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a_sh-v [17]
3 years ago
10

Find 5.4 - 7.1 may you guys help me?

Mathematics
1 answer:
Xelga [282]3 years ago
3 0

Answer:

-1.7

Step-by-step explanation:

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Samantha is a waitress and earns a weekly paycheck of $350 plus any tips she earns throughout the week. One week, Samantha notic
nalin [4]

Answer:

\frac{350+12x}{x} =22

Step-by-step explanation:

Samantha's total earning per week are going to include the fix weekly wage of $350, plus whatever she gets from the tips. SInce what she gets from tips she noticed to be $12 per hour, if she works x hours during the week, the amount coming from tips only will be= $12*x

Therefore the total earning per week will add up to: $350 + $12*x

On the other hand, if we want to express her "average" hourly earnings, we need to divide the quantity above by the number of hours she works per week (we named such "x"): \frac{350+12x}{x}

Therefore, the last expression that states that "Samantha's average hourly earnings is $22", can be written as: \frac{350+12x}{x}=22

6 0
3 years ago
Read 2 more answers
What expression is equivalent to 3z
Liula [17]

Answer:

3 * z

Step-by-step explanation:

3 * z

if u multiply them, u get 3z

is that what u meant? or are there options to choose from, or did u forget to add something else?

6 0
3 years ago
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What is the equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10?
dybincka [34]

What you should do first is simplify the equation into the y = mx + b format. Move 2x to the other side. Know that in doing this, 2x must become the opposite of what it currently is (-2) in order for the equation to remain true. We also have to take away the '10' because the line is parallel, not exactly the same, which means a different y intercept. This looks like:

5y = -2x + b

Next, simplify y to make things easier. This can be done by dividing both sides by 5, like so:

\frac{5}{5}y = -\frac{2}{5}x + b

What you should also know is that if a line is parallel to another, then this means the slope has to be the same because they both have the same changes in rise and run. With this in mind, simply plug in the x and y values.

(-4) = -\frac{2}{5} * (5) + b

--> -4 = \frac{10}{5} + b

---> -4 = -2 + b

Add 2 to both sides to isolate b.

-4 + 2 = b

Which means that -2 = b.

Now that we have the y intercept, we can write the equation of the line, which is y = -\frac{2}{5}x - 2.

Hope this was helpful.

3 0
3 years ago
The maximum value of 12 sin 0-9 sin²0 is: -​
jeka57 [31]

Answer:

4

Step-by-step explanation:

The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)

If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0

However, I will assume you meant the angle to be \theta rather than 0 which makes sense and proceed accordingly

We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0

The original function is

f(\theta) = 12sin(\theta) - 9 sin^2(\theta)

Taking the first derivative of this with respect to \theta and setting it equal to 0 lets us solve for the maximum (or minimum) value

The first derivative of f(\theta) w.r.t \theta is

                        12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right)

And setting this = 0 gives

12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right) = 0

Eliminating cos(\theta) on both sides and solving for sin(\theta) gives us

sin(\theta) = \frac{12}{18} = \frac{2}{3}

Plugging this value of sin(\theta) into the original equation gives us

12(\frac{2}{3}) - 9(\frac{4}{9} ) = 8 - 4 = 4

This is the maximum value that the function can acquire. The attached graph shows this as correct

3 0
2 years ago
What is 4 over 10 in simplest form
ahrayia [7]
Ok so find 1's

remember that 4/4=1 also x/x=1 those are ones
also remember
if you had
10/30 that equals 10/10 times 1/3=1 times 1/3

so find ones

4/10=2/2 times 2/5=1 times 2/5=2/5
3 0
3 years ago
Read 2 more answers
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