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spin [16.1K]
3 years ago
9

On a farm there are some cows and some chickens. If the animals have a total of 40 head and 112 legs, how many cows are there?

Mathematics
1 answer:
emmainna [20.7K]3 years ago
7 0
\frac{112-2*40}{2}\\\frac{112-80}{2}\\\frac{32}{2}\\16

16 cows and 24 chickens.
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The sum of five more than a certain number and 10 more than twice the number is equal to the product of 2 and the number increas
d1i1m1o1n [39]

Answer:

No solution

Step-by-step explanation:

10+2x=2x+8

2x=2x-2

0≠-2

7 0
2 years ago
Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by
11111nata11111 [884]

Answer:

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is V=l\times b\times h

V=(11-2x)\times (7-2x)\times x

V=4x^3-36x^2+77x

Derivate w.r.t x,

V'(x)=4(3x^2)-2(36x)+77

V'(x)=12x^2-72x+77

The critical point when V'(x)=0

12x^2-72x+77=0

Solve by quadratic formula,

x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}

x=4.607,1.392

Derivate again w.r.t x,

V''(x)=24x-72

Now, V''(4.607)=24(4.607)-72=38.568>0 (+ve)

V''(1.392)=24(1.392)-72=-38.592 (-ve)

So, there is maximum at x=1.392.

The length of the box is l=11-2x

l=11-2(1.392)=8.216

The breadth of the box is b=7-2x

b=7-2(1.392)=4.216

The height of the box is h=1.392.

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is V=l\times b\times h

V=8.216\times 4.216\times 1.392

V=48.217\ in.^3

The volume of the box is 8.217 cubic inches.

5 0
3 years ago
Plzzzzz Answer this its some easy points, I'm legit just dumb.<br><br> Answer both questions.
Liono4ka [1.6K]

Answer:

A) Each of the smaller donations is $20.

B) The larger donation is greater than the smaller donations by $15.

Step-by-step explanation:

4+4+7 is equal to 15, and divide 75 by 15 to get $5 per part. Multiply 4 by 5 to get $20 for a smaller donation, and 7 by 5 to get $35 for the larger donation. Hope this helped :)

7 0
3 years ago
Read 2 more answers
Fatima has a car detailing service. She charges $15.00 for a vacuum,
irina1246 [14]

Answer:

1

Step-by-step explanation:

Answer is B

B. 105

Hope this helps

3 0
2 years ago
After spending 5/9 of his money, David has<br>$36 left. How much money did he have at first?​
liq [111]
81 dollars at first
8 0
2 years ago
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