Answer:
There are 16 cows and 32 chickens on the farm.
Step-by-step explanation:
First, each cow and chicken has one head each, obviously. That means that the 48 corresponds to the total number of animals on Farmer John's farm. Since chickens have 2 legs and cows have 4 legs, that means that the 128 represents the separate amount of cows and chickens there are. We can let c equal the number of cows, and h equal the number of chickens. We know that the total number of animals is 48, so c + h = 48. We know that for each cow, there are 4 legs, and for each chicken there are 2 legs, so 4c + 2h = 128.
Now, we can solve by substitution. Multiplying the first equation by 2, we have 2c + 2h = 96. We can subtract this from the second equation to get 2c = 32, and c = 16. That means there are 16 cows on the farm, and since c + h = 48, there are 48 - 16 = 32 chickens on the farm.
The number of chicken are 32 and the number of cows is 16, 128 represents the total number of legs of the chicken and cows. In which 64 legs are of chicken and 64 legs are of cows, and 48 represents the total number of heads in which 32 heads are of chicken and 16 heads are of cows.
Given :
Farmer John has cows and chickens on his farm. His farm animals have 128 legs and 48 heads in total.
a) Remember a cow has one head and 4 legs and a chicken has one head and 2 legs.
Let the total number of chickens be 'x' and the total number of cows be 'y'. Then the total number of heads are:
x + y = 48
x = 48 - y --- (1)
The linear equation that represents the total number of legs is given by:
2x + 4y = 128 --- (2)
Now, substitute the value of 'x' in equation (2).
2(48 - y) + 4y = 128
96 - 2y + 4y = 128
2y = 32
y = 16
Now, substitute the value of 'y' in equation (1).
x = 48 - 16
x = 32
So, the number of chicken are 32 and the number of cows are 16.
b) 128 represents the total number of legs of the chicken and cows. In which 64 legs are of chicken and 64 legs are of cows.
c) 48 represents the total number of heads in which 32 heads are of chicken and 16 heads are of cows.
For more information, refer to the link given below:
https://brainly.com/question/11897796
Please help me please help please please help me
Answer:
3/2
-4
Step-by-step explanation:
y = mx + c
m = slope = y2 - y1 / x2 - x1
= -4 -2 / 0 - 4
= -6/-4
= 3/2
c = y intercept
y when x = 0
c = -4
Answer:
[tex]y = \frac{2 - ( - 4)}{4 - 0}x - 4 \\ y = \frac{6}{4} x - 4 \\ y = \frac{3}{2} x - 4 \\ [/tex]
a car travels 55 miles per hour for 2 hours. How far did it travel in 1 1/2 hours
Answer:
82.5 miles in 1 1/2 hours
Step-by-step explanation:
Using the information the question gives us we can find the appropriate answer to this question by dividing the miles per hour by two, and then add that number to the additional miles per hour.
55 miles = one hour
2 hours = 110 miles
1 1/2 hours = 55 ÷ 2 = 27.5
55 + 27.5 = 82.5 miles
82.5 miles
Hope this helps
Complete the equation of the line whose y-intercept is (0,-1) and slope of 4
y=(answer)
What integer that best describes the statement "the stock rose 8 points"?
A.-8
B.15
C.-15
D.+8
Answer:
D.+8
Step-by-step explanation:
"The stock rose 8 points."
The word rose indicates that the number will be positive.
Hope this helps :)
Answer:
D
Step-by-step explanation:
hope it helps
Show this situation on a vertical number line
what is the situation to your question
Answer:
What is the situation?
Step-by-step explanation:
3. a. Which of the numbered angles are exterior angles?
b. Name the remote interior angles for each exterior angle.
C. How are exterior angles 6 and 8 related?
(Picture included) please help
4, 5, 6, 7 & 8 are exterior angles.
Answer:
See answers below.
Step-by-step explanation:
Exterior angles are angles that form a linear pair with an angle of a triangle.
Remote interiors in a triangle are the angles that are not adjacent to an exterior angle of the triangle (meaning are not connected to the exterior angle)
A. Exterior angles are ∠8, ∠7, ∠5, ∠4, and ∠6
B. Remote interiors angles are :
Looking at ∠6, the remote interior angles are ∠1 and ∠2
Looking at ∠8, the remote interior angles are ∠1 and ∠2
Looking at ∠5, the remote interion angles are ∠1 and ∠3
C. ∠6 and ∠8 are vertical angles which are ≅ and equal.
A boat is moored at a dock, as shown in the figure.
What is the length of rope A?
Note: The triangle formed is a right triangle.
8.3 ft
10.5 ft
12.3 ft
8.6 ft
Answer:
12.3
Step-by-step explanation:
i took the quiz
Which choice is equivalent to the product below?
V14.18
A. A
B. 28
C. 4/28
D. 16.17
SUBMIT
Answer: Choice A. [tex]4\sqrt{7}[/tex]
===================================================
Work Shown:
[tex]\sqrt{14}*\sqrt{8}\\\\\sqrt{(14)*(8)}\\\\\sqrt{(7*2)*(2*4)}\\\\\sqrt{7*(2*2)*4}\\\\\sqrt{7*4*4}\\\\\sqrt{4*4*7}\\\\\sqrt{4}*\sqrt{4}*\sqrt{7}\\\\2*2*\sqrt{7}\\\\4\sqrt{7}\\\\[/tex]
Tara's pool is 50 yards in length and 20 feet in width. How many square feet is the pool? How many square yards in the pool? Show your work.
Gerald had scores of 83, 95, 92, and 98 on four exams in his algebra class. What score will he need on his fifth exam to have an overall average of 937 (All exams have a
maximum of 100 points.)
c¹⁰ ÷ c⁵ please help me asap thank you
Answer:
c^5
Step-by-step explanation:
All you have to do is take away the powers because of the law of indeces when dividing number with indices
Hope this helps :) im really bad at the explanations part :D
...........................................................
I need help with a law of sines question.
Step-by-step explanation:
B will equal 20.87 degrees
C will equal 42.1 degrees
c will equal 26.3
Please help WILL GIVE BRAINLIEST! find the missing triangle measurements
ABC=50
DCE=65
DEF= I think 115
I hope that helps I would appreciate brainliest if possible :)
Select the statements which could describe the graph of a nonproportional relationship.
Answer:
what it says iiiiiiii888i888iiiii
Find the equation of the line where m = 1 and b = 8.
y = 8 - x
y = 8
y = 8x + 1
y = x + 8
Answer:
Y=x+8
Step-by-step explanation:
Ahmad bought 11 pounds of sugar for $6.
How many dollars did he pay per pound of sugar?
9.4 x 8.2 using regrouping
Answer:
77.08
Step-by-step explanation: basic math
Answer:
77.08
Step-by-step explanation:
hope it helps
Please help me with the worksheet
Answer:
9) a = ¾, vertex: (-4, 2), Equation: y = ¾|x + 4| + 2
10) a = ¼, vertex: (0, -3), Equation: y = ¼|x - 0| - 3
11) a = -4, vertex: (3, 1), Equation: y = -4|x - 3| + 1
12) a = 1, vertex: (-2, -2), Equation: y = |x + 2| - 2
Step-by-step explanation:
Note:I could only work on questions 9, 10, 11, 12 in accordance with Brainly's rules. Nevertheless, the techniques demonstrated in this post applies to all of the given problems in your worksheet.
Definitions:The given set of graphs are examples of absolute value functions. The general form of absolute value functions is: y = a|x – h| + k, where:
|a| = determines the vertical stretch or compression factor (wideness or narrowness of the graph).
(h, k) = vertex of the function
x = h represents the axis of symmetry.
Solutions:Question 9) ⇒ Vertex: (-4, 2)Solve for a:
In order to solve for the value of a, choose another point on the graph, (0, 5) and substitute into the general form (equation):
y = a|x – h| + k
5 = a| 0 - (-4)| + 2
5 = a| 0 + 4 | + 2
5 = a|4| + 2
5 = 4a + 2
Subtract 2 from both sides:
5 - 2 = 4a + 2 - 2
3 = 4a
Divide both sides by 4 to solve for a:
[tex]\LARGE\mathsf{\frac{3}{4}\:=\:\frac{4a}{4}}[/tex]
a = ¾
Therefore, given the value of a = ¾, and the vertex, (-4, 2), then the equation of the absolute value function is:
Equation: y = ¾|x + 4| + 2
Question 10) ⇒ Vertex: (0, -3)
Solve for a:
In order to solve for the value of a, choose another point on the graph, (4, -2) and substitute into the general form (equation):
y = a|x – h| + k
-2 = a|4 - 0| -3
-2 = a|4| - 3
-2 = 4a - 3
Add 3 to both sides:
-2 + 3 = 4a - 3 + 3
1 = 4a
Divide both sides by 4 to solve for a:
[tex]\LARGE\mathsf{\frac{1}{4}\:=\:\frac{4a}{4}}[/tex]
a = ¼
Therefore, given the value of a = ¼, and the vertex, (0, -3), then the equation of the absolute value function is:
Equation: y = ¼|x - 0| - 3
Question 11) ⇒ Vertex: (3, 1)
Solve for a:
In order to solve for the value of a, choose another point on the graph, (4, -3) and substitute into the general form (equation):
y = a|x – h| + k
-3 = a|4 - 3| + 1
-3 = a|1| + 1
-3 = a + 1
Subtract 1 from both sides to isolate a:
-3 - 1 = a + 1 - 1
a = -4
Therefore, given the value of a = -4, and the vertex, (3, 1), then the equation of the absolute value function is:
Equation: y = -4|x - 3| + 1
Question 12) ⇒ Vertex: (-2, -2)
Solve for a:
In order to solve for the value of a, choose another point on the graph, (-4, 0) and substitute into the general form (equation):
y = a|x – h| + k
0 = a|-4 - (-2)| - 2
0 = a|-4 + 2| - 2
0 = a|-2| - 2
0 = 2a - 2
Add 2 to both sides:
0 + 2 = 2a - 2 + 2
2 = 2a
Divide both sides by 2 to solve for a:
[tex]\LARGE\mathsf{\frac{2}{2}\:=\:\frac{2a}{2}}[/tex]
a = 1
Therefore, given the value of a = -1, and the vertex, (-2, -2), then the equation of the absolute value function is:
Equation: y = |x + 2| - 2
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
Answer:
58 2/3 fps
Step-by-step explanation:
To convert a speed value from miles per hour to feet per second, multiply it by 5280, then divide by 3600.
40 * 5280 = 211200
211200 / 3600 = 58.6666..... [58 2/3]
help me due today it is mathematics
Answer:
Miranda is correct because the value 7 makes the equation equal
I am not sure what goes in the blanks, those are my best guesses.
Step-by-step explanation:
34 = 27 + p
7 = p
Hopefully this helps!
Brainliest please?
A secured loan would most likely be used to pay for
A. college
B. a car
C. groceries
D. a phone
A secured loan would most likely be used to pay for a car, the correct option is B.
We are given that;
The four options
Now,
A secured loan is a loan that is backed up by collateral pledged by the borrower, such as a car or property.
The lender can sell the collateral to cover repayment of the loan if the borrower defaults.
Car, since it is a common type of collateral for secured loans.
College, groceries and a phone are less likely to be used as collateral for secured loans, since they are either intangible, perishable or low-value assets.
Therefore, by loan the answer will be car.
Learn more about loan payment here:
https://brainly.com/question/4234016
#SPJ2
Mr Harrison is 9 months old. How old is Mr Harrison daughter in days
Answer:
273.75 days
Step-by-step explanation:
-2 (x+5) = 4
use the distributive property to solve the equation
Estimate 5,924 ÷ 33 =
please this is all I ask is what is this?
I need it ASP
Answer:
179.6 (Estimated)
Step-by-step explanation:
5,924 ÷ 33 = 179.6 (Estimated)
Hoped this helped.
Answer:
5,924 ÷ 33 = 179.6 (in estimated form)
Step-by-step explanation:
5,924 divided by 33 equals 179.515151515.
Since 179.515151515 is not in estimated form, this can't be the correct answer.
Since we see that 51 is repeating, this allows us to determine whether we can round this up or not.. And we can!
179.515151515 → 179.6
Since 51 was repeating, we could round it up.
Therefore, 179.6 is your final answer.
Hope this helps! :D
(Can you mark me brainliest? It is greatly appreciated!)
- ♥ 7272033Alt ♥
8 x 1 = 4 x _____ 8 x 2 = 4 x _____ 8 x 3 = 4 x _____ 8 x 4 = 4 x _____ 8 x 5 = 4 x _____ 8 x 6 = 4 x _____ 8 x 7 = 4 x _____ 8 x 8 = 4 x _____ 8 x 9 = 4 x _____ 8 x 10 = 4 x _____ Write two or three sentences to explain the pattern.
1)2
2)4
3)6
4)8
5)10
6)12
7)14
8)16
9) 18
10) 20
I really need help. Can someone help me with making a linear, quadratic and exponential models. All models need to include the regression line, regression equation and the coefficient of determination.
y=2500x^1+ i d k i can't see the y-intercept
if a chocolate cake is divided into six equal slices and each slice has 280 calories
Answer:
Whats the question?
Step-by-step explanation:
Answer:
1,680
Step-by-step explanation
6 slices each 280 calories, 280 x 6 = 1,680
Need help on this plz and thanks
Answer:
y = 5x - 25
Step-by-step explanation:
Using the equation y=mx+b to determine the function. The line must be perpendicular, so the m (slope) value must be the opposite reciprocal of the given equation, which is 5. Then you have to solve the equation using the given point to find b.
10 = 5 * (7) + b
10 = 35 + b
-25 = b
So final equation is y = 5x - 25.
five and one third plus five ninths
Answer: The answer is 8/9
Step-by-step explanation:
Answer:
53/9 or 5 and 8/9
Step-by-step explanation:
5 1/3 + 5/9
we can convert 5 1/3 to a fraction by multiplying 5 times the denominator and adding 1 (the numerator) to it. we get
16/3
we now need to get common denominators. the least common denominators is 9, so we multiply 16/3 by 3/3 and we get:
48/9
now we can add the two:
48/9 + 5/9 = 53/9 or 5 and 8/9
(1 point)
8. The ordered pairs (1, 2), (2, 4), (3, 8), (4,16), and (5,32) represent a function. What is a rule
that represents this function?
O y=x^2
O y=2x
O y=2^x
O y=x+2
9514 1404 393
Answer:
(c) y=2^x
Step-by-step explanation:
You can check each of the offered functions to see which one fits. It is often informative to check the last of the offered points.
5^2 ≠ 32
2×5 ≠ 32
2^5 = 32 . . . . . a good candidate
5 +2 ≠ 32
Only the third choice matches the given ordered pairs.
__
If you're trying to figure out the function, it is often useful to look at the differences between given values. The x-values differ by 1. The y-values differ by 2, 4, 8, 16. These are not constant, so the function is not linear (eliminates B and D). These differences don't have a common difference, so the function is not quadratic (eliminates A).
Both the y-values and their differences have a common ratio of 2, a strong indicator this is an exponential function with a base of 2 (matches C).
