The equation |a+b|=|a|+|b| is not always true for all rational numbers a and b.
Given that, |a+b|=|a|+|b|.
We need to check whether |a+b|=|a|+|b| for all rational numbers a and b.
What is a rational number?Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).
Now,
Example 1:
a=-3 and b=5
|-3+5|=|-3|+|5|
⇒2≠8
Example 2:
Take a=2 and b=4
|2+4|=|2|+|4|
⇒6=6
Therefore, from the above examples, we understood that |a+b|=|a|+|b| are not always true.
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Answer: |a+b|=|a|+|b| is not always true
Step-by-step explanation:
The equation |a+b|=|a|+|b| is not always true for all rational numbers a and b.Given that, |a+b|=|a|+|b|.We need to check whether |a+b|=|a|+|b| for all rational numbers a and b.What is a rational number?Rational numbers are in the form of p/q, where p and q can be any integerand q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).Now, Example 1:a=-3 and b=5|-3+5|=|-3|+|5|⇒2≠8Example 2:Take a=2 and b=4|2+4|=|2|+|4|⇒6=6Therefore, from the above examples, we understood that |a+b|=|a|+|b| are not always true.To learn more about the rational number visit:brainly.com/question/17450097.
Is 2 pm how many degrees are in the angle between the hour and minute hand
At 2 pm, the angle between the hour hand and the minute hand of a clock is 20 degrees. The calculation takes into consideration that the hour hand advances as minutes pass within an hour.
Explanation:The angle between the hour and the minute hand at 2 pm can be calculated in the following way. First, remember that a full circle, representing one hour on a clock, equals 360 degrees. So, each hour equals 30 degrees (360 divided by 12 hours). However, the hour hand also moves as the minutes pass. At 2 pm exactly, the minute hand is on 12, while the hour hand is at 2. But, the hour hand has also moved 1/3 of the way between 2 and 3 (since 20 minutes have passed in the hour). It is closer to 3 by 1/3 of 30 degrees which equals 10 degrees. Hence, the hour hand is at a position of 60 degrees (2 hours times 30 degrees per hour). Therefore, the angle between the two hands at 2 pm is 20 degrees.
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Write -7 - (-4) as an addition problem. Then simplify the expression.
In order from least to greatest what is 19% 19/20 1.9% 1.9 x 10 to the power of 5
Addison studies a tarantula that is 30 mm long suppose she uses a microscope to magnify the Spider by 4 x 10 to the second power how long will the Spider appear to be??? please show me how you got it. thank you
You need to rent a moving truck for a day you have identified two companies that rent trucks company a charges $45 per day plus $.10 per mile company BCharges $30 per day plus $.20 per mile for how many miles will be cost of renting be the same
Which statement is true about the graphed function?
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞).
Answer: A. F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
Divide. Round to the nearest tenth if necessary:
39.39 divided by 3
what is the area of the science lab table that is 60 by 48 inches in feet?
A crane cable can support a maximum load of 15,000kg. If a bucket has a mass of 2,000kg and gravel has a mass of 1,500kg for every cubic meter, how many cubic meters of gravel (g) can be safely lifted by the crane?
By what percent will a fraction change if its numerator is increased by 60% and its denominator is decreased by 20%?
Answer:
It is increased by 100%. The numerator is two times more than the denominator. That's why original fraction will become [tex]\frac{2x}{y}[/tex].
Step-by-step explanation:
We need to find the percentage, if its numerator is increases by 60% and its denominator decreases by 20%.
First, we let the original fraction: [tex]\frac{x}{y}[/tex]
We have given its numerator is increases by 60% and denominator is decreases by 20% then,
New fraction will become = [tex]\frac{1.6x}{0.8y}[/tex].
Divide the new fraction by original fraction, then we get:
[tex]\frac{1.6x}{0.8y}[/tex]/ [tex]\frac{x}{y}[/tex]
[tex]\frac{1.6x}{0.8y}[/tex]* [tex]\frac{x}{y}[/tex]
Then, it will become [tex]\frac{1.6}{0.8}[/tex].
We can see that, The numerator is two times more than the denominator. That's why original fraction will become [tex]\frac{2x}{y}[/tex].
It is increased by 100%.
If we take an example, Suppose the original fraction is [tex]\frac{5}{8}[/tex] and the new fraction will become [tex]\frac{1.6*5}{0.8*8}[/tex].
= [tex]\frac{8}{6.4}[/tex] = [tex]\frac{80}{64}[/tex]
= [tex]\frac{10}{8}[/tex], it is twice of original fraction [tex]\frac{5}{8}[/tex].
In the number 8,888.888, how does the 8 in the hundredths place compare to the 8 in the place to its left? A. The 8 in the hundredths place represents of what the 8 to its left represents. B. The 8 in the hundredths place represents of what the 8 to its left represents. C. The 8 in the hundredths place represents 100 times what the 8 to its left represents. D. The 8 in the hundredths place represents 10 times what the 8 to its left represents.
Answer: The 8 in the hundredths place represents 1/10 of the 8 to its lefts response
Step-by-step explanation:
what property was used to rewrite the polynomial expression (x+5)+3(a+(6x)y) to 5+(x+3a+(18x)y)
multiply (2.75×10−8)⋅(4.6×10−3)
The following is the correct way to begin solving for the quotient of 39.538 divided by 5.3 using the standard method:
True
or
false
Answer:
true
Step-by-step explanation:
39.538 divided by 5.3 using standard method. Which is true
A store owner has 7.11 lbs of candy if he puts the candy into 9 jars how much candy will each jar have
In general, the air temperature decreases 12 degrees Fahrenheit for every 4,000 feet increase altitude. If a hiker climbs 3,000 feet, by how much can she expect the temperature to increase?
Explain how you would find the difference of - 45 and - 60
In the seventh grade, the ratio of girls to boys is 7:5. If there are 21 girls in the seventh grade, how many boys are there?
So we are given the fraction ratio...
7 girls
---------
5 boys
if we make the fraction
21 girls
----------
x boys
equal each other, we can cross multiply and find x.
Cross multiplying means to multiply 7 times x and 21 by 5.
then we set up a little equation
7x = (21)(5) First lets solve what 21 times 5 is
7x = 105 Now we have to divide both sides by 7 to get x alone.
÷7 = ÷7 On the left side of the equation the 7 cancels and we solve on the right.
x = 15
So we know that when we have 21 girls in the 7th grade classroom we also have 15 boys.
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Explain how to simplify the fraction 12 over 36
The fraction is, 12/36 is the fraction 12 over 36.
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
here, we have,
the fraction 12 over 36
Is quite simple first find out what can go into 12 and 36
The factors that can go into 12 and 36 is 12.
12÷12=1
36÷12=3
So the final answer will be 1/3.
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The perimeter of a rectangle is 108 inches. It is twice as long as it is wide.Find the length; the width.Draw the figure.
what is the simplified form of the expression 11[(9^2-5^2) divided by 2^2+8]
224.5
242
51.3
110
Answer:
51.3
Step-by-step explanation:
In order to calculate this, you have to remember the norms for the solution of math problems with hierarchy of operations called PEMDAS:
Parentheses (simplify inside 'em)
Exponents
Multiplication and Division (from left to right)
Addition and Subtraction (from left to right)
So we first solve parentheses:
11[(9^2-5^2)= 11(81-25)=11(56)= 616.
and now we have to divide that by the result of:
2^2+8
Remember first exponents:
2^2+8= 4+8=12
ANd now we just divide:
616/12=51.3333
So the answer would be 51.3
Describe two diffrent ways to solve negative 10=1 fourth(8y-12)
A bottle contains 240 millimeters of juice. How many litters of juice is this?
one eighth of a number is less than or equal to 3
1/3(12-24v)=-2(4v-2)
Solve the equation for 15 points PLEASE HELP!!!!!!!
A rectangular patio has a length of 12 1/2 feet and an area of 103 1/8 square feet. What is the width of the patio?
Answer:
The answer is b. 8 1/4 feet.
What is :
1)9.4 divided by 47
2)2.583 divided by 9
3)33.8 divided by 26
4) 37.8 divided by 18
Brain teasers answer in the comments ( I'm bored just do it )
Answer:
since u don't need the answers imma just leave this here, thnx for the points :)
Step-by-step explanation:
write 3 equivalent forms of 0.472 using decimals and fractions?
Can anyone help me with this question?
What is 5s fact to multiply 6x8?
Multiplying 6 and 8 gives the value of 48. The question seems to mention '5s fact', which typically refers to multiplication facts of 5, but this does not directly relate to multiplying 6 and 8.
Explanation:It seems that the '5s fact' mentioned in the question doesn't directly apply to the multiplication problem provided (6x8). Rather, in the context of simple multiplication, a 'fact' typically refers to a multiplication fact, which is a statement of an equation that can be considered universally true in arithmetic. For instance, 5x1=5 or 3x2=6 are multiplication facts.
To multiply 6 and 8, regardless of any number's multiplication facts, you would simply calculate 6x8, which equals 48.
With regard to the '5s fact', if we are referring to the multiplication facts of 5, these would include equations like 5x1=5, 5x2=10, and so on. However, none of the '5s facts' directly relate to multiplying 6x8. If the question refers to some other concept that has not been clarified, please provide further details.
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