All categories

4 years ago

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

Mathematics

2 answers:

zimovet [89]4 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]4 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

The volume of a sphere is 2 comma 143.57 m cubed. To the nearest meter, what is the radius of the sphere? Use 3.14 for pi.

miskamm [114]

$\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ \cline{1-1} V=2,143.57 \end{cases}\implies 2143.57=\cfrac{4\pi r^3}{3}\implies 6430.71=4\pi r^3 \\\\\\ \cfrac{6430.71}{4\pi }=r^3\implies \sqrt[3]{\cfrac{6430.71}{4\pi }}=r\implies \stackrel{\pi =3.14}{7.9999956 \approx r}\implies \stackrel{\textit{rounded up}}{8=r}$

7 0

3 years ago

Walter has 1/4 of a yard of string. He used 3/5 of it on a school project. How much string did he use?

zalisa [80]

Answer:

3/20 or .15

Step-by-step explanation:

You need to find 3/5 of 1/4, so you need to multiply

3/5*1/4= 3/20

3/20 or .15

3 0

3 years ago

According to a weather report, there is a 11% chance it will rain tomorrow. What is the probability that it will not rain tomorr

Tema [17]

Answer:

89%

Step-by-step explanation:

there are only 2 possibilities rain and no rain

so 100%-11%

3 0

2 years ago

Read 2 more answers

hi:) I’m not sure if this is correct. For the justifying part , must I still use the discriminant or can I just say that since t

labwork [276]

You did it right (almost, I got 21 instead of 19) but didn't finish. You need to show your discriminant is never negative.

x² + (p+1)x = 5-2p

x² + (p+1)x +(2p-5) =0

Real roots mean a positive (or at least non-negative) discriminant:

D = b² - 4ac = (p+1)² - 4(1)(2p - 5) = p² + 2p + 1 - 8p + 20

D = p² - 6p + 21

It's not totally obvious that D>0; we prove that by completing the square by noting

(p-3)² = p² - 6p + 9

p² - 6p = (p-3)² - 9.

D = p² - 6p + 21

D = (p-3)² - 9 + 21

D = (p-3)² + 12

Now we clearly see D>0 always because the squared term can't be negative, so D is always at least 12. We always get two distinct real roots.

3 0

3 years ago

Which of the following pairs of functions are inverse of each other ?

pshichka [43]

One way is to solve for the invers of the first function
remembe, to solve, replace f(x) or g(x) with y, switch x and y, solve for y and replace it with f⁻¹(x)

A.
f(x)=x/2+8
y=x/2+8
x=y/2+8
x-8=y/2
2x-16=y
f⁻¹(x)=2x-16
nope, not A

B.
f(x)=3x³+16
y=3x³+16
x=3y³+16
x-16=3y³
(x-16)/3=y³
∛((x-16)/3)=y
f⁻¹(x)=∛((x-16)/3)
nope, not the same
not B

C.
f(x)=18/x-9
y=18/x-9
x=18/y-9
x+9=18/y
y(x+9)=18
y=18/(x+9)
f⁻¹(x)=18/(x+9)
correct, the answer is C

answer is C

5 0

3 years ago

Read 2 more answers