2000 + 1500g ≤ 15000
1500g ≤ 15000 - 2000
1500g ≤ 13000
g ≤ 13000/1500
g ≤ 8 2/3
Thus, the crane is capable of safely lifting no more than 8 2/3 cubic meters of gravel.
Answer:
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
y = 2 x + 7
Step-by-step explanation:
Let x denote the smaller number and y denote the larger number.
Part 1
The equation presented indicates that four times some number added to three times a larger number equals 31.
This translates to:
From here, solving for y yields:
- 4x + 3y=31 ⇒ 3y= -4x+31 ⇒ y= (-4x+31)/3 = - 4/3x + 31/3
⇒ y= - 4/3x + 31/3
This indicates the correct response for this scenario:
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
Part 2
The statement that seven subtracted from the larger number equals twice the smaller number translates to:
y-7= 2x
Further, solving for y yields:y-7= 2x ⇒
y= 2x+ 7
The correct answer for this equation is:
y = 2 x + 7
Answer:
He is dividing the angle BAC into two equal parts.
Step-by-step explanation:
Initially, he places the compass at point A and draws two small arcs intersecting points D and E. Next, setting the compass at D and then at E, he draws two arcs that intersect between the line segments AB and AC.
The bisecting line is drawn from point A through the intersection of these arcs.
Initial cost = 16000
depreciation rate = 35%
remaining value = 2000
depreciation over one year = 16000*35% = 5600
5600*2 = 11200 + 5600*6\12 = 2000
The car is aged 2.5 years, accounting for two full years and an additional half year of depreciation.
Adam and his dad split the bill in a 2:3 ratio. The dad’s share equals the 3 parts and is £52.20, so one part is 52.20 ÷ 3 = £17.40. Adam’s portion (2 parts) is 2 × 17.40 = £34.80. The total cost is 34.80 + 52.20 = £87.00.
