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3 years ago

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A container has 10 oz of salt water containing 59% salt. Roberto added 20 oz of salt water containing 20% salt to the container.

What percent of the mixture in the container is salt.

1 answer:

zubka84 [21]3 years ago

4 0

Does it give u answer choices

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Given certain information, what is the value of x4-y4?

Pepsi [2]

Well right off the bat, I can see a good reason why it should boggle.

If (x+y)=6 and (x-y)=2, then (x+y)(x-y) would be 12. It can't be 20.

The first 4 lines on the paper are inconsistent, so the question in the 5th line can't be calculated.

Another possible source of uncertainty (for us, anyway) is the remarkable similarity between the way you write ' Y ' and the way you write ' 4 ' . For example, look at the ' Y⁴ ' (I think ...) in the last line.

3 0

2 years ago

|1/2b-8|=|1/4b-1|<br> b=____ and ____

Deffense [45]

Answer:

b = 12 and 28

Step-by-step explanation:

The absolute value equation |1/2b-8| = |1/4b-1| resolves to a piecewise linear function with three pieces. There are two solutions.

<h3>Domains</h3>

The absolute value function on the left has a turning point where its value is zero:

1/2b -8 = 0

b -16 = 0

b = 16

The absolute value function on the right has a turning point where its value is zero:

1/4b -1 = 0

b -4 = 0

b = 4

For b > 16, both absolute value functions are identity functions. In this domain, the equation is ...

1/2b -8 = 1/4b -1

For 4 < b < 16, the function on the left negates its argument, so the equation in this domain is ...

-(1/2b -8) = 1/4b -1

For b < 4, both functions negate their arguments, so the equation in this domain is ...

-(1/2b -8) = -(1/4b -1)

For the purpose of finding the value of b, this is effectively identical to the equation for b > 16. (The value of b does not change if we multiply both sides of the equation by -1.)

<h3>Solutions</h3>

<u>Domain b < 4 ∪ 16 < b</u>

1/2b -8 = 1/4b -1

2b -32 = b -4 . . . . . . . . multiply by 4

b = 28 . . . . . . . . . . . . add 32-b to both sides

This solution is in the domain of the equation, so is one of the solutions to the original equation.

<u>Domain 4 < b < 16</u>

-(1/2b -8) = 1/4b -1 . . . . equation in this domain

-2b +32 = b -4 . . . . . . multiply by 4

36 = 3b . . . . . . . . . . . add 2b+4 to both sides

12 = b . . . . . . . . . . . . divide by 3

This solution is in the domain of the equation, so is the other solution to the original equation.

<h3>Graph</h3>

For the purposes of the graph, we have define the function g(b) to be the difference of the two absolute value functions. The solutions are found where g(x) = 0, the x-intercepts. The graph shows those to be ...

b = 12 and b = 28

__

<em>Additional comment</em>

Defining g(b) = |1/2b-8| -|1/4b-1|, we can rewrite it as ...

$g(b)=\begin{cases}7-\dfrac{1}{4}b&\text{for }b < 4\\-\dfrac{3}{4}b+9&\text{for }4\le b < 16\\\dfrac{1}{4}b-7&\text{for }16\le b\end{cases}$

Then the solutions are the values of b that make g(b) = 0.

4 0

1 year ago

Consider a function that describes how a particular car’s gas mileage depends on its speed. What would be an appropriate domain

natta225 [31]

Domain are x values (independent variable);

Speed would be independent so what speeds can be used ? -30 mph, 30 mph, 1000 mph?

Can a car go 0 mph?

What is realistic?

I would say 0 greater or equal to x greater than whatever you think is beyond the max that a car can go.

8 0

2 years ago

Read 2 more answers

Joseph's lunch at a restaurant costs $13.00 without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax

ryzh [129]

Answer:

The total cost of the lunch including the tip is $15.21.

Step-by-step explanation:

To find the total cost of the lunch including the tip, first, you need to calculate 17% of the price of the lunch as the statement indicates that that is the tip Joseph leaves the waiter:

$13*17%=$2.21

Now, you need to add that amount to the price of the lunch:

$13+$2.21=$15.21

According to this, the answer is that the total cost of the lunch including the tip is $15.21.

4 0

2 years ago

If PQRS is a square and TR = 17, find each missing value. Round to the nearest tenth.

mestny [16]

<h3> $\huge\mathfrak\pink{Answer}$ </h3><h3>The area of rhombus PQRS is 120 m. </h3>

Step-by-step explanation:

<h3>correct me if I'm wrong.</h3>

$\huge\mathfrak\red{Hope it's help}$

8 0

2 years ago