There are a total of 10 pigs and ducks in the barn. There are 36 legs in all (each pig has four legs and each duck has two legs). Use substitution to solve the linear system of equations and determine how many pigs, x and ducks, y there are. Express the solution as an ordered pair (x,y).​

Answers

Answer 1

Answer: 8 pigs and 2 ducks.

1. (A) p + d = 10

2. (B) 4p + 2d = 36

3. Multiply equation (A) with -2; -2p minus -2d = -20

4. When subtracted from equation (B), this gives you.. 2p = 16, pigs = 8

5. Use this 8 to the second equation by substitution.. 2d = 4, ducks = 2


Related Questions

2/5 x 30 pls help me

Answers

Answer:

12

Step-by-step explanation:

Answer:

The answer is 12.

I need help with this question.​

Answers

9514 1404 393

Answer:

  1.13 feet

Step-by-step explanation:

We know that the sine relation is ...

  Sin = Opposite/Hypotenuse

so the length (L) of the ramp surface will be ...

  sin(angle) = 2/L

  L = 2/sin(angle)

For 18°, the ramp length will be about ...

  L = 2/sin(18°) ≈ 6.472 . . . . feet

For 22°, the ramp length will be about ...

  L = 2/sin(22°) ≈ 5.339 . . . . feet

The difference in lengths is about ...

  6.472 -5.339 = 1.133 ≈ 1.13 . . . . feet

(fractions) 3/4 + 1/5

Answers

Answer:

19/20

Step-by-step explanation:

write all numerators above the least common denominator 20

15+4/20

add the numbers

19/20

Answer: 19/20

Step-by-step explanation:

Find your common denominator

3/4

Multiply by 5

15/20

1/5

Multiply by 4

4/20 + 15/20= 19/20

Hope this helped :)

what is the value of the exponital expression below 36 1/2

Answers

The answer is 6.

36^ 1/2 = the square root of 36 = 6

Silas brought an ice chest to the picnic. A model of the ice chest is shown below . 15in Width, 30 inches length, and 15 inches height. What is the volume, in cubic inches of the ice chest?​

Answers

Answer:

6,750 in.³

Step-by-step explanation:

The ice chest is a rectangular prism or a cuboid.

Volume of the ice chest = volume of rectangular prism = l*w*h

Where,

l = 30 in.

w = 15 in.

h = 15 in.

Volume = 30*15*15 = 6,750 in.³

help me with this thank you​

Answers

Answer: think it’s c 4/28

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

please helppp!!!!!! im giving all my points left

A teacher wants to compare how two classes have performed on a test they have taken. Should the teacher report the test mean or the test median? Which measure might describe the data set better? Why?
Your response should be 3-5 sentences long.

Answers

Answer: median

Step-by-step explanation:  In this situation the mean is widely preferred as the best measure of central tendency because it is the measure that includes all the values in the data set for its calculation

How to get 10 with the numbers 7, 11, 4 and 2 in that order?

Answers

Answer:

Huh!! What is this question supposed to mean?

-7( 2y - 3x + 9 ) =
Plz help

Answers

Answer:

21x - 14y - 63

Step-by-step explanation:

Rearrange the terms so it's: -7(-3x + 2y + 9)

Then distribute it and you have your answer, unless you know what x and y are

!!!!!!!!!!!!!!!!!!!!help me

Answers

Answer:

pretty sure its 75

The answer is 75 have a good day

A group of 20 students attempting a MathematicalChallenge have an average age of 11. When their teacher is included their average age is12. What is the age of the teacher?

Answers

Answer:

32.

1st get the total age of the students

x/20 = 11

x=11x20

x =220 (total age of students)

add y ( teachers age) to the equation

(220 + y)/21=12

y= 32

Answer:

32

Step-by-step explanation:

20 * 11= 220

21 * 12= 252

252-220=32

Determine whether the given value is a solution to the equation.

A. x + 15 = 10; x=5



B.m/3=11 ; m=33


C. 5n=42; x=7

Answers

A. No

5 + 15 = 20

B. Yes

33/3 (33 ÷ 3) = 11

C. No

5 × 7 = 35

Answer:

B) m/3=11 ; m=33

Step-by-step explanation:

First, I substituted in my 33 in the m in me m place. Then, divide 33 by 3 and you get 11=11, and that is a true statement. I hope this helps :)

Write a polynomial function of least degree with zeros: -2, 1 and 3

Answers

Answer:

       b

Step-by-step explanation:

bnbbn

Can you help me on question nine please?!

Answers

Answer:

24

Step-by-step explanation:

plug in 2

2^3+7(2)+2

2×2×2+14+2

8+14+2

24

Help on question 5 please :))

Answers

Answer:

the answer is I LIKE YOUR CUT G

Step-by-step explanation:

your a bot at fortnite

Answer:

b. Substitute 8x+4 for y in the first equation.

Point KK is located at (5,-4)(5,−4) on the coordinate plane. Point KK is reflected over the xx-axis to create point K'K

What ordered pair describes the location of K'?K

Answers

Answer:

The ordered pair that describes the location of K' is (5,4).

Step-by-step explanation:

Reflection over the x-axis:

When a point is reflected over the x-axis, it's x-coordinate stays the same, while the signal of the y-coordinate is changed. So

(x,y) -> (x,-y)

In this question:

Point K(5,-4)

Reflection over the x-axis:

(5,-4) -> (5,-(-4)) -> (5,4)

The ordered pair that describes the location of K' is (5,4).

Hi. I need help with math. 8th grade.

Answers

Answer:

260 is the answer. jjrjejjehene

Based on the scatterplot below what is the most likely value for pounds of apples phone number of Apples is 60

Answers

this is a PICTURE

i HOPE IT'S HELP

Help me out thanks !!!!!

Answers

Answer:

B) ∠SBY = 117°

Step-by-step explanation:

interior angles in a pentagon = (5x180) - 360 = 540°

each angle = 540/5 = 108°

interior angles in a octagon = (8x180) - 360 = 1080°

each angle = 1080/8 = 135°

∠SBY = 360 - 108 - 135 = 117°

PLEASE HELP I WILL GIVE BRAINLIEST IF YOU GET IT RIGHT 7TH GRADE MATHH

Answers

Answer:

990

Step-by-step explanation:

(21*18*2)+(21*3*2)+(18*3*2)

=990

How to get 14 equal pieces from 6.3m of cord

Answers

You cut the pieces 2.2cm each

Please help solve this angle problem! It is due today!

Answers

Answer:

The answer is B.

Step-by-step explanation:

Two angles that add up to 90° are called complementary angles.

Angles A and B are complimentary angles. Complimentary angles are angles which add up to exactly 90 degrees.

They are often confused with supplementary angles, but supplementaries add up to 180.

What is the distance between the points (4, 3) and (1,-1) on the coordinate
plane?

Answers

5 units; the following photo below is how I did solved it! Sry if you can’t understand my handwriting! Hope this helps!

a company that sells annuities must base the annual payout on the probability distribution of the length of life of the participants in the plan. suppose the probability distribution of the lifetimes of the participants in the plan is approximately normal with mean equal to 66.3 years and standard deviation equal to 3.6 years. nine participants are randomly selected. what is the probability that the average age at death of these nine participants will exceed 68 years

Answers

Answer:

0.0778 = 7.78% probability that the average age at death of these nine participants will exceed 68 years

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Approximately normal with mean equal to 66.3 years and standard deviation equal to 3.6 years.

This means that [tex]\mu = 66.3, \sigma = 3.6[/tex]

Sample of 9:

This means that [tex]n = 9, s = \frac{3.6}{\sqrt{9}} = 1.2[/tex]

What is the probability that the average age at death of these nine participants will exceed 68 years?

This is 1 subtracted by the pvalue of Z when X = 68. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{68 - 66.3}{1.2}[/tex]

[tex]Z = 1.42[/tex]

[tex]Z = 1.42[/tex] has a pvalue of 0.9222

1 - 0.9222 = 0.0778

0.0778 = 7.78% probability that the average age at death of these nine participants will exceed 68 years

what is 9^7 written in expanded form ​

Answers

Answer:

9*9*9*9*9*9*9

Step-by-step explanation:

it's basically 9 multiply by itself for 7 times

You and three friends order a large pizza and three sodas at Blue Mountain Pizza.
- The sub total is 32.85.
- There is a 7% sales tax
- You want to leave an 18% tip on the price of the meal plus tax.

If the bill is divided evenly how much will each person pay? (Round to the nearest cent)
Please show work!

Answers

Answer:

$13.20

Step-by-step explanation:

7% = 0.7 so you add that to $32.85 = $33.55

18% of $33.55 is 6.039 so you add that to $33.55 = 39.589

That is the total of the bill so you divide it by 3

39.589 /3 =13.1963

rounded to the nearest cent is $13.20

yo momma is 600 pounds she eats 300 more pounds of food and gets fatter how many more pounds does she need to get to weigh 3000 pounds

Answers

Answer:

2100

Step-by-step explanation:

L M A O

if f(x) =2((x)), find f(-1/4)​

Answers

Answer:

Combine

f and  1/4.

and u get - f/4

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

2(-1/4)

4 ft 5 ft 2 ft 6 ft 6 ft 11 ft​

Answers

Answer:

34 feet

Step-by-step explanation:

Robert has 7 pounds of ground beef. He is dividing the beef into burgers that are each 1/3 of a pound. How many burgers can he make

Answers

Robert can make 21 burgers
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