods, so the 'manufactures' must place higher values in order to distribute the good. Thus the price increases, but the output depends on the size of the two factors and which dominates, (1) pricing, (2) goods.
PLEASE HELP ITS TIMED!!!!!!
Answer:
C. -1
Step-by-step explanation:
f(x) = x^2 - 3x - 4g(x) = | x +3 | -2--------
f(x) = g(x)1. For x+3 ≥ 0 ⇒ x ≥ -3, g(x) = x + 3 - 2
x^2 - 3x - 4 = x + 3 - 2x^2 - 4x - 5 = 0(x- 5)(x + 1) = 0x = 5, x = -1x = -1 is one of the options2. For x + 3 < 0 ⇒ x < -3, g(x) = - (x +3) - 2
x^2 - 3x - 4 = -(x + 3) - 2x^2 - 3x -2 = -x - 3x^2 -2x + 1 = 0(x - 1)^2 = 0x = 1 > -3, so no solutionsDetermine the value of x in the figure.
Question 20 options:
A)
x = 9
B)
x = 3
C)
x = 6
D)
x = 4.5
3x - 5 =35 what is x ?
Answer:
x=403
Step-by-step explanation:
Let's solve your equation
Hey there! I'm happy to help!
We want to get x all by itself on one side to find out what it is equal to.
We add 5 to both sides.
3x=40
And we divide both sides by 3.
x=13 1/3
Have a wonderful day! :D
What is the minimum value of the graph of y = cos(x)?
Answer:-1
Step-by-step explanation:
C
Answer:
C. -1
Step-by-step explanation:
Edge 2020
Find the equation of a line with the given points. (2,- 7) (-2,9)
answers are: y=4x-17, y=2x-5, or y=-4x+1
Answer: y=-4x+1
Step-by-step explanation: the slope of the 2 points is -4 and in the answers -4x represents the slope.
Answer:
y= -4x +1
Step-by-step explanation:
Please see the attached picture for full solution.
the exchange rate of US dollars to Bolivianos is $1 to 6.91 Bolivianos. if an item in the Bolivian market costs 482 bolivianos, how many US dollars does it cost?
Answer:
77.9
Step-by-step explanation:
$1=B6.19
therefore; B6.19=$1
B1=$1\6.19
B482=$1\6.19×482
B482=482÷6.19
B482=77.8675283
B482=77.9
I can't figure out how to do this problem.
Have you tried multiplying 5(3)+2(2)+1?
15 + 4 + 1 = 20 ?
Im sorry I'm not real good with math.
Answer:
20
Step-by-step explanation:
x=3
y=2
5x +2y +1
5 ×3 +2×2 +1
15 +4 +1
20
Solve the system by graphing.
y = 3x - 4
y= - 2x + 1
-3x + 4-2x = - 4x-5
Answer:
x=9
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
-3x+4-2x=-4x-5
-3x-2x-4x=-9
-9x=-9
x=1
tomorrow 100 points jk like it up
In Test A, suppose you make 100 experimental measurements of some quantity and then calculate mean, standard deviation, and standard error of the numbers you obtain. In Test B, suppose you make 1000 experimental measurements of the same quantity and you again calculate mean, standard deviation, and standard error. How would you expect the mean, standard deviation, and standard errors found in Test A and Test B to compare?
Answer:
D. I would expect the means and standard deviations in the two tests to be about the same, but the standard error in Test B should be smaller than in Test A.
Step-by-step explanation:
Options Includes "A.) I would expect the means, the standard deviations, and the standard errors in Test A and Test B to be about the same.
B.) I would expect the means of the two tests to be about the same, but both the standard deviation and the standard error in Test B should be smaller than in Test A .
C.) I would expect the means of the two tests to be about the same, but both the standard deviation and the standard error in Test B should be bigger than in Test A .
D.) I would expect the means and standard deviations in the two test to be about the same, but the standard error in Test B should be smaller than in Test A.
E.) would expect the means and standard deviations in the two test to be about the same, but the standard error in Test B should be larger than in Test A.
Reason:
Since we are measuring the same quantity 100 times and 1000 times respectively in both the tests, we would expect the means and standard deviations to not be significantly different from each other. The standard errors would differ, though, since the formula is = Standard deviation/square root of sample size. Since the sample sizes of both the tests are so significantly different, the corresponding standard errors will also be significantly different. More specifically, the standard error of Test B will be smaller than that of Test A.
This question is based on standard deviation.Therefore, the correct option is D i.e. I would expect the means and standard deviations in the two test to be about the same, but the standard error in test B should be smaller than in test A.
Given:
In Test A,make 100 experimental measurements of some quantity. In Test B, suppose you make 1000 experimental measurements of the same quantity.
Options are include here.
Here, we are measuring the same quantity 100 times and 1000 times respectively in both the tests, we would expect the means and standard deviations to not be significantly different from each other.
The standard errors would differ, though, since the formula is
[tex]= \bold{\dfrac{Standard \;deviation}{Square \;root\; of\; sample \;size}}[/tex]
Hence,the sample sizes of both the tests are so significantly different, the corresponding standard errors will also be significantly different. More specifically, the standard error of Test B will be smaller than that of Test A.
Therefore, the correct option is D i.e. I would expect the means and standard deviations in the two test to be about the same, but the standard error in Test B should be smaller than in Test A.
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Blair's bank account was
overdrawn by $40. She spent $30 at the grocery store. What is the balance in her account now?
The addition is one of the four fundamental mathematical operations. Blair's bank balance after spending at the grocery store is -$70.
What is Addition?The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
Given that Blair's bank account was overdrawn by $40. Therefore, we can write her balance before spending at the grocery store as,
Blair's bank balance before spending at the grocery store = - $40
Now, Blair spent $30 at the grocery store. Therefore, she further takes $30 from her account. Thus, we can write Blair's bank balance after spending at the grocery store as,
Blair's bank balance after spending at the grocery store
= Blair's bank balance before spending at the grocery store + Spending
= -$40 + (-$30)
= -$40 - $30
= -$70
Hence, Blair's bank balance after spending at the grocery store is -$70.
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Please help me please please
Answer:
Step-by-step explanation:
5x - 16 = 4x + 6
x - 16 = 6
x = 22
5(22) - 16 = 110 - 16 = 94
4(22) + 6 = 88 + 6 = 94
what is 1.667 as a fraction
Step-by-step explanation:
hoped this helped have a nice day
The simplified fraction for 1.667 is 10/6.
To express 1.667 as a fraction, we can follow these steps:
Step 1: Rewrite the decimal as a fraction without the decimal point.
1.667 → 1667
Step 2: Determine the denominator by counting the number of decimal places.
In this case, the decimal has three places, so the denominator will be 1000.
Step 3: Simplify the fraction, if possible.
In this case, the fraction 1667/1000 is already in its simplest form.
Therefore, the simplified fraction for 1.667 is 1667/1000.
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21 - 6x > 34
What’s the answer
Answer:
Step-by-step explanation:
21 - 6x > 34
-6x > 13
x < -13/6
13. Generalize in the diagram shown, if x + y = 180,
label the remaining angles
as x° or yº
Answer:
See attachment
Step-by-step explanation:
If x + y = 180°, the remaining angles can be labelled as illustrated in the diagram provided in the attachment below.
To properly label the diagram so that x° + y° = 180°, you must bear in mind or recall relation between angles formed when two parallel lines are cut across by a transversal line.
x° would be congruent to any angle that is either corresponding or vertical to it.
That is, for the angles labelled x°, such an angle is either corresponding to the given x° or it is vertically opposite to it.
Consequently, where the angle labelled y° forms a linear pair with x°. Linear pair of angles add up to give 180°.
Community gym charges $50 membership fee and a $65 monthly fee. Workout gym charges a $170 membership fee and a $55 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?
Answer:
12
Step-by-step explanation:
9. write an equation of the line that passes through the points (3,7) and (5,11)
Answer:
[tex]y=2x+1[/tex] is the required equation of line.
Step-by-step explanation:
To find the equation of line [tex]y=mx+b[/tex] through (3, 7) and (5, 11) we first need to find the slope of line and then y-intercept.
[tex]\mathrm{Slope=m=\frac{y_2-y_1}{x_2-x_1}=\frac{11-7}{5-3}=2}[/tex]
Use one point and slope to find the y-intercept.
[tex]7=2\left(3\right)+b\:\quad \Rightarrow \quad \:b=1[/tex]
[tex]y=2x+1[/tex]
Best Regards!
As part of a class project a university student surveyed students in the cafeteria to look for a relationship between the students eye color and hair color the table the survey results. The percentage of the sample population with brown eyes and black hair is larger than the percentage of the sample population with blue eyes and black hair by ___ percentage points. (Round off your answer to the nearest whole number.)
Answer:
18%
Step-by-step explanation:
There are 64 students with brown eyes and black hair, and 9 students with blue eyes and black hair. A total of 303 students were surveyed, so to find the percentage you would put the number of students with that trait over the total number of students surveyed. 64/303 = 21.1221%, and 9/303 = 2.9702%. 21.1221 - 2.9702 = 18.1519. When you round that to the nearest whole number, you get 18%. Therefore, the percentage of the sample population with brown eyes and black hair is larger than the percentage of the sample population with blue eyes and black hair by 18%.
Answer:
18%
Step-by-step explanation:
i got it right. Hope this helps.
Write an expression to describe the situation. "Your cell phone costs $50 a month plus $0.25 for each text message (t).
Answer: 50x + 0.25t
Step-by-step explanation:
trust, cmon man
Answer:
50+.25(x)
Step-by-step explanation:
a jet travels 410 miles in 5 hours. At this rate, how far could the jet fly in 14 hours? What is the rate of speed of the jet
Answer:
Step-by-step explanation:
Rate X Time = distance
Therefore:
r (rate) X 5 (hours) = 600 (distance)
r = 600/5
r = 120 miles per hour
The rate of speed of the jet is 120 mph.
Then, to find out the distance flown in 13 hours:
120 (rate) X 13 (time) = d (distance)
120 X 13 = d
1560 = d
The distance flown in 13 hours is 1560 miles.
