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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Make a, the subject of 3a-b=a+7
Answer:
a = (b+7)/2
Step-by-step explanation:
3a - b = a + 7
2a - b = 7
2a = b + 7
a = b+7/2
4/5 cm * 3/8 cm
please answer fast
Answer:
= 3/10 cm or you can put 0.3 cm
CANNNNN ANYONE FIGURE TJIS OUTTT
Answer:
6.7
Step-by-step explanation:
Since both the figures are similar, so their corresponding sides would be in proportion.
Therefore,
[tex] \frac{a}{12} = \frac{5}{9} \\ \\ a = \frac{60}{9} \\ \\ a = 6.7 \: [/tex]
Which of the following best describes the relationship between the number of miles a person runs and the number of calories he/she burns?
A. neither correlation nor causation
B. correlation and causation
C. correlation without causation
D. causation without correlation
what is 82.68 ÷ 1,000?
Hello, I am BrotherEye
Answer:. 0.08268
Step-by-step explanation:
However many zeros there is you push that down so if it was 20.40 divided by 100 there is two zeros in 100 so the answer would be .2040
What is the volume of the rectangular prism?
1 cm
6 cm
6 cm
Answer:
V=36
Step-by-step explanation:
b) 0.069 + 0.84 can u guys plzz help me it math subject and the lesson name is decimal help
0.909
Add together 69 and 840 (0.84 has less to the right) and put it behind a decimal.
Answer:
0.909
Step-by-step explanation:
Because there are decimals
0.069+
0.84
=0.909
Hope this helps you
ASAP PLASE HELP AND SHOW WORK
Each choice below describes the lengths of the sides of a triangle. Select all the triangles that must be right triangles.
Triangle a- √3,√4,√5
Triangle b- 3,4,5
triangle c- 2,4,6
Triangle d- √2,√4√6
Answer:
triangle b and triangle d
Step-by-step explanation:
3^2+4^2=5^2
2+4=6
Answer:
Triangle b- 3,4,5
5²=3²+4²
Triangle d- √2,√4√6
(√6)²=(√2)²+(√4)²
The base of an isosceles triangle is 24cm and its area is 192 sq.cm . Find its perimeter
Answer:AB = AC since the given triangle is isosceles. Area = 192 sq.cm. = 64 cm. Hence the perimeter of triangle is 64 cm.
Step-by-step explanation:
Enzo is buying wallpaper. He can choose one colour, one texture and one thickness for his wallpaper. At his local DIY store, Enzo can choose from 27 different colours 14 different textures. The total number of options available to enzo for his wallpaper is 2268. Work out the number of different wallpaper thicknesses that enzo can choose from.
Answer:
6 different wallpapers
Step-by-step explanation:
Given
[tex]Colours = 27[/tex]
[tex]Textures = 14[/tex]
[tex]Total = 2268[/tex]
Required
Determine the number of different wallpapers he can choose from
From the question, he can choose 1 from 27 colors;
The number of ways is:
[tex]Colours = ^{27}C_1 = \frac{27!}{(27 - 1)!*1!} = \frac{27!}{26!*1!} = = \frac{27*26!}{26!*1} = 27[/tex]
From the question, he can choose 1 from 14 textures;
The number of ways is:
[tex]Textures = ^{14}C_1 = \frac{14!}{(14 - 1)!*1!} = \frac{14!}{13!*1!} = \frac{14*13!}{13!*1} = 14[/tex]
Assume the total number of wallpapers is x and he can only select 1.
The number of ways of selection is:
[tex]Wallpapers = ^{x}C_1 = \frac{x!}{(x - 1)!*1!} = \frac{x* (x - 1)!}{(x - 1)!*1!} = x[/tex]
So, the total selection is:
[tex]Colours * Textures * Wallpapers = Total[/tex]
[tex]27 * 14* x= 2268[/tex]
[tex]378* x= 2268[/tex]
Divide both sides by 378
[tex]\frac{378* x}{378}= \frac{2268}{378}[/tex]
[tex]x= \frac{2268}{378}[/tex]
[tex]x= 6[/tex]
Hence, the number of different wallpaper is 6
What is the slope that passes through the points(-2,4) and (3,8). m=
Please Mark as brainlist ..........
Arianna has $0.90 worth of nickels and dimes. She has 4 times as many nickels as
dimes. By following the steps below, determine the number of nickels, x, and the
number of dimes, y, that Arianna has.
Answer:
X=3
Step-by-step explanation:
0.05(4x) + 0.1x = 0.90
0.2x + 0.1x = 0.90
0.3x = 0.90
x = 3
(Find the commission.)
Earning Commission
Sales CommisionRate Commission $640 4% ?
The commission is $ ?
Answer:
25.6
Step-by-step explanation:
640*4%
Answer:
the commsion is $25.60
Step-by-step explanation:
commission amount = sale price * commission percentage / 100.
Next time, the rabbit from the previous problem start at 10 where on the number line can he be after the same three jumps?
Previous problem : A rabbit started at point 0 and made 3 jumps: a jump of 4 units, then a jump of 2 units, and then a jump of 1 unit. We do not know the direction of either jump. What are all the possible numbers can this rabbit be now?
It should be noted that since the rabbit from the previous problem started at 10, it would be at 17 units on the number line after the same three jumps.
What is a number line?A number line is a type of graph with a graduated straight line which comprises both positive and negative numerical values. From the previous problem, the total distance covered by the rabbit is given by:
Total distance = 4 units + 2 units + 1 unit
Total distance = 7 units.
Since the second point is at 10 units and the open circle arrow points to the right of the number line, the rabbit would cover 7 more distance from this point:
Total distance = 10 units + 7 units
Total distance = 17 units.
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Alto and Brian both ordered the same size pizzas and Marco's Pizza;
however, they ordered different toppings. Marco's charges an additional
fee for toppings, but all toppings cost the same. Alto got pepperoni,
banana peppers, and black olives on his pizza for a cost of $15.74. Brian
order mushrooms and eggplant of his pizza and paid $14.49. Using this
information, write an equation for the cost of a pizza, C, as a function of
the toppings, t, ordered. *Hint: slope intercept form and you will need the
slope formula
Answer:
Cost of pizza = 1.25x + 11.99
Step-by-step explanation:
Since Toppings cost the same and the pizza orders are of same size :
Alto ordered for 3 Toppings + pizza = 15.74
Brian ordered for 2 toppings + pizza = 14.49
Hence the cost per topping and pizza could be found :
Cost per topping :
15.74 - 14.49 = 1.25
Hence, slope = 1.25
The intercept, c represents the cost of pizza alone :
Cost of pizza + 2 Toppings = 14.49
Cost per topping = 1.25
Cost of pizza = 14.49 - 2(1.25)
Cost of pizza = 14.49 - 2.50 = 11.99
Expressing in slope - intercept form :
y = mx + c
m = slope ; c = intercept
Cost of pizza = 1.25x + 11.99
A plant currently measures 5.5 inches tall and will grow at a rate of 1 inch per week. Andrew wants to graph this information for his Science Fair project. If x represents the number of weeks and y represents the height of the plant, which choice below correctly describes the y-intercept in this relationship?
(5.5, 0)
(0,1)
(0, 5.5)
(1, 5.5)
Answer:
0, 5.5
Step-by-step explanation:
when they ask for a y-intercept, x is always zero, so now we eliminate two of the answers, and we will only have (0, 1) or (0, 5.5). At the beginning of the question it said a plant is currently at 5.5, so it started as 5.5 (0, 5.5)
so THE ANSWER IS (0, 5.5)
PLZ MARK ME AS BRAINLIEST.
2/x + 5/3 = 7/2, trynna solve for x
Answer:
x= 12/11
Step-by-step explanation:
sum of 34908 and 12765?
Answer:
47,673
Step-by-step explanation:
Answer: 47,673
Step-by-step explanation:
Select all of the attributes of the right rectangular prism.
Answer:
Opposite faces are parallel
There are 6 faces
All faces meet at 90 degrees.
Step-by-step explanation:
I think
If y varies directly with x, and y is 3 when x is 9, find x when y is 12.
Answer:
x=4
Step-by-step explanation:
Answer:
9/3=3
12/3=4
step-by-step explanation:
I think it's four but sorry if its not
Which expression is equivalent to 4(2x +3)?
a.4 + 2x + 4 +3
8x + 12
c.8x + 3
d.
4 + 2x + 12
Answer:
c 8x+3 all you do is multiply 4 and 2 to get 8 and add an x
PLEASE ANSWER THIS QUICKLY WITH PLOT POINTS!! ILL GIVE BRAINLIEST!
y=-8 y=-2-12
Answer:
For the first one your first point is going to be on (0, -8) and will be a continuous horizontal line.
For the second equation the first point will be on (0, -12)
you want to go down two points and go to the right once point so (1, -14), (2,-16), (3,-18)
you also want to go up two points and to the left once so (-1, -10), (-2, -8), (-3, -6) and so on
is y=6x+3 proportional or nonproportional
Answer:
f the x and y coordinates form proportional relationships, then there is some non-changing number (a constant) that when multiplied times x will create y
Step-by-step explanation:
Could someone help me with this!!!
Answer:
imports
Step-by-step explanation:
Answer:
exports
Step-by-step explanation:
send (goods or services) to another country for sale.
what is the number sentence
Answer:
A number sentence is a mathematical sentence made up of numbers and signs. So for example 15 + 7.
They can use any of the mathematical operations so addition, subtraction, multiplication and division
Number sentences can be true or false. Example, 5 + 7 = 13
good luck, i hope this helps :)
BRAINLIEST! A box contains 84 chocolates, of which 63 are dark chocolates. The rest are milk chocolates. What is the ratio of milk chocolates to the total number of chocolates in the box?
Answer:
1:4
Step-by-step explanation:
84-63=21
there are 21 milk chocolates in the box
ratio of milk chocolates to total number of chocolates=21:84
simplify that=1:4
56 + (-56)
Find each sum
Answer:It equals 0.
Step-by-step explanation:
Because the 56 in parenthesis is a negative so when you add it equals nothing.
Which equation illustrates dividing out a common factor as the first step to solve the equation 2 x + 4 = 6 x + 2 ? A. 2 ( x + 2 ) = 2 ( 3 x + 1 ) B. 2 x 2 + 2 2 = 6 x 2 + 2 2 C. 2 x 2 + 4 = 6 x 2 + 2 D. 2 x + 4 2 = 6 x + 2 2
Answer:
Step-by-step explanation:
2x + 4 = 6x + 2
Bringing like terms on one side
4 - 2 = 6x - 4x
2 = 2x
2/2 = x
1 = x
Pls send quotes about no giving up
What is the sum of the exterior angles of this octagon?
Answer: D: 360°
An octagon is supposed to have a total of 360°, each side being equivalent to 45°. In conclusion, the exterior angle of this octagon is equivalent to 360°