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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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7 0
3 years ago
(-5,-4) rotated 270° counterclockwise
stepladder [879]

Answer:

(4, - 5 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 270°

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(- 5, - 4 ) → (4, - 5 )

6 0
3 years ago
Max adds 7 to a number the. Múltiples the sum by -4 the result is 3 times the same number write and since an equation to find th
GrogVix [38]

Answer:

The number is -4.

Step-by-step explanation:

Let the number be n.

Given:

Max adds 7 to a number.

hence it is given as n+7

Multiply's the sum by -4 the result is 3 times the same number.

Hence the equation can be written as;

-4(n+7)=3n

Now Solving the above equation to find value of n we get;

-4(n+7)=3n\\-4n-28=3n\\-4n-3n=28\\-7n=28\\n=\frac{28}{7}=-4

The value of n is -4.

Now when we add 7 to number -4 we get answer as 3.

And when the sum is multiplied by -4 we get answer -12.

Also 3 times of number is equal to 3 multiplied by -4 we get answer as -12.

Hence when the sum is multiplied by -4  it is equal to 3 times of same number.

Hence from above we can say that the number is -4.

7 0
2 years ago
Which events have a probability of 25 percent? Select three options.
Marta_Voda [28]

Answer:

choosing a green jelly bean out of a bag that contains 2 green jelly beans, 1 red jelly bean, and 5 yellow jelly beans

spinning a number less than 2 on a spinner that has four equal sections numbered from 1 to 4

choosing a spade out of a standard deck of cards that contains 13 hearts, 13 clubs, 13 diamonds, and 13 spades

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

choosing a green jelly bean out of a bag that contains 2 green jelly beans, 1 red jelly bean, and 5 yellow jelly beans

2 green jelly beans in a set of 2+5+1 = 8 jelly beans

2/8 = 0.25.

So this is one of the options.

rolling a number less than 3 on a six-sided die

2 options(1 or 2) out of 6 possible values

2/6 = 0.3333...

So this is not one of the options.

spinning a number less than 2 on a spinner that has four equal sections numbered from 1 to 4

1 options(1) out of four possible sections(1,2,3,4)

1/4 = 0.25

So this is one of the options.

choosing an Oregon state quarter out a bag that contains 4 California state quarters, 3 Oregon state quarters, 6 Texas state quarters, and 3 New York state quarters

3 Oregon quarters out of 4+3+6+3 = 16 quarters

3/16 = 0.1875

Not one of the options

choosing a spade out of a standard deck of cards that contains 13 hearts, 13 clubs, 13 diamonds, and 13 spades

13 cards(spades) out of a set of 52 cards

13/52 = 0.25

So this is the final option

8 0
3 years ago
Read 2 more answers
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