Question

solve each problem. show your work. 1 simplify 2.4(-3.3 - 0.9 + 1.2). 3 dave has $358.00 in his bank account. he wants to prepay his cell phone bill for the next three months. his monthly cell phone bill is $78.50. he also needs to pay his electric bill, which is $135.00. how much money will dave need to add to his account to cover all the bills?

Explanation:

Problem 1: Simplify \( 2.4(-3.3 - 0.9 + 1.2) \)

Step 1: Simplify inside the parentheses

First, we calculate the value inside the parentheses. We have \( -3.3 - 0.9 + 1.2 \). Let's perform the operations from left to right.
\( -3.3 - 0.9 = -4.2 \), then \( -4.2 + 1.2 = -3 \). So the expression inside the parentheses simplifies to \( -3 \).

Step 2: Multiply by 2.4

Now we multiply \( 2.4 \) by the result from Step 1, which is \( -3 \). So we have \( 2.4 \times (-3) \).
\( 2.4 \times (-3) = -7.2 \)

Step 1: Calculate total cell phone bill for 3 months

Dave's monthly cell phone bill is \( \$78.50 \). For 3 months, we multiply the monthly bill by 3. So \( 78.50 \times 3 = 235.50 \) dollars.

Step 2: Calculate total bills to pay

Dave also has to pay an electric bill of \( \$135.00 \). So we add the total cell phone bill and the electric bill.
\( 235.50 + 135.00 = 370.50 \) dollars. This is the total amount he needs to pay for both bills.

Step 3: Calculate the amount needed to add

Dave has \( \$358.00 \) in his account. To find out how much he needs to add, we subtract the amount he has from the total bills.
\( 370.50 - 358.00 = 12.50 \) dollars.

Answer:

\( -7.2 \)

Problem 3: Dave's Bank Account and Bills