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3 years ago

13. what is the combine like term for 7x + 4(2x – 6)

Mathematics

2 answers:

Allushta [10]3 years ago

8 0

Answer: 15x-24

Step-by-step explanation:

7x+8x-24

15x-24

Valentin [98]3 years ago

8 0

The answer is
15x-24

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Gymnast Clothing manufactures expensive soccer cleats for sale to college bookstores in runs of up to 500. Its cost (in dollars)

Murljashka [212]

The relationship between profit and revenue is:

Profit = Revenue - Total Cost
Since the cost is given as a function, the equation will be substituted as
Profit = Revenue - (3,250 + 5x + 0.1x²)

Now, the revenue is a linear graph because it is the number of pairs multiplied the fixed rate. So, the slope is constant.
Revenue = 110x --> this is the function for revenue
Thus, the equation for profit would be

Profit = 110x - 3,250 - 5x - 0.1x²
P = -0.1x²+105x-3,250 --> this is the function for profit

Now, to find the minimum value of x to make profit, differentiate P with respect to x and equate to 0.

dP/dx = 0 = -0.2x + 105
x = 525

Thus, the Gymnast Clothing should manufacture at least 525 pairs in order to make profit.

7 0

3 years ago

Four families each brought the same number of chairs to a block party. Three more chairs are needed to seat all 27 people how ma

Olin [163]

Hi! :)

This question states that four families each brought the same number of chairs. We know that 27 chairs are needed overall and 3 are still needed after the four families' contributions.

Knowing this, you can figure out that you could do 27-3. This equals 24, so you would then just divide 24 by 4, since there are 4 families.

Your final answer should be that each family brought 6 chairs.

Hope this helps!

4 0

3 years ago

Kevin can travel 22 1/2 miles in 1/3 hour .What is the average speed in miles per hour?

pochemuha

He would travel 67 1/2 miles in an hour.

3 0

3 years ago

A penny fell off the top of the building and hit the sidewalk below 3.1 seconds later how many meters did the penny fall to the

Sedbober [7]

To solve this we are going to use the free distance fallen formula: $d=0.5gt^2$
where
$d$ is the distance
$g$ is the gravity of Earth $9.8m/s^2$
$t$ is the time in seconds

We know from our problem that the penny fell off the top of the building and hit the sidewalk below 3.1 seconds later, so $t=3.1$ . Lets replace the value in our formula:
$d=0.5gt^2$
$d=0.5(9.8)(3.1)^2$
$d=47.089$ meters

We can conclude that the penny fell a distance of 47.098 meters

3 0

4 years ago

What is the probability that she chose the four students so that exactly ONE of them is a junior?

8090 [49]

Answer:

B) 0.246

Step-by-step explanation:

The desired probability is the sum of the probabilities of each of the ways one junior can be chosen. If we let a, b, c, d represent the ratio of juniors in classes 1 to 4, then this probability is ...

p(1 junior) = (a)(1-b)(1-c)(1-d) + (1-a)(b)(1-c)(1-d) + (1-a)(1-b)(c)(1-d) + (1-a)(1-b)(1-c)(1-d)

We can simplify this a little bit to ...

p(1 junior) = (1-a)(1-b)(1-c)(1-d) × (a/(1-a) +b/(1-b) +c/(1-c) +d/(1-d))

___

So, for {a, b, c, d} = {9/15, 12/15, 6/15, 3/15} = {3/5, 4/5, 2/5, 1/5} the probability of interest is ...

p(1 junior) = (2/5·1/5·3/5·4/5) × (3/2 + 4/1 + 2/3 + 1/4) = 24/625 × 77/12

p(1 junior) = 154/625 ≈ 0.246

_____

<em>Comment on the sum we're computing</em>

Each of the probabilities in the first sum above is ...

p(junior in given class) · p(not a junior in the other 3 classes)

3 0

3 years ago

13. what is the combine like term for 7x + 4(2x – 6)​

13. what is the combine like term for 7x + 4(2x – 6)