Answers
The mathematics properties and solutions to the pdf are listed below
Q1.i. Multiplicative commutative property: [tex]\frac{1}{4}[/tex] * [tex]\frac{3}{7}[/tex] = [tex]\frac{3}{7}[/tex] * [tex]\frac{1}{4}[/tex] = [tex]\frac{3}{28}[/tex]ii. Distributive property : [tex]\frac{2}{3}[/tex] * ( [tex]\frac{5}{7}[/tex] - [tex]\frac{9}{11}[/tex] )iii. Associative property: [tex]\frac{6}{5}[/tex] + ( [tex]\frac{1}{4}[/tex] + [tex]\frac{8}{9}[/tex] ) = ( [tex]\frac{6}{5}[/tex] + [tex]\frac{1}{4}[/tex] ) + [tex]\frac{8}{9}[/tex] Q2i. [tex]\frac{12}{11}[/tex] * [tex]\frac{21}{5}[/tex] + [tex]\frac{12}{11}[/tex] * [tex]\frac{9}{5}[/tex] = [tex]\frac{12}{11}[/tex] * ( [tex]\frac{21}{5}[/tex] + [tex]\frac{9}{5}[/tex] )ii. [tex]\frac{1}{11}[/tex] * [tex]\frac{17}{10}[/tex] - [tex]\frac{7}{10}[/tex] * [tex]\frac{1}{11}[/tex] = [tex]\frac{1}{11}[/tex] * ( [tex]\frac{17}{10}[/tex] - [tex]\frac{7}{10}[/tex] )Q3.i. [tex]\frac{72}{11}[/tex] = [tex]\frac{72}{11}[/tex]ii. [tex]\frac{13}{11}[/tex] = [tex]\frac{13}{11}[/tex]iii. -49 = (-49)iv. [tex]\frac{121}{81}[/tex] = [tex]\frac{121}{81}[/tex] v. [tex]\frac{265}{72}[/tex] = [tex]\frac{265}{72}[/tex]vi. [tex]\frac{265}{72}[/tex] = [tex]\frac{265}{72}[/tex]Meaning of mathematics propertiesMathematics properties is a characteristics or feature that is applied to a mathematics equation or given to a set to a definite result.
Mathematics properties have three major properties which are the commutative property, associative property and the distributive property.
In conclusion, the mathematics properties and solutions to the equation are listed above.
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Related Questions
Two numbers have a sum of 23 and a difference of 5. What is the smaller of the two numbers.
Answers
Answer:
9Step-by-step explanation:
Two numbers have a sum of 23 and a difference of 5. What is the smaller of the two numbers.
x + y = 23
x - y = 5
(23 - 5) : 2 = 9
9 + 5 = 14
check
14 + 9 = 23
14 - 9 = 5
Step-by-Step Explanation:
Let larger no. be ‘x’
Let smaller no. be ‘y’
Sum (x + y) = 23
Difference (x - y) = 5
Therefore,
x + y = 23 => Eq. 1
x - y = 5 => Eq. 2
On Adding Eq. 1 and 2, we get :-
=> 2x + 0 = 28
=> 2x = 28
=> x = 28/2 = 14
Substitute x = 14 in Eq. 1 :-
=> x + y = 23
=> 14 + y = 23
=> y = 23 - 14 = 9
Therefore, x = 14 ; y = 9
Hence,
Larger number = 14
Smaller number = 9
the heights of a group of
people are normally distributed
with a mean of 62 inches and a
standard deviation of 1.5. what
percent of the group is between
62 and 65 inches tall?
Answers
The percentage of the group that is between 62 and 65 inches tall is 47.725%
How to determine the probability?The given parameters are:
Mean, μ = 62Standard deviation, σ = 1.5Calculate the z-scores for x = 62 and x = 65 using:
z = (x - μ)/σ
So, we have:
z = (62 - 62)/1.5 = 0
z = (65 - 62)/1.5 = 2
The percentage is then represented as:
P(62 < x < 65) = P(0 < z < 2)
Rewrite as:
P(62 < x < 65) = P(z < 2) - P(z < 0)
Evaluate
P(62 < x < 65) = 0.47725
Express as percentage
P(62 < x < 65) = 47.725%
Hence, the percentage of the group that is between 62 and 65 inches tall is 47.725%
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What is the surface area of the cylinder with height 3 mi and radius 8mil? Round your answer to the nearest thousandth
Answers
Answer:
553.143 mi²
Step-by-step explanation:
Surface Area (Cylinder) :
2πr (r + h)2 x 22/7 x 8 (8 + 3)16 x 22/7 x 11176 x 22/73872/7553.143 mi²Answer:
What is the surface area of the cylinder with height 3 mi and radius 8mil? Round your answer to the nearest thousandth
Step-by-step explanation:
SOLUTION
HEIGHT -3
RADIUS - 8
AREA - 2πr ( r+h)
[tex] 2 \times \frac{22}{7} \times 8(8 + 3) \\ \\16 \times \frac{22}{7} \times 11 \\ \\ 176 \times \frac{22}{7} \\ \\ \frac{3872}{7} \\ = 553.143[/tex]
A 15 oz can of green beans usually costs $0.99. This week, a supermarket chain is advertising 2 cans for $1.70. Is this a bargain? Show your work and explain why or why not it will save money and by how much ?
Answers
Answer:
It is a bargain because 0.99 + 0.99 = 1.98 which is more than 1.70. You would be paying less with this deal. It will save you 28 cents
Step-by-step explanation:
Six years after a tree was planted, its height was 7 feet. Nine years after it was planted, its height was 16
feet. Which of the following equations gives the height y, in feet, of the tree after x years if the tree grows
at a constant rate? Check all of the boxes that apply.
y - 6 = 3(x – 10)
y- 16 = 3(x-9)
y = 3x - 11
y=-3x-23
D
DONE
Answers
Answer:
(b) y -16 = 3(x -9)(c) y = 3x -11Step-by-step explanation:
You are given a couple of points:
(years, heigh) = (6, 7) and (9, 16)
and asked to write a linear equation that they satisfy. In general, you need to find the slope using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (16 -7)/(9 -6) = 9/3 = 3
__
point-slope equationThe point-slope form of the equation for a line can be used with this information.
y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)
Using the given points, you can write either of the equations ...
y -7 = 3(x -6) . . . . . using the first point
y -16 = 3(x -9) . . . . . using the second point. This matches choice B.
__
slope-intercept equationEither of the point-slope equations can be rearranged to give the slope-intercept equation.
y -16 = 3(x -9)
y = 3x -27 +16 . . . . eliminate parentheses, add 16
y = 3x -11 . . . . . This matches choice C.
__
Additional comment
The first choice has the right slope, but uses a point not on the line (10, 6).
The last choice has the wrong slope and the wrong y-intercept.
how do i Solve the inequality:
n/3>1
Answers
Answer:
n>3
Step-by-step explanation:
n/3>1
3(n/3)>1(3)
n>3
See your levels
Deb started doing yard work at 9:52 A.M. After working for 1 hour and 48 minutes, she
stopped to have lunch. It took her 36 minutes to eat lunch.
When did Deb finish eating lunch?
12:16 P.M.
12:32 P.M.
1:16 P.M.
1:32 P.M.
Submit
Id
Conany
Rina
Hein center
ser des
Toll
Answers
So deb finished eating her lunch at 12:16pm
The correct answer is 12:16 P.M.
How to find when did Deb finish eating lunch ?According to the problem,
Deb started doing yard work at 9:52 A.M.After working for 1 hour and 48 minutes, she stopped to have lunch.It took her 36 minutes to eat lunch.∴ Time at which Dev finishes her lunch =
9:52 A.M. + ( 1 hour and 48 minutes + 36 minutes )
= 11:40 A.M. + 36 minutes = 12 : 16 P.M.
∴ Deb finish eating lunch at 12:16 P.M.
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Question 4 of 10
Which of the following is the equation of a line in slope-intercept form for a
a
line with slope = 2/3 and yintercept at (0, -2)?
Answers
Answer:
A is in line with slope =2/3 and yintercept at (0,-2)
8.EE.1.2
Which expressions have a value that is between 9 and 10. Select all that apply.
A.) √80
B.) √89
C.) √101
D.) 3 √725
E.) 3 √750
F.) 3 √999
G.) 3 √1010
Answers
Considering that the square root of 9 is of 81 and of 10 is of 100, we have that the expression that has a value between 9 and 10 is given by:
B.) √89
E.) [tex]\sqrt[3]{750}[/tex]
F.) [tex]\sqrt[3]{999}[/tex]
How the square root of a number is used to solve this question?We suppose numbers n and m, with square roots given, respectively, by n² and m².
Then, the square roots of all numbers between n² and m² have values between n and m.
In this problem, the square roots are given by:
9² = 81.10² = 100.Hence, the square root of all values between 82 and 99 are values between 9 and 10, thus option B is correct.
As for the cubic root, we apply the same logic and have that:
9³ = 729.10³ = 1000.Hence options E and F are also correct, as the values between 730 and 999 have cubic roots between 9 and 10.
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A represents Mr. Mole's altitude relative to the ground (in meters) after t
minutes.
A=-2.3t-7A=−2.3t−7A, equals, minus, 2, point, 3, t, minus, 7
How fast did Mr. Mole descend
Answers
Using the slope of the linear function, it is found that Mr. Mole descends 2.3 meters per minute.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, Mr. Mole's altitude in meters after t minutes is given by:
A = -2.3t - 7.
The rate of change is the slope of m = -2.3, hence, Mr. Mole descends 2.3 meters per minute.
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A cylindrical can of cocoa has the dimensions shown at the right.
What is the approximate area available for the label?
9 2
Answers
Answer:
What are the dementions? 9 and 2?
That would be 9*3.14*4 = 133.04
~ 133.04 units cubed
Step-by-step explanation:
someone help me please help please please help me asap
Answers
Answer:
50%
Step-by-step explanation:
The given word :
E A C H
There are 2 vowels.
Probability (vowel) = No. of vowels / Total lettersP (vowel) = 2 / 4P (vowel) = 1/2 = 0.5P (vowel) = 50%helpppppppppppppppppppp
Answers
Answer:
see explanation
Step-by-step explanation:
under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
(- 4, - 7 ) → (4, - 7 )
A basketball player shoots the ball with an initial velocity of 15.8 ft./sec. at an angle of 43.8° with the horizontal. To the nearest tenth, find the initial horizontal component of the vector that represents the velocity of the ball.
A) 4.4 ft./sec.
B) 10.9 ft./sec.
C) 11.4 ft./sec.
D) 15.2 ft./sec.
Answers
The initial horizontal component of the vector which represents the velocity of the ball is; Choice C; 11.4 ft./sec.
What is the horizontal component of the ball's velocity?It follows from the task content that the velocity vector of the ball has magnitude 15.8 ft./sec. and is at an angle of 43.8° with the horizontal.
On this note, it follows from vector resolution that the horizontal component of the ball's velocity is;
V(x) = V cos 43.8⁰
V(x) = 11.4 ft./sec.
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Grogg typed the following $1000$ expressions into his calculator, one by one: \[\sqrt{1}, \sqrt{2}, \sqrt{3}, \sqrt{4}, \dots, \sqrt{999}, \sqrt{1000}. \]how many times will grogg's result be an integer?
Answers
Since 30² = 900 and 40² = 1600, between 30 and 40 of the numbers Grogg enters will reduce to integers. Now just find which count is correct. We don't have to look far:
31² = 961
32² = 1024
so there 31 of the outputs of √1, √2, √3, ..., √1000 are integers.
Grogg will result to integers with 31 outputs from √1, √2, √3, ..., √1000 .
What are integers?An integer serves as the whole number which can be a positive or negative numbers , such as 6, 9, but it cannot be a fraction.
since, she is starting from √1, √2, √3, up to √1000 , then we know that
31² = 961, then we can find the correct count which is 31. so if she is to input those number into square root one after the other , she will have 31 count.
Therefore, Grogg will result to integers with 31 outputs from √1, √2, √3, ..., √1000 .
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QUICK PLEASE HELP!FOR 30 POINTS TY Marisol drives 14 miles to a movie theater. She stops after 6.5 miles to pick up
at her house. Then she continues to drive to the movie theater. Marisol wants to know the
distance she and Alicia travel together.
Let y be the distance in miles from Alicia's house to the movie theater.
»Which equations can you solve to find the value of y?
Choose ALL that apply.
y=14-6.5 y +6.5 = 14
O What is the distance from Alicia's house to the movie theater?
? miles
Answers
Answer:
equation 1, y = 14 - 6.5
From Alicia's house, the movie theater is 7.5 miles away
Step-by-step explanation:
the total miles is 14
Marisol already drove 6.5 so the remaining amount of miles to the movie theater is 14 - 6.45
A frozen yogurt shop offers frozen yogurt in the sizes shown.
The cost per cubic inch is $0.10 for each container’s contents. What is the difference between the costs of yogurt in the two containers if each is filled with yogurt? Round to the nearest cent.
Cost of the yogurt in cylinder: $
____
Cost of the yogurt in cone:$
____
Difference in cost:$
____
Answers
The cost for the cylindrical container will be $2.8 and for the conical container, $0.94 and the difference is $1.86
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like radius length in the case of cylinders and cones.
Given that:-
The cost per cubic inch is $0.10 for each container’s contentsThe volume of a cylinder:-
V = πr²h
V = π x (1.5)² x 4 = 28.27 cubic inches
So the cost will be = 28.27 x 0.10 = $2.8
The volume of the cone:-
V = (1 / 3 ) πr²h
V = (1 / 3 ) π x ( 1.5 )² x 4 = 9.42 cubic inches
The cost will be = 9.42 x 0.10 = $0.94
The difference between the two costs will be:-
= $ 2.8 - $0.94
= $1.86
Therefore the cost for the cylindrical container will be $2.8 and for the conical container, $0.94 and the difference is $1.86
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Answer: cost for the yogurt cylinder 2.83 cost of the yogurt cone 0.94 different cost 1.89
Step-by-step explanation:
use formula to find the volume
then multply both 0.10
round to the nearest hundredth
then subtract
What is the volume of a sphere with a radius of 15
inches?
235.5
113040.0
14130.0
1766.25
Answers
Answer:
C) V = 14130 in³
Step-by-step explanation:
Volue of a sphere: 4/3πr³
π = 3.14r = 15 in.Substitute the values from above into the formula to find the volume of the sphere:
V = 4/3πr³
V = 4/3*3.14*15³
V = 4/3*3.14*3375
V = 4/3*10597.5
V = 14130 in³
Hope this helps!
Which expression has a value of 80?
Answers
Type each expression into your calculator. You should find that
[tex](5+3)^2 + 32 \div 2 = 8^2 + 16 = 64 + 16 = 80[/tex]
Showing that choice D is the answer.
Hey could someone help me with this question?
Answers
Answer:
u = 5 m/s
Step-by-step explanation:
Given
s = 20 mt = 2 sa = 5 m/s²Required Formula
s = ut + 1/2at²Solving
20 = 2u + 1/2(5)(2)²20 = 2u + 102u = 10u = 5 m/sFrom his eye, which stands 1.64 meters above the ground, Keshawn measures the angle of elevation to the top of a prominent skyscraper to be 33 degrees. If he is standing at a horizontal distance of 385 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest tenth of a meter if necessary.
Answers
The height of the scyscraper will be equal to H=251.66 meters
What is trigonometry?The branch of mathematics set up a relatioship between the angle and the sides of the right angle triangle is called as trigonometry.
Here we have the following data:-
The height of the observer's eye=1.63 meters
The angle which eye is making withe the building=33
The horizontal distance = 385 meters
So the height of the building is calculated as:-
[tex]Tan\theta=\dfrac{P}{B}\\\\\\tan\theta=\dfrac{H-1.64}{385}\\\\ \\\\tan33=\dfrac{H-1.64}{385}\\\\\\\\[/tex]
H=251.66 meters
hence height of the scyscraper will be equal to [tex]H=251.66\ meters[/tex]
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Answer:251.7
Step-by-step explanation:
How many differnt flags with 3 stripes are possible, using the colours red (R), blue (B) and yellow (Y)? Each colour can be used obly once in each flag.
Answers
Answer:
6
Step-by-step explanation:
3 x 2 x 1
first strip you can have 3 options
second only 2 options left
last one, only 1 choice
RBY
RYB
BRY
BYR
YRB
YBR
Answer:
6 flags
Step-by-step explanation:
The flag must have stripes of 3 different colors.
Ways to arrange each stripe :
Stripe 1 = 3Stripe 2 = 3 - 1 = 2Stripe 3 = 1Stripe 1 x Stripe 2 x Stripe 3
3 x 2 x 16 flagssomeome help me plsssssssssssssssssss
Answers
Please help with math questions.
Answers
x = 2
[tex]\bold{EXPLANATIONS:}[/tex]
Please! Help
John is collecting data on the number of spots on ladybugs. He records it in this table.
2 7
5 4
3 3
5 5
6 5
The mean of the data is , and the median is .
Answers
Answer:
the mean is 4.5
the median is 5
Step-by-step explanation:
Describe the graph that is produced by the equation (x - 7)2 + (y + 5)2 > 25.
The conic represented by the equation is a(n)
The solution set is
v include the boundary.
Answers
The conic section which is represented by the equation is a circle. The solution set of this equation are (7.0),(2.-5),(7.-10),(12.-5).
What is the equation of circle?The equation of the circle is the equation which is used to represent the circle in the algebraic equation form, with the value of center point in the coordinate plane and measure of radius.
The standard form of the equation of the circle can be given as,
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Here (h,k) is the center of the circle and (r) is the radius of the circle.
The given inequality equation is,
[tex](x - 7)^2 + (y + 5)^2 > 25\\(x - 7)^2 + (y + 5)^2 > 5^2[/tex]
This equation is similar to the equation of circle. Thus, the conic represented by the equation is a circle. The center and radius of this circle is,
[tex](h,k)=(7,-5)\\r=5[/tex]
The solution set of this circle is the all the point which lies on this circle. In the attached graph, the solution set is shown which are (7.0),(2.-5),(7.-10),(12.-5).
Thus, the conic section which is represented by the equation is a circle. The solution set of this equation are (7.0),(2.-5),(7.-10),(12.-5).
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Answer:
A circle with a center (7,–5) and d unbounded and does not
Step-by-step explanation:
The conic represented by the equation is a(n)
✔ circle with a center (7,–5)
.
The solution set is
✔ unbounded and does not
include the boundary.
which expressions is equivalent to 4^3 x 4^x
Answers
Answer:
Step-by-step explanation:
256x
need help with this one if someone doesnt mind helping. thank you!
Answers
Answer:
wdymm?
Step-by-step explanation:
braden scored 9 fewer points on his math test than ava did if ava scored an 86 what was bradens score
Answers
Subtract 9 from 86
86 - 9 = 77
Answer : Braden’s score was 77
suppose the ratio of chocolate cupcakes to vanilla cupcakes baked today how many were chocolate and how many were vanilla 30 POINTS
Answers
Answer:
Ratio Needed
Step-by-step explanation:
In order to solve this problem, we need the ratio. Please give me the ratio, so that I can help you ASAP. Thanks!
