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Harman [31]
3 years ago
5

15) a tree casts a shadow 21 ft while Enzo who is 5 ft tall casts a shadow 6 ft long. (with picture)

Mathematics
1 answer:
Darina [25.2K]3 years ago
7 0

Set up a ratio between the tree and Enzo.

5 ft / 6ft = x/21 ft.

Cross multiply:

(5 x 21) = (6 x x)

Simplify:

105 = 6x

Divide both sides by 6:

x = 105 / 6

x = 17.5 feet tall.

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Step-by-step explanation:

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Marcus has been running a beverage cart on weekends at the beach, selling water and soda. Last Saturday, he sold 40 bottles of w
Vedmedyk [2.9K]

Answer:

$2 for soda and $1.5 for a bottle of water

Step-by-step explanation:

You start by turning both situations into an equation

Let x represent bottles of water and y represent sodas

Saturday:

40x+25y=110

Sunday:

50x+45y=165

You then want to start by cancelling out the x in this equation, to do that you want 40x to become -50x so you:

50÷40=1.25

You then times the whole equation by -1.25

40x+25y=110

×-1.25

-50x+-31.25y= -137.5

You then add this equation by Sunday's equation

50x+45y=165

-50x+-31.25y=-137.5

          13.75y=27.5

You now want to make the co-efficient of y a whole number (for example 15) so you divide 15/13.75=1.09 recurring

13.75y=27.5

×1.09 recurring

    15y=30

15y/15=30/15

     y=2

Now that we know y = 2

We can use either Saturday or Sunday's equation to figure out the value of x

Let's use Sunday's:

50x+45×2=165

50x+90=165

50x+90-90=165-90

50x/50=75/50

x=1.5

Let's check our answer with Saturday's equation

40×1.5+25×2=110

This equation is correct

Therefore the prices for each beverage option is $1.5 for a bottle of water and $2 for a soda

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3 years ago
a diagonal walkway cuts through a park bordered by two parallel streets. the parks department plans to add an additional walkway
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Answer:

42

Step-by-step explanation:

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3 years ago
A new lawn has a perimeter of 278ft. And a width of 64ft. A bag of grass seed will cover 384ft of ground. How many bags of grass
Anit [1.1K]

Answer:

13 bags

Step-by-step explanation:

Area of the lawn: A=lw

w= 64 ft

P= 2(l+w)= 278 ft ⇒

  • l= 278/2- 64= 75 ft
  • A= 64*75= 4800 ft²

bags of seed required:

  • 4800/384= 12.5 so 13  full bags needed
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4 years ago
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