Answer:
-81/3+32/5
-81×5+32×3/15
-243+96/15
-147/15
-49/5 Ans
To answer your question ("do you multiply the whole number too?"): Yes, you have to multiply the whole number as well. You can't just separate 1/3 from -8 and multiply it with 2/5, because the whole number is part of the mixed #. Whenever you multiply, add, divide, subtract, or do anything to two mixed numbers, you must include the whole term.
- - - - - - - - - -
Now your question is addition. Like I said, when you add them together, the whole number and the fractions count as one term.
So basically, -8 1/3 + 3 2/5...
- - - - - - - - - -
1) Find the LCM (least common multiple) of the denominators
The LCM of 3 and 5 is 15. To get from 3 to 15, you have to multiply 3 by 5. Now multiply the numbers of the fraction part only by 5.
1/3 --> 5/15 (as you can see, 1x5 = 5, 3x5 = 15)
Now for 2/5: To get from 5 to 15, multiply 5 by 3. Do the same thing to the numbers in the fraction
2/5 --> 6/15 (2x3 = 6, 5x3 = 15)
***TO CLARIFY, DO NOT MULTIPLY THE WHOLE TERM BY THE NUMBER***
Right: 2x3 = 6, 5x3 = 15, 6/15
Wrong: 2/5 x 5 = 2
- - - - - - - - - -
2) So now that we found a common denominator, change the two terms to -8 5/15 + 3 6/15 (because we had to find the LCM to make life a lot easier)
- - - - - - - - - -
3) We just add them together. Even though they are a term together, you can split them apart and add them together separately thanks to the commutative property of addition*.
Time to split it apart to make life a whole lot easier. -8 5/15 can be split apart into the two terms -8 and 5/15. For 3 6/15, it can be split into 3 and 5/15.
Two options from here on:
Set up a single equation: Put all the terms into one equation. -8 + 3 + 5/15 + 6/15. Solve by adding all the terms together in whichever order you prefer (again, thanks to the commutative property of addition)
It would result in the answer -4 4/15
Or...
Set up two separate equations: Set up an equation for whole numbers, and another one for fractions.
Equation 1: -8 + 3 = -5
Equation 2: 5/15 + 6/15 = 11/15
(6 + 5 = 11)
And we add the sums together. -5 + 11/15 = -4 4/15
And that's it!
- - - - - - - - - -
*Commutative Property of Addition: The sum of the numbers will NOT change even if you change the order of the addends
Was an hour late, but I hope this still helped you! If there are any questions, just comment below this
. please help me! and provide a CLEAR step by step explanation! tysm!
Answer:
268.08
Step-by-step explanation:
the formula for the volume of a sphere is v=(4/3)×3×r^3. so fill in the blanks to look like (4/3)×3×4^3. the 8 is the diameter but we need the radius, which is half the diameter, so that is where the 4 comes from.
Answer:
V=4
3πr3
r Radius
Step-by-step explanation:
The first three terms of an arithmetic sequence are as follows.
Answer:
16,18,20,22,24
Step-by-step explanation:
It is going up in multiples of 2 so you add 2 to 20 then onto 22
Pls help me someone if you can
Answer:
Neither
Step-by-step explanation:
They're both the same shade because they have the same ratio
help please quickly help
Answer:
-7/3 C
-2 5/8 B
-2.9 is A
please help with this.
Evaluate the algebraic expression j + 2h when f = 6,g = 8,h = 12,j = 2 .
A. 14
B. 18
C. 26
D. 30
Answer:
it is 26
Step-by-step explanation:
The graph below shows the numbers of orders received by a company for five months.
Answer:
(a) 1950 orders
(b) November to December
Step-by-step explanation:
(a)
The point of the graph lies in the middle of 1900 and 2000, the difference is 100.
So half of 100= (100/2)
=50
Ans- 1900+50=1950
(b)
The question asked you to find when did the numbers of orders have the greatest decrease?
Decrease, in simple terms, is getting low.
So, if you see that the point from the month of NOVEMBER to DECEMBER was the time when the orders decreased the most.
Ans- November to December
Thank you for reading, hope it helped ^_^
please help me out thank you so much, you will get brainly
Answer:
no
no
no
no
any two sides have to add up to be greater than the third side 8+5.1 is 13.1 which is less than 13.7 and that applies to all the other lengths as well.Hope this helps:)
someone explain why this is not 164
Answer:
solve 80^2 to get 6400
solve 84^2 to get 7056
add 6400 and 7056 to get 13456
square root 13456 to get 116
Step-by-step explanation:
Answer:
Step-by-step explanation:
80^2=80*80=6400
same with 84 84*84=7056
7056+6400=13456
√13456=116
Please Help !ASAP!
what is the equation for the line of symmetry in this figure?
y = 0
y = 2
x = 2
x = 0
Answer:
x = 0
Step-by-step explanation:
its symmetrical from side to side not up and down
Difference between equilateral isosceles and scalene triangle
Answer:
the difference is that a scalene triangle has no congruent sides, isosceles triangles have 2 congruent sides, and equilateral triangles have 3 congruent sides.
Answer:
See below ~
Step-by-step explanation:
Equilateral
This type of triangle is characterized by equal length of sidesEach of its angle measures are 60°Isoceles
This type of triangle has two equal sidesThe angles opposing these sides are also equalScalene
This type of triangle has no equal sidesTherefore, its angles are also not equalJasmine unfolded a cardboard box. The figure of the unfolded box is shown below:
A long rectangle divided along the length into 4 equal squares is shown. Along the upper edge length of the second square is shown another square, and along the lower edge length of the fourth square is shown another square. The first square from the left has two adjacent sides labeled as 2 inches each.
Which expression can be used to calculate the area of cardboard, in square inches, that was used to make the box?
2 x 6 x 6
6 x 1 x 1
6 x 2 x 2
1 x 6 x 6
Answer: 6 x 1x 1
Step-by-step explanation:
Because each box is 1 x 1 and there are six boxes..?
A large bag of individual candy packs is opened. The amount of candy is counted and marked on the dot plot below. Which of the statements is not represented by the data?
Answer:
The answer is D
Step-by-step explanation:
How do i Solve this?
Answer:
A=54.45
Step-by-step explanation:
You want to solve for the area in 2 parts. First I solved for the rectangle.
Area of a rectangle: A=lw
This means 9×3=27
Then I solved for the area of the triangle.
Area of a triangle: 1/2bh
This means 1/2(9×6.1)⇒1/2(54.9)=27.45
Then you add the area of the triangle and the areo of the rectangle together:
27.45+27=54.45
I hope this helps! :D
Rectangle QUAD has coordinates Q(,), U(,), A(,), and D(,). Q'U'A'D' is the image of QUAD after a dilation with center (0,0) and scale factor . What are the coordinates of point '?
The horses name was friday
Can anyone solve this?
Answer:
its 96m^2
Step-by-step explanation:
the foumula for a triangel is 1/2*b*h so 24x8=192 and 192/2= 96m^2
Mr. Ledger buys a box of 24 donuts for a lesson in his math class about circumference.
Write an equation for the number of donuts y that are left at the end of the day when x donuts are used during the lesson.
Last year, Mr. Ledger used 18 donuts during the lesson. This year, he used 22 donuts.
Place points on the graph to show how many donuts are left at the end of last year's lesson and this year's lesson.
Answer:
24 - x = y
Step-by-step explanation:
one point goes on 22 while another goes on 24
Find the circumference of the circle. Round your answer to two decimal places, if necessary.
Answer:
25.12 ft
Step-by-step explanation:
C = 2(pi)(r)
r = d/2 = 8/2 = 4
C = 8 * pi = 8 *3.14 = 25.12
An ice sculpture is melting at a constant rate. Its weight changed -1 4/5 pounds every hour.
What is the total weught of the sculpture after 3 1/2 hours?
Answer:
6.3
Step-by-step explanation:
-1 4/5 x 3 1/2 =-6.3
Can anyone solve this?
The area of the square
= 5 * 5
= 25 sq. in
The area of each triangle
= 7 * 5 / 2
= 17.5 sq. in
The total surface area of the square pyramid
= (25 + 17.5*4) sq. in
= 95 sq. in
Luke’s dinner at the Denny’s costs $23.50. He leaves the waiter 18% tip. How much did his dinner cost him in total?
Answer:$27.73
Step-by-step explanation:
You do 23.50*18%=4.23 then you add 23.50+4.23=$27.73
$27.73
hope it helps...!!!
In which situation is it BETTER to use a debit card instead of a credit card? A) Jackson does not balance his checking account daily. B) Jena is buying art supplies online for her drawing class. C) Charlie is on a tight budget; so, he can only buy necessary items. D) Jane needs to build up her credit score so that she can purchase a car.
Answer: c
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
sry if I'm wrong, I think it is A though
please helppppppppp..
Find the circumference of the circle. Round your answer to two decimal places, if necessary.
Answer:
12.57 (2 d.p.)
Step-by-step explanation:
Formula to find circumference is [tex]C=2\pi r[/tex], where r is the radiusPut in the valuesThis gives [tex]C=2\pi \times 2 = 4\pi = 12.57[/tex]In a class of 24 students, 7 students have 2 brothers or sisters. 4 students have 1 brother or sister. 3 students do not have any brothers or sisters. 6 students have 3 brothers or sisters. The remaining students have 4 brothers or sisters.
Samedy says that the total number of brothers and sisters that the class has is 24, because there will be 24 dots above the number line on the line plot. Use the drop-down menus to complete the statement below.
Is Samedy's statement true or false?
In total, the class has _____ brothers and sisters?
Answer:
Samdy's statement is FALSE, total number of brothers and sisters is 52
Step-by-step explanation:
To organize our information we should draw a table, where group the students by how many siblings they have, and then calculate the total number of siblings.
PLS QUICK!!!
The figure shown is composed of 4 identical cubes.
Find the surface area.
Answer:
256 in2
Step-by-step explanation:
Brainliest
83525 divided by 13 20pts
Answer:
6,425
Hoped this helped
Answer:
6425
Step-by-step explanation:
Please help needed its due soon
424.12inches squared
Step-by-step explanation:
Formula= pie X radius squared X height
3.14 times 9 times 15
Brainliest, thanks in advance! Appreciate you, just please explain how you got your answer though!
What number would you divide by in order to simplify the following fraction to its simplest form?
8/20
Answer: You would divide the fraction by 4/4.
Step-by-step explanation: First, you would assemble the fraction correctly, and then you would put 4/4 next to 8/20 and divide like
8/20 divided by 4/4. you would divide regularly and you would get the answer 2/5. You would use the number 4 because 4 is the GCF of 8 and 20. 4/4 is equal to one and any number divided by one is the same number.
Answer:
4
Step-by-step explanation:
8/20
8/4=2
20/2=5
2/5 In simplest Form
7 Points: What is the volume of this triangular pyramid?
_____ cubic millimeters
Answer:
so the answer would be 6 cubic millimeters
Step-by-step explanation:
so the first thing you would do is multiply 3 and 4 and divide by 2 which is 6 and then you would multiply the other 3 and get 18 and divide 18 by 3 which is 6
Please rate and mark as brainliest