Write your answer as a mixed number in simplest form. 10 x 2 3/4
Answers
Answer:
\(36\frac{2}{3}\)
Step-by-step explanation:
\(10*2\frac{3}{4}\)
First make \(2\frac{3}{4}\) as a improper fraction.
\(2\frac{3}{4} =>\frac{11}{3}\)
Now multiply the above 2 numbers.
Let us solve.
\(10*\frac{11}{3}\)
\(\frac{10*11}{3}\)
\(\frac{110}{3}\)
And now let's make it as a mixed number.
\(\frac{110}{3}=>36\frac{2}{3}\)
Hope this helps you:-)
Let me know if you have any other questions :-)
Related Questions
if cos ∅=sin 46° find ∅
Answers
Answer:
∅ = 44°
Step-by-step explanation:
cos∅ = sin46°
∅ = (90 - 46)°
∅ = 44°
Hope this helps
what can you prove congruent from your given
Answers
Answer:
a. line OL bisects angle MLN
b. triangle MLO is congruent to triangle OLN
c. line OL proves that they are congruent through reflexive property.
Step-by-step explanation:
hope this helps!
Julian’s friend James also has a tank in the shape of a triangular prism. The dimensions of James’ tank are each exactly 2 3/4 times the dimensions of Julian’s tank. If the area of the triangular base of Julian’s tank is approximately 400 square inches, what is the approximate area of the triangular base of James’ tank?
3,025 square inches
2,035 square inches
3,045 square inches
4,025 square inches
Answers
The approximate area of the triangular base of James’ tank is 3025 in²
To find the approximate area of the triangular base of James' tank, we need to know what scale is.
What is scale?A scale is the ratio of two dimension. It is given by scale = New dimension/old dimension
Given that the dimensions of James’ tank are each exactly 2 3/4 times the dimensions of Julian’s tank.
The scale of the area of James' tank to the area of triangular base of Julian's tank is S = (2³/₄)²
= (11/4)²
= 121/16
Let
A = area of triangular base of James' tank, A' = area of triangular base of Julian's tank = 400 in²So, scale, S = A/A'
The approximate area of the triangular base of James’ tankSo, making A subject of the formula, we have
A = SA'
A = 121/16 × 400 in²
A = 121 × 25 in²
A = 3025 in²
So, the approximate area of the triangular base of James’ tank is 3025 in²
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If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year, how much will it be worth in 2020?
A) $10,562.50
B) $1718.33
C) $6732.90
D) $5385.10
Answers
Answer:
D) $5385.10
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the decay of an amount after t years is given by:
\(A(t) = A(0)(1-r)^t\)
In which A(0) is the initial amount and r is the decay rate, as a decimal.
If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year
This means that \(A(0) = 12500, r = 0.155\)
So
\(A(t) = A(0)(1-r)^t\)
\(A(t) = 12500(1-0.155)^t\)
\(A(t) = 12500(0.845)^t\)
How much will it be worth in 2020?
2020 is 2020 - 2015 = 5 years after 2015, so this is A(5). So
\(A(5) = 12500(0.845)^5 = 5385.10\)
The correct answer is given by option D.
In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.
Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:
C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature.
If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?
Our input is 77.
C = (5/9)*(77 - 32)
C = (5/9)*(45)
C = 25
The equivalent temperature is 25 degrees Celsius.
To complete the Discussion activity, please do the following:
Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).
Arm length is a function of height.
The circumference of a circle is a function of diameter.
The height of a tree is a function of its age.
The length of person's shadow on the ground is a function of his or her height.
Weekly salary is a function of the hourly pay rate and the number of hours worked.
Compound interest is a function of initial investment, interest rate, and time.
Supply and demand: As price goes up, demand goes down.
Answers
The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.
Weekly salary = Hourly pay rate * Number of hours worked
Weekly salary = $12/hour * 20 hours
Weekly salary = $240
So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
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2(y-2)-2y=-8 simplify using substitution method
Answers
Answer:
Step-by-step explanation:
uhh i dont know much... can you explain it to me easier?
Answer:
responder dejar de engañar a idiota
Step-by-step explanation:
can someone tell me the steps to solving this and tell me what to write my teacher told me “to show work”
Answers
Answer:
55 degrees
Step-by-step explanation:
Sum of ALL three angles of a triangle ALWAYS equal 180
rule is 6x+5 will equal the sum of the 2 known angles because of this
6x+5=3x+x+45
6x+5=4x+45
-4x. -4x
2x+5=45
-5. -5
2x=40
/2. /2
x=20
6(20)+5
120+5
125
180-125
55
hopes this helps please mark brainliest
what does -(22) equal to?
Answers
Answer:
-(22) = -22
When there is no number given but a sign given in front of the brackets it means there is 1.
-(22) is the same as -1(22) = -22
Hope this helps, thank you :) !!
Answer:
90002
Step-by-step explanation:
because 72+ 826+288 is 90002
Write 3 1/5 as a decimal
Answers
Answer:
3.2
Step-by-step explanation:
3 1/5 = 3 + 1/5
Calculate 1/5: 1/5 * 20/20 = 20/100 = 0.2
3 + 0.2 = 3.2
Hope this helps :)
Have a great day!
someone help me with this?
Answers
Answer:
look at the picture
Step-by-step explanation:
Which inequality represents the graph below
Answers
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I did it and it is right hope this helps
Which ordered pair makes both inequalities true?
y < –x + 1
y > x
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded.
(–3, 5)
(–2, 2)
(–1, –3)
(0, –1)
Answers
Answer:
(-2, 2)
Step-by-step explanation:
We will start by just plugging in the numbers to see if they work.
(-3, 5)
5<-(-3)+1
5<4
This is not possible, so the answer is not (-3, 5).
(-2, 2)
2<-(-2)+1
2<3
2>-2
The point (-2, 2) works for both equations, so that is the answer.
Aubree took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $2.20 plus $2.75 per mile. The total fare was $59.95, not including the tip. How
many miles was the taxi ride?
Answers
Which of the following z-scores is NOT outside the middle 68% of the data for a normal distribution?
a.) -0.8
b.) -2.8
c.) 1.8
d.) 3.8
Answers
Answer:
Step-by-step explanation:
A, use three_digite rounding arithmetic to compute 13- 6 and determine the absolute,relative ,and percentage errors.
tepeat part (b) using three – digit chopping arithmetic.
What are the points of the image of the line in Q4 after the dilation?
Answers
Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)
How is this so ?To rotate a point 90 degrees clockwise about a given point,we can follow these steps -
Translate the coordinates of the given point so that the center of rotation is at the origin. In this case,we subtract the coordinates of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).
Perform the rotation by swapping the x and y coordinates and changing the sign of the new x coordinate. In this case,we swap the x and y coordinates of (-5, 3) to get (3, -5).
Translate the coordinates back to their original position by adding the coordinates of the center (0,1) to the result from step 2. In this case, we add (0,1) to (3, -5) to get (3, -4).
Therefore, the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).
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Write the equation of the line that is perpendicular
to the y-axis and passes through the point (3, 12).
Answers
Answer:
\(y=12\)
Step-by-step explanation:
The \(y\)-axis has equation \(x=0\), so the equation of a line perpendicular to the \(y\)-axis would be of the form \(y=c\).
The equation of this line given the point \((3,12)\) is \(y=12\).
PLEASE HELP!!!
A cylinder has a height of 15 inches. A similar cylinder has a height of 20 inches.
What is the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder?
Enter your answer by filling in the boxes.
Answers
The ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder is 4:3, or 4/3.
How do you find the ratio of the surface area of the larger cylinder to the the smaller cylinder?To find the ratio of the surface areas of the two similar cylinders, we need to consider the ratio of their corresponding dimensions. Since the two cylinders are similar, their radii are proportional to their heights. Let's denote the height of the smaller cylinder as h1, the height of the larger cylinder as h2, the radius of the smaller cylinder as r1, and the radius of the larger cylinder as r2.
Given:
h1 = 15 inches
h2 = 20 inches
The ratio of the heights is:
h2 / h1 = 20 / 15 = 4 / 3
Since the cylinders are similar, the ratio of their radii is the same as the ratio of their heights:
r2 / r1 = 4 / 3
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A team has won 51 out of 68 games. Explain how to
use the bar diagram to find the percent of games the
team has won
Answers
Answer:
you would divide -> 51/68 and you would get .75. move the 2 first numbers after the dot to the front and you get 75%
Step-by-step explanation:
Answer:Divide 51/68 and you would get .75. move the 2 first numbers after the dot to the front and you get 75%
Step-by-step explanation:
PLEASE HELP!!!!!!
The box plot displays the number of flowers planted in a town last summer.
10
Flowers Planted In Town
13 14 15 16 17 18 19 20 21 22 23 24
Number of Flowers
Which of the following is the best measure of center for the data shown, and what is that value?
O The mean is the best measure of center and equals 12.
O The mean is the best measure of center and equals 10.
The median is the best measure of center and equals 12.
30 31
The median is the best measure of center and equals 10.
Answers
The best measure of center for the data shown is the median, and its value is 17.
The median is the best measure of center for the given data set. To find the median, we arrange the numbers in ascending order:
10, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24
Since the data set has an odd number of values, the median is the middle value, which in this case is 17.
Therefore, the best measure of center for the data shown is the median, and its value is 17.
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79 Points!!! Algebra question. A biologist plotted the data from his latest experiment and connected the points to form the graph shown. He recognizes that the graph is a translation of y=x^2. Write a function f(x) to represent the graph of his data. Photo attached. Thank you!
Answers
The function for the following graph is:
( X - 3 ) ^2 = y - 1
Un viajero ha recorrido la tercera parte de su trayecto y sabe que si cubre 65 km más completa la mitad del recorrido. Determine la distancia recorrida.
Answers
The travelled distance of the traveller is equal to 195 kilometers.
How to find the travelled distance by a traveller
According to the statement of the problem, a traveller already walked a third part of his trail and if he travels the half of his trail, then the half of his trail shall be covered. Mathematically, the travelled distance shall be described by following expression:
x = d / 3
x + 65 = d / 2
Where:
d - Travelled distance, in kilometers.x - Initial travelled distance, in kilometers.Now we proceed to determine the travelled distance:
d / 3 + 65 = d / 2
d / 2 - d / 3 = 65
3 · d - d = 390
2 · d = 390
d = 195
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Week
2
3
A
5
6
7
8
Job Sat Score
3.40
3.60
3.70
3.80
3.90
4.20
4.00
4.10
Absence Rate
0.05
0.04
0.06
0.03
0.04
0.03
0.04
0.05
Quality Score
0.88
0.89
0.90
0.92
0.83
0.91
0.92
0.83
Output Score
8
10
9
10
8
10
9
9
Weekly Goals: Job Satisfaction Score > 4.50, Absence Rate ≤ 0.03, Quality Score > 0.95, Output Score > 9
Over the last four weeks, how is the team doing compared to the quality goal?
Answers
The team has failed to meet his quality goal of achieving a quality score above 0.95 in the last four weeks.
The table shows the weekly goals and their respective scores:
Weekly Goals:
Job Satisfaction Score > 4.50, Absence Rate ≤ 0.03, Quality Score > 0.95, Output Score > 9Week Job Sat Score
To compare the quality score for the past four weeks, we have:
Quality Score in Week 2 = 0.88
Quality Score in Week 3 = 0.89
Quality Score in Week 5 = 0.92
Quality Score in Week 6 = 0.83
Quality Score in Week 7 = 0.91
Quality Score in Week 8 = 0.92
Quality Score in Week 9 = 0.83
Since, the goal was Quality Score > 0.95,
To see how your team is doing against your quality goals over the last four weeks, you need to compare your quality score each week to your goal of 0.95. The Quality Scores for the past 4 weeks are:
Week 23: 0.88
Week A: 0.89
Week 56: 0.90
Week 78: 0.92
We are counting quality scores each week with a goal of 0.95. increase. , you can see that none of the quality values meet or exceed the target.
As a result, the team has failed to meet his quality goal of achieving a quality score above 0.95 in the last four weeks.
It can be observed that the team was not able to achieve the quality goal in any of the weeks (Week 2 to Week 9).
Therefore, it can be concluded that the team was not able to achieve the quality goal in the past four weeks.
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carly works less that 20 hours per week helping her grandfather on his farm. write and inequality to represent how many hours,h, carly works on her grandfather's farm each week. graph the solution to the inequality on the number line
Answers
The number line that represent the inequality h < 20 is attached below.
What is the inequality the represents this problemThe inequality to represent how many hours Carly works on her grandfather's farm each week can be written as:
h < 20
where h is the number of hours Carly works each week.
To graph the solution to the inequality on the number line:
1. Plot the value 20 on the number line.
2. Draw an arrow pointing to the left of 20 to represent that the solution is less than 20.
3. Shade the region to the left of 20 to represent the set of all solutions that are less than 20.
The graph of the solution to the inequality on the number line would look like the graph attached below.
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Find the measure of the indicated angle to the nearest degree
Answers
\(\cos \theta =\dfrac{18}{23}\\\\\implies \theta = \cos^{-1}\left(\dfrac{18}{23} \right)=38.5^{\circ} \approx 39^{\circ}\)
Evaluate squareroot of
61.73²-38.27²
Answers
Answer:
48.43552415324934
Step-by-step explanation:
61.73²-38.27² = 2346
\(\sqrt{2346}\) = 48.43552415324934
Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 29, 31, 49, 37, 26, 28. Use a 0.025 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die?
Answers
The loaded die appears to behave differently from a fair die.Based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.
To test the claim that the outcomes of the loaded die are not equally likely, we can use the chi-square goodness-of-fit test. The null hypothesis (H₀) assumes that the outcomes are equally likely, while the alternative hypothesis (H₁) assumes that they are not equally likely.
Step 1: Set up hypotheses
H₀: The outcomes of the die are equally likely.
H₁: The outcomes of the die are not equally likely.
Step 2: Select the significance level
The significance level is given as 0.025, which means we have a two-tailed test and an alpha level of 0.025 for each tail.
Step 3: Compute the test statistic
We calculate the chi-square test statistic using the observed frequencies and the expected frequencies assuming equal probabilities for each outcome.
Expected frequencies (fair die):
1: 200/6 = 33.33
2: 200/6 = 33.33
3: 200/6 = 33.33
4: 200/6 = 33.33
5: 200/6 = 33.33
6: 200/6 = 33.33
Applying the chi-square formula, we get the test statistic:
χ² = ∑((observed - expected)² / expected)
Calculating this value, we get χ² ≈ 13.97.
Step 4: Determine the critical value
Since the significance level is 0.025 and the test is two-tailed, we divide the significance level by 2 to find the critical value associated with each tail. With 5 degrees of freedom (6 categories - 1), the critical value is approximately 11.07.
Step 5: Make a decision
The test statistic (13.97) is greater than the critical value (11.07), which leads us to reject the null hypothesis. Thus, we have evidence to suggest that the outcomes of the loaded die are not equally likely.
The loaded die appears to behave differently from a fair die.
In conclusion, based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.
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Sorry if the quality is blurry
Answers
Answer:
False,False,False and last one is true
The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answers
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
Makesha lost 58.5 pounds in 18 weeks. Find her rate of loss in pounds per week.
Answers
What is the value of x? A pair of intersecting lines is shown. The angle above the point of intersection is labeled left parenthesis 7 x minus 8 right parenthesis degrees. The angle directly opposite below the point of intersection is labeled left parenthesis 6 x plus 11 right parenthesis degrees. (1 point)
A –19
B 125
C 19
D 55
Answers
The value of x in the angles is 19.
How to find angles in intersecting lines?When lines intersect, angle relationships are formed such as vertically opposite angles, adjacent angles etc.
Therefore, let's find the value of x in the intersecting lines.
Hence,
7x - 8 = 6x + 11 (vertically opposite angles)
Vertically opposite angles are congruent and they share the same vertex point.
Hence,
7x - 8 = 6x + 11
subtract 6x from both sides of the equation
7x - 8 = 6x + 11
7x - 6x - 8 = 6x - 6x + 11
x - 8 = 11
add 8 to both sides of the equation
x - 8 + 8 = 11 + 8
x = 19
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