Old Mc Donald raises ducks and cows. The animals have a total of 100 heads and 354 feet. How many ducks and how many cows does Old Mc Donald have?

Answers

Answer 1

Answer:

The number of ducks Old Mc Donald raises are 23 and the number of cows Old Mc Donald raises are 77.

Step-by-step explanation:

We are given that Old Mc Donald raises ducks and cows. The animals have a total of 100 heads and 354 feet.

Let the number of ducks Old Mc Donald raises be 'x' and the number of cows Old Mc Donald raises be 'y'.

So, according to the question;

The first condition states that the animals have a total of 100 heads, that means;

                                   [tex]x+y=100[/tex]

                                    [tex]x=100-y[/tex]  -------------------- [equation 1]

{because one head of a duck and one head of cow}

The second condition states that the animals have a total of 354 feet, that means;

                                   [tex]2x+4y=354[/tex]

                                   [tex]x+2y=177[/tex]   --------------- [equation 2]

{because there are two feet of a duck and four feet of cow}

Now, putting the value of x in equation 2 we get;

                                  [tex]100-y+2y=177[/tex]

                                  [tex]y=177-100[/tex]

                                    y = 77 cows

Putting this value of y in equation 1 we get;

                                 x = 100 - y

                                 x = 100 - 77 = 23 ducks

Hence, the number of ducks Old Mc Donald raises are 23 and the number of cows Old Mc Donald raises are 77.


Related Questions

If the ratio of blue marbles to red is 9:4 what is possible number of blue and red marbles in the jar

Answers

Answer:

13

Step-by-step explanation:

13 right? all ya gotta do is add em together right?

It costs $13 to rent a canoe and $5.50 to use the canoe for an hour. You have $29.50. Write an equation that represents the number $h$ of hours you can rent the canoe.

Answers

Answer:

Step-by-step explanation:

The base number is 13 dollars since you must pay it before adding hourly expenses.

Every hour, you have to pay 5.50.

So, the total cost would equal:

29.50 - (13 + 5.5h) < 29.50

Think: you have 29.50. you must pay 13 dollars before using it. it costs 5.50 for each hour. your money must be less than your total.

Hope this helped :)

The quotient of two integers with same sign is always . The quotient of two integers with different signs is always .

Answers

Answer:  When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive. When you divide two integers with different signs, the result is always negative.

Step-by-step explanation:

Answer:

positive

negative

Step-by-step explanation:

Sally is making masks for her family. Her pattern calls for a rectangle that is 9 x 14. If one yard of fabric is 36 x 42 (after the salvage edge is removed), how many masks can she make from one yard of fabric? If her fabric was on sale for $3.00 per yard, what is the fabric cost of one mask? If her fabric is regularly priced at $9.00 per yard, what is the fabric cost of one mask? Answer: Number of masks: Cost using discount fabric: $ Cost using regular priced fabric:

Answers

Answer:

how many masks can she make from one yard of fabric?

the maximum she can obtain is 4 (9 x 4 = 36) x 3 (14 x 3 = 42) = 12 masks from one yard of fabric.

If her fabric was on sale for $3.00 per yard, what is the fabric cost of one mask?

the fabric cost of 1 mask at a discount price = $3 / 12 = $0.25 per mask

If her fabric is regularly priced at $9.00 per yard, what is the fabric cost of one mask?

the fabric cost of 1 mask at regular price = $9 / 12 = $0.75 per mask

Human blood contains red blood cells, white blood cells, and platelets. The table shows the sizes of
these components. Simplify each expression
Blood Components
Part
Size (m)
Red blood cell
White blood cell
125,000-1
3(500)-2
3(1,000)-2
Platelet
Red blood cell:
m
White blood cell:
m
Platelet
m

Answers

Answer/Step-by-step explanation:

To simplify the given expressions that involves negative exponent, recall the law of exponents that deals with simplifying negative exponent.

Thus: [tex] a^{-x} = \frac{1}{a^x} [/tex]

Ally this rule in solving the given problem as follows:

Red blood cell = [tex] 125,000^{-1} = \frac{1}{125,000^1} = \frac{1}{125,000} = 0.000008 = 8*10^{-6} [/tex]

White blood cells = [tex] 3(500)^{-2} = 3(\frac{1}{500^2}) = 3(\frac{1}{250,000}) = 3*0.000004 = 0.000012 = 1.2*10^{-5} [/tex]

Platelet = [tex] 3(1000)^{-2} = 3(\frac{1}{1,000^2}) = 3(\frac{1}{1,000,000}) = 3*0.000001 = 0.000003 = 3*10^{-6} [/tex]

Juan added a set of parentheses and a set of brackets in the expression: 15: 3 x 5 + 4 x 8. Juan's expression has a value of 40. What is one way Juan could have written the grouping symbols?

Answers

Answer:

[tex][15: (3 \times 5) + 4] \times 8[/tex]

Step-by-step explanation:

First of all, let us have a look at the rule for solving brackets/parentheses/algebraic operations.

The rule states that the expression must be solved in the following order:

B - Brackets (Innermost parentheses first, then the enclosing brackets are solved)

O - Of (for example 10% of 20)

D - Divide operation

M - Multiplication operation

A - Addition operation

S - Subtraction operation

So, we need to add a set of parentheses i.e. () and a set of brackets i.e. [] in the expression:

[tex]15: 3 \times 5 + 4 \times 8[/tex] such that the result is 40.

Consider the expression: [tex][15: (3 \times 5) + 4] \times 8[/tex]

Let us try to solve the expression using the above rule:

[tex][15: (3 \times 5) + 4] \times 8[/tex]

First of all, the innermost () will be solved:

[tex](3\times 5) = 15[/tex]

Now, the expression becomes:

[tex][15: 15 + 4] \times 8[/tex]

Now, 15:15 will be solved as 1

[tex][1+ 4] \times 8[/tex]

Now, the outer [] will be solved:

[tex]5\times 8 = 40[/tex]

Hence, the correct answer is:

[tex][15: (3 \times 5) + 4] \times 8[/tex]

Solve for x if 6(X + 3) = 36 *

Answers

Answer:

6( X + 3 ) = 36

6X + 18 = 36

6X = 36 - 18

X = 18 ÷ 6

X = 3

Thus, the value of X is 3.

Hope it helps,

Thank You.

Answer:

Step-by-step explanation:

6x +18=36

6x+18-18=36-18

      6x=18

6x divide by 6 =18 divide 6

                       x=3

hope this helps please mark brainliest

Change from percent to decimal 30% ?

Answers

Convert to a fraction, then convert to a decimal by dividing the numerator by the denominator.

0.3

There are 180 students enrolled in our school. 2/3 of the students are girls. How many students are boys?

Answers

Answer: 60

Step-by-step explanation: 1/3 of 180= 60

PLS ANSWER ASAP I WILL MAKE YOU BRAINLIEST ( Number 10.)

Answers

Answer:

x=160°

since the sum of angles of the shape measures 540°

by summing up the values, we have

3x=480 divide both sides by 3

x=160°

Answer:

160°I hope i am not too late

Step-by-step explanation:

[tex]Sum\:of\:angles\: = 540\\\\\frac{1}{2}x +\frac{1}{2} x +(x-15)+(x-25)+100=540\\\\=\frac{1}{2}x+\frac{1}{2}x+x-15+x-25+100=540\\\\Group\: like \:terms\\\frac{1}{2}x+\frac{1}{2}x+x+x-15-25+100=540\\\\Add\:similar\:elements \::\frac{1}{2}x+\frac{1}{2}x=2\times\frac{1}{2}x\\2\times\frac{1}{2}x+x+x-15-25+100=540\\\\Simplify\\x+2x-15-25+100=540\\Simplify\\3x +60 = 540\\\\3x = 540-60\\3x = 480\\Divide \:both\:sides\:of\:the\:equation \:by\:3\\\\\frac{3x}{3} = \frac{480}{3}\\ x =160[/tex]

How many integers at between 15 and 63?

Answers

Answer:

48

Step-by-step explanation:

63-15=48

Answer:

48

Step-by-step explanation:

You are going to subtract 63 from 15 becasue intergers are whole numbers so just subtract to find what is in between.

a store is having a sale on almonds and jellybeans for 2 pounds of almonds and 3 pounds of jellybeans the total cost is $15 for 6 pounds of almonds and 5 pounds of jellybeans total total cost is $35 find the cost of each pound of almonds and each pound of jellybeans

Answers

Answer:

$5.50 + $10.50 = $16

Step-by-step explanation:

6a + 5b = $34

2a + 3b = $16

...Solving by elimination

6a + 5b = 34

-3(2a + 3b = 16)

-4b = -14

b = 14/4 0r $3.50, cost of each pound of jelly beans.

a,cost of each pound of almonds = $2.75  %2816-+3%283.50%29%29%2F2+=+2.75

...checking Using:

2a + 3b = $16

$5.50 + $10.50 = $16

In Russel Elementary School there are 50 students. At the beginning of the year, each student planted three flowers in the school yard. During the year, eight flowers withered. Which of the following expressions represents the number of flowers that remained in the school yard? A. (3 × 50) – 8 B. (50 + 3) – 8 C. (50 × 8) – 3 D. (50 × 3) ÷ 8

Answers

Answer:

option A is correct answer

Im not good at this..... please help

Answers

Answer:

B. Dependent Events

Step-by-step explanation:

Two events are dependent if the outcome of the first event affects the outcome of the second event, so that the probability is changed.

Christiana works at Texas Road House and makes $50 each night in tips plus $7.50 per hour. Write a function rule in function notation where M is the total money she makes and h is the number of hours she works in one night.

Answers

Answer: [tex]M = 50 + 7.50 h[/tex]

Step-by-step explanation:

As per the given scenario,

Total money Christina made = (Money she made in tips) + (Per hour wage ) x (Number of hours she work in one night)   (i)

Let M is the total money she makes and h is the number of hours she works in one night.

Here, Money she made in tips = $ 50

Per hour wage = $7.50

So substitute all the values in (i), we get

[tex]M = 50 + 7.50 h[/tex]

Hence, the required function is [tex]M = 50 + 7.50 h[/tex].

Fandango has movie tickets on sale for 1\2 price. You buy 2 $12 tickets and you must pay 6% sales tax. What is your total cost after discount and taxes?​

Answers

Answer:

$12.72 or $25.44

Step-by-step explanation:

if he buys 2 tickets that are $12 each. half of 12 is 6 so you will have to pay 12 plus tax(6%). to find tax you would multiply 12 x .06 which would be $12.72. if it say the tickets are half off from $24 being $12 each then the answer would be $25.44. the question  dosent specify that.

hope i helped

Solve for z in the literal equation 3/4(z+7)=y

Answers

Answer:

Below

Step-by-step explanation:

● (3/4)×(z+7) = y

Divide both sides by (3/4)

● (3/4)÷(3/4)×(z+7) = y÷(3/4)

● 1×(z+7) = y ÷(3/4)

● (z+7) = y ×(4/3)

● z+7 = 4y/3

Substract 7 from both sides

● z+7-7 = (4y/3)-7

● z = (4y/3)-7

This equation has infinite solutions. Every time you input a value you get a different solution.

(-6) x (-5)-2 (-6)x(-5-2)

Answers

Answer:

It will be -54X

What did the friend do wrong in this equation?

Answers

Answer:

4x + 2x = 90 NOT 180.

Step-by-step explanation:

x = 15 is the correct answer.

Very important algebra 2 question

Answers

Answer:

Left

Step-by-step explanation:

When x is being added to inside the parenthesis, it is being moved left.

Jane bought a package of paper priced at $1.98 and 2 pens priced at $0.49 each. The tax on the entire purchase was $0.18. What was the total cost of the items?

Answers

Answer:

The answer to this problem is $3.50

Step-by-step explanation:

is "how many students at your school play soccer" a statistical question

Answers

Answer:

At my school 20 people boys and girls play soccer

Bethany wants to estimate the value of (4.296 times 10 Superscript 11) (1.8614 times 10 Superscript negative 14). Which statement about the estimate is true?

Answers

Answer:

D. The number will be less than 1 because when adding the exponents,

11 + (-14) = -3, and a number in scientific notation with a negative exponent is less than 1.

Step-by-step explanation:

The question lacks appropriate option. Find the options below;

A. The value will be greater than 1 because 4.296 x 10^11 is a very large number and multiplication always increases the size of a number.

B. The value will be greater than 1 because 4 x 2 = 8 and 8 is larger than 1.

C. The value will be less than 1 because (4.296 x 10^11) x (1.8614 x 10^-14) will be a negative number. All negative numbers are less than one.

D. The number will be less than 1 because when adding the exponents,

11 + (-14) = 3, and a number in scientific notation with a negative exponent is less than 1.

Given the expression [tex](4.296*10^{11})(1.8614*10^{-14})[/tex], to expand the expression we will apply some of the law of indices below. If a, b and m are integers

[tex]a^m*a^n = a^{a+m}[/tex]

[tex]= (4.296*10^{11})(1.8614*10^{-14})\\\\= (4.296*1.8614)(10^{11}*10^{-14}) \\\\= 7.9965744 * 10^{11}*10^{-14}\\sum \ up \ the\ power\ of\ the \ exponents\\\\= 7.9965744 *10^{11-14}\\\\= 7.9965744 *10^{-3}\\[/tex]

= 0.0079965744

Based on the result, it can be seen that the resulting value is less than 1 due to the negative power of its exponent (i.e -3). Any scientific notation having a negative exponent always returns a value that is less than 1.

Answer:

The number will be less than 1 because when adding the exponents, 11 + (negative 14) = negative 3, and a number in scientific notation with a negative exponent is less than 1.

Step-by-step explanation:

Took the quiz (:

if 3/5 of the certain length is 210m then 5/7 of length is​

Answers

Answer:

250 m

Step-by-step explanation:

Let the total length be x m.

[tex] \therefore \: \frac{3}{5} \times x = 210 \\ x = 210 \times \frac{5}{3} \\ x = 70 \times 5 \\ x = 350 \: m \\ \\ \frac{5}{7} \times x = \frac{5}{7} \times 350 = 5 \times 50 = 250 \: m[/tex]

See the answer I have done it

Helpppppppppppppppppppppppppppppppppp

Answers

Answer:

c

Step-by-step explanation:

Answer:

C (I think)

Step-by-step explanation:

(Sorry in advanced. I haven't done this stuff in a while.)

It's basically asking for the numbers in between each number. Thing is that the symbols on each end makes all numbers positive. Looking at the graphs, there are none with all positives.

I'm very sorry if this isn't right but I believe its the correct answer. Tell me if it is!

Please hell will give branilest to the firstanswer s

Answers

Answer:

[tex]x=13[/tex]

Step-by-step explanation:

The perimeter of a rectangle is given by the formula:

[tex]P=2l+2w[/tex]

Where l is the length and w is the width.

We know that the perimeter is 80. Looking at the rectangle, we can also see that the length is 2x+3 while the width is x-2. Thus, make the substitutions:

[tex]P=2l+2w\\80=2(2x+3)+2(x-2)[/tex]

Distribute:

[tex]80=4x+6+2x-4[/tex]

Combine like terms and add:

[tex]80=6x+2[/tex]

Subtract 2 from both sides:

[tex]78=6x[/tex]

Divide both side by 6:

[tex]x=13[/tex]

Thus, the value of x is 13.

Answer:

x=39

Step-by-step explanation:


A study of the effect on the human digestive system of potato chips made
with a fat substitute

Answers

Answer:

Perform an experiment

Step-by-step explanation:

The experiments state that it is the test which is to be carried to confirm or refute the hypotheses they had about a specific subject. Therefore, the study findings will be based on the outcome of these experiments.

Now, according to the given situation, an analysis of the impact of potato chips on the human digestive system with fat replacement is refer to perform an experiment.

So, the right answer is to perform an experiment.

simplify 247+13 all the work please​

Answers

Answer:

247+13=260

Step-by-step explanation:

Point A is the pre-image of a vertex of a square and is located at (-10,8). The square is dilated with the center of dilation at the origin. Point A' is the image and is located at (-7.5,6). What is the scale factor of the dilation?

Answers

Answer:

the scale factor would be .75 or 3/4

Step-by-step explanation:

Answer:

the answer is .75

Step-by-step explanation:

What is the length of the distance between the two points of (6, -2) and (3, 4)? Answer options attached, DUE IN 2 HOURS and will give BRAINLIEST!

Answers

Answer:

[tex]\sqrt{45}[/tex]

Step-by-step explanation:

We can use the distance formula to find the distance between these two points. The distance formula is:

[tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

We know that x1 is 6, x2 is 3, y1 is -2, and y2 is 4, so we can substitute inside the equation.

[tex]\sqrt{(3 - 6)^2 + (4 - (-2))^2} \\\\\sqrt{-3^2 +6^2} \\\\\sqrt{9 +36}\\\\\sqrt{45}[/tex]

Hope this helped!

Other Questions
Suppose you invest today and receive in five years. a. What is the internal rate of return (IRR) of this opportunity? b. Suppose another investment opportunity also requires upfront, but pays an equal amount at the end of each year for the next five years. If this investment has the same IRR as the first one, what is the amount you will receive each year? a. What is the internal rate of return (IRR) of this opportunity? The IRR of this opportunity is 30.60%. (Round to two decimal places.) b. Suppose another investment opportunity also requires upfront, but pays an equal amount at the end of each year for the next five years. If this investment has the same IRR as the first one, what is the amount you will receive each year? The periodic payment that gives the same IRR is $ nothing. (Round to the nearest cent.) How does joeys behavior contribute to the mood (17 points and brainliest!) If the point (x, y) is in Quadrant IV, which of the following must be true? A. x > 0 and y 0 C. x > 0 and y > 0 D. x < 0 and y < 0 Mobile device apps that enable users to pay for things or check-in to hotels or venues use _________ technology. Select one: a. GPS b. GIS c. TCP/IP d. NFC 48=56+8b solve for b iff(x) = (x - 3)2for x = 3, then f-1(x) = ?AVX-3B.x+3Oa VX-3IN x + 3 The number 0.2 can be written as 2/10, so is it a rational number? What is the message in "A person who knows three languages is trilingual. "Someone who knows two languages is bilingual. "But do you know what they call a person who speaks only one language?" Pausing for a beat, Mr. Hafizov replied triumphantly to his own question, "American!" message? There are 4 chocolate chip cookies and 12 oatmeal cookies in a jar. If you reach in and randomly choose 2 cookies without replacing the first, what is the probability that both will be chocolate chip? 6 If Barcelona has a core staff of restaurant managers and head chefs and contracts with staffing agencies to fill all other positions, from accountants to dishwashers, then the company has a Pls check if these are correct. 1) If the following statement true or false? Explain your reasoning. All integers are rational numbers. (1 pt.) - The statement is false because 0 is an integer but cannot be written as the ratio of two integers - The statement is true because all numbers are rational numbers The statement is true because any integer x can be written in the for x/1, which is the ratio of two integers - The statement is false because 1/2 is a rational number but not an integer 2) Which of the following must describe an irrational number?(1 point) A number with a non repeating and non terminating decimal expansion - A number with a non terminating decimal expansion - A number with a non repeating decimal expansion - A number with a repeating or terminating decimal expansion 3)Which axiom is used to prove that the product of two rational numbers is rational?(1 point) - Natural numbers are closed under multiplication - Whole numbers are closed under division Integers are closed under multiplication - Integers are closed under division 4) Without calculating, how do you know the product 2/21 x 3/31 is rational? (1 point) - The product of any two positive numbers is rational. - When multiplying fractions, the product of two fractions is rational so long as both fractions are less than 1. Rational numbers are closed under multiplication, meaning that the product of rational numbers is rational. - When multiplying fractions. the product of two fractions is rational so long as both fractions are fully reduced 5) What rational number, when multiplied by an irrational number, has a product that is a rational number? (1 point) 1/2 - 1/10 - 0 - 1 Thx if you help In the U.S. Constitution, Article 1, Section 10 was written . A) so states conduct foreign policy B) to give states power to levy taxes C) to permit states to form agreements with one another D) so states can levy tariffs on imported goods The following information is available for Birch Company at December 31: Money market fund balance $ 2,910 Certificate of deposit maturing June 30 of next year $ 16,200 Postdated checks from customers $ 1,775 Cash in bank account $ 23,631 NSF checks from customers returned by bank $ 770 Cash in petty cash fund $ 320 Inventory of postage stamps $ 30 U.S. Treasury bill purchased on December 15 and maturing on February 28 of following year $ 11,200 Based on this information, Birch Company should report Cash and Cash Equivalents on December 31 of: Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $28 monthly fee and charges an additional$0.09 for each minute of calls. The second plan has no monthly fee but charges $0.13 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal? please help (20 points + brainlest) What is the slope? Look at the chart listed NEED HELP ASAP given m||n find the value of x please answer question with explanation How and why did slavery become more prominent in the Chesapake? The irrigation system for a farm sprays water in circular patterns. Each sprinkler is connected to a pipe in the center of a circle and rotates around that pipe. The largest sprinkler sprays water 20 feet. What is the circumference of the circle irrigated by this sprinkler?