What is 4 3/4 + 7/8 showing all work

Answers

Answer 1

Answer: $4 (3)/(4) + (7)/(8)$

Convert mixed numbers to improper fractions

$= (19)/(4) + (7)/(8)$

Find de LCD for 4 and 8 :

Factor each denominator into its primes:

$4 = 2^2$

$8 = 2^3$

Find the least common denominator $2^3 = 8$

Adjust fractions based on the LCD :

$(19*2)/(8) + (7)/(8)$

Since the denominators are equal , combine the fractions:

$(2*19+7)/(8)$

$(38+7)/(8)$

$= (45)/(8)$

Therefore:

Convert improper fractions to mixed numbers

$= 5 (5)/(8)$

hope this helps!

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Ken paid $12 for two magazines.the cost of each magazine was a multiple of $3. What are the possible prices of the magazine

Answers

The magazine prices can be ( 3 $, 9 $ ) , ( 6 $, 6 $ ) and ( 9 $, 3 $ )

Step-by-step explanation:

Ken paid $12 for two magazines.the cost of each magazine was a multiple of $3.

The multiples of 3 less than 12 are 3,6 and 9.

Let the price of magazine 1 be 3 $

Price of magazine 2 = 12 - 3 = 9$

Let the price of magazine 1 be 6 $

Price of magazine 2 = 12 - 6 = 6$

Let the price of magazine 1 be 9 $

Price of magazine 2 = 12 - 9 = 3$

So the magazine prices can be ( 3 $, 9 $ ) , ( 6 $, 6 $ ) and ( 9 $, 3 $ )

WORK:
$12 ÷ 2 = $6
ANSWER:
$6, $3

Factor (3x+2)(3x^2-6x+4)

Answers

Answer:

(3x+2)(3x-2)(x-2)

Step-by-step explanation:

1. you do trinomial factoring for the second factor (the one with three terms)

2. you put a 3x in one parentheses and an x in the other and find all the numbers that make positive 4.

3. Now foil (first,outside,inside,last) and see which ones match the factor above

4. You should be left with three factors at the end.

What is 18+6x=41+4x,x

Answers

Answer:

x=11.5

Step-by-step explanation:

18+6x=41+4x

Subtract 4x from each side

18+6x-4x=41+4x-4x

18+2x = 41

Subtract 18 from each side

18-18 +2x = 41-18

2x =23

2x/2 = 23/2

x =11.5

14.14.14.14 exponent

Answers

The answer is 14⁴ because you have to count how many are there

14^4 is the exponent to 14x14x14x14

I feel so stupid, how do you change a fraction into a mix number???

Answers

Answer:

Divide the numerator by the denominator. Your answer would be the whole number, and the remainder would be your fraction.

I have also clipped a picture from fractionfun.com to make it more clear.

What are the slope, m, and y-intercept, (0, b), of the line described bythe equation 3x + 6y=12?
Write an
anation in
I have no idea how to do this I need help

Answers

Answer:

$\large \boxed{m = -(1)/(2);\text{ y-intercept = 2}}}$

Step-by-step explanation:

The slope-intercept form of an equation is

y = mx + b, where

m = the slope and

b = the y-intercept

We must solve your equation for y.

It will then be in the slope-intercept form.

$\begin{array}{rcll}3x + 6y & = & 12 & \n6y & = & 12 - 3x & \text{Subtracted 3x from each side}\ny&= &2 -(1)/(2)x& \text{Divided each side by 3}\n\mathbf{y} &= & \mathbf{-(1)/(2)x + 2}& \text{Rearranged terms}\n\end{array}\n\n\large \boxed{\mathbf{m = -(1)/(2);\textbf{y-intercept = 2}}}$

The diagram below shows the equation of your graph with m = -½ and the y-intercept at (0, 2)

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