Answers
Look at the picture below. Sorry if its hard to understand.
The results for the addition operation are obtained as 84⁵/₉, 6²/₉, -23.24 and 131.87 respectively.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
The given problem can be solved as follows,
(a) 45²/₉ + 39³/₉
⇒ 45 + 2/9 + 39 + 3/9
⇒ (45 + 39) + (2/9 + 3/9) = 84⁵/₉
(b) -24⁵/₉ + 30⁷/₉
⇒ -24 - 5/9 + 30 + 7/9
⇒ (-24 + 30) + (7/9 - 5/9)
⇒ 6²/₉
(c) 28.98 + (-52.22)
⇒ 28.98 - 52.22
⇒ -23.24
(d) 56.75 + 75.12
⇒ 131.87
The given arithmetic operation can be matched in the form of table as,
Sum Result
45²/₉ + 39³/₉ 84⁵/₉
-24⁵/₉ + 30⁷/₉ 6²/₉
28.98 + (-52.22) -23.24
56.75 + 75.12 131.87
Hence, the given numbers are added to give result as 84⁵/₉, 6²/₉, -23.24 and 131.87 respectively.
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Related Questions
If a = 2 and b = 3, then the value of (a^b + b^a)-1 is :
Answers
Answer:
[tex]16[/tex]
Step-by-step explanation:
Substituting [tex]a=2[/tex] and [tex]b=3[/tex] into [tex](a^{b}+b^{a})-1[/tex] gives us:
[tex](a^{b}+b^{a})-1[/tex]
[tex]=(2^{3} +3^{2})-1[/tex] (Substitute given values into expression)
[tex]=(8+9)-1[/tex] (Evaluate exponents)
[tex]=17-1[/tex] (Evaluate expression in parentheses)
[tex]=16[/tex] (Simplify)
Hope this helps!
Answer:
16
Step-by-step explanation:
Given
([tex]a^{b}[/tex] + [tex]b^{a}[/tex] ) - 1 ← substitute a = 2, b = 3
= (2³ + 3²) - 1
= (8 + 9) - 1
= 17 - 1
= 16
Write a summary of how to get the area of a parallelogram.
Answers
Answer:
Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.
I hope it's helpful!
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These triangles are not similar. The triangles are not similar because the proportion 8/9 = 2/3 is false.
Simplify the following radicals. 1. √16 2. √17 3. √18 4. √19 5. √20
Answers
Answer:
Step-by-step explanation:
[tex]1) \sqrt{16}= \sqrt{4*4}=4\\\\\\2) \sqrt{17}[/tex]
This is the simplest form as 17 is a prime number.
[tex]3) \sqrt{18}= \sqrt{2*3*3} = 3 \sqrt{2}\\\\\\4) \sqrt{19}[/tex]
19 is a prime number. so it is the simplest form.
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A super train traveled 420 miles in 3 hours. If it maintain the same speed, how far could the train travel in 16 hours?
Answers
Answer:
We conclude that the train can travel 2240 miles in 16 hours.
Step-by-step explanation:
Given that a super train traveled 420 miles in 3 hours.
Distance covered = 420 milesTime taken = 3 hoursStep 1 of 2
Determine distance per hour
Important Tip:
The distance per hour can be determined by dividing the distance covered by the time taken.Distance per hour = Distance Covered / Time taken
= 420 / 3
= 140 miles per hour
Step 2 of 2
Determine the distance traveled in 16 hours
We already know that a super train travels 140 miles per hour. In other words, the speed of the super train is 140 miles per hour.
Important Tip:
To determine the distance covered in 16 hours, all we need to do is to multiply the distance covered per hour i.e. 140 with the total number of hours i.e. 16.Distance traveled in 16 hours = Distance per hour × 16
= 140 × 16
= 2240 miles
Conclusion:
Therefore, we conclude that the train can travel 2240 miles in 16 hours.
A graph of a system of two equations is shown. What is the solution of the system?
Answers
Answer:
x = 1
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Step-by-step explanation:
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Answers
Answer:
9.6
Step-by-step explanation:
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Answer:
102.4
Step-by-step explanation:
hope that helps beautiful ;-)
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Answer:
4.415525546*10 to the power of 15
Step-by-step explanation:
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Hope this helped :)
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Answers
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Answer:
D
Step-by-step explanation:
(54)^2 -54(4) +54(4) -(4)^2
54^2+0-4^2
54^2-4^2
D is the answer
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Answer:
NI and HN
Step-by-step explanation:
The segments are both marked with a congruency mark.
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Answers
the americans scored twice in the last period although the soviet team dominated second period, after that the americans finally took the lead
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Answers
Answer:
8.06 feet
Step-by-step explanation:
use the Pythagorean theorem
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Answer:
multiply both sides by 17
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Step-by-step explanation:
Hello im in 8th grade and I need to get my grades up so anyone know the answer to
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Answers
Answer:
x = 3
Step-by-step explanation:
12x = 36
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Answers
Answer:
slope=2x, y-intercept=-3
Step-by-step explanation:
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Can someone help me, please?
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Step-by-step explanation:
Answer:
Try using math
way to help you, I know this is a point less response but try it.
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Answers
Answer:
c > 38.5
Step-by-step explanation:
14c > 600 - 61
14c > 539
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Answer:
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Step-by-step explanation:
Answer:
x = 17
Step-by-step explanation:
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Find the sum.
(7x® + 2x5 – 3x² + 9x) + (5x + 8x? – 6x² + 2x – 5) =
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Answer:
I love Math anyways
the ans is in the picture with the steps
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Step-by-step explanation:
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Here goes the answer. Please mark brainliest.
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Answer:
10
Step-by-step explanation:
i just kno it if it's not 10 it -11 okkkkkk
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Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes ca
$5. A pack of 6 water bottles costs $3. Mr. Lincoln spends $95 for 170 juice boxes
and bottles of water.
a. Choose variables for the two unknown quantities in the problem and tell wha
each variable represents.
b. Use the variables you chose in problem 3a to write an equation for the amour
of money Mr. Lincoln spends.
c. Use the variables you chose in problem 3a to write an equation for the numbe
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d. Solve the system of equations. How many packs of juice boxes and how many
packs of water does Mr. Lincoln buy? Show your work.
SOLUTION
my
Answers
Answer:
5x + 3y = 95
8x + 6y = 170
x = 10 ; y = 15
Step-by-step explanation:
Let :
x = pack of juice boxes
y = pack of water bottles
Pack of juice box = $5
Pack of water bottles = $3
Amount of money spent :
5x + 3y = $95
Number of drinks purchased :
8x + 6y = 170
Using both equations ;
5x + 3y = 95 - - - (1)
8x + 6y = 170 - - - (2)
Multiply (1) by 6 and (2) by 3
30x + 18y = 570
24x + 18y = 510
Subtract :
6x = 60
x = 60 / 6
x = 10
Put x = 10 in (1)
5(10) + 3y = 95
50 + 3y = 95
3y = 95 - 50
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y = 45 / 3
y = 15
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sally purchased 24 pencils 1/8 of the pencils are blue 1/6 of the pencils are red how many pencils are either red or blue
A. 17
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D.4
Answers
Answer:
4
Step-by-step explanation:
Because the common multiple of 6 and 8 is 24 which is the amount of pencils.
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Jamal throws a bean bag into the air. This graph shows the height of the bean bag, h, in feet after t seconds.
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What is the meaning of the t-intercept?
The bean bag is released when t equals zero.
The bean bag is thrown from a height of 5 feet.
The bean bag hits the ground after 1.7 seconds.
The bean bag has a speed of 1.7 feet per second when it lands.
Answers
Answer:
Step-by-step explanation:
