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cupoosta [38]
3 years ago
9

One garden had 5 times as many raspberry bushes as a second garden. After 22 bushes are transplanted from the first garden to th

e second garden, the number of raspberry bushes in the gardens are the same. How many bushes did each garden have originally?
Please show work and no links or files! :)
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
5 0

Let the number of raspberry bushes in one garden = x

And the number of raspberry bushes in second garden = y

Garden one has 5 times as many raspberry bushes as second garden,

So the equation will be,

x = 5y -------(1)

If 22 bushes were transplanted from garden one to the second, number of bushes in both the garden becomes same,

Therefore, (x - 22) = (y + 22)

x - y = 22 + 22

x - y = 44 ------(2)

Substitute the value of x from equation (1) to equation (2)

5y - y = 44

4y = 44

y = 11

Substitute the value of 'y' in equation (1),

x = 5(11)

x = 55

Therefore, Number of bushes in garden one were 55 and in second garden 11 originally.

Learn more,

brainly.com/question/12422372

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Answer:

16

Step-by-step explanation:

Okey dokey my dude, here's the deal. All you have to do to answer this is use order of operations (parentheses exponents multiplication division addition subtraction).

8÷2(<u>2+2</u>)=?

//parenthesis first

8÷2(4)

//Ok here's where people will mess up. They just look at the problem and assume that you should multiply the 2 and (4) first because the 4 is in parenthesis. That's understandable, but wrong. What the equation should really look like is 8÷2·4. So you should do 8÷2 first.

<u>8÷2</u>·4=?

4·4=?

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Answer:

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Step-by-step explanation:

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3 years ago
Perform the operation.<br> (8x2 – 7x – 2) – (6x2 – x + 3)
rewona [7]

Answer:

2 x² - 6x -5

Step-by-step explanation:

<u><em>Expansion:-</em></u>

Given that the expression

                    (8x²-7x-2)-(6x²-x+3)

                = 8x² - 6x² - 7x +x -2 -3

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5 0
3 years ago
Explain why it is helpful to know the basic function shapes and discuss some ways to remember them.
postnew [5]
<h3>Explain why it is helpful to know the basic function shapes and discuss some ways to remember them. </h3>
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3 0
2 years ago
F(x) = ( - 3x² + 2 – 2)e". Find f'(x) and f''(x).<br> f'(2) =<br> f''(c)<br> =
prisoha [69]

Answer:

-3x²-5xeˣ-eˣ

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Step-by-step explanation:

I'm going to go by the picture and not what you wrote in your title.

To find the derivative of this we have to apply the product rule

(a*b)'=

a'*b+a*b'

We plug in our numbers and get

(-3x²+x-2)'*eˣ+(-3x²+x-2)*eˣ'

Now we can evaluate the derivatives and simplify

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which means we have

(-6x+1)*eˣ+(-3x²+x-2)*eˣ

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Combine like terms

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Now we just need to find the derivative of this

We can apply the same product rule as we did before

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Let's start by factoring out the -3 to get

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Compute this and get

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-5(eˣ+xeˣ)

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Which means we have

(-3x²eˣ-6xeˣ)+(-5eˣ-5xeˣ)-eˣ

Combine like terms and get

-3eˣx²-11eˣx-6eˣ

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