How do I set up the equation for this word problem? A takes 1/2 of the diamonds plus 1 from the table. B takes 2/3 of what remains. C takes 2/3 of what remains plus 1. One diamond is left. How many diamonds had originally been on the table? Answer is 38 but I don't know how to set it up.

Answers

Answer 1

Answer:
The first thief takes (1/2 x + 1) . What remains ? x - (1/2x + 1)

So the 2nd thief takes 2/3 of [ x - (1/2x + 1) ]

What remains ? x - 2/3 [ x - (1/2x + 1) ]

So the 3rd thief takes 2/3 of { x - 2/3 [ x - (1/2x + 1) ] } and he takes 1 more .

What remains ? x - ( 2/3 { x - 2/3 [ x - (1/2x + 1) ] } + 1 )

And that whole ugly thing is equal to ' 1 ', so you can solve it for 'x'..

The whole problem from here on is an exercise in simplifying
an expression with a bunch of 'nested' parentheses in it.
===============================================
This is a lot harder than just solving the problem with logic and
waving your hands in the air. Here's how you would do that:

Start from the end and work backwards:

-- One diamond is left.
-- Before the 3rd thief took 1 more, there were 2.
-- That was 1/3 of what was there before the 3rd man took 2/3.
So he found 6 when he arrived.
-- 6 was 1/3 of what was there before the second thief helped himself.
So there were 18 when the 2nd man arrived.
-- 18 was 1 less than what was there before the first thief took 1 extra.
So he took his 1 extra from 19.
-- 19 was the remaining after the first man took 1/2 of all on the table.
So there were 38 on the table when he arrived.

Thank you for your generous 5 points.

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Help me with my pre algebra hw

Answers

0.4 (2x + 1/2) = 3 [0.2x+(-2)] - 4
0.4 (2x + 1/2) = 3(0.2x-2) - 4

Then, you have to use the distributive property.
0.8x + 0.2 = 0.6x - 6 - 4
0.8x + 0.2 = 0.6x - 10
0.8x - 0.6x + 0.2 = -10
0.2x + 0.2 = -10
0.2x = -0.2 - 10
0.2x = -10.2
x = -10.2/0.2
x = -51

Does that make sense?

We just distribute the numbers out inside the parenthesis:

0.4(2x + $(1)/(2)$ ) = 3[0.2x + (-2)] - 4
(0.4 × 2x) + (0.4 × $(1)/(2)$ ) = (3 × 0.2x) + (3 × -2) - 4
0.8x + 0.2 = 0.6x - 6 - 4

Join the like terms:

0.8x + 0.2 = 0.6x - 10

0.8x - 0.6x = -10 - 0.2
0.2x = -10.2

Divide by 0.2 to isolate x

$(0.2x)/(0.2)$ = $-(10.2)/(0.2)$
0.2 and 0.2 cancels out

x = -51

What is 0+-4????????????

Answers

0 + -4 = -4

the 0 has no value and cannot add anything on top of the -4

So -4 stays the same:)

Answer = -4

Good Luck! :)

Integer Numbers -They are all positive and negative whole numbers, which do not include any fractional or decimal part.

Consist of the set of numbers: {…-4, -3, -2, -1, 0, 1, 2, 3, 4…}

If a number has no sign it usually means that it is a positive number.

Example {0,1,2,3,4,5,6.....}

Adding and Subtracting integers

Adding integers

(+)+(+) = + sum

(-)+(-) = - sum

(+)+(-) or (-)+(+) = difference of numbers with signs of larger number in absolute value.

Subtracting Integers

(-)(-) = + sum

(-)(+) = - sum

Since 0 is a positive number and -4 is a negative number, we can represent them as (-)(+) = - sum

0+(-4) Equation

0-4 Simplify

-4 = Solution

there are 30 students in a chorale and 12 of these students can stay after school today to help prepare the stage for the concert what faction of the students can stay after school today

Answers

12/30 is the fraction 0.4 is the decimal all you do is put the fraction of kids who can stay in the numerator (top) and the kids who can't stay in the denominator (bottom) hope this helps hope i am brainliest i need one more

Point M lies between points L and N on Line segment L N .The space between L and M is 10 x + 8. The space between M and N is 5 x minus 4.
If LN = 12x + 16, what is the length of Line segment L N in units?

16 units
40 units
48 units
64 units

Answers

Answer:

64 units

Step-by-step explanation:

Given:

Point M lies between points L and N on Line segment LN.

Length of segment LM is given as = $10x+8$

Length of segment MN is given as = $5x-4$

Length of segment LN is given as = $12x+16$

From the information given we can conclude that the points L,M and N ar co-linear and

$LM+MN=LN$ [ Segment addition postulate as M lies in between L and N]

Substituting the values given to find $x$ .

$10x+8+5x-4=12x+16$

Combining like terms.

$15x+4=12x+16$

Subtracting both sides by $12x$

$15x+4-12x=12x+16-12x$

$3x+4=16$

Subtracting both sides by 4.

$3x+4-4=16-4$

$3x=12$

Dividing both sides by 3.

$(3x)/(3)=(12)/(3)$

∴ $x=4$

Length of segment LN can be found out by substituting $x=4$ in the expression for segment.

⇒ $12(4)+16$

⇒ $48+16$

⇒ $64$

Length of segment LN = 64 units (Answer)

Answer:

Step-by-step explanation:

the ratio of clown fish to angel fish at a pet store is 5: 4. the ratio of angle fish to goldfish is4:3 there are 60 clown fish at the pet store

Answers

clown fish: angel fish 5:4
angle fish: gold fish 4:3

(60): angel fish=5:4
(5)(12)=60
(4)(12)=48 angel fish

(48): gold fish=4:3
(4)(12)=48
(3)(12)=36 gold fish

How many complex roots does the equation below have?X6 + x3 +1 = 0
The number of complex roots is

Answers

Answer:

Step-by-step explanation:

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