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3 years ago

There are 18 animals. Some cows and some ducks with a total of 60 legs. How many cows and how many ducks?

1 answer:

5 0

X + Y = 18
X=chickens, Y=Cows
2x + 4y = 60
Let's try 8 and 10.
16 + 40=56, no, 32+20=52, no. 8&10 do not work.
Let's try 9 and 9.
18+36=54, no. 9&9 do not work.
Let's try 11 & 7.
22+28=50, no. 14+44=58, no.
Let's try 12 & 6.
24+24=48, no. 12+48=60 YES!
There are 12 cows and 6 chickens.

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How do I do this plz help me

USPshnik [31]

Naming the circle is just the only point in the center of the circle (E). The radius is half diameter of the circle so imagine a line connecting the center dot to any dot to the outside. An example of this would be (EC). The diameter is half the circle so any 3 points that cut the circle in half. This could be either (DEC) or (AEB).
So the answers would be:
A: (E)
B: (EC)
C: (DEC)
D: (AEB)

3 0

3 years ago

The manufacturer of a CD player has found that the revenue R (in dollars) is R(p)= -4p2+1200p, when the unit price is p dollars.

qaws [65]

Answer: 9000$

Step-by-step explanation:

Let 's use the formula to find the vertex of the parabola:

ax²+bx+c=0

$\displaystyle x_v=-\frac{b}{2a} \\\\ Where :\\\\ y_v- maximum \ \ income \\\\ y_v=a(x_v)^2+bx_v+c \\\\ Then \ in \ \ our \ \ case : \\\\ -4p^2+1200p =0 \\\\ x_v=-\frac{1200}{-4\cdot 2} =150 \\\\ y_v=-4\cdot (150)^2+150\cdot 1200 \\\\ y_v=150\cdot 1200-150\cdot 600 \\\\ y_v=600\cdot 150=\bf 9000 \$

4 0

2 years ago

Please solve with explanation

yan [13]

Answer:

The x coordinate of S is b.

Step-by-step explanation:

The coordinates of Point Q are:

(2a+2b)/2, 2c/2

= [(a + b), c].

The slope of the line AB

= (0-2c)/(2b-2a)

= -c/(b-a)

So The slope of the line QS = (b - a) / c = (b - a)/c.

Its equation is

y - c = (b - a)/c ( x - (a+b))

y = (b - a)/c ( x - (a+b)) + c.

The coordinates of Point P are:

(2a+0)/2, 2(c+ 0)/2

= (a, c)

The slope of the line AO

= (2c)/2a

= c/a

So The slope of the line PS = -a/c

Its equation is

y - c = -a/c(x - a)

y = -a/c(x - a) + c

So:

(b - a)/c ( x - (a+b)) + c

= -a/c(x - a) + c

(b - a)(x - a - b) + c^2 = -a(x - a) + c^2

(b - a)(x - a - b) = -a(x - a)

bx - ab - b^2 - ax + a^2 + ab = -ax + a^2

bx - ax + ax + a^2 - a^2 - ab + ab = b^2

bx = b^2

x = b = the x coordinate of S.

c). The point R has the same x coordinate as S So RS is perpendicular to OB.

3 0

2 years ago

pashok25 [27]

Answer:

Step-by-step explanation:

8 0

2 years ago

Use the geometric probability distribution to solve the following problem. On the leeward side of the island of Oahu, in a small

Greeley [361]

Answer:

(a) $\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1} ; \text{ n} = 1, 2, 3,....$

(b) P(1) = 0.740, P(2) = 0.192, and P(3) = 0.050.

(c) The probability that n ≥ 4 is 0.018.

(d) The expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry is 3.

Step-by-step explanation:

We are given that on the leeward side of the island of Oahu, in a small village, about 74% of the residents are of Hawaiian ancestry.

Let n = 1, 2, 3, … represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village.

(a) We can observe that the above situation can be represented through the geometric distribution because the geometric distribution states that we will keep on going with the trials until we achieve our first success,

Here also, n represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village.

So, the probability distribution of the geometric distribution is given by;

$\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1} ; \text{ n} = 1, 2, 3,....$

where, p = probability that the residents are of Hawaiian ancestry = 74%

(b) The probabilities that n = 1, n = 2, and n = 3 is given by;

$\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1}$