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Rzqust [24]
3 years ago
11

A tree Casts a 9 foot shadow at the same time that a person 6 foot tall casts a 4 foot shadow. what is the height of the tree?

Mathematics
2 answers:
Anvisha [2.4K]3 years ago
7 0
6 foot, as the 6 foot person casting a 4 foot shadow provides us with the 3:2 thing:shadow ratio
raketka [301]3 years ago
7 0

Answer:

13.5

Step-by-step explanation:

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At a movie theater, the price of 2 adult tickets and 4 child tickets is $48. The price of 5 adult tickets and 2 child tickets is
SpyIntel [72]

Answer:

10$ for an adult and 7$ for a child

Step-by-step explanation:

price for an adult = a

price for a child = b

2a + 4b = 48.............(i)

5a + 2b = 64.............(ii)

make a subject of the formula in equation (i)

2a = 48 - 4b

divide through by 2

a = 24 - 2b

Insert the value of a in equation (ii)

5(24 - 2b) + 2b = 64

120  - 10b + 2b = 64

collect like terms

- 8b = 64 - 120

-8b = -56

divide both sides by -8

b = 7

insert the value of b in equation(i)

2a + 4(7) = 48

2a + 28 = 48

2a = 48 - 28

2a = 20

divide both sides by 2

a = 10

The price for one adult is $10 while the price for one child is $7

<em>credit goes to vintechnology</em>

hope that helped :)

3 0
2 years ago
How do I solve this?
vodomira [7]
I’m assuming what you’re asking here is how to *factor* this expression. For that, let’s rearrange the expression into a more familiar form:

-c^2-4c+21

From here, we’ll factor out a -1 so that we have:

-(c^2+4c-21)

Let’s focus on the quadratic expression inside the parentheses. To find our factors (c + x)(c + y), we’ll need to find two terms x and y that multiply together to make -21 and add together to make 4. It turns out that the numbers -3 and 7 work out perfectly for that purpose (-3 x 7 = -21 and 7 + (-3) = 4), so substituting them in for x and y, we have:

(c + (-3))(c + 7)
(c - 3)(c + 7)

And adding back on the negative from a few steps earlier:

-(c - 3)(c + 7)
7 0
3 years ago
Name a coordinate point located in quadrant 4
sergiy2304 [10]
A point in quadrant 4 could be (-4,-2)<span />
3 0
3 years ago
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The Point Imperial is the highest point of the Grand Canyon and it is 8,800
Afina-wow [57]

Answer:

1222

Step-by-step explanation:

sorry youve been waiting a minute

3 0
2 years ago
What does the digit 7 represent in 701,280?
Nat2105 [25]
The 7 in 701,280 is in the hundred thousands place.
6 0
3 years ago
Read 2 more answers
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