[tex]4\dfrac{1}{3}\div\left(-\dfrac{5}{6}\right)\qquad(*)\\\\\text{Convert the mixed number to the improper fraction:}\\\\4\dfrac{1}{3}=\dfrac{4\cdot3+1}{3}=\dfrac{12+1}{3}=\dfrac{13}{3}\\\\(*)=\dfrac{13}{3}\div\left(-\dfrac{5}{6}\right)\\\\\text{By dividing by a fraction, we multiply by its reciprocal.}\\\\=\dfrac{13}{3}\cdot\left(-\dfrac{6}{5}\right)\qquad\text{simplify}\\\\=\dfrac{13}{3\!\!\!\!\diagup_1}\cdot\left(-\dfrac{6\!\!\!\!\diagup^2}{5}\right)=-\dfrac{13\cdot2}{1\cdot5}=-\dfrac{26}{5}=-\dfrac{25+1}{5}=-5\dfrac{1}{5}[/tex]
Answer:
the answer is 13/3 ÷ ( - 5/6 ) my luv :)
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Step-by-step explanation:
Does this relation represent a function
which is greater 0.7 or 3/4
The value of fraction 0.7 is greater than the value of 3/4.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the terms are 0.7 and 3/4. The values in the chemical points are,
First = 3/4 = 0.42
Second = 0.7
Here 0.7 is greater than the value 3/4 = 0.42
Hence, the greater value between the two values 3/4 and 0.7 is 0.7.
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What is the explicit rule for this geometric sequence?
a1=23;an=9⋅an−1
an=9⋅(23)n
an=23⋅9n
an=9⋅(23)n−1
an=23⋅9n−1
The Information about Geometric sequence is:
[tex]a_{1}=23 , a_{n}=9\times a_{n-1}[/tex]
→nth term of sequence = 9× (n-1) th term
Also , Common Ratio of a Geometric Sequence =[tex]\frac{\text{Second term }}{\text{First term}}[/tex]
[tex]\frac{a_{n}}{a_{n-1}}= \text{Common ratio}}=9\\a_{n}= a_{1}\times r ^{n-1}\\\\a_{n}=23\times 9^{n-1}[/tex]
Option 4 : [tex]a_{n}= 23 \times 9^{n-1}[/tex] is true.
Hannah travels 6 times as many minutes to work as Raoul does. Together, they travel for 63 minutes. How many minutes does Hannah ? Draw a model and write an equation to solve. Also just tell me the strategys to draw the model thank you!
how would i create a real life example that can be modeled by the expression -2×4
The band sold 385 cases of fruit. There are 24 bags of fruit in each case. Which is the best estimate of the number of bags of fruit sold?
A. 900 bags of fruit
B. 1,000 bags of fruit
C. 6,000 bags of fruit
D. 10,000 bags of fruit
Answer:
it is 10,000
Step-by-step explanation:
The sum of three consecutive odd numbers is 111. What is the smallest of the three numbers? (Use 8 steps to success)
What percent of 90 is 36
My sister is 3 times as old as I am. Five years from now, she will be twice as old as I will be. How many years old is my sister now?
Is y=6x-6 direct proportion
A room has an area of 60 square meters and a perimeter of 32 meters. What are the length and width of the room?
The length of the room is 10 m and width is 6m.
We have given that the area is 60 square meters
and perimeter of the square is 32 meters
What is the formula for the area of the square?[tex]Area =L \times W[/tex]
we have given that the area is 60
Therefore,[tex]L \times W = 60.......(1)[/tex]
What is the formula for the perimeter?[tex]Perimeter=2(L + W)[/tex]
From given we get,
[tex]2(L + W) = 32[/tex]
[tex]L + W = 16[/tex]
[tex]L = 16 - W.......(2)[/tex]
Substitute the value of L = 16 - W into (1) we get,
[tex]L \times W = 60[/tex]
[tex](16 - W) \times W = 60[/tex]
[tex]16W -W^2 = 60[/tex]
[tex]W^2 - 16W + 60 = 0[/tex]
[tex](W - 6)(W - 10) = 0[/tex]
[tex]W - 10 = 0\implies W = 10\\W - 6 = 0\implies W = 6[/tex]
Therefore the length is 10 m and width is 6m.
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help on homework due tomorrow
The tax on a property with an assessed value of $120,000 is $300. Find the tax on a property with an assessed value of $140,000
At noon the temperature was 12°. It rose 8° during the afternoon, then dropped 28°by midnight. What was the temperature by midnight?
The temperature by midnight will be 32°.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Temperature is the randomness of the molecules known as temperature.
At noon the temperature was 12°.
It rose 8° during the afternoon, then dropped 28°by midnight.
Then the temperature by midnight will be given as,
⇒ 12° - 8° + 28°
⇒ 32°
Thus, the temperature by midnight will be 32°.
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what happens to a rational number in fractional form converts to a decimal
an apple has a mass of 297 how many killo grams is it
Your local minor League baseball team has 120 ball caps 180 miniature baseball keychains and 240 glow-in-the-dark bracelets to give away to the children on opening day the items will be split into identical sets with no items left over each child will receive one set of items what is the greatest number of children that will receive a set of items on opening day please show all work due today
To find the greatest number of children that will receive a set of items on opening day, we can find the greatest common divisor of the quantities of ball caps, keychains, and bracelets.
Explanation:To find the greatest number of children that will receive a set of items, we need to determine the number of identical sets that can be made from the available items. We can do this by finding the greatest common divisor (GCD) of the quantities of ball caps, keychains, and bracelets.
The GCD of 120, 180, and 240 is 60. This means that 60 sets of items can be made, with each set consisting of 2 ball caps, 3 miniature baseball keychains, and 4 glow-in-the-dark bracelets.
Therefore, the greatest number of children that will receive a set of items on opening day is 60.
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Imagine working with a younger sibling or student who is having trouble with the 9 times table. Create an algorithm to help the student learn how to do this easily. You may need to use outside resources to help you. If you do, make sure to document where you retrieved those sources.
Note: Remember an algorithm is a description on how to perform a process. Try using numbered steps or bullet points to list instructions. Your algorithm must be able to be easily followed by others so they get the same results as you did. For example, if you made an algorithm on how to make a chocolate cake, you'd want others to be able to follow it so that their cake ended up tasting as delicious as yours!
Describe your algorithm in the space provided below.
The sketches below show cat's and Fred's driveways. If the perimeter of each others of their driveways is the same, what is the length and width of Cat's driveway?
Answer:
40,12
Step-by-step explanation:
u count how many x's u have.4(for the first square)
add up the regular numbers
so u should have4x+50
repeat for the second one
so u should have 4x+25=6x+20
solve
u get 2x=30 simplify
u get 15
now plug it in and there is ur answer
The value of length and width for Cat's driveway are 25 ft and 7.5 ft respectively.
What is a rectangle?A rectangle is a type of parallelogram having equal diagonals.
All the interior angles of a rectangle are equal to the right angle.
The diagonals of a rectangle do not bisect each other.
Given that,
The length and width of Cat's driveway are 25 ft and x ft respectively.
And, the length and width of Fred's driveways are 2x ft and x + 10 ft respectively.
The perimeter of a rectangle is given as,
2(l + b)
Substitute the values to obtain the perimeters as,
Perimeter of Cat's driveway = 2( x + 25) ft
And, perimeter of Fred's driveway = 2(2x + x + 10) ft.
As per the question,
2( x + 25) = 2(2x + x + 10)
=> ( x + 25) = (2x + x + 10)
=> x = 15/2
= 7.5
Hence, the length and width of Cat's driveway are 25 ft and 7.5 ft respectively.
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Together, two wildlife refuge tour guides lead nine 45-minute tours each day. The wildlife refuge needs to calculate the person-hours for the tours to allocate enough money in their budget to pay the tour guides. What is the number of person-hours per day for the tours? Bubble A. 27 Bubble B. 540 Bubble C. 13.5 Bubble D. 270
I still need help on this question
Mr. Lyons is laying tile for the rectangular floor of a hotel lobby. The floor will be 38 tiles wide and 112 tiles long. He has a total of 4,400 tiles. Which explains whether or not he has enough tiles for the entire floor?
A. No, he does not have enough tiles. He needs 4,456 tiles, so he needs 56 more.
B. No, he does not have enough tiles. He needs 4,600 tiles, so he needs 200 more.
C. Yes, he has enough tiles. He needs only 4,146 tiles and will have 254 left over. D. Yes, he has enough tiles. He needs only 4,256 tiles a
D. Yes, he has enough tiles. He needs only 4,256 tiles and will have 144 left over.
Mr. Lyons has enough tiles he needs only 4,256 tiles A; option (D) Yes, he has enough tiles. He needs only 4,256 tiles and he will have 144 left over is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
Mr. Lyons is laying tile for the rectangular floor of a hotel lobby. The floor will be 38 tiles wide and 112 tiles long. He has a total of 4,400 tiles.
= 38x112
= 4256
= 4400 - 4256
= 144
Thus, Mr. Lyons has enough tiles he needs only 4,256 tiles A; option (D) Yes, he has enough tiles. He needs only 4,256 tiles and he will have 144 left over is correct.
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Find the value of the ratio for 63:135
Choose all the answers that apply. Todd drops three balls made of different materials to see how high they will bounce. He drops each ball from a height of ten feet. All the balls are the same size. The independent variable is how high the balls bounce. The dependent variable is the height the balls bounce. The independent variable is the type of material the balls are made from. The height the balls are dropped from is a control. The size of the balls is a control.
The independent variable is the type of material the balls are made from
Write 2/3 of 4 as a fraction.
if the simple interest on $4,000 for 10 years is $3,200,then what is the interest rate
-2(4-3x)-6x=10 solve for x
I need help I don't understand how to do this
The distance between city hall and the post office is 6 1/2 miles . The library site is 1 1/4 closer to city hall than to post office
City hall to post office = 6 1/2 miles
City hall to library site = 1 1/4 miles
library site to post office = unknown. let it be x. 5 1/4 miles
1 1/4 miles + x = 6 1/2 miles
x = 6 1/2 miles - 1 1/4 miles
Find x.
1) convert the mixed fractions into fractions. 6 1/2 = 13/2 ; 1 1/4 = 5/4
x = 13/2 - 5/4
2) get the common denominator. 4 is twice as much as 2. multiply 13/2 by 2/2
13/2 * 2/2 = 26/4
3) Subtract the top numbers and put over the same denominator
x = 26/4 - 5/4 = (26-5) / 4 = 21 / 4
4) simplify the fraction
x = 21/4 = 5 1/4 miles from library site to post office.
It takes Francisco 15 minutes to ride his bike 4 km, which is the distance from home to school. What is his average speed?
Answer:
The average speed is 16 km/hr.
Step-by-step explanation:
Given : It takes Francisco 15 minutes to ride his bike 4 km, which is the distance from home to school.
To find : What is his average speed?
Solution :
Distance covered from home to school is 4 km.
Time taken by bike to cover the distance is 15 minutes.
Converting minutes into hour,
1 hour = 60 minutes
1 minute = [tex]\frac{1}{60}[/tex] hours
15 minute = [tex]\frac{15}{60}[/tex] hours
15 minute = 0.25 hours
The speed formula is given by,
[tex]\text{Speed}=\frac{\text{Distance}}{\text{Time}}[/tex]
[tex]\text{Speed}=\frac{4}{0.25}[/tex]
[tex]\text{Speed}=16[/tex]
Therefore, The average speed is 16 km/hr.