Answers
Answer:
x = 20°
Step-by-step explanation:
If you have any questions about the way I solved it , don't hesitate to ask me in the comments below ;)
Related Questions
YOU GET BRAINLIEST IF CORRECT Kipton then takes off the jellybeans and puts on 10 brand-new pink erasers. The scale reads 312.4 grams. How much would you expect 1,000 pink erasers to weigh? Why?
Answers
Answer:
Task
Kipton has a digital scale. He puts a marshmallow on the scale and it reads 7.2 grams. How much would you expect 10 marshmallows to weigh? Why?
Kipton takes the marshmallows off the scale. He then puts on 10 jellybeans and then scale reads 12.0 grams. How much would you expect 1 jellybean to weigh? Why?
Kipton then takes off the jellybeans and puts on 10 brand-new pink erasers. The scale reads 312.4 grams. How much would you expect 1,000 pink erasers to weigh? Why?
IM Commentary
The purpose of this task is to help students
Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left (5.NBT.1)
By setting the task in the context of weighing objects and bundles of 10, 100, and 1,000 objects, it helps students visualize that bundling 10 units of a given place value will create 1 unit of the next highest place value. For example, taking 10 of an item that weighs 4.2 grams will result in 42 grams because it is 10 groups of 4 grams that weights 40 grams all together, and 10 groups of 0.2 grams that weigh 2 grams all together. The task allows students to explore both the structure of our place value system and how we use that to efficiently multiply and divide powers of 10.
Though this task is written as questions to be discussed or answered by students, the parts of this task are most valuable as a set of scenarios to be infused throughout a unit on place value. The teacher can actually bring in a digital scale and go through a series of explorations with students. It might be natural to start with students weighing one object and making predictions about how much 10 or 100 of these objects would weigh. From there, the teacher may want to have students start weighing sets of 10 or 100 objects and work backwards to think about the weight of 1 object.
The digital scale has several advantages: the weight will always appear in decimal form, thereby making it perfect for students to start reasoning about shifts in decimal place value from a more intuitive place. Moreover, the digital scale will not always show the expected answer. For example, something that weighs 3.5 grams alone might weigh 35.4 grams (rather than 35 grams) when taken as a group of 10. This slight difference provides an excellent opportunity to talk about rounding error. It also requires students to think beyond the rules of sliding a decimal point to the right when multiplying by powers of 10.
If students were still developing the rules for multiplying and dividing by powers of 10, this task would also incorporate MP8, Look for and express regularity in repeated reasoning. It also incorporates parts of MP6, Attend to precision, in that a higher-level discussion will push students to reason why one marshmallow might weigh 7.2 grams, but 10 marshmallows might weigh 7.19 grams. See the solution for part (a) for further elaboration.
Solution
Solution:
10 marshmallows should weigh 72 grams. Students might use repeated addition, multiplication or reason that each digit’s place value will be multiplied by a factor of 10:
10×(7+0.2)(10×7)+(10×0.2)70+272===
If students have had practice using digital scales in class, some students might respond with guesses that are close such as 73 grams or 72.4 grams because the original 7.2 grams may have been rounded to the nearest tenth. If, for example, the original actual weight were 7.24 grams, then the weight of ten marshmallows on a scale that rounds to the nearest tenth of a gram would be 72.4 grams.
1 jellybean should weigh 1.2 grams. Students may come to the solution a number of ways.
Students might notice that dividing 12 by 10 could be expressed in fraction form 1210. Students might further reason that
1210=1010+210
or 1.2.
Students might alternately reason that 12÷10 is the same as
(10÷10)+(2÷10)=1+0.2=1.2
Students might also use the rule that they are beginning to develop about sliding the decimal point one place to the left to divide by 10.
1,000 pink erasers should weigh about 31,240 grams. Students may come to the solution a number of ways:
A student might reason that first, it would be necessary to find out what 100 erasers would weigh by multiplying by a factor of 10 and then further multiplying by another factor of 10 to find out what 1,000 erasers would weigh. This is represented by
312.4×10×10
In this solution method, the student reasoned that multiplying by a factor of 10 and then another factor of 10 would be the same as multiplying by a factor of 100:
312.4×10×10312.4×100100×(300+10+2+0.4)30,000+1,000+200+4031,240====
Another student might want to find the weight of a single eraser. If 10 erasers weigh 312.4 grams, then one eraser must weigh 31.24 grams. From there the student could multiply the weight of one eraser by a factor of 1,000:
1000×(30+1+0.22+0.04)30,000+1,000+200+4031,240==
Step-by-step explanation:
You would expect 1,000 pink erasers to weigh 31,240 grams.
If 10 erasers weigh 312.4 grams, and to get 1,000 you multiply by 100, if you multiply 312.4 by 100 you get 31240.
Or if you use rates
\(\frac{312.4}{10} =\frac{31240}{1000}\)
(when you multiply by 100)
The local newspaper has letters to the editor from 10 people. If this number represents 4% of all of the newspaper's readers, how many readers does the newspaper have?
Answers
Answer:
The local newspaper has 250 readers in total
Step-by-step explanation:
Given that
Letter to the editor = 10
Also it is given that 10 is the 4% of total readers of the newspaper.
Let x be the number of readers of the newspaper
It can be written as:
\(10 = 4\%\ of\ x\)
Converting the percentage into decimal
\(10 = 0.04x\\\frac{10}{0.04} = \frac{0.04x}{0.04}\\x = 250\)
The newspaper has 250 readers.
Hence,
The local newspaper has 250 readers in total
cpt-memorial is normally distributed with a mean of 23 minutes and a standard deviation of 10 minutes. what is the z-score for a 34 minute wait?
Answers
The z-score for a 34-minute wait time in the cpt-memorial distribution is 1.1.
The z-score is a measure of how many standard deviations away from the mean a particular value falls. It is calculated by subtracting the mean from the value of interest and then dividing by the standard deviation.
In this case, we want to find the z-score for a 34 minute wait when the mean is 23 minutes and the standard deviation is 10 minutes.
z = (34 - 23) / 10
z = 1.1
So the z-score for a 34 minute wait is 1.1. This means that a 34 minute wait is 1.1 standard deviations above the mean wait time for cpt-memorial.
We can use this z-score to determine the percentage of wait times that fall below or above 34 minutes by using a standard normal distribution table. For example, a z-score of 1.1 indicates that approximately 86.42% of wait times are below 34 minutes, while 13.58% of wait times are above 34 minutes.
Overall, the z-score is a useful tool for understanding how a particular value relates to the distribution of a dataset.
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jen smith has decided to become her own boss after spending 5 years as an assistant manager for a restaurant. the owner of a local sandwich store wants to sell the store to jen for $65,000 to be paid in installments of $13,000 in each of the next 5 years. according to the current owner, the store brings in revenue of about $110,000 per year and incurs operating costs of about 63% of sales. thus, once the store is paid for, jen should make about $35,000 -$40,000 per year before taxes. until the store is paid for, she will make substantially less-but she will be her own boss. realizing that some uncertainty is involved in this decision, jen wants to simulate what level of net income she can expect to earn during the next 5 years as she operates and pays for the store. in particular, she wants to see what could happen if sales are allowed to vary based on a normal distribution with mean of $100,000 and standard deviation of $10,000, and if operating costs are allowed to vary uniformly between 60% and 65% of sales. assume that jen's payments for the store are not deductible for tax purposes and that she is in the 28% tax bracket. a. create a spreadsheet model to simulate the annual net income jen will receive during each of the next five years if she decides to buy the store. (3 points) b. given the money she has in savings; jen thinks she can get by for the next five years if she can make at least $12,000 from the store each year. run 100 simulation (replication) and find the probability that jen will make at least $12,000 in each of the next five years? (1 point) c. what is the probability (based on 100 simulation) that jen will make at least $60,000 total over the next five years? (1 point)
Answers
Jen simulated her net income over 5 years assuming sales vary based on a normal distribution $100,000 and operating costs 60% and 65% of sales. keeping the loan payment be fixed at $13,000. The probability of making at least $12,000 each year is the number of successful simulations divided by 100. and at least $60,000 total over 5 years based as the number of successful simulations divided by 100.
To simulate Jen's annual net income over the next 5 years, a spreadsheet model can be created with columns for year, sales, operating costs, loan payment, and net income.
For each year, the sales can be generated from a normal distribution with mean $100,000 and standard deviation $10,000, and the operating costs can be generated from a uniform distribution between 60% and 65% of sales.
The loan payment can be fixed at $13,000, and the net income can be calculated as the difference between the sales, operating costs, loan payment, and taxes (28% of net income).
To find the probability that Jen will make at least $12,000 in each of the next five years, 100 simulations can be run using the model created in part a. For each simulation, the net income for each of the next five years can be calculated, and if the minimum net income is at least $12,000 for each year, then the simulation is counted as a success.
The probability of success can be calculated as the number of successful simulations divided by 100.
To find the probability that Jen will make at least $60,000 total over the next five years, 100 simulations can be run using the model created in part a. For each simulation, the total net income over the next five years can be calculated, and if it is at least $60,000, then the simulation is counted as a success.
The probability of success can be calculated as the number of successful simulations divided by 100.
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I’ll give brainliest
Answers
Answer:
B
Step-by-step explanation:
We know that it costs 37 cents to mail a letter that weighs 1 oz or less. This would mean that for x ≤ 1, P(x) should equal 37. Already, we can eliminate A and D.
We also know that it costs an additional 26 cents for at most another ounce added to the original 1 ounce. This means that for 1 < x ≤ 2, P(x) = 26 + 37 = 63. This is shown by B.
Thus, the answer is B.
~ an aesthetics lover
Converting Real Life Scale.. -Page 2-
NEED HELP ASAPPP 50 POINTS
(picture is linked belowww)
tysm like fr <33
Answers
The table with the scale measurements is given by the image shown at the end of the answer.
How to obtain the measurements?The measurements are obtained applying the proportion given for each table.
The symbols are given as follows:
': feet.'': inches.For the first table, we have that every inch on the table represents one feet in real life, hence:
2'' on the paper represents 2' in real life.2' on the paper represents 24' in real life. (as one feet = 12 inches, hence 24 inches = 24 feet according to the scale).0.5'' on the paper represents 0.5' in real life.9'' on the paper represents 9' in real life.For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:
2'' on the paper represents 4' in real life.2' on the paper represents 48' in real life.0.5'' on the paper represents 1' in real life.9'' on the paper represents 18' in real life.More can be learned about scale measurements at https://brainly.com/question/29229124
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Over which interval is the graph of the parent absolute value function decreasing?
(–[infinity], [infinity])
(–[infinity], 0)
(–6, 0)
(0, [infinity])
Answers
The graph of the parent absolute value function is decreasing over the interval (-∞, 0). The function exhibits a decreasing behavior as x moves from negative infinity towards zero, where the absolute value decreases.
The parent absolute value function is defined as f(x) = |x|. To determine where the graph of this function is decreasing, we need to identify the intervals where the function's slope is negative.
Let's analyze the behavior of the parent absolute value function:
For x < 0, the function can be rewritten as f(x) = -x. In this interval, the function is a linear function with a negative slope of -1. As x decreases, f(x) also decreases, indicating a decreasing behavior.
For x > 0, the function remains f(x) = x. In this interval, the function is a linear function with a positive slope of 1. As x increases, f(x) also increases, indicating an increasing behavior.
At x = 0, the function is not differentiable since the slope changes abruptly from negative to positive. However, it is worth noting that the function does not strictly decrease or increase at x = 0.
Therefore, we can conclude that the graph of the parent absolute value function is decreasing over the interval (-∞, 0).
In this interval, as x moves from negative infinity towards zero, the function values decrease. The farther away x is from zero (in the negative direction), the larger the absolute value, resulting in a decrease in the function values.
On the other hand, the graph of the parent absolute value function is increasing over the interval (0, ∞), as explained earlier.
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A local health care company wants to estimate the mean weekly elder day-care cost. A sample of 10 facilities shows a mean of $250 per week, with a standard deviation of $25. What is the 90% confidence interval for the population mean?
Answers
Answer:
Step-by-step explanation:
Mean "X"=250
s = 25
n=10
Because Standard deviation is unknown and sample size is small, we must employ the T-distribution
df=n-1 = 10-1
df=9
For 90% confidence, t = 1.833
E=t*s/\(\sqrt{n\\\) = 1.833*(25/\(\sqrt{10}\))
E=14.49
The 90% confidence interval is X±E=250±14.49 or 235.51, 264.49
The average score of students in the first group is 39, the second group is 32, and the third group is 43. If the numbers of students in the three groups are 24, 26, and 27, respectively, find the average score of all students.
Answers
The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.
The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.
To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.
Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929
Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.
This means that the overall performance of all the students is slightly below the average of the scores in each group.
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1 -1 plus 23 plus 59 times 3 - 2 =
Answers
Answer:
1-1+23+59×3-2
=1-1+23+177-2
=0+23+175
=198
The ans is 198
Hope it helps :)
Triangle ABC is a right triangle.
Triangle A B C. Angle A is x degrees, B is 90 degrees, C is (x minus 10) degrees. The exterior angle to angle C is (2 x + 40) degrees.
Which equations can be used to find the value of x? Check all that apply.
x + 90 + (x minus 10) = 180
x + 90 + (2 x + 40) = 180
2 x + 80 = 180
x + 90 = 2 x + 40
(x minus 10) + 90 = 2 x + 40
Answers
Answer:
x + 90 + (x minus 10)= 180° can be used to find the value of x.
Answer:
A) X+90+ (x-10) - 180
C) 2x+80 = 180
D) x+90 = 2x+40
Step-by-step explanation:
HELP ITS URGENT
Find the value of x.
Answers
Answer:
Step-by-step explanation:
Exterior angle property:
Exterior angle of a triangle equals the sum of opposite interior angles
∠WBC = ∠D + ∠C
18x + 5 = 46 + 8x - 1
18x + 5 = 8x + 45
Subtract 5 from both sides
18x = 8x + 45 -5
18x = 8x + 40
Subtract 8x from both sides
18x - 8x = 40
10x = 40
Divide both sides by 10
x = 40/10
x = 4
In Exercises 1 through 4, describe the set by listing its elements. 1. {x €R[x² = 3} 3. {m Zmn = 60 for some n € Z} 2. {m Zm² = 3} 4. {m € Z m² m < 115}
Answers
The set can be described as {-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
{x €R[x² = 3} can be described by listing its elements as: {√3, -√3}. Thus, the set can be described as {√3, -√3}.2. {m € Zm² = 3} can be described by listing its elements as:
This set has no elements as there are no integers whose square is equal to 3. Thus, the set can be described as {} or the null set.3.
{m Zmn = 60 for some n € Z} can be described by listing its elements as: This set has an infinite number of elements.
Some of them are:
{1,60}, {2,30}, {3,20}, {4,15}, {5,12}, {6,10}, {-1,-60}, {-2,-30}, {-3,-20}, {-4,-15}, {-5,-12}, and so on.
The set can be described as
{(-n, -60/n), (n, 60/n)| n € Z - {0}}.4. {m € Z m² m < 115}
can be described by listing its elements as:
{-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
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Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
Answers
Answer:
\(\textsf{a)} \quad y=-4x+19\)
\(\textsf{b)} \quad y=\dfrac{1}{4}x+2\)
Step-by-step explanation:
From inspection of the graph, two points on the line are:
(1, 6)(2, 2)Substitute these points in the slope formula to find the slope of the line:
\(\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{2-6}{2-1}=\dfrac{-4}{1}=-4\)
Part (a)Lines that are parallel have the same slope.
Therefore, a line parallel to the given line has a slope of -4.
To write an equation of the parallel line, substitute the found slope and point (4, 3) into the point-slope formula and rearrange:
\(\implies y-y_1=m(x-x_1)\)
\(\implies y-3=-4(x-4)\)
\(\implies y-3=-4x+16\)
\(\implies y=-4x+19\)
Part (b)If two lines are perpendicular to each other, their slopes are negative reciprocals.
Therefore, a line perpendicular to the given line has a slope of ¹/₄.
To write an equation of the parallel line, substitute the found slope and point (4, 3) into the point-slope formula and rearrange:
\(\implies y-y_1=m(x-x_1)\)
\(\implies y-3=\dfrac{1}{4}(x-4)\)
\(\implies y-3=\dfrac{1}{4}x-1\)
\(\implies y=\dfrac{1}{4}x+2\)
Evaluate 11.5x + 10.9y when x = 6 and y =7
Answers
The value of the algebraic expression 11.5x + 10.9y at x = 6 and y = 7 is 145.3
What is an algebraic expression?
Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division
The given algebraic expression is 11.5x + 10.9y
We have to find the value of the algebraic expression at x = 6 and y = 7
Putting x = 6 and y = 7 in the algebraic expression,
\(11.5 \times 6 + 10.9 \times 7\)
69 + 76.3
145.3
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For what value of x does 625 = 5 superscript 6 minus 2 x?
Answers
This are functions that increases geometrically. The value of x for the expression is true is 1
Exponential functionsThis are functions that increases geometrically. Given the expression below:
\(625=5^{6-2x}\)
Write both sides to the base of 5
\(5^4 = 5^{6-2x}\)
Cancel the base to have:
4 = 6 - 2x
-2x = -2
x = 1
Hence the value of x for the expression is true is 1
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Answer:
a) 1
Step-by-step explanation:
edg 2022
What is 6 (-2y+4) simplified
Answers
Answer:
-12y+24
Step-by-step explanation:
I used math---------way , so it is correct. brainliest please!
Answer:
Step-by-step explanation:
6 (-2y+4)
First, we use the distributive property to substitute the terms.
(-12y + 24)
Then we divide 24 by -12 to get -2.
24/-12 = -2.
y = -2
The test scores of 8 students are shown in the table above. Let m be the mean of the scores and M be the median of the score. What is the value of M-m?
Answers
Answer:
0
Step-by-step explanation:
Both M and m equal 81
The resultant value of the difference of Median and Mean will be 0.
Define Mean, Median and Mode for a given set of data.The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.
The median is the middle value when a data set is ordered from least to greatest.
The mode is the number that occurs most often in a data set.
Given is the test scores of 8 students are shown in the table.
We can write the data in the order least to greatest as -
67, 75, 75, 75, 87, 87, 91, 91
Mean = 648/8 = 81
Median = (75 + 87)/2 = 81
So, we can write (Median- Mean) as 81 - 81 = 0
Therefore, the resultant value of the difference of Median and Mean will be 0.
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James made 20 basketball shots in 15 minutes.
What is the number of basketball shots James can make in 45 minutes?
A
34
В.
7
с
60
D
45
Answers
Answer: C
Step-by-step explanation:
15x3=45 so that means you would have to multiply 20 by 3 so 20x3=60
please help, thanks. hdjsiejebehejsjdhdhdbdbdbdhdhdhhdndbdjdjdjdjdnd sorry have to get 20 characters to ask the question
Answers
Answer:
Angles E and G are CONGRUENT to each other because they are VERTICAL angles
Work out
a) √11 ×√11
Answers
Answer:
11
Step-by-step explanation:
√11 = 3.31662479036
3.31662479036 × 3.31662479036 = 11
Hope this helps, have a great day!
1= 452 = 6x + 153= 2x + 5
Answers
Answer:
Your answer is 8x+607
Step-by-step explanation:
Who many times larger is f(x)=-2.5x^2+2.5x+5 than g(x)=-x^2+6x+2
Answers
f(x) is 5/2 times larger than g(x) for large positive or negative values of x, except at the two values x = 3 ± √7 where the expression is undefined.
What is a function?A relation is a function if it has only One y-value for each x-value.
To find out how many times larger f(x) is than g(x), we need to divide the value of f(x) by the value of g(x).
Then we simplified the expression and found that it is always larger than g(x) except at two values of x where it is undefined.
To determine how much larger f(x) is than g(x), we looked at their leading coefficients and found that f(x) is always larger than g(x) for large positive or negative values of x.
Finally, we took the limit of f(x) / g(x) as x approaches infinity or negative infinity and found that it approaches -5/2.
Hence, f(x) is 5/2 times larger than g(x) for large positive or negative values of x, except at the two values x = 3 ± √7 where the expression is undefined.
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Use the order of operations to simplify + 8(2.5 – 0.5).
-
O A. 4
O B. 20
O c. 2
O D. 164
Answers
\( \dashrightarrow \tt8(2.5 – 0.5)\)
\( \\ \\ \)
\( \dashrightarrow \tt8(3)\)
\( \\ \\ \)
\( \dashrightarrow \tt8 \times 3\)
\( \\ \\ \)
\( \dashrightarrow \tt24\)
Answer:
16
Step-by-step explanation:
I think the question is either incorrect or a number is being omitted in the options.
But, lets make do with what we have here so you have an idea of how its been solved.
USING THE ORDER OF OPERATIONS IS BEING FOLLOWED SO THAT EVERYONE CAN ARRIVE AT THE SAME ANSWER.
8(2.5 - 0.5) = 8 (2) = 16
help me pleaseeeeeeeeeeeeeeeeeeeeeee :( ill give brainly :D
Answers
Answer:
Loose sweets are of better value
Step-by-step explanation:
Packed
120 g = £1.49
price per gram = £1.49/120= £0.0124
Loose
100 g = £0.89
price per gram= 0.89/100= £0.0089
Comparing prices per gram, we can see loose sweets cost less (0.0089<0.0124), so is better value
Is (0,4) a solution of the following
systems of equations?
-x + 4y = 16
3x - 4y = -19
Answers
The point (0, 4) is not a solution of the given system of equations.
The given system of equations,
-x + 4y = 16 [Equation 1]
3x - 4y = -19 [Equation 2]
We have to find the solution of the system of equations.
From [Equation 1],
4y = x + 16 [Equation 3]
From [Equation 2],
3x + 19 = 4y [Equation 4]
From [Equation 3] and [Equation 4],
x + 16 = 3x + 19
2x = -3
x = -3/2
So x = 0 is not possible.
Hence (0, 4) is not a solution.
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Find the measure of angle C.
B (110°
30°
A
Answers
Explanation is in the file
tinyurl.com/wpazsebu
what is 70 percent bof 500
Answers
Answer:
70 percent of 500 would equal to 14 percent!
Step-by-step explanation:
An object is moving at a speed of 11 yards every 6 months. Express this speed in centimeters per hour. Round your answer to the nearest hundredth.
Answers
Answer:
0.23 centimeters per hour
Step-by-step explanation:
Giving brainlist in this one
Answers
Answer:
\(equation \ of \ exponential \ function , y = a (b)^x\\(-1, 20) \\=> 20 = a(b)^{-1}\\=>20 = \frac{a}{b} ---(1)\\\\(1, 5)\\=>5 = a(b)^{1}\\=>5=ab ---(2)\\\\from (1) a = 20b\\substitute \ a \ in \ (2)\\\\\\5 = (20b)b\\5= 20b^2\\\frac{1}{4} = b^2\\\\b = \frac{1}{2}\\substitute \ b \ in \ (2)\\5 = ab\\5 = a (\frac{1}{2})\\\\a = 10\\Therefore , the \ equation : y = 10(\frac{1}{2})^{x}\)