You can calculate that, since all children and horses have two eyes, and that children have two legs and horses have four, and the total number of eyes is 20 and the total number of legs is 30, there were 5 children and 5 horses.
Explanation:This problem can be solved using basic algebra. We need to count the numberOfChildren and numberOfHorses in a manner where each child and each horse contribute two eyes and with each child having two legs while each horse has four legs.
Let's make two assumptions:
numberOfChildren = number of children numberOfHorses = number of horsesSo, we can write two equations according to the question:
The total number of eyes = 20 (which implies that numberOfChildren + numberOfHorses = 10, because each creature, whether child or horse, has two eyes)The total number of legs = 30 (which implies that 2*numberOfChildren + 4*numberOfHorses = 30, as each child has two legs and each horse has four)By solving these two equations, we find that the numberOfChildren = 5 and numberOfHorses = 5.
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Which is greater -10 or -20 in absolute value
Hans needs to rent a truck. suppose company A charges a rate of $40 per day and company B charges a $60 fee plus $20 per dat. for what number of days is the cost of the same
How many ways can a jury of four men and three women be selected from twelve men and ten women
Final answer:
The number of ways to choose the jury is 59,400.
Explanation:
The question is concerned with a combinatorial problem of selecting a jury from a larger pool of people, which is a classic example of the use of combinations in probability and statistics.
To find out how many ways we can select a jury of four men from twelve men, and three women from ten women, we use the combination formula which is C(n, k) = n! / (k! * (n-k)!), where '!' represents factorial, 'n' is the total number of people, and 'k' is the number of people to choose.
To select the men, we calculate the combinations as follows:
C(12, 4) = 12! / (4! * (12-4)!) = 495 waysTo select the women, we calculate the combinations as follows:
C(10, 3) = 10! / (3! * (10-3)!) = 120 waysTo find the total number of ways to select the jury of four men and three women, we multiply the number of ways to choose the men by the number of ways to choose the women:
495 ways (to choose men) * 120 ways (to choose women) = 59,400 different ways to select the jury.
A cylinder has a radius of 16 m and a height of 9 m. What is the approximate surface area of the cylinder? Use 3.14 for π. A. 603 m2 B. 904 m2 C. 2512 m2 D. 14,469 m2
Arlene sells computers and tables. She earns 8% commission on every dollar of sales that she makes
find the arithmetic mean an of an-1=3.9 and an+1=7.1
The arithmetic mean is 5.5
So therefor the answer is 5.5
On a coordinate grid, the distance between point F and point G is 13 units. Point F is located at (-1, 3). Point G is located at (x, -9). Which value could be the value of x?
Simplify 5 − (−1)
6
-6
4
-4
Answer:
6
Step-by-step explanation:
Just easy lol have a good day
Apple at on sale for $1.20 a pound. Logan bought 3/4 of a pound. How much money did Logan spend on apples
Which ones are correct? PLEASE ANSWER QUICK IF YOU KNOW
Help me anyone please !!!!!
Graph the linear equation find three points that solve the equation then plot on the graph x-3y=-6 plz help
The linear equation x - 3y = -6 can be rearranged as y = (1/3)x + 2. By substituting x-values of 0, 3, and 6, we obtained three points (0,2), (3,3), and (6,4). Plotting these points to graph helps us to visualize the equation.
Explanation:The original linear equation is x - 3y = -6. We can rearrange this equation to y = (1/3)x + 2. From this, we can derive three points on the graph. For example, let's calculate the y-values for x = 0, 3, and 6, which are easy to use.
For x = 0, the equation becomes y = (1/3)(0) + 2 = 2. So, the point (0,2) lies on this line.
For x = 3, the equation becomes y = (1/3)(3) + 2 = 3. So, the point (3,3) is on the line. For x = 6, the y-value is y = (1/3)(6) + 2 = 4, giving us the point (6,4).
These three points can be plotted on a graph and a line can be drawn through them to graph the equation.
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QUICK AND URGENT
Marvin can run 48km in 6 hours.
How many kilometers can he run in 6hours 30min
And how do you do it.
josè and nancy take care of animals when the owners are away. josè charges $15 plus $2 per animal. nancy charges $5 plus $3 per animal. for how many animals do they charge the same amount? write a system of equation to model the problem and solve the system to find out.
José and Nancy would charge the same amount for taking care of 10 animals. This is found by solving the system of equations which represents their respective charges.
Explanation:The subject of this problem is determining for how many animals José and Nancy would charge the same amount. This is a classic algebra problem that can be solved by setting up a system of equations.
Let's designate 'x' as the number of animals. José's charges can be represented by the equation y = 15 + 2x, because he charges a flat fee of $15 and then an additional $2 per animal. Nancy's charges can be represented by the equation y = 5 + 3x, because her initial fee is $5, and she charges an additional $3 per animal.
To find out when they both charge the same amount, set these two equations equal to each other and solve for x:
15 + 2x = 5 + 3x
This simplifies to 10 = x, meaning they would both charge the same amount for 10 animals.
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Which correlation coefficient indicates the stronger linear relationship between random variables for a fixed sample size?
A. r= 0.8
B. r= 0.5
C. r= -0.2
D. r= -0.9
The required among the given options, the correlation coefficient with the strongest linear relationship is r = 0.8.
What is the correlation coefficient indicates?The correlation coefficient is a measure of the strength and direction of the linear relationship between two random variables. The value of the correlation coefficient ranges from -1 to +1, where -1 indicates a perfect negative linear relationship, 0 indicates no linear relationship, and +1 indicates a perfect positive linear relationship.
Among the given options, the correlation coefficient with the strongest linear relationship is r = 0.8. This is because the closer the value of the correlation coefficient is to +1 or -1, the stronger the linear relationship between the two random variables. A correlation coefficient of 0.5 indicates a moderate positive relationship, a correlation coefficient of -0.2 indicates a weak negative relationship, and a correlation coefficient of -0.9 indicates a strong negative relationship.
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Help answer for a b and c work all of it out and show your work!thanks. Use the picture.
Answer:
Nah thx for the free pnts tho
Step-by-step explanation:
A rectangle's length is 13meters more than 3 times its width. The area is 10 square meters. What is the width?
A.) 2/3m
B.) 3m
C.) 5m
D.) 10m
Name the set(s) of numbers to which -2/5 belongs.
A. Whole numbers, integers, rational numbers
B. Rational numbers
C. Whole numbers, natural numbers, integers
D. Integers, rational numbers
x=5x+16 what is the answer
1440 tons of grain were brought to a silo over two days. On the second day, 80% of the amount of the grain delivered during the first day was brought in. How many tons of grain were delivered to the silo on the first day?
Answer:
800
Step-by-step explanation:
Divide. (18x^3+12x^2-3x)/6x^2
A)x^2+x-1/2x
B)3x+2
C)3x+2 -1/2x
D)3x -1/2x
Divide.(2x^3-x^2-24x+12)/(2x-1)
A)x^2-1
B)x^2-12
C)2x-1
D)x^2-1/2x-12
Can anybody help?
Answer:
1. The correct option is C.
2. The correct option is B.
Step-by-step explanation:
1.
The given expression is
[tex]\frac{18x^3+12x^2-3x}{6x^2}[/tex]
Simplify the expression,
[tex]\frac{18x^3}{6x^2}+\frac{12x^2}{6x^2}-\frac{3x}{6x^2}[/tex]
Cancel out the common factors.
[tex]3x+2-\frac{1}{2x}[/tex]
Therefore option C is correct.
2.
The given expression is
[tex]\frac{2x^3-x^2-24x+12}{2x-1}[/tex]
Use grouping method to simplify the numerator.
[tex]\frac{x^2(2x-1)-12(2x-1)}{2x-1}[/tex]
[tex]\frac{(2x-1)(x^2-12)}{2x-1}[/tex]
Cancel out the common factors.
[tex]x^2-12[/tex]
Therefore option B is correct.
Miguel has $20. He spends $6.25 on a movie ticket, $3.70 for snacks, and $1.25 for bus fare each way.
Use a straightedge to divide the fraction bar into 6 equal parts then shade 4 parts
you have been given the task of transporting 3000 apples ,1000 miles from apple land to bananaville. your truck can carry 1,000 apples at a time. every time you travel a mile towards bananaville you must pay a tax of 1 apple but you pay nothing when going in the other direction towards appleland.what is the highest number of apples you can get to bananaville?
Miguel wants to rent a boat and spend at most $52. The boat costs $7 per hour, and Miguel has a discount coupon for $4 off. What are the possible numbers of hours Miguel could rent the boat?
Use t for the number of hours- write your answer as an inequality solved for t. this is due today plz help thank you!
For an investment of $26,245, a quarterly statement reports that the account balance is $26,292. The statement also reports that for the same quarter, the rate of return on the investment was -0.02%. Given the information regarding the investment's current balance, does the reported rate of return seem reasonable? Use complete sentences
A 25-N net force is applied to a rolling cart and produces an acceleration of 5 m/s^2. What is the cart's mass?
Answer:
The cat's mass would be 5 kg.
What number is 12% of 25?
Find the area of this figure
Help me please I don’t understand