Which answer choice shows an equation that correctly represents the relationship shown in the table below?

A table with two columns. The first column is labeled X, the second column is labeled Y. Row 1: x is 2, y is 3. Row 2: x is 3, y is 4.5. Row 3: x is 4, y is 6. Row 4: x is 5, y is 7.5.

The correct equation that represents the relationship shown in the table is y = 1.5x + 0.

Which of the expressions below has a sum of 0? Select all that apply.

A) -3 + 3
B) 7 + (-7)
C) -9 + 9
D) 7.4 + 7.4
E) 45 + (-54)

The expressions that have a sum of 0 are:

A) -3 + 3
B) 7 + (-7)
C) -9 + 9

Nine lemons cost $4.

Use the table to determine how many lemons can be bought for $20.

A horizontal table with 2 rows, lemons and cost. Column 1, 9 lemons and 4 dollars. Column 2, 18 lemons and 8 dollars. Column 3, 27 lemons and 12 dollars. Column 4, 36 lemons and 16 dollars. Column 5, blank lemons and 20 dollars.

Based on the given information in the table, we can determine that 36 lemons can be bought for $16.

To find out how many lemons can be bought for $20, we can compare the amount spent and the number of lemons purchased. From the table, we observe that the cost of lemons increases by $4 for every additional 9 lemons. So, for every $4 increase in cost, the number of lemons increases by 9.

Starting from $16, we need to find how many times $4 can be added to reach $20. $16 + $4 = $20, which means we increase the cost by $4 once. Therefore, the number of lemons purchased will increase by 9 once.

So, for $20, we can buy 36 lemons + 9 lemons = 45 lemons.

Determine the value of x

in the equation below.

1/3x=12

To determine the value of x in the equation 1/3x = 12, we can multiply both sides of the equation by 3.

(1/3x) * 3 = 12 * 3

This simplifies to:

x = 36

Therefore, the value of x in the equation is 36.

Written as a rate, 162 miles in 3 hours would be ____ miles per hour.

To find the rate, we can divide the total distance by the total time.

In this case, the total distance is 162 miles and the total time is 3 hours.

So, 162 miles divided by 3 hours is equal to 54 miles per hour.

Therefore, the rate is 54 miles per hour.

Which answer choice shows the equation below written in a different form?

8 - 4 = 4