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2 years ago

Add. Write your answer in simplest form.

Mathematics

2 answers:

Marianna [84]2 years ago

5 0

Answer:

26 over 3 =2

------ = 8.667

Convert mixed number to improper fraction

5 and 3 over 45

= ( 5 × 4 ) over 4

5 × 4

+ 3 over 4

= ( 20 + 3 ) over 4

20 + 3

= 23 over 4

Step 1 of 2: Add, sub-step b: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

2 and 11 over 122

= ( 2 × 12 ) over 12

2 × 12

+ 11 over 12

= ( 24 + 11 ) over 12

24 + 11

= 35 over 12

Step 1 of 2: Add, sub-step c: Find common denominator.

Find common denominator

23 over 4

+ 35 over 12

= ( 23 × 3 ) over ( 4 × 3 )

23 × 3

4 × 3

+ ( 35 × 1 ) over ( 12 × 1 )

35 × 1

12 × 1

= 69 over 12

+ 35 over 12

12 is the least common multiple of denominators 4 and 12. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Add, sub-step d: Add.

Add

69 over 12

+ 35 over 12

= ( 69 + 35 ) over 12

69 + 35

= 104 over 12

104

Stella [2.4K]2 years ago

4 0

Answer :D

8 $\frac{2}{3}$ (8 2/3)

Question explanation:

5 $\frac{3}{4}$ + 2 $\frac{11}{12}$ = $\frac{26}{3}$ = 8 $\frac{2}{3}$

(5 3/4) + (2 11/12) = (26/3) = (8 2/3)

(5 + 2) + ( $\frac{3}{4}$ + $\frac{11}{12}$ )

(5 + 2) + (3/4 + 11/12)

7 + 3 x 3 + $\frac{11}{12}$

(4 x 3) (11/12)

7 + $\frac{9}{12}$ + $\frac{11}{12}$

(9/12) + (11/12)

7 + 9 + 11

(12)

7 + $\frac{20}{12}$

(7 + 20/12)

7 + (20 ÷ 4)

(12 ÷ 4)

7 + $\frac{5}{3}$

(5/3)

7 + 1 $\frac{2}{3}$

( 1 2/3)

= 8 $\frac{2}{3}$

(8 2/3)

<h2>Simplify:</h2>

8 $\frac{2}{3}$ = $\frac{26}{3}$ = 8 $\frac{2}{3}$

(8 2/3) (26/3) (8 2/3)

I hope this finds you well - Answered by Lilo

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The square root of the quantity 4 x minus 3 end quantity equals 5.

zavuch27 [327]

Answer:

The statement is false.

Step-by-step explanation:

Given,

$\sqrt{4 \times - 3} = 5$

To Prove

Soln:

$\sqrt{4 \times - 3}$

= $2i \sqrt{3}$

=> $2i \sqrt{3} ≠5$

Hence, 2i√3 is not equal (≠) to 5.

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2 years ago

Find the surface area of the pyramid. 64in^2 56in^2 88in^2 118in^2

ziro4ka [17]

Answer:

To find the surface area of this pyramid, we must find the area of one triangle flap which we then multiply by 4 because there are 4 of those equal triangle flaps surrounding the base(square). Once we find the area of those triangles, we then find the base(square)'s area. Next, we add all those areas together to get the result of the surface area.

Formula for area of triangle;

A = BH x 1/2

Where 'B' represents the base, 'H' represents the height, and 1/2 is just dividing the product of those two lengths by 2.

Plug in what you know, given that the base of one triangle is 4, and the height is 6.

A = 4(6) x 1/2

A = 24 x 1/2

A = 24/2

A = 12, the area of one triangle is 12 inches.

Now, we find the area of all the triangles by multiplying the area of one triangle by 4.

12 = Area of triangle

4 triangles in total, so:

12(4)

= 48 inches is the area of all the triangles.

Now we find the area of the base(square) using the formula;

(vol of square formula)
A = $s^{2}$

Where 's' represents one side of the square which is being squared.

A = l · w

Where 'l' represents the length and 'w' represents the width.

Plug in what you know, given that one side of the square is 4 inches (as well as the length and width).

(I'll be using the formula $s^{2}$ )

A = $s^{2}$

A = 4^2 ← (The symbol ' ^ ' means raised to the power of.)

A = 16, the area of the base(square) is 16 inches.

Now we add both areas together:-

48 + 16

= 64 inches^2 is the surface area, your answer is A.

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2 years ago

Which fraction has the same value as 2 3 8

Alik [6]

Answer:

The Answer : 19/8 Not sure if I'm correct

7 0

3 years ago

If 2k, 5k-1 and 6k+2 are the first 3 terms of an arithmetic sequence, find k and the 8th term

Klio2033 [76]

Answer:

see explanation

Step-by-step explanation:

The common difference d of an arithmetic sequence is

d = $a_{2}$ - $a_{1}$ = $a_{3}$ - $a_{2}$

Substitute in values and solve for k, that is

5k - 1 - 2k = 6k + 2 - (5k - 1)

3k - 1 = 6k + 2 - 5k + 1

3k - 1 = k + 3 ( subtract k from both sides )

2k - 1 = 3 ( add 1 to both sides )

2k = 4 ⇒ k = 2

--------------------------------------------------------

The n th term of an arithmetic sequence is

$a_{n}$ = $a_{1}$ + (n - 1)d

$a_{1}$ = 2k = 2 × 2 = 4 and

d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5

Hence

$a_{8}$ = 4 + (7 × 5) = 4 + 35 = 39

4 0

3 years ago

Question 5 Find the sum of the following geometric series. 8+1.6+0.32+0.064 + ...

boyakko [2]

good morning,

Answer:

10×(1-0.2ⁿ)

Step-by-step explanation:

1.6/8=0.2

0.32/1.6=0.2

0.064/0.32=0.2

let S represent the sum of n term then S=8×[(1-0.2ⁿ)/(1-0.2)] = 10×(1-0.2ⁿ).

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3 years ago