All categories

3 years ago

What is the cost of each chicken and what is the cost of each duck

Mathematics

2 answers:

zimovet [89]3 years ago

7 0

Answer: $8 chicken $5 duck

Step-by-step explanation:

50x+30y=550

x=8

y=5

400+150=550

uysha [10]3 years ago

4 0

Answer:

Each Chicken costs $8 and each duck costs $5

Step-by-step explanation:

Say chicken is c and duck is d

50c + 30d = $550 ........................eqn 1

44c + 36d = $532 .........................eqn 2

Multiply eqn 1 by 44 and eqn 2 by 50, we will have

(50c + 30d = $550) × 44

(44c + 36d = $532) × 50

2200c + 1320d = $24200 ...........eqn 3

2200c + 1800d = $26600 ...........eqn 4

Subtract eqn 3 from eqn 4 and we will have

480d = $2400

Dividing all through by 480 and we will have

d = $2400/480

d = $5

Which means each duck costs $5

To calculate the cost of chicken, substitute $5 for d in any of the eqns

50c + 30d = $550

50c + 30($5) = $550

50c + $150 = $550 , collect like terms and we will have

50c = $550 - $150

50c = $400 divide both sides by 50, and we will have

c = $8

Therefore chicken costs $8 each

You might be interested in

What is 0.26 repeating made into a decimal

Savatey [412]

It already is a decimal unless you mean a repeating decimal, it would be .26 with a line over the number.

3 0

3 years ago

(15 pts) 4. Find the solution of the following initial value problem: y"-10y'+25y = 0 with y(0) = 3 and y'(0) = 13

jolli1 [7]

Answer:

$y(x)=3e^{5x}-2xe^{5x}$

Step-by-step explanation:

The given differential equation is $y''-10y'+25y=0$

The characteristics equation is given by

$r^2-10r+25=0$

Finding the values of r

$r^2-5r-5r+25=0\\\\r(r-5)-5(r-5)=0\\\\(r-5)(r-5)=0\\\\r_{1,2}=5$

We got a repeated roots. Hence, the solution of the differential equation is given by

$y(x)=c_1e^{5x}+c_2xe^{5x}...(i)$

On differentiating, we get

$y'(x)=5c_1e^{5x}+5c_2xe^{5x}+c_2e^{5x}...(ii)$

Apply the initial condition y (0)= 3 in equation (i)

$3=c_1e^{0}+0\\\\c_1=3$

Now, apply the initial condition y' (0)= 13 in equation (ii)

$13=5(3)e^{0}+0+c_2e^{0}\\\\13=15+c_2\\\\c_2=-2$

Therefore, the solution of the differential equation is

$y(x)=3e^{5x}-2xe^{5x}$

5 0

3 years ago

Write these numbers in order of size.<br> Start with the smallest number.<br> 52 102 25 120 55

Anton [14]

The answer is 25 52 55 102 120

8 0

3 years ago

Read 2 more answers

Charlie and Daniella each began a fitness programme. On day one, they both ran 500m. On each subsequent day, Charlie ran 100m mo

alukav5142 [94]

Answer:

a) 2400m on the 20th day for Charlie.

1) 728.41m of 20th day for Daniella.

Didn't find n, sorry.

8 0

3 years ago

Which expressions simplify to a rational answer? <br> Select each correct answer

taurus [48]

Answer:

first and last one

Step-by-step explanation:

first one would be 12 and last one is 10

7 0

3 years ago