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3 years ago

15

Mr. Lee left his fortune to his 3 sons, 4 daughters and his wife. Each son received twice as much as each daughter and his wife

received $6000, which was a quarter of the money. How much did each son receive?

1 answer:

ivolga24 [154]3 years ago

6 0

Hey there! :)

Answer:

$3600.

Step-by-step explanation:

If the wife received $6000 which is a quarter of the money, solve for the total amount of the fortune:

1/4x = 6000

Multiply both sides by 4:

x = $24000

We can begin by subtracting the wife's amount from the total:

24000 - 6000 = $18000

He has 3 sons and 4 daughters. Let 'x' represent the amount the daughters received, and '2x' the amount the sons received.

18000 = 3(2x) + 4(x)

Distribute and combine the terms:

18000 = 6x + 4x

18000 = 10x

Divide both sides by 10:

18000/10 = 10x/10

x = $1800. This is the amount that each daughter receives. Since the sons receive '2x':

2(1800) = $3600.

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Ivy's basketball team scored 38 point in the first game of the season. In the next 2 games they scored a total of 77 points. For

AleksAgata [21]

Answer:

The expression given by Ivy is WRONG.

The correct expression is $(19 + 77 x (0.5) )

The total mount in jar = $57.5

Step-by-step explanation:

Here, for each point scored, $0.5 is put in the jar.

Now, the point scored in the first game = 38 points

So, the amount put in the jar for 38 points = 38 x ( amount for 1 point)

= 38 x ( $0.5) = $19

So, after first game, jar has $19.

Now, the point scored in the(2 +3) game = 77 points

So, the amount put in the jar for 77 points = 77 x ( amount for 1 point)

= 77 x ( $0.5) = 77 x (0.5)

So, after second and third game, jar has $ (77 x (0.5)).

Now, total amount in jar

= Amount after first game + Amount after second and third game

= 19 + 77 x (0.5)

But , here THE TOTAL AMOUNT given by Ivy = 38+(77 x 0.5)

And 19 + 77 x (0.5) ≠ 38+(77 x 0.5)

Hence, the expression given by Ivy is WRONG.

The correct expression is $(19 + 77 x (0.5) )

And, the total mount in jar = 19 + 38.5 = $57.5

8 0

3 years ago

What is the value of y?<br> y + 30

Musya8 [376]

you can't solve this nor find the value of y because its not a full equation

6 0

3 years ago

Read 2 more answers

Please help me i don’t understand this question at all.

Maru [420]

9514 1404 393

Answer:

D.

Step-by-step explanation:

The wording "when x is an appropriate value" is irrelevant to this question. That phrase should be ignored. (You may want to report this to your teacher.)

When you look at the answer choices, you see that all of them are negative except the last one (D). When you look at the problem fraction, you see that it is positive.

The only reasonable choice is D.

__

Your calculator can check this for you.

√12/(√3 +3) ≈ 3.4641/(1.7321 +3)

= 3.4641/4.7321 ≈ 0.7321 = -1 +√3

__

If you want to "rationalize the denominator", then multiply numerator and denominator by the conjugate of the denominator. The conjugate is formed by switching the sign between terms.

$\displaystyle\frac{\sqrt{12}}{\sqrt{3}+3}=\frac{\sqrt{12}}{(\sqrt{3}+3)}\cdot\frac{(\sqrt{3}-3)}{(\sqrt{3}-3)}=\frac{\sqrt{36}-3\sqrt{12}}{3-9}\\\\=\frac{6-3\cdot2\sqrt{3}}{-6}=\boxed{-1+\sqrt{3}}$

_____

<em>Additional comment</em>

We "rationalize the denominator" in this way to take advantage of the relation ...

(a -b)(a +b) = a² -b²

Using this gets rid of the irrational root in the denominator, hence "rationalizes" the denominator.

We could also have multiplied by (3 -√3)/(3 -√3). This would have made the denominator positive, instead of negative. However, I chose to use (√3 -3) so you could see that all we did was change the sign from (√3 +3).

3 0

3 years ago

0.25 divided <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D" id="TexFormula1" title="\frac{1}{4}" alt="\frac{1}{4}" ali

kogti [31]

Answer:

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2 years ago

Snow Dome Ski Resort has 75 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resor

Nastasia [14]

Answer:

a. See explanation for table

b. The 7th hour

Step-by-step explanation:

Given

Ski Resort

$Base\ Snow = 75in$

$Rate = 1in$ hourly

Mt. Winterpark

$Base\ Snow = 68in$

$Rate = 2in$ hourly

First, we need to illustrate the amount of snow as an equation in both cases.

$Amount = Base\ Snow + Rate * Time$

Let x be number of hours. and y be the amount of snow

So:

Ski Resort

$y= 75 + 1* x$

$y= 75 + x$

Mt. Winterpark

$y= 68 + 2 * x$

$y= 68 + 2x$

Next, we make a table to show the data.

When $x = 0$

Ski Resort: $y = 75 + 0 = 75$

Mt. Winterpark: $y = 68 + 2(0) = 68$

When $x = 1$

Ski Resort: $y = 75 + 1 = 76$

Mt. Winterpark: $y = 68 + 2(1) = 70$

When $x = 2$

Ski Resort: $y = 75 + 2 = 77$

Mt. Winterpark: $y = 68 + 2(2) = 72$

When $x = 3$

Ski Resort: $y = 75 + 3 = 78$

Mt. Winterpark: $y = 68 + 2(3) = 74$

When $x = 4$

Ski Resort: $y = 75 + 4 = 79$

Mt. Winterpark: $y = 68 + 2(4) = 76$

When $x = 5$

Ski Resort: $y = 75 + 5 = 80$

Mt. Winterpark: $y = 68 + 2(5) = 78$

When $x = 6$

Ski Resort: $y = 75 + 6 = 81$

Mt. Winterpark: $y = 68 + 2(6) = 80$

When $x = 7$

Ski Resort: $y = 75 + 7 = 82$

Mt. Winterpark: $y = 68 + 2(7) = 82$

When $x = 8$

Ski Resort: $y = 75 + 8 = 83$

Mt. Winterpark: $y = 68 + 2(8) = 84$

When $x = 9$

Ski Resort: $y = 75 + 9 = 84$

Mt. Winterpark: $y = 68 + 2(9) = 86$

When $x = 10$

Ski Resort: $y = 75 + 10 = 85$

Mt. Winterpark: $y = 68 + 2(10) = 88$

Hence, the table is:

x ---- Ski Resort ---- Mt. Winterpark

0 --------75 ----------- 68

1 --------76 ----------- 70

2 --------77 ----------- 72

3 --------78 ----------- 74

4 --------79 ----------- 76

5 --------80 ----------- 78

6 --------81 ----------- 80

7 --------82 ----------- 82

8 --------83 ----------- 84

9 --------84 ----------- 86

10 -------85 ----------- 88

(b)

From the table, the amount of snow is the same at the 7th hour and the snow is 82 inches

4 0

3 years ago