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allochka39001 [22]
4 years ago
10

A parking lot has spaces reserved for motocyles, cars and vans. There are five more spaces reserved for vans than motorcycles. T

here are three timea as many car spaces as van and motorcycle spaces combined. If the parking lot has 180 total reserved spaces how many of each type are there?
Mathematics
1 answer:
77julia77 [94]4 years ago
7 0

Answer:

  • motorcycles: 20
  • vans: 25
  • cars: 135

Step-by-step explanation:

There are 3 car spaces for each non-car space, so the number of car spaces is 3/4 of the total: (3/4)×180 = 135.

The number of motorcycle spaces is half of 5 less than the remainder, so is ...

  (180 -135-5)/2 = 20

and van spaces are 5 more than that: 25.

There are 20 motorcycle spaces, 25 van spaces, and 135 car spaces.

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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
A company is designing a new cylindrical water bottle. The volume of the bottle will be 220 cmcubed. The height of the water bot
FrozenT [24]

Answer:

Radius = 2.90 cm

Step-by-step explanation:

Volume \: of \: Cylinder \:  = \pi {r}^{2} h

220 = 3.14 × {r}^{2} × 8.3

220 = 26.062 × {r}^{2}

220/26.062 = {r}^{2}

{r}^{2} = 8.44 ( approx )

r = √8.44

r = 2.90 cm. (approx)

Hope this helps .....

Please mark as Brainliest!!!!

4 0
3 years ago
Find the area of the shaded region.
trasher [3.6K]

This is Mr. Ramirez and we are not allowed to use outside sources for the Area of Composite Figures Quiz, if I found out which class you are in then you will be receiving an automatic 0 on this quiz.

5 0
3 years ago
How do you do this I'm not sure
Dmitrij [34]
8 squared + 24 squared = x squared
(x is your missing side)
8x8= 64 24x24= 576 = x squared
64 + 576 = x squared
640 = x squared
(square root both sides)
square root of 640= 25.29
square root x = x

your missing side is...
25.29 ft
5 0
3 years ago
Find the value of b.<br> A 57<br> B 50 <br> C 123<br> D 61.5
pychu [463]

Answer: The answer is 50

Step-by-step explanation:

I did the test

4 0
2 years ago
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