There are 14 dogs and 46 chickens on your uncle's farm.
Explanation:To solve this problem, we can set up a system of equations. Let x be the number of dogs and y be the number of chickens on your uncle's farm.
The number of legs equation can be written as: 4x + 2y = 148 (since dogs have 4 legs and chickens have 2 legs).
The number of heads equation can be written as: x + y = 60 (since both dogs and chickens have 1 head).
We can solve this system of equations by substitution or elimination. Let's use elimination:
Multiplying the second equation by 2, we get 2x + 2y = 120.
Subtracting the new equation from the first equation, we can eliminate the 2y term: (4x + 2y) - (2x + 2y) = 148 - 120. Simplifying, we have 2x = 28.
Dividing both sides of the equation by 2, we find that x = 14. Substituting this value back into the second equation, we find that 14 + y = 60. Solving for y, we get y = 46.
Therefore, there are 14 dogs and 46 chickens on your uncle's farm.
In GHI, HI = IHG =3x + 4, and IGH = 2x - 24. What is HIG?
Dory and Nemo go to Taco Bell for lunch. Dory orders three soft tacos and three double deckers for 11.25. Nemo pays $10 for four soft tacos and two double deckers. Write a system of equations that represents the lunch orders for dory and Nemo.
The equations representing Dory's and Nemo's lunch orders are 3x + 3y = 11.25 and 4x + 2y = 10, respectively.
Let's define the variables first. Let x be the cost of one soft taco, and y be the cost of one double decker.
Dory orders three soft tacos and three double deckers for $11.25. This gives us the first equation:
3x + 3y = 11.25
Nemo orders four soft tacos and two double deckers for $10. This gives us the second equation:
4x + 2y = 10
We now have a system of equations that represents the lunch orders:
3x + 3y = 11.25
4x + 2y = 10
These equations can be solved simultaneously to find the individual costs of the soft tacos and double deckers.
Sorbet is a frozen dessert that is often made from fruit. how many portions each weighing 1/10 of a kilogram can a french dessert chef create from 3 kilograms of sorbet
Final answer:
A French dessert chef can make 30 portions of sorbet from 3 kilograms, with each portion weighing 1/10 of a kilogram, by simply dividing the total weight by the weight of one portion.
Explanation:
The subject of this question is Mathematics, specifically related to division and units of measurement. To find out how many portions each weighing 1/10 of a kilogram can be made from 3 kilograms of sorbet, we divide the total amount of sorbet by the weight of one portion. Therefore, we perform the division:
Determine the weight of one portion: 1/10 kg.
Divide the total weight of sorbet by the weight of one portion: 3 kg ÷ (1/10 kg).
The division gives us the result of 30 portions because 3 ÷ (1/10) is equivalent to 3 × 10.
So, a French dessert chef can create 30 portions of sorbet, with each portion weighing 1/10 of a kilogram.
Domain -9,9,93 and Range -1,-5,9,9 is this a function
The diagonals of a parallelogram are congruent which could be the same parallelogram ?
A - trapezoid
B - Rectangle
C - Kite
D - rhombus
Answer:
B - Rectangle
Step-by-step explanation:
The diagonals of the parallelogram are given equal.
Diagonals of a parallelogram are equal in a rectangle .
So the given figure in which diagonals are equal is called a Rectangle.
Among the given options Option B is the right answer.
Use the graphing calculator to locate the solutions of this system of equations: y = x2 + x – 2 y = –x + 1
Answer:
(–3, 4) and (1,0)
Step-by-step explanation:
Answer:
(-3,4) and (1,0)
Step-by-step explanation:
We play a game where there are 50 coins in a row, we take turns taking between 1 and 5 coins however many you like. whoever takes the last coin keeps them all. how can i win everytime and does it matter if i go first
2) Find the point, M, that is five-sixths of the distance from A(-7, 2) to B(-1, -4).
write the number in scientific notation
0.0000024
please help
The sum of the deviations about the mean always equals _________.
Final answer:
The sum of the deviations about the mean always equals zero because positive and negative deviations cancel out. This concept is essential for calculating variance and standard deviation in statistics.
Explanation:
The sum of the deviations about the mean always equals zero. When analysing a set of data, each data value has a deviation from the mean, which is the difference between the value and the mean. These deviations illustrate the spread of the data around the mean. Positive deviations occur when a data value is greater than the mean, while negative deviations occur when a data value is less than the mean.
If we sum all the deviations, the positive and negative values will cancel each other out, resulting in a sum of zero. This happens because the mean is the point where the total amount above it is equal to the total amount below it. This concept is core to understanding the calculation of other statistics such as variance and standard deviation, which provide measures of data spread. Variance is the mean of the squared deviations from the mean, and the standard deviation is the square root of the variance.
The fact that the sum of deviations equals zero is important when working with the Central Limit Theorem, as it assures that the mean of sample means will equal the population mean, assuming the sample size is sufficiently large.
What is the quotient of 22,389 and 13?
Answer:1,722 R3
Step-by-step explanation:
Choose the correct classification of 4x4 − 4x3 + 10x6. (5 points)
The given expression 4x^4 - 4x^3 + 10x^6 is a polynomial of degree 6.
Explanation:The given expression is 4x4 - 4x3 + 10x6.
To classify this expression, we need to look at the highest power of x in the expression. In this case, the highest power is 6, which means it is a polynomial of degree 6.
So, the correct classification of 4x4 - 4x3 + 10x6 is a polynomial of degree 6.
What is 7200 minutes, in days? (Remember, there are 60 minutes in an hour and 24 hours in a day.)
Answer:
5 Days is the answer
--9/8x4/3 Please help I will mark brainliest
Please show work! Thank you
A tree has 53 leaves. During a storm, it loses 29 leaves. How many leaves does the tree have left?
29 leaves
24 leaves
82 leaves
42 leaves
23. A glass box shaped like a rectangular prism has width 7 inches, length 9 inches, and height 12 inches. It is being shipped in a larger box with width 10 inches, length 10 inches, and height 15 inches. The space between the glass box and the shipping box will be filled with Styrofoam peanuts. How many cubic inches of space will contain Styrofoam peanuts? Show all work.
What are the roots of the polynomial equation? x^2−12x−64=0
The roots of the polynomial equation x²−12x−64=0 are 16 and -4. These roots are calculated using the quadratic formula and represent the points where the function intersects the x-axis. The importance of finding real roots in quadratic equations is significant in solving real-world problems.
Explanation:Roots of Polynomial Equation
The roots or solutions of the polynomial equation x²−12x−64=0 can be calculated using quadratic formula. In general, the quadratic function is written as ax²+bx+c=0 and its roots are given by -b ± √(b² - 4ac) / 2a. In this case, a=1, b=-12 and c=-64.
Applying those values into the formula we get 12 ± √((-12)² - 4(1)(-64)) / 2(1) = 12 ± √(144 + 256) / 2 = 12 ± √400 / 2 = 12 ± 20 / 2. This gives us two possible roots: 16 and -4.
Graphically, these roots represent the x coordinates or points where the quadratic function intersects the x-axis on a two-dimensional graph. It is important to note that quadratic equations constructed on physical data always have real roots, which are important for solving real-world problems.
Learn more about Quadratic Equations here:https://brainly.com/question/30098550
#SPJ12
The Side-Angle-Side Similarity Postulate states “If the measures of 2 sides of a triangle are proportional to the measures of 2 corresponding sides of another triangle and the angles between them are congruent, then the triangles are congruent”?
TRUE or FALSE
Consider today's stock listings for bukkia hog farms, shown below. 52 wk high 52 wk low symbol div. close net change 212.45 106.63 bhf 18.95 140.26 8.85 today, ken sold the 116 shares of bukkia hog farms that he purchased yesterday. how much profit did ken make
Answer:
$1026.60
Step-by-step explanation:
Today's stock listing for Bukkia hog farms as shown below :
52 wk high : 212.45
52 wk low : 106.63
symbol : bhf
Div. : 18.95
close : 140.26
net change : 8.85
Since we know net change from yesterday till date is 8.85.
Ken sold shares that he purchased yesterday = 116 × 8.85 = $1026.60
Ken made profit of $1026.60
Which graph represents the function f(x) = log10(x + 2)?
Answer:
Please see the attachment for graph.
Step-by-step explanation:
Given: [tex]f(x)=\log_{10}(x+2)[/tex]
It is log function. First we take parent function of log
[tex]y=\log_{10}x[/tex]
We have to change y to f(x)
First we draw the graph of parent function.
[tex]y=\log_{10}x[/tex]
Now we shift graph 2 unit left because when x change to x+a , graph shift a unit left or right.
So, f(x) will shift 2 unit left.
[tex]f(x)=\log_{10}(x+2)[/tex]
Could someone please give me the answer? The subject is math and its Pre- Algebra
A bamboo shoot is 20 inches tall at day 0 and grows 24 inches each day. which function(s) shown below can be used to determine height, f(n), of the bamboo after n days?
I. f(n)=24n+20
II. f(n)=24n+20(n-1)
III. f(n)=f(n-1)+24 where f(0)=20
Answer:
The correct answer is option I
Step-by-step explanation:
Initial height of bamboo [tex]= 20 in\\[/tex]
Height of bamboo grows by [tex]24 in \\[/tex] every day
Let "n" be the number of days
So the height of bamboo after "n" days is
[tex]f(n) = 20 + 24n\\[/tex]
Thus, the correct answer is option I
Amy notices that her credit card company has charged too high an interest rate for delayed payment this month. Which law protects her from this issue?
Fair Debt Collection Practices Act
Identity Theft and Assumption Deterrence Act
Magnuson-Moss Warranty Act
Fair Credit Reporting Act Credit Card
Accountability, Responsibility and Disclosure Act
E:Credit Card Accountability, Responsibility and Disclosure Act
I need help with this question
The 12 members in Dante's hiking club shared 176 ounces of trail mix equally. How many ounces of trail mix did each member get?
Lucy wants to make different types of Cheesecake, each cheesecake uses 2/3 pound of cream cheese, she has 2 pounds of cream cheese. How many cheesecakes can she make?
An inscribed angle has a measure of 48°. Determine the measure of the intercepted arc.
24°
48°
72°
96°
TRIANGLE GEOMETRY PLEASE HELP
SOS!!
In your own words explain the difference between the following two expressions:
(-1)^2/4 and (-1)^1/2
The only difference between the two following expressions is their exponent though it’s equal. If you would analyze carefully, the two expressions are equal since 2/4 is just equal to ½. The two expressions are equal in value so the presentation of the exponent is their only difference.