a farmhouse shelters 11 animals. Some are goats and some are ducks. Altogether there are 34 legs. How many of each animal are there?

Answers

Answer 1

Answer: x=goatsy=ducks4x+2y=34x+y=11-y -yx=11-y4(11-y)+2y=3444-4y+2y=3444-2y=34-44 -44-2y=10/2 /2y=5x+y=11x+5=11-5 -5x=6goats=6ducks=5

Answer 2

Answer: There could be lots of answers. I'm going with 5 goats and 7 ducks.

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What percent does a lender generally look for when considering the debt-to-income (DTI) ratio of a loan applicant?

Answers

a less than or equal to 36% hope i am brainliest i need it

Answer:

Step-by-step explanation:

If x > y and y > z, then x > z. This describes which ordinal scale preference? A. Asymmetry B. Transitivity C. Negative transitivity D. None of the above

Answers

Answer:

Step-by-step explanation:

Final answer:

The given statement 'If x > y and y > z, then x > z' describes the concept of transitivity in ordinal scales.

Explanation:

The given statement 'If x > y and y > z, then x > z' describes the concept of transitivity in ordinal scales. Transitivity is the property that allows us to compare elements in a set based on their relationships with other elements. In this case, if x is greater than y and y is greater than z, then we can conclude that x is also greater than z.

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A softball thrown into the air has a parabolic trajectory. After reaching a maximum height of 28 feet, the ball covers a ground distance of 4 feet before hitting the ground. Which equation describes the ball’s trajectory?

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If the take the origin as the starting point of the ball, then the vertex would be (4,28) and the parabola would be facing downwards. Using the general form of the parabola which is (x-h)^2 = 4p(y-k) where h and k are taken from the coordinate of the vertex (h,k).
So, the equation would be, (x-4)^2)=4p(y-28). To determine 4p, we can substitute either of the two points: (0,0) or (0,8). The second coordinate is taken from the given that the ball covers a distance of 4 ft after it reaches a maximum height. The total distance traveled by the ball is twice that, which is 8 ft.
After substituting, 4p = -4/7. Plugging this into the equation and after expanding and simplifying, the equation of the ball's trajectory is:
y = (-4/7)x^2+14x

What is the 41st term -13,-17,-21,-25...

Answers

adds -4 each time
first term is -13
an=a1+(n-1)d
d=common difference
a1=first term
an=-13+(n-1)(-4)
an=-13-4(n-1)

41 term
a41=-13-4(41-1)
a41=-13-4(40)
a41=-13-160
a41=-173

-173

Geometric sequence help

Answers

Hello,

First we must find the ratio:

$r= ( u_(2))/( u_(1)) = (20)/(-5) =-4\n\n r= ( u_(3))/( u_(2)) = (-80)/(20) =-4\n\n u_(1)= -5\n u_(2)= -5*(-4)\n u_(3)= -5*(-4)^2\n u_(4)= -5*(-4)^3\n \boxed{u_(n)= -5*(-4)^(n-1)\n}\n\n Answer\ B$

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the sum of the interior angles of a polygon is 540. determine and state the number of degrees in one interior angle of the polygon.

Answers

The number of degrees in one interior angle of the polygon is 108 degrees.

What is the polygon?

A polygon is a closed two-dimensional shape having straight line segments. It is not a three-dimensional shape.

Sum of interior angles of a polygon with n sides IS;

$\rm (n-2)* 180$

Sum of interior angles of a polygon = 540°

Equating both we can determine the number of sides

$\rm (n-2)* 180=540\n\nn-2=(540)/(180)\n\n n-2=3\n\nn=3+2\n\nn=5$

There are 5 sides in the polygon and the sum of the interior angles of a polygon is 540.

The number of degrees in one interior angle of the polygon is;

$=(540)/(5)\n\n=108$

Hence, the number of degrees in one interior angle of the polygon is 108 degrees.

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Any polygon with interior angles that add up to 540 must have 5 sides and 5 corners (a pentagon). Assuming it is a regular pentagon, you need to work out what 1/5 of 540 is, which is the same as dividing it by 5. 540/5 = 108. this is the number of degrees in one interior angle of a regular pentagon.

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