All categories

2 years ago

Every female chicken lays 4 eggs. What is the constant of proportionality for the ratio of eggs to female chickens?

1 answer:

8 0

What I've been taught, to find direction proportion:
Ration is eggs to females.
Independent variable, x, is the female
Y, which is the eggs is the dependent variable.
y=kx
4=k(1)
k=4

You might be interested in

Please help me find the area of shaded region and step by step

Bumek [7]

Answer:

Part 1) $A=60\ ft^2$

Part 2) $A=80\ cm^2$

Part 3) $A=96\ m^2$

Part 4) $A=144\ cm^2$

Part 5) $A=9\ m^2$

Part 6) $A=(49\pi -33)\ in^2$

Step-by-step explanation:

Part 1) we know that

The shaded region is equal to the area of the complete rectangle minus the area of the interior rectangle

The area of rectangle is equal to

$A=bh$

where

b is the base of rectangle

h is the height of rectangle

$A=(12)(7)-(8)(3)$

$A=84-24$

$A=60\ ft^2$

Part 2) we know that

The shaded region is equal to the area of the complete rectangle minus the area of the interior square

The area of square is equal to

$A=b^2$

where

b is the length side of the square

$A=(12)(8)-(4^2)$

$A=96-16$

$A=80\ cm^2$

Part 3) we know that

The area of the shaded region is equal to the area of four rectangles plus the area of one square

$A=4(4)(5)+(4^2)$

$A=80+16$

$A=96\ m^2$

Part 4) we know that

The shaded region is equal to the area of the complete square minus the area of the interior square

$A=(15^2)-(9^2)$

$A=225-81$

$A=144\ cm^2$

Part 5) we know that

The area of the shaded region is equal to the area of triangle minus the area of rectangle

The area of triangle is equal to

$A=\frac{1}{2}(b)(h)$

where

b is the base of triangle

h is the height of triangle

$A=\frac{1}{2}(6)(7)-(6)(2)$

$A=21-12$

$A=9\ m^2$

Part 6) we know that

The area of the shaded region is equal to the area of the circle minus the area of rectangle

The area of the circle is equal to

$A=\pi r^{2}$

where

r is the radius of the circle

$A=\pi (7^2)-(3)(11)$

$A=(49\pi -33)\ in^2$

7 0

3 years ago

A boat traveled 240 miles downstream and back. The trip downstream took 12 hours. The trip back took 24 hours. What is the speed

RoseWind [281]

Answer:

rate boat = 15 mph

rate current = 5 mph

explanation:

d = r * t

t = d/r

240 / (r_boat + current) = 12 Multiply both sides by r_boat + r_current.

240 = 12(r_boat + current)

240/ (r_boat - current) = 24 Multiply both sides by r_boat - r_current

240 = 24*(r_boat - current)

Since the distances are the same in both equations, you can equate the right side of each.

12 (r_boat + current) = 24(r_boat - current) Divide by 12

r_boat + current = 2 (r_boat - current) Remove the brackets.

r_boat + current = 2*r_boat - 2* current add 2 currents to both sides

r_boat + 3currents = 2*r_boat Subtract r_boat both sides

3 currents = r_boat.

240 = 12*(r_boat + current. Divide by 12

20 = r_boat + current Put 3 currents in for r_boat

20 = 3currents + 1 current Combine

20 = 4 currents Divide by 4

5 = current

The rate of the current = 5 miles / hour

3 currents = r_boat

3*5 = rate_boat

15 = rate of the boat

8 0

2 years ago

When the equation is graphed is it linear or nonlinear ??

Keith_Richards [23]

Answer:

Nonlinear

Step-by-step explanation:

This is nonlinear because its parent function is y = $x^{2}$ . The parent function of a linear equation is y = x.

I hope this helps :))

8 0

3 years ago

Read 2 more answers

Determine the standard variation of the data below. (1, 2, 3, 4, 5)

Ne4ueva [31]

Calculate for the mean/ average of the given numbers:

μ = (1 + 2 + 3 + 4 + 5) / 5 = 3

Then, we calculate for the summation of the squares of differences of these numbers from the mean, S

S = (1 - 3)² + (2 - 3)² + (3 - 3)² + (4 - 3)² + (5 - 3)²
S = 10

Divide this summation by the number of items and take the square root of the result to get the standard deviation.

SD = sqrt (10 / 5) = sqrt 2
SD = 1.41

Thus, the standard deviation of the given is equal to 1.41.

8 0

3 years ago

Read 2 more answers

Help with number 9 please please thank you

Harlamova29_29 [7]

Answer:

$\large\boxed{53.9ml=0.0539l}$

Step-by-step explanation:

$1l=1,000ml\to1ml=\dfrac{1}{1,000}l=0.001l\\\\\text{Therefore}\\\\53.9ml=53.9\cdot0.001l=0.0539l$

6 0

3 years ago