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snow_tiger [21]
4 years ago
10

Dory's grandma runs a chicken farm. The number of eggs her hens lay is given by the equation e = 3h, where e is the number of eg

gs and h is the number of hens. If there are 500 hens on the farm, how many eggs would they lay at this rate?
Mathematics
2 answers:
Nadusha1986 [10]4 years ago
5 0
Plug in 500 for h in the equation and you get:
e=3 (500)
e=1500
fenix001 [56]4 years ago
3 0

Answer: 1,500

Step-by-step explanation:

Given : The number of eggs her hens lay is given by the equation

e = 3hwhere e is the number of eggs and h is the number of hens.

If there are 500 hens on the farm, then the number of eggs her hens lay is given by : -

e = 3(500)\\\\\Rightarrow\ e=1500

Therefore, number of eggs her hens lay at the given rate = 1,500.

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Find the percent of the area under the density curve where x is more than 3. <br>​
Gekata [30.6K]

Answer:

The percent of the area under the density curve where x is more that 3 is 25 %.

Step-by-step explanation:

Since the density curve is a linear function, the area under the curve can be calculated by the geometric formula for a triangle, defined by the following expression:

A = \frac{1}{2}\cdot (x_{f} - x_{o})\cdot  (y_{f}-y_{o}) (1)

Where:

A - Area, in square units.

x_{f} - x_{o} - Base of the triangle, in units.

y_{f} - y_{o} - Height of the triangle, in units.

The percent of the area is the ratio of triangle areas under the density curve multiplied by 100 per cent, that is:

x = \frac{\frac{1}{2}\cdot (5-3)\cdot (0.25) }{\frac{1}{2}\cdot (5-1)\cdot (0.5) }\times 100\,\%

x = 25\,\%

The percent of the area under the density curve where x is more that 3 is 25 %.

7 0
3 years ago
Hii I need help with these questions tyy!
9966 [12]

Answer:

(7x+2)(3x-1); (5x+4)^2 or (5x+4)(5x+4);

Step-by-step explanation:

formula to find area is L* W = A ; meaning length multiplied by width equals to the area.

21.

using the formula to find area...

l*w=a

(7x+2)(3x-1) would be your answer

btw, don't put the "=a" at the end, since it's an expression :))

22.

since the problem states that it's a square, you can just say either...

(5x+4)^2 or (5x+4)(5x+4) not sure which one your teacher accepts

4 0
3 years ago
Read 2 more answers
4(-4x - 3) &gt; 36 with the steps
Sergeu [11.5K]

Answer:

x < -3

Step-by-step explanation:

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

−4x−3> 36/4

​Divide 36 by 4 to get 9.

−4x−3>9

Add 3 to both sides.

−4x>9+3

Add 9 and 3 to get 12.

−4x>12

Divide both sides by −4. Since −4 is negative, the inequality direction is changed.

x< 12/-4

​ Divide 12 by −4 to get −3.

x < -3

5 0
2 years ago
Read 2 more answers
The decreasing​ population, p, of owls in a national park is being monitored by ecologists and is modeled by the equation p=−0.
n200080 [17]

By solving a quadratic equation, it can be verified that

The owl population will disappear after 329.12 years

What is a quadratic equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A two degree equation is known as quadratic equation.

Here, a quadratic equation needs to be solved

The decreasing​ population, p, of owls in a national park is being monitored by ecologists and is modeled by the equation p=-0. 4t^2+128t+1,200

For population to disappear, p =0

-0. 4t^2+128t+1,200 = 0\\0.4t^2 -128t - 1200 = 0\\4t^2 - 1280t - 12000 = 0\\4(t^2 - 320 t - 3000) = 0\\t^2 - 320t -3000 = 0\\t = \frac{-(-320)\pm \sqrt{(-320)^2 - 4 \times 1 \times (-3000)}}{2 \times 1}\\t = \frac{320 \pm 338.23}{2}\\t = \frac{320 + 338.23}{2} \ or \ t = \frac{320 - 338.23}{2}\\t = 329.115 \ or \ t = -9.115

But t = -9.115 is not possible as time cannot be negative

So, the owl population will disappear after 329.12 years

To learn more about quadratic equation, refer to the link-

brainly.com/question/1214333

#SPJ4

7 0
1 year ago
Which linear function represents the line given by the point-slope equation y – 8 = (x – 4)? f(x) = x + 4 f(x) = x + 6 f(x) = x
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It is understood without being written that the slope of this line is 1.  If we rewrite the point-slope form of the line it would be y-8=1(x-4) where 1 is the slope.  We move the -8 over by addition to get y = 1x-4+8, or, simplified, y=x+4, the first choice in your answers.
7 0
3 years ago
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