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Flauer [41]
3 years ago
14

A farmhouse shelters 10 animals some are pigs and some are ducks altogether there are 36 legs how many of each animal are there?

Mathematics
1 answer:
Dmitry [639]3 years ago
6 0
2x+4y=36 legs
2 for the two legged animals and 4 for the four legged animals
There are 10 animals so insert numbers that add up to 10 in for x and y
In this case x=2 y=8
Hope this helps!
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The equation of the line through point (- 4, 0) and parallel to the y-axis is
riadik2000 [5.3K]
The gradient of y axis is zero. Since the line is parallel to y axis, its gradient is also zero. This
y=mx+c
Where m is the gradient;
y=(0)x+c
y=c
Replacing for y and x;
0=0(-4)+c
c=0
7 0
3 years ago
Two different antibiotics can be used to treat an infection. Treatment with antibiotic 1 is known to be successful 80% of the ti
Deffense [45]

Answer: Option D

D. $108

Step-by-step explanation:

We must calculate the expected cost per patient to use treatment method B.

The expected cost for a discrete random variable x is:

C = \sum x_i * P (x_i)

Where x_i is the cost associated with the probability P(x_i)

In this case, the random variable x is represented by the cost of each treatment.

For treatment B there is a possibility that antibiotic 2 works, in that case the cost x would be $ 100 and P (x) = 0.9

There is also the possibility that it does not work, in this case the cost x would be $180 and the probability P (x) = 0.10

The expected cost  is:

C =\$100*0.9 + \$180*0.1\\\\C = \$108

3 0
4 years ago
line m passes through point (-2,-1) and is perpendicular to the graph of y=-2/3x+6. Line n is parallel to line m and passes thro
puteri [66]

Answer:

Hello...... here is a solution :

1 -  

Hello:

the   equation of "m" is : y = ax+b

the slope is a : a×(- 2/3) = -1......( perpendicular to a line : y=-2/3x+6 when the slope is -2/3 )

a = 3/2          

the line " n" that passes through (4, - 3) and  parallel to line "m" :  

when the slope is 3/2 ( same slope )

the equation in slope-intercept form of the line" n" is :

 y – (-3)= (3/2)(x – 4)







7 0
4 years ago
Read 2 more answers
find an equation of the line that bisects the acute angle formed by the graphs of 3x+5y+2=0 and 5x+3y-2=0
Aleks [24]

Answer:

x+ y = 0  

and

-2x + 5y + 2 = 0

Step-by-step explanation:

given line

3x+5y+2=0

5x+3y-2=0

solution

when two line bisect each other then line equation of bisector is express as

\frac{|A1x+B1y+C1|}{\sqrt{A1^2+B1^2+C1^2}} = \frac{|A2x+B2y+C2|}{\sqrt{A2^2+B2^2+C2^2}}      .........................1

and here

A1 = 3

B1  = 5

C1 = 2

and

A2 = 5

B2  = 3

C2 = -2

so now put value in equation 1 we get

\frac{|3x+5y+2|}{\sqrt{3^2+5^2+2^2}} = \frac{|5x+3y-2|}{\sqrt{3^2+5^2+(-2)^2}}    

solve it we get

-2x + 5y + 2 = 0    ..........1

and

3x+5y+2 = - ( 5x+3y-2 )

solve it we get

8x + 8y = 0

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4 0
3 years ago
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disa [49]

Answer:

C. 70 = 10x

E. 15x = 105

Step-by-step explanation:

x = 7

Using method of elimination;

A. X + 7 = 17

Substituting the value of x;

7 + 7 ≠ 17 (Incorrect option)

B. 7 = 17 - x

Substituting the value of x;

7 ≠ 17 - 7  (Incorrect option)

C. 70 = 10x

Substituting the value of x;

70 = 10 * 7  (Correct option)

D. X/35 = 5

Substituting the value of x;

7 / 35 ≠ 5  (Incorrect option)

E. 15x = 105

Substituting the value of x;

15 * 7 = 105  (Correct option)

8 0
3 years ago
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