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Zina [86]
3 years ago
12

jane loves animals. She has an equal number of beetles, birds and spiders as pets. Apart from human legs, there is a total of 27

0 legs in the house. How many spiders does Jane have if a spider has 8 legs and a beetle has 6 legs?
Mathematics
1 answer:
kherson [118]3 years ago
5 0

Answer:

16.875 spiders

Step-by-step explanation:

Given

Let

B = Beetles

C = Birds

S = Spiders

So, we have:

B = C = S --- equal amounts

6B + 2C + 8S = 270 --- the legs

Required

The number of spider

Since she has an equal amount of B, C and S;

The expression can be written as:

6B + 2C + 8S = 270

6S + 2S + 8S = 270

16S = 270

Solve for S

S = \frac{270}{16}

S = 16.875

<em>The result of the solution does not represent real life situation because it it is not possible to have a fraction number of spider</em>

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Answer:

(5x+3)(2x+4)=10x^2+26x+12

Step-by-step explanation:

You use FOIL (First, Outer, Inner Last)

First: 5x times 2x= 10x^2

Outer: 5x times 4= 20x

Inner: 3 times 2x= 6x

Last= 3 times 4

Combine 20x and 2x to get 26x

3 0
3 years ago
7x(x+4)<br> 7x^2+4<br> 7x^2+28x<br> 8x+4<br> 8x+11
Scilla [17]

Answer:

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Step-by-step explanation:

7x(x+4)\\\\Multiplication\ is\ distributive\ on\ addition\\\\\Rightarrow 7x(x+4)=7(x\times x+x\times 4)\\\\7x(x+4)=7(x^2+4x)\\\\Multiplication\ is\ distributive\ on\ addition\\\\\Rightarrow 7x(x+4)==7\times x^2+7\times 4x\\\\7x(x+4)=7x^2+28x

6 0
3 years ago
-2y + 6 = -12<br><br> what is the answer??
il63 [147K]

Answer:

9

Step-by-step explanation:

Simplifying

2y + -6 = 12

Reorder the terms:

-6 + 2y = 12

Solving

-6 + 2y = 12

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation.

-6 + 6 + 2y = 12 + 6

Combine like terms: -6 + 6 = 0

0 + 2y = 12 + 6

2y = 12 + 6

Combine like terms: 12 + 6 = 18

2y = 18

Divide each side by '2'.

y = 9

Simplifying

y = 9

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