Answer:
Step-by-step explanation:
8. The angles are equal, so:
(2x+2) = (3x - 63)
-x = -61
x = 61
Angle (2x+2) is 124°
Angle (3x-63) is 120°
9. The sum of all angles in a triangle is 180°.
The sum of the two unknown angles is 90° [180° - 90° from the right angle°]
(8x+2) + (9x+3) = 90°
17x + 5 = 90°
17x = 85°
x = 5
The two angles are:
(8x+2) = 42°
(9x+3) = 48°
Enter the value of p so that the expression 4 (n+8) is equivalent to (n+p)4
Refer to the number line. Find the coordinate of point X such as the ratio of MX to XJ is 2:3
Please help it’s due soon
===========================================================
Explanation:
M is at 2 and J is at 18
This is a gap of 18-2 = 16
The ratio 2:3 has 2+3 = 5 parts total. Divide the gap of 16 into 5 equal parts to get 16/5 = 3.2 units
Each part is 3.2 units wide
Double this to get 2*3.2 = 6.4; the doubling is because of the "2" in "2:3"
Now add 6.4 to M = 2 to get 2+6.4 = 8.4 which is the location of point X
-----------------------
Check:
Segment MX is 8.4 - 2 = 6.4 units long
Segment XJ is 18-8.4 = 9.6 units long
The ratio 6.4:9.6 is the same as 64:96 and it fully reduces to 2:3 to confirm the answer. Or you could notice that (6.4)/(9.6) = 64/96 = 2/3
The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.
Circles C, D, and F overlap. Circle C contains 15, circle D contains 21, and circle F contains 12. The overlap of C and F contains 2, the overlap of F and D contains 0, and the overlap of D and C contains 3. The overlap of all 3 circles contains 1. Number 14 is outside of the circles.
How many people are in the set C ∩ D?
4
6
36
38
The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.
The correct answer is 4.
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.
Given information:
- Circle C (cats): 15
- Circle D (dogs): 21
- Circle F (fish): 12
- Overlap of C and F: 2
- Overlap of F and D: 0
- Overlap of D and C: 3
- Overlap of all 3 circles: 1
- Number outside of circles: 14
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.
From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.
To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.
Therefore, from the options given correct one is 4.
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Answer: 4
Step-by-step explanation:
trust me bro
Using the income statement below, calculate the following profitability ratios for Western Bookkeeping and Tax Service. Assume that stockholder's equity equals $441,600 and total assets equal $640,000.
Profit margin ratio
Return on equity ratio
Asset turnover ratio
Write the profit margin and return on equity ratios as a percent, rounded to the nearest percent. Write the asset turnover ratio as a decimal, rounded to two decimal places.
The computation of the profitability ratios for Western Bookkeeping and Tax Service is as follows:
Profit margin ratio = 8%Return on equity ratio = 8%Asset turnover ratio = 0.75.What are profitability ratios?Profitability ratios are the financial ratios that evaluate an entity's ability to convert its earnings (revenue) into profit versus different criteria.
Some of the common profitability ratios include:
Gross Profit MarginOperating Income RatioNet Income RatioReturn on Investment (ROI)Return on EquityReturn on Total AssetsAsset turnover RatioEarnings per share.Stockholders' equity = $442,600
Total assets = $640,000
Net sales = $480,000
Net income = $36,000
Profit margin ratio = Net income/Net Sales x 100
= $36,000/$480,000 x 100
= 7.5%
= 8%
Return on equity ratio = Net income/Shareholders' Equity x 100
= $36,000/$442,600 x 100
= 8.13%
= 8%
Asset turnover ratio = Net Sales/Total Assets
= $480,000/$640,000
= 0.75
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What is the answer?
A) Yes
B) No
Answer:
Step-by-step explanation:
No
Which of the following points is NOT a solution of the inequality y ≥ Ixl + 3?
A. (-3, 0)
B. (-3, 6)
C. (0, 4)
Hey there!
To solve this, we need to plug each of our answer options into the inequality and see if it is true. Which ever one doesn't make the inequality true when plugged in is the answer.
OPTION A
(x,y)=(-3,0)
We plug our values into the inequality.
0≥ I-3I+3
You may have noticed the bars surrounding the negative three.. If you didn't know, this is called absolute value. Absolute value is how far the number is from 0 on the number line. -7 is 7 away from 0 on a number line, so the absolute value of -7 is 7. The absolute value of 7 is 7. The absolute value of 0 is 0. Absolute value is signified by these bars. Le'ts finish evaluating.
0≥6
As you can see, zero is not greater than or equal to six. So, option A is false.
Since A is not a solution, we already know that that is the answer, so we don't even need to check B and C. But, we can still evaluate them if you want.
OPTION B
6≥I-3I+3
6≥6
This is true.
OPTION C
4≥I0I+3
4≥3
This is also true.
Therefore, the answer is A. (-3,0)
Have a wonderful day!
*PLEASE HELP* * ANY IRRELEVANT ANSWERS WILL BE REPORTED *
You have $50 in your piggy bank and spend $10 a day on Starbucks upside down Cafe latte grande with soy milk and 2 pumps of caramel.
Find the slope:
Find the y-intercept:
Answer:
The slope is 10. The Y-Intercept is 50.
Step-by-step explanation:
In the word equation, it tells you that you spend $10 A DAY on the latte. The slope can be a rate of change, or how much something changes on a steady basis. That is why 10 is the slope.
Because you start with 50 dollars in your piggy bank, you can imagine that that is the starting point on the graph. Then, you spend 10 per day, which means it is a negative slope. The first point is always the point that intersects the y-axis, otherwise known as the y-intercept. Let me know if you have more questions!
Answer:
slope = -10
y-intercept = 50
y = -10x + 50
Step-by-step explanation:
Let x = number of days
Let y = money in piggy bank
Create 2 ordered pairs from the given information.
initial amount of $50 in piggy bank = (0, 50)
amount in piggy bank after 1 day = (1, 40)
(since 10 is spent each day)
Slope formula: \(m=\dfrac{\textsf{change in} \ y}{\textsf{change in} \ x}\)
Therefore, \(m=\dfrac{40-50}{1-0}=-10\)
So the slope is -10
y-intercept is where the line crosses the y-axis, so when x = 0.
We already know that y = 50 when x = 0, therefore the y-intercept is 50.
Therefore, the final equation for the line is: y = -10x + 50
does anyone have answers to Practice: Unit Rates for Ratios with Fractions Level G iready and the quiz? I will give a lot of points and brainliest answer
While direct answers to iReady tasks are not provided, guidance for tackling problems involving unit rates and ratios with fractions was presented. The concept to calculate the unit rate involves dividing the first quantity by the second quantity. One should work towards solving these problems independently to reinforce the learning.
Explanation:I'm sorry, but I cannot provide direct answers to your iReady task; it would not be fair or beneficial to your learning. However, I can guide you in how to tackle problems involving unit rates and ratios with fractions. With a unit rate, you're finding a ratio that compares a quantity to one unit of another quantity. The method typically involves dividing the first quantity by the second one.
For example, if you have a problem that says '6 cookies cost $1.50, what is the unit rate?', you would solve it by dividing 1.50 (the cost) by 6 (the number of cookies) to find the unit cost of a single cookie. This gives you a unit rate of $0.25 per cookie. If your questions on iReady involve complex fractions or operations, follow the same concept but use the relevant operation (multiplication, division, etc.). Practice moving toward solving these problems independently to improve your understanding of the concept.
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A coat check service charges $2 for the first hour and $1 for each additional hour or fraction of an hour. Which point is NOT included in the graph of the step function?
There is no point that is NOT included in the graph of the step function.
The coat check service charges $2 for the first hour and $1 for each additional hour or fraction of an hour.
To determine the point that is NOT included in the graph of the step function, we need to consider the charging scheme and analyze the pattern of charges.
The step function can be represented as follows:
For the first hour, the charge is a flat rate of $2.
For each additional hour or fraction of an hour, the charge is $1.
Let's analyze the points included in the graph:
(1, 2): This point represents the charge for the first hour, which is $2.
Now, let's consider the additional hours:
2. (2, 3): This point represents the charge for 2 hours, which is $2 for the first hour and $1 for the additional hour.
(3, 4): This point represents the charge for 3 hours, which is $2 for the first hour and $2 for the additional 2 hours.
(4, 5): This point represents the charge for 4 hours, which is $2 for the first hour and $3 for the additional 3 hours.
Based on the charging scheme, we can observe a pattern where the charge increases by $1 for each additional hour or fraction of an hour.
Since the charging scheme allows for any additional hour or fraction of an hour, there is no specific point that is excluded from the graph. Any positive value of x greater than or equal to 1 will have a corresponding point on the graph.
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What fraction must be added to 3/8 to make a whole?
Multiply
3
8
by an equivalent fraction that equals
1
.
An equivalent fraction is equal to 1 such as
2
2
or
3
3
An equivalent fraction is the same as multiplying by
1
so the ratio does not change.
This fraction would be equal to
a
a
=
1
where a is an integer.
Hence an example would be that
2
2
⋅
3
8
=
6
16
Answer link
Apr 30, 2017
There are infinitely many greater equivalent fractions to
3
8
.
Explanation:
First of all, remember:
"Any of operation that occurs to the numerator must also apply to the denominator"
Using this knowledge, we can create any equivalent fraction!;
=
3
8
=
3
⋅
6
8
⋅
6
=
18
48
= etc.
All the best!
a student simplified the expression 6^2/12^2 as 1/2 do you agree
Answer:
No.
Step-by-step explanation:
6^2=36
12^2=144
36/144 simplified is 1/4
Guided Practice
Identify the initial amount a and the growth factor b in the exponential function.
g(x) = 20 • 2x
A.
20; 2
B.
20; 2x
C.
40; 2
Answer:
A.
20; 2
Step-by-step explanation:
Your math problem
Ann borrowed $6000 from the bank for 5 years at 12% rate. How much does she owe the bank? I need your help PLEASE!!!
Answer:
Anna owes $3600 to the bank
Step-by-step explanation:
12/100 * 6000 = 720 * 5 years
= $3600
Hence Anna owes $3600 to the bank
what are the features of the function g if g(x)= f(x+4) +8
The domain, range, x-intercept, or y-intercept of g(x) = f(x + 4) + 8. The features of g depend on the corresponding features of f.
Given the function g(x) = f(x + 4) + 8, let's examine its features:
Domain:
The domain of the function g will be the same as the domain of the function f, which depends on the restrictions or constraints of f. However, it is important to note that shifting the input by 4 units (x + 4) does not inherently change the domain unless there are specific restrictions imposed by f.
Range:
Similar to the domain, the range of the function g will depend on the range of the function f.
x-intercept:
The x-intercept of a function is the point where the graph intersects the x-axis, meaning the y-coordinate is zero (y = 0). To find the x-intercept of g(x), we set g(x) = 0 and solve for x.
0 = f(x + 4) + 8
By subtracting 8 from both sides:
-8 = f(x + 4)
Since the exact value of x that makes f(x + 4) equal to -8. The x-intercept will depend on the behavior of f.
y-intercept:
The y-intercept of a function is the point where the graph intersects the y-axis, meaning the x-coordinate is zero (x = 0). To find the y-intercept of g(x), we substitute x = 0 into the function:
g(0) = f(0 + 4) + 8
g(0) = f(4) + 8
Again, the specific value of f(4) will depend on the behavior of the function f.
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57 ÷ (9 + 3) – 8
who knows the anwser
744-__=312+220 I m in need
Now that you’ve created your hypotheses, it’s time to prove them. First, look at the sum of two rational numbers. Let’s say they are two rational numbers, x and y. Because they’re rational, they can be written as a ratio of integers. Let x = and y = , where a, b, c, and d are integers and b and d do not equal 0. The process for finding the sum x + y in terms of a, b, c, and d is shown. Statement Reason substitution Create common denominators. Simplify. Based on this sum and using the closure property of integers, what conclusion can you make about the sum of two rational numbers? Explain your answer.
The question is missing parts. Here is the complete question.
Now that you've created your hypotheses, it's time to prove them. First look at the sum of two rational numbers. Let's say they are two rational numbers, x and y. Because they're rational, they can be written as a ratio of integers. Let \(x=\frac{a}{b}\) and \(y=\frac{c}{d}\), where a, b, c and d are integers and b and d do not equal 0. The process for finding the sum x + y in terms of a, b, c and d is shown in the figure below.
Based on the sum and using the closure property of integers, what conclusion can you make about the sum of two rational numbers? Explain your answer.
Answer: The sum of two rational numbers equals a rational number.
Step-by-step explanation: Rational number is defined as a number that can be made by dividing two integers.
Closure Property of Integers states the sum or subtraction of two integers always gives an integer.
Using the definition of rational and expanding the property, we can conclude that the sum of two rational numbers will result in a rational number, as demonstrated in the table below.
Write the following ratios 750 ml: 3L
Answer:
1:4
Step-by-step explanation: 750/3000 = 1/4 = 1:4
PLEASE HELP WHO EVER GET THIS RIGHT WILL MAKE U BRAINIEST
Answer: 150
Step-by-step explanation:
You got it right, just divide 300 by 2 :)
Answer:
150
Step-by-step explanation:
50% is half if everything... half of 300 is 150
Question #3
Given the following stemplot, determine the maximum value of the original data set.
O 100
8
98
9
0000
Test Scores
5
479
6 146779
7 002557799
8 12223455789
9 000333368
The maximum value of the original data set is 109.
To determine the maximum value of the original data set from the given stemplot, we need to look at the rightmost digits in each stem and identify the highest value.
Looking at the stemplot:
O 10 | 0 0 8 9 8 9 0 0 0
0 20 | 5 4 7 9 6
0 30 | 1 4 6 7 7 9 7
0 40 | 0 0 2 5 5 7 7 9 9 8
0 50 | 1 2 2 2 3 4 5 5 7 8 9 9
0 60 | 0 0 0 3 3 3 3 6 8
The rightmost digits in each stem represent the original data values. We can see that the highest value occurs in the stem "10" with a rightmost digit of "9".
Therefore, the maximum value of the original data set is 109.
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Determine whether the system of equations has no solution, one solution, or an infinite number of solutions.
y=2/3x−7
2x−3y=−21
Answer the quetion in the picture below
The two equations have thesame slope therefore , the system has no solution
What is Simultaneous equation?Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 4x − 4y = 4.
y = 2/3x - 7
multiply all by 3
3y = 2x -21
3y -2x = -21
2x - 3y = 21 equation 1
2x -3y = 21 equation 2
The two equations has thesame slope,
Since equation 1 is equal to equation 2 , the system has no solution
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Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 5 4 2 11 Female 15 12 20 47 Total 20 16 22 58 If one student is chosen at random, Find the probability that the student was male OR got a(n) "A". (Please enter a reduced fraction.)
The probability that the student chosen at random was male OR got an "A" is 31/58.
How to solve for the probabilityTo find the probability that the student was male OR got an "A," we need to calculate the probability of each event separately and then add them together.
Let's calculate the probability of the student being male:
Total number of males = 11
Total number of students = 58
Probability of the student being male = Number of males / Total number of students = 11/58
Now, let's calculate the probability of the student getting an "A":
Total number of students who got an "A" = 20
Probability of the student getting an "A" = Number of students who got an "A" / Total number of students = 20/58
To find the probability of the student being male OR getting an "A," we add the two probabilities together:
Probability (Male OR A) = Probability (Male) + Probability (A) = 11/58 + 20/58 = 31/58
Therefore, the probability that the student chosen at random was male OR got an "A" is 31/58.
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The figure shows a 550 foot tower on the side of a hill that forms a 7° angle with the horizontal. Find the length of each of the two guy wires that are anchored 60 feet uphill and downhill from the tower's base and extend to the top of the tower.
The interactive tool provided a sample size of 41 and a plot of the Age variable. The three dotted lines shown at the top of the chart had lengths of 23.39, 23.28, and 24.17 respectively.
What is length?
Length is a concept used to describe the magnitude of a particular object or distance between two points. It is typically measured in units such as feet, inches, meters, miles, and kilometers. Length is often used to describe the size of an object and the distance between two points. Length can also be used to measure the time required to travel between two points. Length is a fundamental concept in mathematics, physics, and engineering.
The first dotted line shown at the top of the chart is 23.39.
b. With Overall Mean selected, what is the length of the second dotted line shown at the top of the chart? (Hint: Use the Show Data button in the calculations window.) (Report two decimal places. Do not include a negative sign.)
The second dotted line shown at the top of the chart is 23.28.
c. With Overall Mean selected, what is the length of the third dotted line shown at the top of the chart? (Hint: Use the Show Data button in the calculations window.) (Report two decimal places. Do not include a negative sign.)
The third dotted line shown at the top of the chart is 24.17.
Conclusion: The interactive tool provided a sample size of 41 and a plot of the Age variable. The three dotted lines shown at the top of the chart had lengths of 23.39, 23.28, and 24.17 respectively. This data can be used to analyze the age of respondents in Market Research.
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BRAINLLEST HELPPPPPPPPPPPPPPPPPPPPPP
Answer:
1200cm
Step-by-step explanation: this is the suface area:)
Answer:
face 1. 5, 8 - area = 40
face 2. bottom, 3, 8 = 24
face 3. Back ,4, 8 = 32
triangular faces, 3 , 4, A=6
Step-by-step explanation:
Surface area should be 108 if i'm not mistaken.
Find value of x in trapezoid
Answer:
x = 1
Step-by-step explanation:
You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.
Supplementary anglesThe two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.
(43x +2)° +135° = 180°
43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137
x = 1 . . . . . . . . . . . . . . . divide by 43
The value of x is 1.
__
Additional comment
Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.
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please help!
this is due by tonight
Answer:
6
Step-by-step explanation:
The two triangles are similar which means the the two length is parallel
.°., the Length of the smaller triangle=6
What percent of 2 is 32? If necessary, round your answer to the nearest tenth.
Answer:
Below
Step-by-step explanation:
32/2 x 100% = 1600 %
the area of a rectangular park is 7/8 sqaure mile. the length of the park is 3/4 mile. what is the width of the park?
Answer:
7/6
Step-by-step explanation:
since the formula of area is length times width,you have to divide the area by the length to find the width
area=length×width
the width will be
width=area÷length
=7/8÷3/4
7/8×4/3
7/2×1/3
7/6
that's the width you can prove it by multiplying the length times the width to see if you will get 7/8..
I hope this helps
In isosceles triangle RST below, what is the value of y?
Triangle R S T. Angle T is 38 degrees and angles R and S are y.
38 degrees
71 degrees
122 degrees
142 degrees
Answer:
71º
Step-by-step explanation:
180-38=142º
142/2=71º
Answer:
71° is your answer!
Step-by-step explanation:
Hope this helped!
Someone help with this too pls
Answer:
the answer is 18 months==1 year 6 months