Jane is asked to buy some chickens, dogs and ducks for her farm. The total number of animals she needs to buy is 50. She has a budget of $1500 to spend on $20/chicken, $50/dog, and $30/duck. Additionally, the number of chickens should be equal to that of ducks. Create a system of 3 equations to model the situation. Assume the number of chickens is x, dogs is y and ducks is z.

Answers

Answer 1

Answer:

x = 20, the number of chickens as well as the number of ducks.

........

20 chickens, 20 ducks and 10 Dogs 50-20-20

And...checking

$400 + $600 + $500 = 1500

x the number of chickens as well as the number of ducks

20x + 30x + 50(50-2x) = $1500

-50x = -1000

Step-by-step explanation:

Hope this helps

Answer 2

The system of 3 equations to model the situation are;

x + y + z = 50

20x + 50y + 30z = 1500

x = z

How to write equation?

number of chickens = xnumber of dogs = ynumber of ducks = zcost of each chicken = 20cost of each dog = 50cost of each duck = 30Total cost = 1500Total number of animals = 50

The equation:

x + y + z = 50

20x + 50y + 30z = 1500

number of chicken = number of ducks

x = z

Therefore, the equations are;

x + y + z = 50

20x + 50y + 30z = 1500

x = z

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Related Questions

On August 1, Stacy had a debt of $43 in her checking account. After depositing $75 from her paycheck on August 15, what is her new account balance?

Answers

Answer:

32!

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

debt= -43

paycheck= 75

-43 + 75 = 32

An author only uses the author's craft when they are writing non-fiction texts. (Easy question for easy points)

Answers

Answer:

What he said

Step-by-step explanation:

Is this a true or false???

Asa spent $165.20 on 5 video games. If the video games each cost the same amount, how much did one video game cost?

Answers

Answer:

the answer is $33.04

Step-by-step explanation:

since the total cost was $165.20 and we need to find the cost of one  video game we will divide the the total ($165.20) with 5 video games and you will get $33.04

Given x∥y and m∠3=124° .

What is m∠8?

Enter your answer in the box.

m∠8 = ____°

Answers

Answer:

56

Step-by-step explanation:

I got this wrong but this is the answer

Given f(x)2x and g(x) = x^2+3 , find f(g(x)).

Answers

Answer:

2x^2 + 6.

Step-by-step explanation:

Replace the x in f(x) by g(x):

f(g(x)) = 2(x^2 + 3)

= 2x^2 + 6.

Jolie uses childcare facilities at her gym. Her monthly dues are $32, and childcare is $9 per visit this month she does not wish to spend more than $122 for both dues and childcare. If x represents the number of times she can use childcare services
Which of the following inequalities symbolizes this situation?
x

Answers

Answer:

A

Step-by-step explanation:

Let x= number of visits she makes

9(number of visits she makes) + 32 (less than or equal to) <= 122

9x+32<= 122

an expression for 4 times the sum of 14 and 26

Answers

The expression would be:

4(14+6)

Answer:

4 (14+26)

Step-by-step explanation:

there is no need to use 4x (14+26)

Please ASAP What is the remainder when x3−2x2−51x−108 is divided by x−2?

Answers

Answer:

[tex]-210[/tex]

Step-by-step explanation:

We have the function:

[tex]f(x)=x^3-2x^2-51x-108[/tex]

And we want to find the remainder when it is divided by [tex](x-2)[/tex].

We can use the Polynomial Remainder Theorem, where if we have a function [tex]f(x)[/tex] divided by a binomial [tex](x-a)[/tex], then our remainder will be [tex]f(a)[/tex].

Here, our divisor is [tex](x-2)[/tex], so our a is 2.

Therefore, our remainder will be [tex]f(2)[/tex]. Let's substitute this for x. This yields:

[tex]f(2)=(2)^3-2(2)^2-51(2)-108[/tex]

Evaluate. Do the exponents:

[tex]f(2)=8-2(4)-51(2)-108[/tex]

Multiply:

[tex]f(2)=8-8-102-108[/tex]

Subtract:

[tex]f(2)=-210[/tex]

So, our remainder is -210.

And we're done!

The shape of a sample distribution is approximately

Answers

Answer:

A theorem that explains the shape of a sampling distribution of sample means. It states that if the sample size is large (generally n ≥ 30), and the standard deviation of the population is finite, then the distribution of sample means will be approximately normal.

Step-by-step explanation:

google

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On a certain day, the temperature in Seattle was -1ºC and the temperature in Houston was 18ºC. How many degrees lower was the temperature in Seattle?

Answers

Answer:

19.C

Step-by-step explanation:

You must subtract -1 -18.C then you would get your answer, 19.C

What is the value of the quantity 48−624?

Answers

Answer:

586

Step-by-step explanation:

If you mean 624-48=586

You are given space that limit as h rightwards arrow 0 of fraction numerator g (3 + h) - g (3)/h = 7 and g (3) = 9. Find m and b so that the tangent space line of g (x) at x = 3, y = m x +b.

Answers

Answer:

m = 7 and b = -12 therefore y = 7x - 12

Step-by-step explanation:

From the question we are given the first derivative of the function g to be 7, and it is known that the first derivative of a function is the slope, therefore the slope, m = 7.

Since we are looking for 'b' at x = 3 and we know that our slope is 7, we have:

g(3) = 7*3 + b. We are given g(3) = 9 so we have:

9 = 21 + b and b = -12.

Therefore, m = 7 and b = -12 and the equation of the line is y = 7x - 12.

The sum of 14 and which number will equal -3

Answers

Answer:

-17

Step-by-step explanation:

-3-14 = -17

-17 + 14 = -3

HURRY! PLEASE HELP!!! 3 times a number plus 5 is at least -10 and less than 26

Answers

Answer:

-5<x<7.

Step-by-step explanation:

let the number be represented by 'x'

3x + 5 > -10 < 26

-10<3x+5<26

-10 < 3x +5

-10 -5 < 3x

-15< 3x

-15÷3 < x

-5 < x

and

3x+5 < 26

3x<26-5

3x < 21

x < 21÷3

x< 7

answer is -5<x<7

Answer:

[⁵/3,7[

Step-by-step explanation:

10 ≤ 3x + 5 < 26

10-5 ≤ 3x < 26-5

⁵/3 ≤ X <7

[ 5/3 , 7 [

THIS IS DUE IN 1 HOUR I WILL MARK BRAINLIEST
Jack has 24 game cards. He divides them between his brother, his sister, and himself in the ratio 2:1:5. How many cards does each get?
THERE IS 15 POINT WAITING FOR YOU

Answers

Answer:

brother gets 6 cards

sister gets 3 cards

he gets 15 cards

Answer:

8

Step-by-step explanation:

Which equation is equivalent to the equation 7y + 6 = 34?

Answers

Answer:

y = 4

Step-by-step explanation:

You are solving for the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

Isolate the variable, y. First, subtract 6 from both sides of the equation:

7y + 6 (-6) = 34 (-6)

7y = 34 - 6

7y = 28

Next, divide 7 from both sides:

(7y)/7 = (28)/7

y = 28/7 = 4

y= 4 is one of the equivalent equations that can answer this question.

~

MP bisects ∠BMS. If m∠BMP = 2x + 9 and m∠BMS = 7x – 3, find the value of m∠PMS

Answers

Answer:

Step-by-step explanation:

If MP bisects ∠BMS, then the line MP divides <BMS equally;

The adition postulate if therefore true;

<BMP +< PMS = <BMS and <BMP = < PMS

The equation becomes;

<BMP +< BMP= <BMS

2 <BMP = <BMS

2(2x+9) = 7x - 3

4x+18 = 7x-3

collect like terms

4x-7x = -3-18

-3x = -21

x = 21/3

x = 7

Since <BMP = < PMS 2x+9

< PMS = 2(7)+9

< PMS = 14+9

< PMS = 23

Hence the value of < PMS is 23

Joe goes to the store with $15 to buy salad. Bags of pre-washed salad on sale for $2 each. What are the possible numbers of bags joe can buy?​

Answers

Answer:

7

Step-by-step explanation:

15/2= 7.5

he can't buy a half bag so it's 7 bags

I WILL MARK BRIANLyEST

Jose needs to know if the triangle shown is a right triangle. Which equation should he use to help?



Group of answer choices

11 + 5 = 13

Square root of 5 dived by square root of 11= square root of 13

5^2+11^2=13^2
5^3-11^2=13^2

Answers

Step-by-step explanation:

5^2+11^2=13^2 is the answer. However, once you add the 25 and 121 together(the squares of 5 and 11), which is 146, you then need to square root the 146 to get C.

Answer:

11² + 5² = 13²

Step-by-step explanation:

use the Pythagorean

a² + b² = c²

11² + 5² = 13²

i need answers , pls !!

Answers

abcdefghijklmnopqrstuvwxyz

Easy 7th grade math help me plz

Answers

Answer:  -1

....................

pasagot po salamat sa mga tutulong​

Answers

Answer: 15

Step-by-step explanation:

1+1

2+2

3+3

4+4

Calculate the sum of the first 100 numbers. (Try to find the shortest way.)

Answers

Answer:

The number series 1, 2, 3, 4, . . . . , 99, 100. Therefore, 5,050 is the sum of positive integers upto 100.

Step-by-step explanation:

The sum of the numbers 1-100 would be equal to the number of pairs (50) multiplied by the sum of each pair (101), or 50 x 101 = 5,050.

Write a division equation to represent this model

Answers

6/8divided by 3/4 I believe i hope this is right

Answer:

see below

Step-by-step explanation:

6/8 of 8 equal parts = 6

3/4 of 4 equal parts  = 3

8 • 6 + ( 12 - 4 ) divided 2

Answers

Answer:

28

Hope this helps

х
3
3
Right triangle similarity
What is the value of x

Answers

Answer:

21

Step-by-step explanation:

The length of the other leg (x) is 12 cm.

We have,

To find the length of the other leg, we can use the Pythagorean theorem.

Using this theorem, we can set up the following equation:

x² + 5² = 13²

Simplifying the equation:

x² + 25 = 169

Subtracting 25 from both sides:

x² = 144

Taking the square root of both sides:

x = ±12

Since length cannot be negative in this context, the length of the other leg (x) is 12 cm.

Thus,

The length of the other leg (x) is 12 cm.

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The complete question:

In a right triangle, the length of one of the legs is 5 cm, and the length of the hypotenuse is 13 cm.

What is the length of the other leg, represented as x?

round 2.294 to nearest hundredth​

Answers

Answer:

The answer is 2.29 !

Step-by-step explanation:

To round 2.294 to the nearest hundredth means to round the numbers so you only have two digits in the fractional part. We use the following rules to round 2.294 to the nearest hundredth: A) If the last digit in the fractional part of 2.294 is less than 5, then simply remove the last the digit of the fractional part

Refer to the table above. Which event is independent of gender?

a randomly chosen voter is Democrat
a randomly chosen voter is Other
a randomly chosen female voter is Other
a randomly chosen voter is Republican

Answers

Answer:

A randomly chosen female voter is Other.

Step-by-step explanation:

Well, you just have to read it and ask yourself which one is specific to only one gender, or which one talks about only one gender, so the answer here is:

A randomly chosen female voter is Other.

Answer:

a randomly chosen voter is other

Step-by-step explanation:

because the answer above is wrong and this is right :)

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

it should be C

Step-by-step explanation:

Siri round each number to the place of the underlined digit 7.158 The underlined number is five

Answers

the answer is 7.160 !!
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