Let's convert each statement into mathematical terms.
Pineapple = p
Orange = x
is indicates equality
Pineapple has a weight that is 7 times that of an orange: p = 7x
Pineapple is 870 grams heavier than the orange. p = 870 + x
Insert p = 7x into the second equation:
7x = 870 + x
Subtract x from both sides
6x = 870
Divide by 6
x = 145
The weight of the orange is 145 grams.
The weight of the pineapple is 7 times that of the orange = 7(145) = 1015 grams.
By the seventh day, there are zero rabbits remaining.
Answer:
The correct answer is;
A. 0.17
Step-by-step explanation:
Here are the provided details;
The average time taken for a cashier to handle an order, μ = 276 seconds
The deviation from the average, σ = 38 seconds
The z-score for an order processing time of x = 240 seconds can be calculated as follows;

Thus;

The resulting probability
P(z = -0.9474) = 0.17361
Hence, the estimated proportion of orders processed in under 240 seconds is roughly 0.17361 or 0.17 when rounded to two decimal places.
The average speed for his entire journey from York to Blackpool is about 61.41 km/h.
Here’s a breakdown of how we arrive at this:

The distance he travelled from York to Leeds is 45 km,
and the speed during that section was 54 km/h.
Therefore, the time taken to travel from York to Leeds is 45/54 hours (since Time = Distance/Speed).
Next, the distance from Leeds to Blackpool is 42 km,
and the time for that leg of the journey is 35 minutes, which is 35/60 hours.
This leads to the total duration for his trip as
hours.
The cumulative distance covered equals 45 + 42 = 87 km.
Thus, his average speed is calculated as:
X² + 7x - 8 = 0; product = -8 times 1 = -8; sum = 7; {-1, 8}; x² - 1x + 8x - 8 = 0; x(x - 1) + 8(x - 1) = 0; thus, x + 8 = 0 or x - 1 = 0, leading to x = -8.