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strojnjashka [21]
2 years ago
5

A thief steals a number of rare plants from a nursery. On the way​ out, the thief meets three security​ guards, one after anothe

r. To each security​ guard, the thief is forced to give one-half of the plants that he still​ had, plus 2 more.​ Finally, the thief leaves the nursery with 10 plants. How many plants were originally​ stolen?
Mathematics
1 answer:
DedPeter [7]2 years ago
7 0

The thief originally stole 64 plants.

<h3>What is arithmetic?</h3>

In mathematics, it deals with numbers of operations according to the statements.

Here,
Let the number of plants originally stolen by the thief be x.
On the way​ out, the thief meets three security​ guards, one after another. To each security​ guard, the thief is forced to give one-half of the plants that he still​ had, plus 2 more.​

Here,
For gourd 1 the planet is given = 1/2 x
For gourd 2 the planet is given = 1/2 * 1/2 x = 1/4 x
For gourd 3 the planet is given = 1/2*1/4 x = 1/8 x
Total plant given to the gourds = 1/2x +1/4x +1/8x + 2 = 7/x/8x +2
Finally, the thief leaves the nursery with 10 plants
x - 7x/8 + 2 = 10
x/8 = 8
x = 64

Thus, the thief stole 64 plants.

Learn more about arithmetic here:

brainly.com/question/14753192

<h3>#SPJ1</h3>


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Find the coordinates of M' after a reflection across the line y= -1 and then across the line x= -2. Answer in form (a,b)
Ksivusya [100]
<h3>Answer:  (-1,3)</h3>

===========================================================

Explanation:

Point M is currently located at (-3, -5). Note the y coordinate is y = -5. The vertical distance from this y coordinate to y = -1 is 4 units. If we move another 4 units up from y = -1, we end up at y = 3.

What does this mean? It means that reflecting point M over the line y = -1 has it end up on (-3, 3), which I'll call point N. See the diagram below.

---------

Next we reflect over the line x = -2. The horizontal distance from x = -3 to x = -2 is one unit. So we move another unit to the right to end up at x = -1.

Therefore, reflecting (-3,3) over the line x = -2 will have the point land on (-1, 3)

---------

When we reflect over the line y = -1 first and then the line x = -2 second, we will have the point (-3, -5) move to (-3,3) and then to (-1,3) in that order.

Check out the diagram below.

3 0
4 years ago
What is the numerator 2 and the denominator 5 in simplest form
Nuetrik [128]

Answer:

2/5

Step-by-step explanation:

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4 0
3 years ago
Y + 4 = 4/3 * 2<br> What is y?
salantis [7]

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Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:
Vlad1618 [11]

Answer:

a)  The mean     μ  =  719,16

The median is the middle number   m =  711

The mode is the number that occurs more often

md  =  700  

b) The range   r =  67

The standard deviation   σ  =  25.63

I  ( 95 % ) = ( 667.90 ; 770.42)

Step-by-step explanation:

We order the set of numbers in ascending order

             682    687   689  693  694 700 700 700 703   706  707  710   711                                                                        712    713   730   732  734   736  739   752    753  759  768 769

The mean    μ  =  Σ xi/n

μ  =  719,16

The median is the middle number

m  =  711

The mode is the number which occurs more often

md  =  700  

The range is  r  =  769 - 682    r  =  67

c)  Interval with 95 % of observations is   ( μ + 2σ  ; μ- 2σ )

I = ( 719.16  -  2*25.63  ;  719.16  +  2*25.63)

I  ( 95 % ) = ( 667.90 ; 770.42)

4 0
3 years ago
M=3 6=-8 what is the answer really need help
Leno4ka [110]
The equation doesn’t make sense though.You said m=3 and 6=-8 which doesn’t really make sense.if that’s the equation then it’s false or no solution because there is no m in the equation.I’m sorry but to answer this you have to put in the EXACT equation
5 0
4 years ago
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