Question

A gallon of water weighs 8 pounds. A bag of pebbles weighs 25 pounds. A

fish tank can hold up to 1,200 pounds. Let x represent the number of
gallons of water and y represent the number of bags of pebbles. Write a
standard form equation for the number of gallons of water and bags of
pebbles in the fish tank? (Do not add spaces and you can copy and paste
the needed inequality... sor 2)*

Answer 1

The standard form equation is 8x + 25y ≤ 1200, representing the weight constraint for the number of gallons of water and bags of pebbles in a fish tank with a capacity of 1,200 pounds.

Step-by-step explanation:

To write a standard form equation for the number of gallons of water (x) and bags of pebbles (y) that can go into a fish tank with a maximum weight capacity, we need to account for the weight of each item. Given that a gallon of water weighs 8 pounds and a bag of pebbles weighs 25 pounds, we can set up an inequality to ensure the combined weight of the water and pebbles does not exceed 1,200 pounds, which is the fish tank's capacity.

The equation in standard form reflecting the weight constraint would be:
8x + 25y ≤ 1200

This means that the total weight of x gallons of water plus the total weight of y bags of pebbles must be less than or equal to 1,200 pounds.

Answer 2

The pounds amount 12.76 lb converts into 1 gal, one gallon. It is the EQUAL beach sand volume value of 1 gallon but in the pounds weight unit alternative. How to convert 2 gallons (gal) of beach sand into pounds (lb)? Is there a calculation formula? First divide the two units variables.