Answer:
22.95 kg
Step-by-step explanation:
Let's say the farm stand owner starts with x kg of apples.
During the first hour, he sells 15% of the apples:
0.15 x
This means he's left with 85% of the original apples. During the second hour, he sells 20% of the remaining apples:
0.20 (0.85 x)
= 0.17 x
He's sold a total of 15% + 17% = 32% of the apples, so he's left with 68% of the apples. Continuing the pattern, the apples sold during the third hour:
0.25 (0.68 x)
= 0.17 x
He's sold 49% of the apples and is left with 51%. The apples sold during the fourth hour:
0.30 (0.51 x)
= 0.153 x
If 0.17 x = 25.5, then x = 150. So the apples sold during the fourth hour is:
0.153 (150) = 22.95
Answer:
Step-by-step explanation:
7). Since, ∠4 and ∠5 are the linear pair of angles,
m∠4 + m∠5 = 180° [Supplementary angles]
72° + m∠5 = 180°
m∠5 = 180° - 72°
m∠5 = 108°
8). Since, ∠6 and ∠7 are the vertically opposite angles,
Therefore, ∠6 ≅ ∠7
m∠6 = m∠7
3x + 94 = 9x - 38
9x - 3x = 94 + 38
6x = 132
x = 22
m∠6 = 3(22) + 94 = 160°
m∠7 = 9(22) - 38 = 160°
9). Since, ∠2 and ∠3 are the linear pair of angles, both the angles will be supplementary.
m∠2 + m∠3 = 180°
(13x + 54) + (2x + 36) = 180°
15x + 90 = 180°
15x = 90
x = 6
m∠2 = 13(6) + 54 = 132°
m∠3 = 2(6) + 36 = 48°
Answer:
Therefore, Sara’s current age (5 years later) is 19 years old.
Step-by-step explanation:
Let xx be Sara’s age five years ago. Therefore, Sara’s aunt’s age 5 years ago is 4x4x.
The difference in their ages is a constant, no matter how many years have gone by. (Can you see why?)
4x−x=42
3x=42
x=42/3
x=14
14+5=19
Therefore, Sara’s current age (5 years later) is 19 years old.
Answer:
y = 2x+5
Step-by-step explanation:
rearrange the equation to make y the sof
y = 1/2x - 3
to find gradient of perpendicular line
1/2 ÷ ( - 1 )
y = -2x + c , the replace the coordinates (-3,-1)
y = 2x + 5
There were 188,49 tickets that were sold
