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Agata [3.3K]
2 years ago
15

Add or subtract the following mixed numbers using the first method. (Add the whole numbers; add the fractions; combine the parts

of the sum for the answer.) Be sure your answers are in mixed number format and reduced to lowest terms.
2 2/3 +4 1/8 =
Mathematics
1 answer:
Salsk061 [2.6K]2 years ago
3 0

6 19/24

Step-by-step explanation:

  1. Find the LCM(lowest common multiple) of 3 and 8 which is 24
  2. Multiply the denominator of 2/3 by 8 and 1/8 by 3
  3. Whatever you do to the denominator you have to do to the numerator, so you also have to multiply the numerator of 2/3 by 8 and 1/8 by 3 = 2 16/24 + 4 3/24
  4. Add the whole numbers (4+2= 6)
  5. Add the fractions (16/24 + 3/24= 19)
  6. Put them together and the answer is 6 19/24

I can't really explain things properly, but I hope it helps

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In the diagram, BC¯¯¯¯¯∥DE¯¯¯¯¯ .<br><br> What is AE ?
emmainna [20.7K]
So there are two triangles here: Smaller one (ADE) and bigger one (ABC) and they both are similar.

So you can use proportions here.

AB / AC = AD / AE

AB = AD + DB = 6 + 1 = 7
AC = AE + 3

AD = 6

So plug in these values:

AB / AC = AD / AE becomes
7 / (AE + 3) = 6 / AE

Now do the cross multiply:

7 AE = 6 (AE + 3)

Now solve for AE:

7AE = 6AE + 18

AE = 18
6 0
2 years ago
Find the surface area of the following triangular prism. surface area=_________ ft²
Scorpion4ik [409]
  • Answer:

<em>312 ft²</em>

  • Step-by-step explanation:

<em>3 rectangles </em>

<em>2 triangles</em>

<em>4 yd = 12 ft</em>

<em>A = 4ft×12ft + 8ft×12ft + 10ft×12ft + 2×6ft×8ft/2</em>

<em>= 48ft² + 96ft² + 120ft² + 48ft²</em>

<em>= 312 ft²</em>

3 0
3 years ago
8 (6× + 5) + 2× equivalent
Licemer1 [7]
8(6x + 5) + 2x
8(6x) + 8(5) + 2x
48x + 40 + 2x
50x + 40
5 0
3 years ago
Find the mean absolute deviation for the data set.<br> 5,6,6,8,10
alukav5142 [94]

Answer: 1.6

<u>Order the numbers</u>

5,6,6,8,10

<u>Add</u>

5+6+6+8+10=35

<u>Divide</u>

35÷5=7

Mean: 7

Sum divided by the count.

Final Answer: 1.6

6 0
3 years ago
Read 2 more answers
If an 8-foot ladder is leaned against a wall with its foot braced 4 feet from the wall's base, how far up the wall will the top
vivado [14]
We know that
see the picture to better understand the problem
in the right triangle ABC
Applying the Pythagoras Theorem
AB²=BC²+AC²-------> BC²=AB²-AC²
AB=8 ft
AC=4 ft
BC²=8²-4²-----> BC²=48--------> BC=√48-------> BC=6.93 ft

the answer is
6.93 ft

8 0
3 years ago
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