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
To find the median, you list the numbers in increasing order.
5, 5, 7, 10, 13.
Then you take the middle number. Every number has a pair except for seven in the middle, and the median is 7. Hope it helps!
Answer:
<h2>
B. 9</h2>
Step-by-step explanation:
|<-------------- 27 ------------>|
L--------------M----------------N
18 MN
LN = LM + MN
27 = 18 + MN
MN = 27 - 18
<h2>
MN = 9</h2>
Answer:
$60.48
Step-by-step explanation:
hope this helps!!
Answer:
$500 + 0.02x = $200 + 0.05x
Step-by-step explanation:
Jessica's first option: J1 = $500 plus sales commission of 2%:
J1 = $500 + 0.02x, where x: weekly sales amount
Her second option: J2 = $200 + 0.05x
Equating these two expressions, we get:
$500 + 0.02x = $200 + 0.05x
... which is the same as the third answer choice.
