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3 years ago

A machine paints 158 toy planes in 45 minutes. find the unit rate per hour.

Mathematics

1 answer:

Stella [2.4K]3 years ago

5 0

3.51/1 hope that helps

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Alejandro bought $3.50 worth of pencils and erasers at the school store. Pencils cost $0.50 apiece, and erasers cost $0.75 apiec

Bezzdna [24]

Answer:

I would say that is is B

Step-by-step explanation:

Just put the answer

Please make be brainliest or like rate my answer please and thanks <3

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3 years ago

3(3b +2)=-30 what is b =

ycow [4]

3(3b+2)=-30 perform indicated multiplication on left side...

9b+6=-30 subtract 6 from both sides

9b=-36 divide both sides by 9

b=-4

4 0

3 years ago

The number of salmon swimming upstream to spawn is approximated by the following function:

umka2103 [35]

Answer:

The water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.

Step-by-step explanation:

Let $S(x) = -x^{3}+2\cdot x^{2}+405\cdot x +4965$ , for $6 \leq x \leq 20$ . $x$ represents the temperature of the water, measured in degrees Celsius, and $S$ is the number of salmon swimming upstream to spawn, dimensionless.

We compute the first and second derivatives of the function:

$S'(x) = -3\cdot x^{2}+4\cdot x +405$ (Eq. 1)

$S''(x) = -6\cdot x +4$ (Eq. 2)

Then we equalize (Eq. 1) to zero and solve for $x$ :

$-3\cdot x^{2}+4\cdot x +405 = 0$

And all roots are found by Quadratic Formula:

$x_{1} \approx 12.305\,^{\circ}C$ , $x_{2}\approx -10.971\,^{\circ}C$

Only the first root is inside the given interval of the function. Hence, the correct answer is:

$x \approx 12.305\,^{\circ}C$

Now we evaluate the second derivative at given result. That is:

$S''(12.305) = -6\cdot (12.305)+4$

$S''(12.305) = -69.83$

According to the Second Derivative Test, a negative value means that critical value leads to a maximum. In consequence, the water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.

5 0

3 years ago

What is 2378/2 into a mixed number

Volgvan

There no way that you can make this a mixed number unless you don't simplify all the way, which goes against the laws of math. I guess a fraction out of the answer would be 1189/1...

3 0

3 years ago

One fourth of y is less than or equal to -12 as an inequality

taurus [48]

Answer:

1/4Y $\leq$ -12

Step-by-step explanation:

6 0

3 years ago