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Bad White [126]
3 years ago
8

Place each number on the number line. Use the number line to round the numbers to the nearest 1,000

Mathematics
1 answer:
artcher [175]3 years ago
5 0
Where is the number line
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An aged merchant of Baghdad was much respected by all who knew him. He had three sons, and it was a rule of his life to treat th
IRINA_888 [86]

Answer:

Son number 1 has 3 full, 5 half, and 3 empty barrels.

Son number 2 has 4 full, 3 half and 4 empty barrels.

Son number 3 has 3 full, 5 half, and 3 empty barrels.

Step-by-step explanation:

Let's first calculate the amount of honey we have (in barrel unit):

10*1 + 13*0.5 + 10*0 = 16.5 honey units

As the father wants to split it equally between the 3 sons, each of them should get 16.5 / 3 = 5.5 honey units

And since we have 33 barrels in total which must be split equally between the sons, each should receive 33 / 3 = 11 barrels.

Since the sons are identical, let's start by splitting each of the barrels equally. We can rearrange later to match all criteria:

3 full, 4 half, and 3 empty for each of the sons, makes it 10 barrels and 3*1 + 4*0.5 + 3*0 = 5 honey unit

For 3 sons there would be 1 full, 1 half and 1 empty barrels left

We can give 1 half barrel to the 1st son, now he has 11 barrels and 5.5 units of honey. He's good to go. we have 1 full, 1 and 1 empty barrels left.

Give the full barrel to the 2nd son, now he has 11 barrels, but 6 unit of honey. So we trade the empty barrel for a half barrel of his. So he would have 4 full, 3 half and 4 empty barrels. That accounts for 11 barrels, 4*1 + 3*0.5 + 3*0 = 5.5 barrels.

We are left with 1 half barrel, that can be given to the 3rd son, now he would have 3 full, 5 half, and 3 empty barrels. That accounts for 11 barrels and 3*1 + 5*0.5 + 3*0 = 5.5 unit of honey.

7 0
3 years ago
Point t is on line segment su. Given st=6 and tu=5 determine the length of su
ch4aika [34]

Answer:

11 units

Step-by-step explanation:

Given that t is on the line su , then

su = st + tu = 6 + 5 = 11

6 0
2 years ago
Read 2 more answers
As discussed in Exercise 6.10, the General Social Survey reported a sample where about 61% of US residents thought marijuana sho
Maslowich

Answer: 2285

Step-by-step explanation:

Formula to find the sample size is given by :-

n=p(1-p)(\dfrac{z_c}{E})^2

, where p = prior estimate of population proportion.

E= Margin of error.

z_c = z-value for confidence interval of c.

Given : Confidence interval : 95%

From the z-value table , the z-value for 95% confidence interval = z_c=1.96

The General Social Survey reported a sample where about 61% of US residents thought marijuana should be made legal.

i.e. the prior estimate of population proportion of US residents thought marijuana should be made legal : p=0.61  

 [∵ sample proportion is the best estimate for population proportion.]

Margin of error : E= 2%=0.02

Now, the required minimum sample size would be :-

n=0.61(1-0.61)(\dfrac{1.96}{0.02})^2

Simplify ,

n=0.2379\times9604=2284.7916\approx2285

Thus , we need to survey <u>2285</u> Americans .

4 0
3 years ago
Find f(x) and g(x) so that the function can be described as y = f(g(x)). y = 3/ square root of 3x + 4
Elis [28]
Well, your equation y=3/SQRT(3x+4) should be rationalized, but that's not what you want.

If f(x) = 3/SQRT(x+4) and g(x) = 3x

f(g(x)) then = 3/SQRT(3x+4), but rationalizing this = 3SQRT(3x+4)/(3x+4)

3 0
3 years ago
Read 2 more answers
What is the solution of y − 4x = 0 and 3x + 6y = 9?
Elden [556K]
You solve this by plugging one equation into the other. Usually you have to rewrite one equation to make this work. In this case I choose to rewrite y-4x=0 as y=4x.

After plugging it into the second, you get:

3x + 6*4x = 9 => 27x = 9 => x=1/3

Putting this solution back into y=4x gives us y=4/3
4 0
3 years ago
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