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3 years ago

Been stuck on this for a while man...

Mathematics

1 answer:

sesenic [268]3 years ago

7 0

Answer:

2)y=6

4)36=a

Step-by-step explanation:

8y=48

/8 /8

y=6

18=a/2

*2 *2

36=a

You wanna get x by itself

You might be interested in

Subtract 8 – 63.

Vsevolod [243]

Answer:

-55

Step-by-step explanation:

4 0

4 years ago

A manager wishes to determine the relationship between the number of miles traveled (in hundreds of miles) by her sales repres

kati45 [8]

Answer:

$y=3.53 x +37.92$

And for 0 miles if we use the model we got:

$y(0)= 3.53*0 +37.92 = 37.92$

But for this case. No is not reasonable for a representative to travel o miles and have a positive amount of sales.

Step-by-step explanation:

For this case we assume the following data:

Miles traveled (X): 2,3,10,7,8,15,3,1,11

Sales (Y): 31,33,78,62,65,61,48,55,120

We want to found a linear model like this one : $y = mx+b$ . Where:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=582-\frac{60^2}{9}=182$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=4329-\frac{60*553}{9}=642.33$

And the slope would be:

$m=\frac{642.33}{182}=3.529$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{60}{9}=6.667$

$\bar y= \frac{\sum y_i}{n}=\frac{553}{9}=61.444$

And we can find the intercept using this:

$b=\bar y -m \bar x=61.444-(3.529*6.667)=37.917$

So the line would be given by:

$y=3.53 x +37.92$

And for 0 miles if we use the model we got:

$y(0)= 3.53*0 +37.92 = 37.92$

But for this case. No is not reasonable for a representative to travel o miles and have a positive amount of sales.

8 0

3 years ago

The friendly sausage factory (fsf) can produce hot dogs at a rate of 5,000 per day. fsf supplies hot dogs to local restaurants a

juin [17]

Answer:

a. 21 327 hot dogs/run

b. 70 runs/yr

c. 4 da/run

Step-by-step explanation:

Data:

Production rate (p) = 5000/da

Usage rate (u) = 260/da

Setup cost (S) = $66

Annual carrying cost (H) = $0.45/hot dog

Production days (d) = 294 da

Calculations:

a. Optimal run size

(i) Annual demand (D) = pd = (5000 hot dogs/1 day) × (294 days/1 yr)

= 1 470 000 hot dogs/yr

(ii) Economic run size

$Q_{0}= \sqrt{\frac{2DS }{ h}\times\frac{ p}{p-u }}$

$= \sqrt{\frac{2\times1470000\times66 }{ 0.45}\times\frac{ 5000}{5000-260 }}$

$= \sqrt{431200000\times\frac{ 5000}{4740 }}$

$= \sqrt{454852321}$

= 21 327 hot dogs/run

b. Number of runs per year

Runs = D/Q₀ = (1 470 000 hot dogs/1yr) × (1 run/21 327 hotdogs)

= 70 runs/yr

c. Length of a run

Length = Q₀/p = (21 327 hot dogs/1 run) × (1 da/5000 hot dogs)

= 4 da/run

8 0

3 years ago

See the pic below please! AND SHOW WORK!

irinina [24]

Well I don't know !
Let's check out the choices:

A). 3a - 4b = 21, a=0, b=7

   3(0) - 4(7) = 21

   0 - 28 = 21 Nope. That's not true.

B). 3a - 4b = 21, a=-3, b=2

   3(-3) - 4(-2) = 21

   -9 + 8 = 21

   -1 = 21 Nope. That's not right.

C). 3a - 4b = 21, a=-2, b=-3

      3(-2) - 4(-3) = 21

   -6 + 12 = 21

   6 = 21 Nope. That's not it.

Only one choice left.
This one had better be it:

D). 3a - 4b = 21, a=7, b=0

   3(7) - 4(0) = 21

   21 - 0 = 21

   21 = 21 Yay ! That's it !

7 0

3 years ago

Read 2 more answers

Write an equation based on the word problem below and solve it. *

valkas [14]

Answer:

m = $12 per week

Step-by-step explanation:

The equation would be 8m + $150 = $246. To find out how much money you earn a week, you need to solve for m.

First, subtract $150 from both sides of the equation. Doing so will leave you with an equation of 8m = $96.

Next, divide both sides by 8. This will leave you with m = $12, which is your final answer of how much money you earn a week.

6 0

3 years ago