It is possible to divid 15 by a mixed number and get a quotient greater than 15

Two trains on opposite tracks leave the same station at the same time. One train travels at an average speed of 80 kilometres pe

GREYUIT [131]

9514 1404 393

Answer:

20 minutes

Step-by-step explanation:

The trains are separating at the rate of 80 +70 = 150 km/hour. The time required to be 50 km apart is then ...

time = distance/speed = (50 km)/(150 km/h) = 1/3 h = 20 minutes

7 0

3 years ago

A square has an area of 49 in.² what is each side of the perimeter

ludmilkaskok [199]

I hope this helps you

square one side a

Area=a.a

49=a.a

7.7=a.a

a=7

Perimeter=4a=4.7=28

8 0

3 years ago

Can someone help please

myrzilka [38]

<h3>Answer: 15x^(7/3) - 8x^(7/4) + x + 9000</h3>

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Explanation:

If you know the cost function C(x), to find the marginal cost, we apply the derivative.

Marginal cost = derivative of cost function

Marginal cost = C ' (x)

Since we're given the marginal cost, we'll apply the antiderivative (aka integral) to figure out what C(x) is. This reverses the process described above.

$\text{Cost} = \text{antiderivative of marginal cost}\\\\\displaystyle C(x) = \int \left(35x^{4/3} - 14x^{3/4} + 1\right)dx\\\\$

$C(x) = \frac{1}{1+4/3}*35x^{4/3+1} - \frac{1}{1+3/4}*14x^{3/4+1} + x + D\\\\C(x) = \frac{1}{7/3}*35x^{7/3} - \frac{1}{7/4}*14x^{7/4} + x + D\\\\C(x) = \frac{3}{7}*35x^{7/3} - \frac{4}{7}*14x^{7/4} + x + D\\\\C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\$

D represents a fixed constant. I would have used C as the constant of integration, but it's already taken by the cost function C(x).

To determine the value of D, we plug in x = 0 and C(x) = 9000. This is because we're told the fixed costs are $9000. This means that when x = 0 units are made, you still have $9000 in costs to pay. This is the initial value. You'll find that all of this leads to D = 9000 because everything else zeros out.

Therefore, we go from this

$C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\$

to this

$C(x) = 15x^{7/3} - 8x^{7/4} + x + 9000\\\\$

which is the final answer.

3 0

2 years ago

1 (15 Points]. Prove the following statement: is divisible by 3 if only if it is a sum of three consecutive integers. be ddvisbk

Alinara [238K]

Answer:

<em>First.</em> Let us prove that the sum of three consecutive integers is divisible by 3.

Three consecutive integers can be written as k, k+1, k+2. Then, if we denote their sum as n:

n = k+(k+1)+(k+2) = 3k+3 = 3(k+1).

So, n can be written as 3 times another integer, thus n is divisible by 3.

<em>Second. </em>Let us prove that any number divisible by 3 can be written as the sum of three consecutive integers.

Assume that n is divisible by 3. The above proof suggest that we write it as

n=3(k+1)=3k+3=k + k + k +1+2 = k + (k+1) + (k+2).

As k, k+1, k+2 are three consecutive integers, we have completed our goal.

Step-by-step explanation:

4 0

3 years ago

Find x. Then find the measure of angles A, B and C.

mafiozo [28]

Answer:

x= 11

A=59

B= 37

C = 84

Step-by-step explanation:

A triangle adds up to 180 °.

So the equation will be a °+ b° + c° = 180°

Next, you combine like terms.

$6x + 3x + 9x+4-15-7 = 180\\18x-18=180$

Then inverse operation,

$18x-18=180\\18x=198\\x=11$

After to get a, b, and c you just need to plug in x.

$6(11)-7=a\\3(11)+4 = b\\9(11)-15=c$

4 0

3 years ago