In mental math, we simplify computations. For the given problem, we round 6,189 to 6,000, subtract it from 56,211 to get 50,211 and add back the amount we rounded down (189) to get the answer 50,400.
Explanation:Using mental math means finding a solution with simplified steps or approximate computation, instead of the traditional written or calculator methods.
In this problem; 56,211 - 6,189, you can use rounding to make this easier.
1. Round 6,189 to the nearest thousand, which is 6,000.
2. Subtract this from 56,211 to get 50,211.
3. However, we rounded down by 189 at the beginning. To correct this, just add 189 back to the answer, resulting in 50,400.
This method simplifies the process and lessens your risk of making errors when handling larger numbers.
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For 56,211 - 6,189, rounding gives 50,000, and adding the small differences back in results in a final answer of 50,022.
To use mental math for the subtraction 56,211 - 6,189, consider the following steps:
First, round each number to the nearest thousand to simplify: 56,211 rounds to 56,000 and 6,189 rounds to 6,000.
Subtract the rounded numbers: 56,000 - 6,000 = 50,000.
Note that the actual numbers are slightly higher than their rounded values, making the difference slightly more than 50,000.
Adjust the result by calculating the exact difference between the small parts ignored during rounding. For example, the difference between 56,211 and 56,000 is 211, and
the difference between 6,189 and 6,000 is 189.
Add the small differences back into the result: 211 - 189 = 22.
Combine the simple difference with the adjustment: 50,000 + 22 = 50,022.
Therefore the final answer is 50,022
Naoya read a book cover to cover in a single session, at a rate of 555555 pages per hour. After 444 hours, he had 350350350 pages left to read.
Let yyy represent the number of pages left to read after xxx hours.
Complete the equation for the relationship between the number of pages left and number of hours.
Answer:
[tex]y=-55x+570\\[/tex]
Step-by-step explanation:
Ah im too lazy to type out everything
The equation for the relationship between the number of pages left and number of hours is y = 555x - 555 * 444.
The relationship between the number of pages left to read (y) and the number of hours (x) can be represented by a linear equation.
Naoya reads at a rate of 555 pages per hour, which means he reads 555 pages in one hour. In 444 hours, he read 555 * 444 pages.
So, the equation for the relationship between the number of pages left and the number of hours is:
y = 555x - 555 * 444
In this equation:
- y represents the number of pages left to read.
- x represents the number of hours.
- 555x represents the number of pages he reads in x hours (555 pages per hour).
- 555 * 444 represents the total number of pages he read in 444 hours.
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What is -18x - x = 5x -6 PLEASE ANSWER CORRECTLY IT IS MY HOMEWORK
Answer:
[tex]\large\boxed{x=\dfrac{1}{4}}[/tex]
Step-by-step explanation:
[tex]-18x-x=5x-6\\\\-19x=5x-6\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-19x-5x=5x-5x-6\\\\-24x=-6\qquad\text{divide both sides by (-24)}\\\\\dfrac{-24x}{-24}=\dfrac{-6}{-24}\\\\x=\dfrac{6:6}{24:6}\\\\x=\dfrac{1}{4}[/tex]
I need help with number 1
Answer:
1a. 0< -4 false
1b. -3> or = -7 true
1c. 4<= -1/2 false
At 7:17AM this morning, it was 83˚F outside. What is 83˚F in Celsius? What is 83˚F in Kelvin?
Answer: 28.33 Celsius and 301.483 Kelvin
83°F − 32) × 5/9 = 28.333°C
(83°F − 32) × 5/9 + 273.15 = 301.483K
What is the absolute value of -|-7 3/5|
Answer:
7 3/5
Step-by-step explanation:
The absolute value is never a negative.
Ex: What is the absolute value of -37
A. 37
so what is the square root of 81
Answer:
The 2nd root of 81, or 81 radical 2, or the square root of 81 is 9.
HOPE THIS HELPED!!!!!!!!!!!!! XDDDDDDDDD
What is 8+w/4 when w =16
Answer:12
Step-by-step explanation:16/4=4, 8+4=12
Answer:
12
Step-by-step explanation:
8+w/4, when w=16
8+16/4
8+4=12
What's the difference between a rational number and an irrational number. Give one example of each.
Answer: A rational number is any value that can be expressed as a ratio of two integers. An irrational number is any value that cannot be expressed as a ratio of two integers.
Rational 4 and 1/4
Irrational π and √3
If a number can be written in the form of the fraction of p and q then that number is known as the rational number whereas a number is not written in the form of the fraction p and q then that number is known as the irrational number.
Rational Number - If a number can be written in the form of the fraction of p and q then that number is known as the rational number, that is:
[tex]\rm Rational \;Number = \dfrac{p}{q}[/tex]
Where q is the denominator and p is the numerator.
For example - [tex]\dfrac{4}{3}[/tex] , [tex]\dfrac{1}{4}[/tex] , etc
Irrational Number - If a number is not written in the form of the fraction p and q then that number is known as the irrational number, that is:
[tex]\rm Irrational \;Number \neq \dfrac{p}{q}[/tex]
Where p is the numerator and q is the denominator.
For example - [tex]\pi, \sqrt{3}[/tex], etc
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What is the solution
y = 1/2y-6
X=-4
There are 15 pieces of fruit in a box . 4 are apples. There are 3 more pears than bananas. How many pears are in the box ?
Please help!!!!!!!!! ☝
Answer: About 9
Step-by-step explanation:
4/7 of 20 is about 11. 20-11 is 9
Can someone please do 1,2 and 3 please
Answer:
1. x= -1, -5
2. x= 9, -15
3. x= 3. -3
Step-by-step explanation:
7. Write the number 0.21212121... as a fraction.
Let x =
100x =
100x - x =
99x =
x=
So 0.2121... is equal to
Answer:
21 / 99
Step-by-step explanation:
You want to get rid of the decimals so
Let x = 0.21212121
then 100x = 21.21212121
then 100x - x = 21
99x = 21
x = 21 / 99
So 0.2121... is equal to 21 / 99
To write the repeating decimal 0.21212121... as a fraction, we can use the method of infinite geometric series. The fraction equivalent of the decimal is 21/99.
Explanation:To write the repeating decimal 0.21212121... as a fraction, we can use the method of infinite geometric series. Let x = 0.21212121... . Multiplying both sides of the equation by 100 gives 100x = 21.21212121... . Subtracting the original equation from this, we get 99x = 21, which means x = 21/99. Therefore, the decimal 0.21212121... is equal to the fraction 21/99.
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what are the coordinates of point T’, the image of point T(-2,5) after a rotation of 180 about the origin
Answer:
T'(2, - 5 )
Step-by-step explanation:
Under a rotation about the origin of 180°
a point (x, y ) → (- x, - y ), thus
T(- 2, 5 ) → T'(2, - 5 )
After a 180-degree rotation about the origin, the coordinates of point T' that is the image of T(-2,5) are (2,-5).
The coordinates of point T' after a rotation of 180 degrees about the origin are found by changing the signs of the original coordinates. The point T(-2,5) will thus be mapped to point T'(2,-5). This is because the 180-degree rotation reverses the direction of both the x and y coordinates. So, if the original point T has coordinates (x, y), then the rotated point T' will be (-x, -y).
Compute the average (mean) from the data shown. (round to the nearest tenth)
{48 , 95 , 73 , 39 , 78 , 41 , 89 , 29 , 95}
Answer:
65.2
Step-by-step explanation:
Add them together and divide the answer by 9
which of the following is equivalent to the equation 4x+7y=z?
The equivalent expression is: B. y = ((z + 4x)) / 7
To find an equation equivalent to 4x + 7y = z, we want to isolate one of the variables (either x or y on one side of the equation.
Let's isolate x in terms of y and z:
Starting with 4x + 7y = z, subtract 7y from both sides:
4x = z - 7y
Now, divide both sides by 4 to solve for x:
[tex]\[x = \frac{z - 7y}{4}\][/tex]
Therefore, the correct choice is option B: [tex]\(x = \frac{z - 7y}{4}\)[/tex].
Complete question:
Which of the following is equivalent to the equation 4x+7y=z ?
A. x=4z-28y
B. x= ((z-7y))/4
C. y=7z+28x
D. y= ((z+4x))/7
kimos car needed work the mechanic charged him 146.36 for parts plus 48$ per hour for labor if the mechanic worked for 3.5 hours how much did kimo pay
the blueprint of a conference room is made using a scale of 2 centimeters to 1 meter. if the drawing shows the room is 12 centimeters long,how long is the actual room
Answer:
6meters
Step-by-step explanation:
Use simple proportion
2cm = 1m
12cm = ?
(12x1)/2 = 6m
Answer: 6m
Step-by-step explanation:
Please answer this correctly
Answer: Steven
Step-by-step explanation: Steven lives further away from the park than anyone else.
Answer:
Steven
Step-by-step explanation:
I am going to use > and < signs to solve the problem.
From the first sentence,
Allie < Steven but Allie > Layla, so
Layla < Allie < Steven
From the second sentence,
Dave < Layla, so
Dave < Layla < Allie < Steven
Steven lives farther from the park
If sales tax is 7%, what is the total cost of both a new iphone that is $600 and a $50 case?
The cost for the phone and the case is 600 + 50 = $650
Multiply total cost by 7% to get the tax.
The tax would be 650 x 0.07 = $45.50
Add the tax to price of the phone and case to get total:
650 + 45.50 = $695.50
write the opposite number sentence
10 -7 = 3
Answer:
the opposite number sentence is 10=7+3
The opposite number sentence 10 - 7 = 3 will be 10 = 3 + 7.
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.
The sentence is given below.
10 - 7 = 3
Simplify the equation, then the equation can be written as,
10 - 7 = 3
10 = 3 + 7
The opposite number sentence 10 - 7 = 3 will be 10 = 3 + 7.
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What is equal to 20/40?
Answer:
1/2 is equal to 20/40
that is the answer
20/40
divide the fraction by 20
20/20=1
40/20=2
Answer: 1/2
Solve for y 3(2y+5)=33 what do y=
Answer:
y = 3
Step-by-step explanation:
Given
3(2y + 5) = 33 ( divide both sides by the multiplier 3 )
2y + 5 = 11 ( subtract 5 from both sides )
2y = 6 ( divide both sides by 2 )
y = 3
A bowling ball is traveling at 15 mi/h when it hits the
pins. How fast is the bowling ball traveling in feet per
second?
Neeeed help pleaseeeee????
Answer:
Leonard did make an error. He should have multiplied -7 by -5
Step-by-step explanation:
When you multiple a negative by a negative, it is a positive.
Matthew built 30 toys airplanes in 5 hours. What was Matthew’s unit rate for building the airplanes?
Please need help on this
Answer:
a. 276 vehicles
Step-by-step explanation:
7⁄10[13½] + 3⁄10[20] + 3v - 3 = [4][5280]
[tex] \frac{10323}{( \frac{7}{10})(13 \frac{1}{2}) + ( \frac{3}{10})(20) + 3} = v \\ \\ \frac{10323}{9 \frac{9}{20} + 6 + 3} = v \\ \\ \frac{10323}{9 \frac{9}{20} + 9} = v \\ \\ \frac{10323}{18 \frac{9}{20}} = v \\ \\ 559 \frac{21}{41} = v[/tex]
Now, we check to see which answer choice this quantity is closer to. Obviously, we will take 896 and 276:
-559 21⁄41 + 896 = 336 20⁄41
559 21⁄41 - 276 = 28221⁄41 → we take this number
* 559 21⁄41 is much more closer to 276 than it is to 896.
I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.
The current value of a baseball card is 60 times its original value v
(in dollars). The baseball card is worth $15. Write and solve an equation to find the original value of the baseball card.
The relation R is shown in the table below.
*
Y
-
35
-1 | 2
1
- 1
_
14
-1
Domain:
Range:
Answer:
(Insert table here)
Domain: {-3,-1,1}
Range: {-1,2,4,5}
The relation Q is described as a list of ordered pairs, shown below.
Q = { (-2, 4), (0, 2), (-1, 3), (4, -2) }
Domain: {-2,-1,0,4}
Range: {-2,2,3,4}
Step-by-step explanation:
Because its the answer
The Domain: {-3,-1,1} and Range: {-1,2,4,5}
What is domain and range?Domain – All of the values that go into a relation or a function are called the domain.
Range – All of the entities (output) which emerge from a relation or a function are called the range.
All input values that are used (independent values) forms the Domain set.
All output values that are used (dependent values) forms the Range set.
Example: Given Function:- f = 2x+1 , Find the domain, range if 1<=x<=5.
The values of x lies from 1 to 10.
So, domain is {1, 2, 3, 4, 5}.
The values of f obtained by putting domain elements in the function will be range.
So, if x=1 then f = 2(1)+1 = 3,if x=2 then f = 2(2)+1 = 5, if x=3 then f = 2(3)+1 =7, if x=4 then f = 2(4)+1 = 9, if x=5 then f = 2(5)+1 = 11.So, range is {3,5,7,9,11}.
We have relation Q as
Q = { (-2, 4), (0, 2), (-1, 3), (4, -2) }
so, we know domain are the input values
Domain: {-2,-1,0,4}
and range are the output values
Range: {-2,2,3,4}
In what direction are operations done?
A. Right to left
B. Left to right
Answer:
B
Step-by-step explanation:
The answer is "B", "Left-To-Right"
If your doing Apex or anything then this is the correct answer
Hopefully it helps :D
In mathematical operations, the direction can be from left to right or right to left, but in general, operations are performed according to the BODMAS/PEDMAS rule, which directs us from left to right.
Explanation:In mathematical operations, the direction can be either from left to right or right to left, this largely depends on the specific operation field. However, in general, mathematics operations follow the BODMAS/PEDMAS rule, and the operations are performed from left to right.
The rule simply states: Brackets, Orders (exponential, square roots, etc.), Division and Multiplication (from left to right), Addition and Subtraction (from left to right). If you have, for example, a problem like 3 + 4 * 2, you would first perform the multiplication (4*2 = 8), then add the answer to 3, for a total of 11.
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