Answer:
h=5
Step-by-step explanation:
18x2 = 36
36/6 = 6
6 = h+1
h=5
Check:
5+1 = 6
6x6 = 36
36/2 = 18
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
500 grams is the same as 0.5 kilograms
Answer:
We need 232 mL of Compound A
Step-by-step explanation:
We know the ratio
A : B : total
4 3 4+3
4 3 7
We want 406
406 /7 =58
Multiply each part by 58
A : B : total
4*58 3*58 7*58
232 174 406
We need 232 mL of Compound A
When x = -2, g(-2) = 4
and
when x = -2, f(-) = 4
answer
f(-2) = g(-2)
