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zheka24 [161]
3 years ago
13

The ratio of tomatoes to pepper plants in the garden is 5:2. If there are 6 more tomato plants than pepper plants, how many pepp

er plants are in the garden?
Mathematics
1 answer:
Kay [80]3 years ago
6 0

The ratio from tomatoes to pepper plants is 5:2

Meaning there are 5 tomatoes and 2 pepper plants

In order to find a ratio where there are 6 more tomatoes than pepper plants you will have to multiply.

-----

When the ratio 5:2 is multiplied by 2

it equals 10:4

We can stop here because it is shown that now there are 6 more tomatoes than pepper plants.

-----

So there are:

10 tomatoes

and

4 pepper plants!

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(c) The annual membership fee in 2013 is $198 for each adult and $75 for each child.
Serggg [28]

Answer:

i ) $96120

ii ) Singular adult fee in 2012: $186.91

Step-by-step explanation:

( i )

To find the costs of all 560 peoples you:

Multiply the amount of people by the fee,

440 × 198 = $87120

120 × 120 = $9000

Add these go get the sum of member fees: $96120

( ii )

First calculate what 1% of the adult fee would be:

198 ÷ 100 = 1.98 = 1%

Then calculate what 0.1% of the fee:

1.98  ÷ 10 = 0.198 = 0.1%

Now multiply 5 by the value of 1% to get 5% :

5 × 1.98 = 9.9

Then multiply 6 by the  0.1% to get 0.6% :

0.198 × 6 = 1.188

Add these numbers together to get:

1.188 + 9.9 = $11.088 = 5.6%

Due to the fact this question is referring to money we will round this number 2 decimal places (as money does not exceed 2dp)

$11.09

We now subtract this from the 2013 fee to find out the 2012 fee

$198 - $11.09 = $186.91

$186.91 was the cost of a singular adult fee in 2012

6 0
2 years ago
Subtract 5x−25x−2 ​​from​ −3x+4−3x+4<br><br> −8x+6<br><br> −8x+2<br><br> 2x + 2<br><br> 8x−6
xxMikexx [17]
−3x + 4 - (<span>5x−2)
= </span>−3x + 4  - 5x + 2
= - 8x +6

answer is <span>−8x+6 (first choice)</span>
3 0
3 years ago
Read 2 more answers
- If f ( x ) = x² + 2x - 1 and g ( x ) = 3x - 2 , then verify the following :
RideAnS [48]

Step-by-step explanation:

Hey there!

Given;

f ( x ) = x² + 2x - 1

g ( x ) = 3x - 2

To verify:

( \frac{f}{g} )(2) =  \frac{f(2)}{g(2)}

LHS:

(\frac{f}{g} )(x) =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~ Insert "2" instead of "x".

(\frac{f}{g} )(2) =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it;

\frac{f}{g} (2) =  \frac{4 + 4 - 1}{6 - 2}

Therefore; (f/g)(2) = 7/4.

RHS:

\frac{f(x)}{g(x)}  =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~Insert "2" instead of"x".

\frac{f(2)}{g(2)}  =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it.

\frac{f(2)}{g(2)}  =  \frac{4 + 4 - 1}{6 - 2}

Therefore, f(2)/g(2) = 7/4.

Since (f/g)(2) = f(2)/g(2) = 7/4.

<em><u>Proved!</u></em>

<u>Hope </u><u>it </u><u>helps</u><u>!</u>

3 0
3 years ago
What is the approximate solution to this equation?
Citrus2011 [14]
The answer is B because 5^3 is 125 so the approximate answer is 124.75
6 0
2 years ago
Read 2 more answers
Why are these triangles similar?​
Nezavi [6.7K]
The answer is AA

good luck
3 0
2 years ago
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