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tatuchka [14]
3 years ago
6

Please help me solve this maths problem ☺

Mathematics
1 answer:
Misha Larkins [42]3 years ago
6 0
Lets
h =# of hens in the filed and c = # of cows in the field

hens and cows have 50 heads
h + c = 50 (1)

hens and cows have 180 legs (hen has  2 legs and cow has 4 legs)
2h + 4c  = 180 (2)

From equation (1) h + c = 50 ----> h = 50 - c

substitute h = 50 - c into 2h + 4c  = 180 (
2h + 4c  =180 
2(50 - c) + 4c = 180
100 - 2c + 4c = 180
2c = 180 - 100
2c = 80
  c = 40

2h + 4(40)  = 180
2h + 160 = 180
2h = 20
  h = 10

answer
hens = 10 and cows = 40

double check:
heads: 10 hens + 40 cows = 50 total
legs:10(2) + 40(4) = 20 + 160 = 180

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B) Find the value of (2.63 - 0.87) – 2.076
Tasya [4]

Answer:

-0.316

Step-by-step explanation:

2.63-0.87-2.076

=-0.316

Hope it helped!

5 0
3 years ago
Does anyone know this ?
MatroZZZ [7]

Answer:

Are you taking a computer scored test?


4 0
4 years ago
Which value is equivalent to 48 ÷ ((2 + 6) × 2) − 1? A) -12 B) 2 C) 3 1 5 D) 3
timama [110]

Answer:

B) 2

Step-by-step explanation:

Given expression,

48 ÷ ((2 + 6) × 2) − 1

In simplification we follows the following order,

B = Bracket

O = Of

D = Division

M = Multiplication

A = Addition,

S = Subtraction,

Thus, steps of solving the given expression by following BODMAS are as follow,

\frac{48}{(2 + 6) \times 2}-1

=\frac{48}{8\times 2}-1

=\frac{48}{16}-1

=3-1

=2

Hence, OPTION B is correct.

6 0
4 years ago
Complete the square to find the minimum value of the expression 4x2 + 8x + 23.
Tcecarenko [31]
So you need to come up with a perfect square that works for the x coefficients.
like.. (2x + 2)^2
(2x+2)(2x+2) = 4x^2 + 8x + 4
Compare this to the equation given. Our perfect square has +4 instead of +23. The difference is: 23 - 4 = 19

I'm going to assume the given equation equals zero..

So, If we add subtract 19 from both sides of the equation we get the perfect square.

4x^2 + 8x + 23 - 19 = 0 - 19
4x^2 + 8x + 4 = - 19
complete the square and move 19 over..
(2x+2)^2 + 19 = 0
factor the 2 out becomes 2^2 = 4
ANSWER: 4(x+1)^2 + 19 = 0

for a short cut, the standard equation
ax^2 + bx + c = 0 becomes a(x - h)^2 + k = 0
Where "a, b, c" are the same and ..
h = -b/(2a)
k = c - b^2/(4a)

Vertex = (h, k)
this will be a minimum point when "a" is positive upward facing parabola and a maximum point when "a" is negative downward facing parabola.


3 0
3 years ago
An initial investment of $350 is worth $429.20 after six years of continuous compounding. Find the
ValentinkaMS [17]

Answer:

Interest Rate : 0.0346 or 3.46%

Step-by-step explanation:

• 429.2=350*(1+x)^6

• 429.2/350= (1+x)^6

•(429.2/350)^(1/6)= 1+x

•(429.2/350)^(1/6)-1= x

Check work:

350*(1+0.0346)^6=429.2

4 0
3 years ago
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