Answer:the total number of horses in the herd is 36
Step-by-step explanation:
Let x represent the total number of horses in the herd.
One fourth of the herd of horses was seen in the forest. This means that the number of horses that was seen in the forest would be
1/4 × x = x/4
Twice the square root of the herd had gone to the mountain slopes. This means that the number of horses that had gone to the mountain slopes would be
2 × √x = 2√x
Three times five horses remained on the riverbank. This means that the number that remained would be
3 × 5 = 15
Therefore
x/4 + 2√x + 15 = x
x - x/4 - 15 = 2√x
(4x - x - 60)/4 = 2√x
(3x - 60)/4 = 2√x
Cross multiplying,
3x - 60 = 8√x
Squaring both sides of the equation, it becomes
(3x - 60)(3x - 60) = 64x
9x² - 180x - 180x + 3600 = 64x
9x² - 360x - 64x + 3600 = 0
9x² - 424x + 3600 = 0
Applying the quadratic equation
x = (- b ±√b² - 4ac)/2a
x = ( - - 424 ± √-424² - 4(9 × 3600)/2 × 9
x = (424 ± √179776 - 129600)/18
x = (424 ±√50176)/18
x = (424 + 224)/18 or
x = (424 - 224)/18
x = 36 or x = 11.11
the number of horses must be whole number. Therefore, the number of horses is 36
Answer:
yes is a 9.465 an irrational number
Step-by-step explanation:
The second result is more precise because it's in millilitre,so if the first were to be fully precise,it should have been 78.6 cm.
Hope this helps!
Answer:
The correct answer is C 
Solution by separating the parts:
= 3 + 
We know that is 8 ÷ 33.
Therefore: 
3 + (8 ÷ 33)
You then would have to use "Long Division" for 8 divided by 33
= 3 + 0.242 = 3.242424242424...
Hence giving you 3.24 repeated which is C
P.S. the quiz either looks like a PVS exam form, or a virtual school exam/quiz, I'm able to work and help with any other further questions.
The GCF of 18 and 72 would be the first step.
the gcf is 18
So we we now have 18 (x^2y)(xy)
factor both variables
18xy would be the gcf
