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inna [77]
3 years ago
14

Last month, he sold 50 chickens and 30 ducks for $550. This month, he sold 44 chickens and 36 ducks for

Mathematics
2 answers:
STALIN [3.7K]3 years ago
6 0
Answer: chicken $8, duck $5

Explanation:

x - the cost of a chicken
y - the cost of a duck

he sold 50 chickens and 30 ducks for $550: 50x + 30y = 550
he sold 44 chickens and 36 ducks for $532: 44x + 36y = 532

50x + 30y = 550                divide by 10
44x + 36y = 550                 divide by 4
______________
50x/10 + 30y/10 = 550/10
44x/4 + 36y/4 = 532/4
______________
5x + 3y = 55                                    
Multiply by (-3)
11x + 9y = 133
______________
5x * (-3) + 3y * (-3) = 55 * (-3)
11x + 9y = 133
______________
-15x - 9y = -165
11x + 9y = 133
______________
Sum up:
-4x + 0y = -32
-4x = -32
x = -32/-4
x = 8

Since 5x + 3y = 55  and x = 8, then:
5 * 8 + 3y = 55
40 + 3y = 55
3y = 55 - 40
3y = 15
y = 15/3
y = 5
nadezda [96]3 years ago
3 0
The chicken is 8$ and the duck is 5$
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Mark the statements that are true.
lara [203]

Answer:

Correct answers:

A. An angle that measures \frac{\pi}{6}  radians also measures  30^o

C. An angle that measures 180^o  also measures \pi  radians

Step-by-step explanation:

Recall the formula to transform radians to degrees and vice-versa:

\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\  \\\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians

Therefore we can investigate each of the statements, and find that when we have a \frac{\pi}{6}  radians angle, then its degree formula becomes:

\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians\\\angle\,degrees=\frac{180^o}{\pi} \,* \,\frac{\pi}{6} \\\angle\,degrees=\frac{180^o}{6} \\\angle\,degrees=30^o

also when an angle measures 180^o  , its radian measure is:

\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\\angle\,radians=\frac{\pi}{180^o} \,* \,180^o\\\angle\,radians=\pi

The other relationships are not true as per the conversion formulas

7 0
3 years ago
According to the graph, what is the experimental probability of selecting the letter E?
Daniel [21]

The experimental probability of letter E is: 3/25

Step-by-step explanation:

The given diagram is the number of outcomes for each letter is given

We have to find the total number of outcomes for finding the experimental probability of letter E

So,

Total outcomes = n(S) = 5+12+8+10+6+9 = 50

Number of outcomes for Letter E = n(E) = 6

So the experimental probability will be:

P(E) = \frac{n(E)}{n(S)}\\\\=\frac{6}{50}\\\\= \frac{3}{25}

Hence,

The experimental probability of letter E is: 3/25

Keywords: Probability, experimental probability

Learn more about probability at:

  • brainly.com/question/10610299
  • brainly.com/question/10688256

#LearnwithBrainly

7 0
3 years ago
Find the distance between the points (0, 10) and (–9, 1).
Assoli18 [71]
D=sqrt[(x1-x2)^2+(y2-y1)^2]
(0,10) x1=0 y1=10 and (-9,1) x2=-9 y2=1
now d=sqrt[(-9-0)^2+(1-10)^2]=12.72792206 units
6 0
3 years ago
Okay, I'm going to be adding more but what is 4/10 x 3?
Marat540 [252]

Answer:

6/5 or 1 1/5

6/5 is an improper fraction, so I didnt know if youd need an improper one or a proper one. They both are the same thing though :)

Step-by-step explanation:

4/10*3

They both need to be a fraction, and any number over 1 = that number. So,

4/10*3/1

4*3=12

10*1=10

12/10

Then, you have to simplify the fraction.

6/5 (bc 2 goes into 12 6 times and 2 goes into 10 5 times)

or 1 2/10= 1 1/5

Hope this helps. Plz give brainliest. Also, plz sub to Kgirl633 on yt.

4 0
2 years ago
Read 2 more answers
The amusement park sells both adult and child tickets. 4 adult tickets are sold for every 9 child tickets. if the park sells 312
sweet [91]
216= child tickets
96= adult tickets
8 0
3 years ago
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