Luisa's restaurant Bill comes to $75.50 and she leaves a 15% tip what is Luisa's total restaurant bill

Is 38/58 in simplest form? Explain why or why not. If not, write it in simplest form

Fofino [41]

Both 38 and 58 are even so they both can be divided by 2,

38/58

19/29

that is in the simplest form

6 0

3 years ago

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Practice

Oxana [17]

Step-by-step explanation:

1. She tried 16 cups of fruit juice and 4 cups of ginger ale. That was too fruity.

Here the taste was too fruity, and the ratio used is 16:4, so in the next attempt, she needs to use less than 16 cups of fruit juice and or more than 4 cups of ginger ale.

Here the quotient between the cups of juice and ginger is: 16/4 = 4

2. She tried 10 cups of fruit juice and 8 cups of ginger ale. That was too gingery.

Now, the ratio is too gingery, so she needs to use more fruit juice and less ginger.

Here the quotient between the cups of juice and ginger is: 10/8 = 1.25

so at this point, we know that if the quotient is 1.25 or less the mixture is too gingery, and if it is 4 or more is too fruity, so the range we need to point is (1.25, 4)

3. She tried 10 cups of fruit juice and 1 cup of ginger ale. That was too fruity.

Now the ratio is 10:1, she only diminished the amount of ginger used, now she needs to increment the number of cups of ginger used, but she needs to be careful to not use more than 7. (because she already knows that the ratio 10:8 ends being too gingery).

Here the quotient between the cups of juice and ginger is: 10/1 = 10, the range of interest still is: (1.25, 4)

4. She tried 8 cups of fruit juice and 4 cups of ginger ale. That was a little too gingery.

now the ratio is 8:4, and the mix ends being a little gingery.

This means that she may need to use a little bit less ginger or a little bit more juice.

Here the quotient between the cups of juice and ginger is: 8/4 = 2

So now the range of interest is (2, 4)

5: Now, knowing that the ratio 8:4 was a little bit gingery, it is a good idea to use a cup lees of ginger and test the mixture. If the mixture is still a little bit gingery, you can add a cup of juice, in this case, the ratio will be 8:3

If when you remove the first cup of ginger, the mixture now is a little bit juicy, you can add again the cup of ginger and a cup of juice, making the ratio 9:4

4 0

3 years ago

Face north. do a 1/4 turn clockwise which way will i be facing

Alla [95]

Answer:

You will be facing in a 90 degree angle.

Step-by-step explanation:

Did you mean like on a compass?

5 0

3 years ago

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The port of South Louisiana, located along 54 miles of the Mississippi River between New Orleans and Baton Rouge, is the largest

Ksenya-84 [330]

Answer:

a) 0.7287

b) 0.9663

c) 0.237

d) 3.65 tons of cargo per week or more that will require the port to extend its operating hours.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 4.5 million tons of cargo per week

Standard Deviation, σ = 0 .82 million tons

We are given that the distribution of number of tons of cargo handled per week is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P( port handles less than 5 million tons of cargo per week)

P(x < 5)

$P( x < 5) = P( z < \displaystyle\frac{5 - 4.5}{0.82}) = P(z < 0.609)$

Calculation the value from standard normal z table, we have,

$P(x < 5) =0.7287= 72.87\%$

b) P( port handles 3 or more million tons of cargo per week)

$P(x \geq 3) = P(z \geq \displaystyle\frac{3-4.5}{0.82}) = P(z \geq −1.82926)\\\\P( z \geq −1.82926) = 1 - P(z < -1.829)$

Calculating the value from the standard normal table we have,

$1 - 0.0337 = 0.9663 = 96.63\%\\P( x \geq 3) = 96.63\%$

c)P( port handles between 3 million and 4 million tons of cargo per week)

$P(3 \leq x \leq 4) = P(\displaystyle\frac{3 - 4.5}{0.82} \leq z \leq \displaystyle\frac{4-4.5}{0.82}) = P(-1.829 \leq z \leq -0.609)\\\\= P(z \leq -0.609) - P(z < -1.829)\\= 0.271-0.034 = 0.237= 23.7\%$

$P(3 \leq x \leq 4) = 23.7\%$

d) P(X=x) = 0.85

We have to find the value of x such that the probability is 0.85.

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 4.5}{0.82})=0.85$

$= 1 -P( z \leq \displaystyle\frac{x - 4.5}{0.82})=0.85$

$=P( z \leq \displaystyle\frac{x - 4.5}{0.82})=0.15$

Calculation the value from standard normal z table, we have,

$P( z \leq -1.036) = 0.15$

$\displaystyle\frac{x - 4.5}{0.82} = -1.036\\x = 3.65$

Thus, 3.65 tons of cargo per week or more that will require the port to extend its operating hours.

8 0

3 years ago

PLEEEEEEEEASE HELP! How the heck do i figure this out!!!?<br> Find m

Fiesta28 [93]

Here is how you find the answer.
Do remember that the term Bisect means to cut it in half.
So here it goes.
<span>5x = 3x + 10
5x - 3x = 10
2x = 10
x = 5
Then, substitute the values, so 5*5 or 3*5+10
Then, the answer for each smaller angle is 25.
</span>Remember bisect? so 25 x 2 so the final answer is 50.
Hope this is the answer that you are looking for. Thanks for posting your question!

4 0

3 years ago