Question

7. Mai poured 2.6 liters of water into a partially filled pitcher. The pitcher then contained 10.4 liters.
a. which diagram (A,B or C ) represents this situation?
b. write an equation that represents this situation.
c. solve the equation you wrote.
d. Explain what the solution to the equation means in this situation.
Please answer the question i got into tuesday to turn it in to my teacher

Answer 1

Answer:

a) Diagram B

b) x + 2.6 = 10.4

c) x = 7.8

d) The solution to the equation tells us how much water was already in the pitcher before Mai added the additional 2.6 liters.

Step-by-step explanation:

Part (a)

Mai poured 2.6 liters of water into a partially filled pitcher. The pitcher then contained 10.4 liters.

Diagram B effectively illustrates this scenario. It features a partitioned rectangle with one section labeled as 'x,' representing the initial volume of water, and another section labeled as '2.6', representing the water added by Mai. The bracket above both sections encompasses the total volume, 10.4 liters.

$\dotfill$

Part (b)

Let x represent the initial volume of water in the pitcher.

After adding 2.6 liters, the total volume becomes x + 2.6 liters, which equals 10.4 liters. So, the equation representing this situation is:

$x + 2.6 = 10.4$

$\dotfill$

Part (c)

To solve the equation x + 2.6 = 10.4, subtract 2.6 from both sides to isolate x:

$x = 10.4 - 2.6\\\\x = 7.8$

Therefore, the solution is x = 7.8.

$\dotfill$

Part (d)

In this situation, the solution to the equation tells us how much water was already in the pitcher before Mai added the additional 2.6 liters.