how to do the parcial-quotients algorithm
To perform the partial-quotients algorithm, follow these steps:
1. Determine the largest multiple of the divisor that fits into the dividend without exceeding it. This multiple becomes the partial quotient.
2. Multiply the divisor by the partial quotient and write the product below the dividend.
3. Subtract the product from the dividend to find the remainder.
4. Bring down the next digit of the dividend (if there is one) to the right of the remainder, forming a new dividend.
5. Repeat steps 1-4 until there are no more digits to bring down or the remainder is less than the divisor.
6. The sum of the partial quotients is the quotient, and the final remainder is the remainder of the division.
Let's apply these steps to an example division: dividing 154 by 3.
1. The largest multiple of 3 that fits into 15 is 15 (5 groups of 3), so the first partial quotient is 5.
2. Multiply 3 by 5 to get 15, and write it below the 15 in the dividend.
3. Subtract 15 from 15 to get a remainder of 0.
4. Bring down the next digit, 4, to get a new dividend of 04.
5. The largest multiple of 3 that fits into 4 is 3 (1 group of 3), so the second partial quotient is 1.
6. Multiply 3 by 1 to get 3, and write it below the 4 in the dividend.
7. Subtract 3 from 4 to get a final remainder of 1.
The quotient is the sum of the partial quotients, which is 5 + 1 = 6, and the remainder is 1. So, 154 divided by 3 is 6 with a remainder of 1.
The partial-quotients algorithm is particularly useful for dividing large numbers because it breaks down the division into more manageable parts. It also helps with understanding the concept of division as a process of repeated subtraction.
benjamin builds a fence in the shape of a triangle. each side of the fence is the same length. if the perimeter is 36 feet, how long is each side of the fence.
Final answer:
Each side of Benjamin's equilateral triangle fence is 12 feet in length. This is calculated by dividing the total perimeter of 36 feet by the number of sides, which is three.
Explanation:
Since Benjamin's fence forms an equilateral triangle with equal sides, the length of each side can be easily calculated by dividing the perimeter by the number of sides. The perimeter of the triangle is given as 36 feet. Since a triangle has three sides, we simply divide the perimeter by 3 to find the length of each side.
To calculate: 36 feet (total perimeter) ÷ 3 sides = 12 feet per side.
Therefore, each side of Benjamin's equilateral triangle fence measures 12 feet in length.
ANSWERS 1-8 PLEASE QUICKLY
At what position on the number line is the red dot located
On the number line is the red dot located on √39. Hence option D is true.
Given that;
The number line with a point is shown with a red point.
Here from the number line,
The point shown is between 6 and 7 and is nearest to 6.
Hence check all the given options.
A. √29= 5.38
Which is not between 6 and 7.
B. √49= 7
Which is not between 6 and 7.
C. √78= 8.83
Which is not between 6 and 7.
D. √39= 6.24
Which is between 6 and 7.
Thus the correct option is D.
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While remodeling her kitchen Angela is repainting. She estimates that she paints 55 square feet every half-hour. How many square feet does Angela paint per hour?
Answer:
110 sq feet
Step-by-step explanation:
In Nathan's baseball card.Collection 58% of the cards are players from the national league. He has 702 baseball cards. About how many more baseball cards are players from the national league than from the American league answer
What number is 73% of 215?
Choose the equation or proportion that you can use to solve the problem
A. 215=0.73n
B. n=0.73*215
C= 0.73 =n* 215
D= 215 = 73n
Plz help!!!! Due today
and plz no spamming
The equation which represents the 73% of 215 is n = 0.73 x 215. The correct option is B.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the number is 73% of the number 215. The number will be calculated by the equation below,
n = 0.73 x 215
n = 156.95
Therefore, the equation which represents 73% of 215 is n = 0.73 x 215. The correct option is B.
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500 times 12.7 show work and do correctly
2/5 of the instruments in the marching band are brass one third or percussion and the rest are wood ones 1/8 of the brass instruments or two bus if there are 240 instruments in the band how many are tubers
Ellen's car averages 35 miles per gallon of gas. If you used equivalent ratios to graph her car's gas usage, how would the graph differ from the graph of Luis's car's gas usage?
The difference in the cars' graphs would depend on their respective miles per gallon ratings. A higher MPG results in a steeper line on the graph, reflecting better fuel efficiency. Therefore, the MPG rate and equivalent ratios for each car determine the graph's slope, indicating their difference in gas usage.
Explanation:The difference in graph layout would be based on the cars' fuel efficiency, i.e., miles per gallon (MPG). Ellen's car has an MPG of 35. This means that for every gallon of gas, Ellen's car can travel 35 miles. If we graph this, it would be a straight line graph, showing a constant ratio of 35 miles to 1 gallon of gas.
On the other hand, if Luis's car has a different fuel efficiency, the ratio represented on the graph would change accordingly. For instance, if Luis's car has an MPG of 20, then his car's graph would be less steep than Ellen's because his car consumes more gasoline for the same distance. Alternatively, if his car gets 40 MPG, then Luis's car's graph would be steeper than Ellen's, as his car travels further on the same amount of gas.
So, equivalent ratios and gas usage relate directly to the MPG rate of each car. Thus, the MPG rate ultimately determines the slope of each car's graph, showing how they differ in terms of gas usage for equivalent distances travelled.
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A bakery sells 8 muffins for every 6 bread rolls. They sell 640 muffins in one week, how many rolls did they sell? USE SCALAR MULTIPLICATION ON YOUR DOUBLE NUMBER LINE.
nad podaną liczba wpisz liczbę 2 razy większa a pod nią 2 razy mniejsza
....... ........ ..........
1300 4000 2500
......... ......... ........
daje naj
To solve the given problem, let's call the given number x. The number that is 2 times greater than x is 2x, and the number that is 2 times smaller than x is x/2. By solving the equation x + (2x) + (x/2) = 1300, we find that the given number is 400.
Explanation:To solve the given problem, we need to find a number that is 2 times greater than the given number and a number that is 2 times smaller than the given number. Let's call the given number x. So the number that is 2 times greater than x is 2x, and the number that is 2 times smaller than x is x/2. We can set up the following equation: x + (2x) + (x/2) = 1300. By simplifying and solving for x, we find that the given number is 400.
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a deli sells a sandwich spread for $6.40 per pound. How much do you have to pay for 24 ounces of the spread. (hint: 16 ounces in 1 pound)
$9.6 have to pay for 24 ounces of the spread if a deli sells a sandwich spread for $6.40 per pound.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.
It is given that:
A deli sells a sandwich spread for $6.40 per pound.
$6.40 --> 1 pound
16 ounces = 1 pound
24 = x pound
x = 1.5 pound
$y ---> 1.5 pound
y = 1.5(6.40)
y = $9.6
Thus, $9.6 have to pay for 24 ounces of the spread if a deli sells a sandwich spread for $6.40 per pound.
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To find the cost for 24 ounces of sandwich spread at $6.40 per pound, convert ounces to pounds (24 oz to 1.5 pounds) and then multiply by the price per pound, resulting in a total cost of $9.60.
To determine how much you would have to pay for 24 ounces of sandwich spread at $6.40 per pound, first, you need to convert the weight from ounces to pounds. Since there are 16 ounces in 1 pound, you would perform the following calculation:
24 ounces / 16 ounces per pound = 1.5 pounds.
Next, to find the cost, multiply the number of pounds by the price per pound:
1.5 pounds x $6.40 per pound = $9.60.
Therefore, you would have to pay $9.60 for 24 ounces of the sandwich spread.
What's half of 1.9 grams
three less than the quotient of a number and 6 is 1
Three less than the quotient of a number and 6 is 1 can be numerically represented as 6Q - 3 = 1.
What is numerical representation ?Numerical representation can be form from given statements where the representation contains only numbers and variables and arithmetic operations.
According to the given question three less than the quotient of a number and 6 is 1.
Let the quotient of the number be Q.
Given the number is 1.
So, this can be numerically form as
6Q - 3 = 1.
6Q = 1 + 3
6Q = 4.
Q = 4/6
Q = 2/3.
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To make concrete mix, Monica pours 34 pounds of cement,68 pounds of sand,14 pounds of small pebbles , and 19 pounds of large pebbles into a large wheelbarrow . If she pours the mixture into 9 equal size bags ,how much bags will each bag weigh?
A carpenter makes legs for 3-legged stools and 4-legged tables. He makes a total of 46 legs. He could have made legs for how many 3-legged stools? A. 8 B. 10 C. 12 D. 16
Ivan ran three times last week. Here are the distances he ran (in kilometers).
7.2
,
10.53
,
6
What is the total distance Ivan ran on these three days?
What is this number written in expanded form
2.306
There are 30 musicians in the carter school marching band. How many of them play brass instruments
The total number of students who plays brass instruments are 12 students
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The total number of students in the Carter School Band = 30 students
From the figure we can see that ,
Number of students who plays percussion = 1/3 of number of students
Number of students who plays woodwind = 4/15 of number of students
Number of students who plays brass = 2/5 of total number of students
So , the equation will be
Number of students who plays brass B = 2/5 of total number of students
Substituting the values in the equation , we get
Number of students who plays brass B = ( 2/5 ) x 30
Number of students who plays brass B = 2 x 6
Number of students who plays brass B = 12 students
Therefore , the value of B is 12 students
Hence ,
The total number of students who plays brass instruments are 12 students
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15 percent off of 2.25
on Tuesday Donovan earned $11 for two hours of babysitting on Saturday he babysat for the same family and earned $38.50. How many hours did he babysit on Saturday?
The value of a professional basketball player's autograph rose 40% in the last year. It is now worth $378.00.
What was it worth a year ago?
A. $280.00
B. $270.00
C. $290.00
D. $250.00
What is the relationship between the x and y values on #2?
two step equations: Four more than twice a number is 8
27.64 x 3 estimate each product of whole numbers and decimals
What number is 10 more than 9? Explain or show how you know
Let
x---------> the number
The equation that represent this situation is
[tex]x=10+9[/tex]
[tex]x=19[/tex]
therefore
the answer is
The number is [tex]19[/tex]
Millie collected 100 stamps from different countries. Thirty-two of the stamps are from countries in Africa. What is 32/100 written as a decimal?
A 18,000 gallon swimming pool contains 7,000 gallons of water when a hose is placed into the pool and begins adding water at a rate Of 1100 gallons per hour
Final answer:
To estimate the time it would take to fill a swimming pool with a garden hose, use the formula: time = volume / flow rate. Part (a): time = 80,000 L / 60 L/min = 1333.33 min. Part (b): time = 80,000 L / 60,000 L/min = 1.33 min.
Explanation:
To find the time it would take to fill a swimming pool using a garden hose delivering a certain amount of water per minute, you can use the formula: time = volume / flow rate.
For part (a) of the question, the volume of the swimming pool is given as 80,000 L and the flow rate of the garden hose is 60 L/min. Plugging these values into the formula, we get: time = 80,000 L / 60 L/min = 1333.33 min.
For part (b) of the question, the volume of the swimming pool is still 80,000 L, but the flow rate is given in a different unit: 5000 m³/s. To make the units consistent, we need to convert 5000 m³/s to L/min.
There are 1000 L in 1 m³ and 60 min in 1 hour, so the conversion factor is 1000 L / 1 m³ * 60 min / 1 hour = 60,000 L/min.
Plugging this value into the formula, we get: time = 80,000 L / 60,000 L/min = 1.33 min.
what is the answer to 0.2 divided by 0.4