The length of arc PR to the nearest hundredth is 7.15 units
How to calculate the length of an arcThe formula for calculating the length of an arc is expressed as:
L = r theta
Given the following parameters
r = PQ = 5 units
theta = <PQR = 82π/180 rad
Substitute to have:
L = 5 * 82π/180 rad
L = 7.15 units
Hence the length of arc PR to the nearest hundredth is 7.15 units
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Answer: The answer is 7.16.
What is x?
8x+6=5x+30
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{8x+6=5x+30}[/tex]
[tex]\large\textsf{SUBTRACT 5x to BOTH SIDES}[/tex]
[tex]\mathsf{8x+6-5x=5x+30-5x}[/tex]
[tex]\large\text{Simplify above to get your new equation}\uparrow[/tex]
[tex]\rightarrow\mathsf{3x +6=30}[/tex]
[tex]\large\textsf{SUBTRACT 6 to BOTH SIDES}[/tex]
[tex]\mathsf{3x +6-6=30-6}[/tex]
[tex]\large\text{CANCEL out: \textsf{6 - 6} because that gives you 0}[/tex]
[tex]\large\text{KEEP: \textsf{30 - 6} because it helps you solve for your x value.}[/tex]
[tex]\mathsf{30-6=\bf 24}[/tex]
[tex]\large\text{New EQUATION: \textsf{3x = 24}}[/tex]
[tex]\mathsf{3x = 24}[/tex]
[tex]\large\textsf{DIVIDE 3 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{3x}{3}=\dfrac{24}{3}}[/tex]
[tex]\large\text{CANCEL out: }\mathsf{\dfrac{3}{3}}\large\text{ because it gives you 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{24}{3}}\large\text{ because it helps solve for x}[/tex]
[tex]\large\text{New EQUATION: }\mathsf{\dfrac{24}{3}=x}[/tex]
[tex]\mathsf{\dfrac{24}{3}=24\div3=\bf 8}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 8}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Marco is reconstructing his expenses for the past two weeks. Here are the records of his expenses:
Transaction
Cost ($)
T-shirt
20
Gas
22
Movie
13
Video game
39
Jeans
34
Hat
15
Books
31
Marco’s bank statement says that he has an ending balance of $81. What is Marco’s starting balance?
Answer:
255 - A
Step-by-step explanation:
81+31+15+34+39+13+22+20=255
Noah wrote the expression 10m - 2c to represent the following scenario.
A bakery sells muffins for $2 each and cakes for $10 each. Write an expression that gives the amount of money, in
dollars, the bakery makes from selling m muffins and c cakes.
Explain why Noah's expression is incorrect. Provide the correct expression that represents the scenario.
Answer:
Noah's expression is wrong because he used the wrong coefficients for the variables, and he used a subtraction sign instead of an addition sign.
The correct expression is 2m + 10c
Step-by-step explanation:
Noah is incorrect because he used the wrong coefficients for both of the variables in the expression.
Since muffins are $2 each, and m is the number of muffins, the amount of money made from the muffins is 2m, not 10m.
Similarly, since cakes are $10 each, and c is the number of cakes, the amount of money made from the cakes is 10c, not 2c.
Noah is also incorrect because he used a subtraction sign instead of an addition sign. The amounts made from the muffins and cakes have to be added together.
Putting all of this together, the correct expression is 2m + 10c.
A copier produces 160 copies of a document in 4 minutes. What is the constant of proportionality that relates the number copies made, y, to the number of minutes, x?
Answer:
40
Step-by-step explanation:
160/4=40
There are 3 liters of orange juice at a school party. 10 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get? (enter your answer as a fraction or mixed number)
Write a number sentence that represents the problem.
Answer:
0.3
Step-by-step explanation:
yushhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
0.3
Step-by-step explanation:
djdjwinqwp9dejnedm
HELP HELP HELPH EPLHEPLHEPLHEPLHEPLEP
Answers:
1a) y=-10/3x+90
1b) 20
1c) -18
2a) 2.8
2b) How much the heights of five basketball players vary from the average height.
----------------------------------------------------------------------------------------------------------------
Explanations:
1a) The trend line is linear, so we just need to find the slope and y-intercept to find an equation for it. Our y-intercept is (0,90), or 90, and our slope is -10/3. Our equation is now y=-10/3x+90.
1b) To find when x=21, we plug 21 into our equation where the x is. Now we do the math.
y=-10/3(21)+90 (plug in)
y=-70+90 (simplify by multiplying -10/3 by 21)
y=20 (simplify by adding -70 to 90)
Therefore, we can predict that when x is 21, y is 20.
1c) To find when y=150, we plug 150 into our equation where the y is. Now we do some more math.
150=-10/3x+90 (plug in)
60=-10/3x (subtract 90 from both sides
-18=x (divide both sides by -10/3)
Therefore, we can predict that when y is 150, x is -18.
----------------------------------------------------------------------------------------------------------------
2a) The mean absolute deviation (or MAD for short) of a data set is calculated as such:
Step 1) Find the mean (average) by finding the sum of the data values, then dividing the sum of the data values by the number of data values. In this case, we have the numbers 65, 58, 64, 61, and 67, which add up to 315. The data set has 5 numbers, so we divide our sum of 315 by 5 to get 63. Therefore, our mean is 63.
Step 2) Find the absolute value of the distance between each data value and the mean. In this case, we find out how far away each data value is from 63, our mean. To do this, we subtract 63 from each number.
65-63=2
58-63=-5
64-63=1
61-63=-2
67-63=4
Some of these values are negative, but we're using absolute value so they all become positive. We now have a new set of values: 2, 5, 1, 2, and 4.
Step 3) Finally, we calculate the mean of our new set of values. In this case, we will add up 2, 5, 1, 2, and 4 to get 14 and divide by 5 to get our MAD of 2.8. Therefore, the MAD (and the answer to problem 2a) is 2.8.
2b) Now we just find out what the MAD means in this context. The MAD always is a measure of variance in a data set. In this context, it's describing how much the heights (in inches) of five people on a basketball team vary from the average height.
Hope this helps!
Please help! I will give points for helpng.
Answer:
Should Be 19 students
Step-by-step explanation:
Two situations are given in the table below. Drag the words to show which situation is modeled by an expression and which is modeled by an equation. CLEAR CHECK Equation Expression Situation Expression or Equation:
6 minutes longer than Laura.
Ken sang 6 minutes longer than Laura.
The phrase “6 minutes longer than Laura” is an expression,
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that;
6 minutes longer than Laura and Ken sang 6 minutes longer than Laura.
Now,
Because it does not have an equal sign. It can be written as L + 6, where L is the number of minutes that Laura sang.
The sentence “Ken sang 6 minutes longer than Laura” is a situation that can be modeled by an equation, because it involves a relationship between two quantities. It can be written as K = L + 6, where K is the number of minutes that Ken sang and L is the number of minutes that Laura sang.
Therefore, by the given statement answer will be expression.
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Carol measured her windows for new curtains. She measured the width to be 34 in when it was actually 36 inches. Which was carols approximate percent error in her window measurement .
A. 2.0%
B. 2.8%
C. 5.6%
D. 5.9%
Answer:5.9
Step-by-step explanation: Clarification from teacher
Which ordered pair is a solution of the equation? −7x+3y=2
Answer:
(-2/7,2/3)
Step-by-step explanation:
Let's solve for x.
−7x+3y=2
Step 1: Add -3y to both sides.
−7x+3y+−3y=2+−3y
−7x=−3y+2
Step 2: Divide both sides by -7.
−7x/ −7 = −3y+2/ −7
x= 3/ 7 y+ −2/ 7
Answer:
x= 3/ 7 y+ −2/ 7
Let's solve for y.
−7x+3y=2
Step 1: Add 7x to both sides.
−7x+3y+7x=2+7x
3y=7x+2
Step 2: Divide both sides by 3.
3y/ 3 = 7x+2/ 3
y= 7/ 3 x+ 2/ 3
Answer:
y= 7/ 3 x+ 2/ 3
A 4-cup bottle of vegetable oil costs $2.88. What is the price per fluid Ounce?
Which statement accurately describes the economic characteristics of modern
Texas?
A. Texas has one of the strongest and most diverse economies in the country.
B. Texas has a fairly strong economy, but growth has slowed since 2004.
C. Texas has a stable economy, but lacks industrial diversity.
D. Texas has a strong oil industry, but all other sectors have struggled recently.
Answer:
D
Step-by-step explanation:
sorry if incorrect
Answer:
The answer is A. Texas has one of the strongest and most diverse economies in the country.
Step-by-step explanation:
Texas is a densely populated state with numerous successful industries and businesses. It has many different cultures and ways of life. Texas has grown and adapted in order to succeed and not only remain stable and functioning, but also climb the ladder of achievement and keep its position (there). (Modern) Texas has a diverse economy that continues to thrive.
The circumference of a circle is 11pi m (meters)
What is the area, in square meters?
Express your answer in terms of pi.
Answer:
10 square meters
Step-by-step explanation:
BJ purchased five candy bars ($.79 each) three sodas ($.169)each and four bags of chips ($.89 each). What percent of the total order was spent on sodas? 
Answer:
12.0%
Step-by-step explanation:
PLEAEEE PLEAEE AHHHHHHH
Answer:
116cm^2
Step-by-step explanation:
mark me brainliest!
Find the Difference: 0.325-0.01
Answer:
= 0.315
Step-by-step explanation:
hope this helps :)
Question b quick 10 points
Eight friends want to play enough games of chess to be sure everyone plays everyone else. How many games will they have to play?
The number of games, the friends have to play is an illustration of combination.
They have to play 28 games to ensure that they all play
Given
[tex]n = 8[/tex] --- number of friends
[tex]r = 2[/tex] --- only two friends can play at a time
For everyone else to play, we will make use of the following combination formula;
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
So, we have:
[tex]^8C_2 = \frac{8!}{(8 - 2)!2!}[/tex]
[tex]^8C_2 = \frac{8!}{6!2!}[/tex]
Expand
[tex]^8C_2 = \frac{8 \times 7 \times 6!}{6! \times 2 \times 1}[/tex]
[tex]^8C_2 = \frac{8 \times 7}{2 \times 1}[/tex]
[tex]^8C_2 = 4 \times 7[/tex]
[tex]^8C_2 = 28[/tex]
Hence, the 8 friends have to play 28 games to ensure that everyone else plays
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Mr. Gephart is traveling from his house to the history museum. How many meters will he travel to the museum? The distance from home to the history museum is six and seven-tenths kilometers.
Answer: 6700 meters
Step-by-step explanation:
From the question given, we are informed that Gephart is traveling from his house to the history museum and that the distance from home to the history museum is six and seven-tenths kilometers.
In order to know the distance in meters
that he will travel to the museum, we have to multiply the convert the distance given in kilometers to meters. This will be:
1000 meters = 1 kilometer
Therefore, 6 7/10km = (6 7/10 × 1000m)
= 6 7/10 × 1000
= 67/10 × 1000
= 67 × 100
= 6700 meters
He'll travel 6700 meters to the museum.
Find the area of the figure.
Answer:
The answer is 28.5
Step-by-step explanation:
Right triangle: 4.5
Top triangle: 6
Rectangle: 18
Your welcome :)
Help how many questions did you answer correctly
Answer:
450
Step-by-step explanation:
you divide 90 by 20 and times in by 100
Simplify.√75
A.3√5 B.15√5 C.25√3 D. 5√3
if ur good at graphs come here.
Answer:
Believe its D
Step-by-step explanation:
Answer:
(-6,-12) let me know if wrong
Step-by-step explanation:
Mark me brainliest plz
Sonia has a hat collection. The ratio of white hats to
blue hats in her hat collection is 10:9. Which ratio is
equivalent to 10:9?
Answer:
20:18 30:27 40:36 etc..
Step-by-step explanation:
To find equivalent ratios you multiply both 10 and 9 by the same number to find equivalent ratios.
Find the area!!!!!!! thanks
which model represents the expression
Answer:
C, there are 4 groups of 5/12 on the numberline. They are jumping 4 times whilst each of those jumps are 5/12.
Angle ABC measures 90 degrees. It has been split into two angles angle ABD and angle DBC. The measure of the two angles is in a ratio of 2:1. What are the measures for each angle.
Answer:
the angle measures are 60 and 30
PLEASE ANSWER PLZ PLZ
Answer:
Your answer is -5/2.
Step-by-step explanation:
Use the slope equation. (Refresh if you cant see below.)
[tex]\frac{y_2-y_1}{x_2-x_1}\\\text{Substitute two points into the equation. We can use the first two, (3, 5), and (5, 0).}\\\frac{0-5}{5-3}\\\text{Subtract.}\\-\frac{5}{2}[/tex]
Which expressions represent rational numbers? Check all that apply.
Answer:
The answer is 1.2 or 5
Step-by-step explanation:
Answer:
B,D,E
Step-by-step explanation:
Why is the average approaching 3.5?
There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
To find the average approaching 3.5, we need to use the concept of the mean or expected value.
The expected value of a random variable is the long-run average value that we would expect to get if we repeat an experiment many times.
In this case, we can consider each roll of a die as an experiment, and the value of the die as the random variable.
Assuming that the die is fair and has six equally likely outcomes, each with a value between 1 and 6, the expected value of the die is:
E(X) = (1 + 2 + 3 + 4 + 5 + 6)/6 = 3.5
Therefore, if we roll the die many times, we would expect the long-run average value to be 3.5.
Now, if we have rolled the die 3200 times and the average so far is 3.51, we can calculate the sum of all the values rolled so far as:
Sum = (Average so far) x (Number of rolls) = 3.51 x 3200 = 11232
To find the average approaching 3.5, we need to calculate the average of the remaining rolls. Let's call the number of remaining rolls "n". Then we have:
Average approaching 3.5 = (Sum of remaining rolls) / n
We know that the total number of rolls is 3200, so the number of remaining rolls is:
n = 3200 - (number of rolls already rolled)
n = 3200 - 3200 = 0
Therefore,
There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.
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