Horse = x = 1 head and 4 feet
Chicken =y = 1 head and 2 feet
Horse + chicken = x + y = 43 ( total heads)
Horse = 43 - y
4x + 2y = 122
4(43-y) + 2y = 122
Simplify:
172-4y + 2y = 122
Combine like terms
172-2y = 122
Subtract 172 from both sides
-2y = -50
Divide both sides by-2
Y = 25
X + y = 43
X + 25 = 43
X = 18
There are 18 horses and 25 chickens.
Answer:
There's 15 cows and 35 chickens.
Step-by-step explanation:
Take 20 and multiply it by 2. The answer is 40. Then subtract 40 from 130. The answer will be 90. The cow has double the amount of legs than the chicken, so the cow is equivalent to 2 chicken. Divide 90 by 3. The answer is 30. Then divide 30 by 2 the answer is 15. Add 15 and 20 and the answer is 35 chickens. Divide 30 by 2 and the answer is 15.
You will get 35 chicken and 15 cows as your answer. Happy Election Night, and I hope this helps! ;)
Answer:
Step-by-step explanation:
The hypothesis is written as follows
For the null hypothesis,
µd ≤ 10
For the alternative hypothesis,
µ > 10
This is a right tailed test
Since no population standard deviation is given, the distribution is a student's t.
Since n = 97
Degrees of freedom, df = n - 1 = 97 - 1 = 96
t = (x - µ)/(s/√n)
Where
x = sample mean = 8.9
µ = population mean = 10
s = samples standard deviation = 3.6
t = (8.9 - 10)/(3.6/√97) = - 3
We would determine the p value using the t test calculator. It becomes
p = 0.00172
Since alpha, 0.01 > than the p value, 0.00172, then we would reject the null hypothesis. Therefore, At a 1% level of significance, there is enough evidence that the data do not support the vendor’s claim.
Given the system of equations:
To solve it by substitution, follow the steps below.
Step 1: Solve one linear equation for x in terms of y.
Let's choose the second equation. To solve it for x, add 3y to each side of the equations.
Step 2: Substitute the expression found for x in the first equation.
Step 3: Isolate y in the equation found in step 2.
To do it, first, add 48 to both sides.
Then, divide both sides by 15.
Step 4: Substitute y by 5 in the relation found in step 1 to find x.
Answer:
x = -9
y = 5
or (-9, 5)
Also, you can graph the lines by choosing two points from each equation, according to the picture below.
Let the Distance between A and B be : C km
Given : The Man Travels from A to B at a Speed 4 km/h
⇒ The Man Travels 4 km in One Hour during his Journey from A to B
⇒ 
⇒ 
Given : The Man Travels from B to A at a Speed 6 km/h
⇒ The Man Travels 6 km in One Hour during his Journey from B to A
⇒ 
⇒ 
⇒ 
We know that One Hour contains 60 Minutes
⇒ The Total Time taken by Man = 
Given Total Time Taken by Man is 45 Minutes
⇒ 25C = 45
⇒ 
But the Total Distance Traveled by the Man is 2C
⇒ 2C = 2 × 1.8 = 3.6 km
⇒ The Total Distance Traveled by the Man is 3.6 km
