Chapter 1

Beginning and Intermediate Algebra · 520 exercises

Problem 131

Write each sentence as an equation, using $x$ as the variable. Then find the solution of the equation from the set of integers between -12 and $12,$ inclusive. An integer is divisible by 2 if its last digit is divisible by $2,$ and not otherwise. (a) Is 3,473,986 divisible by $2 ?$ (b) Is 4,336,879 divisible by $2 ?$

3 step solution

Problem 131

Solve each problem. In $2006,$ bachelor's degree recipients from private four-year institutions had an average of $\$ 18,800$ in total student debt. This average increased $\$ 1400$ by 2011 and then dropped $\$ 300$ by $2016 .$ What was the average amount of total student debt in $2016 ?$ (Data from The College Board.)

2 step solution

Problem 132

Write each sentence as an equation, using $x$ as the variable. Then find the solution of the equation from the set of integers between -12 and $12,$ inclusive. An integer is divisible by 3 if the sum of its digits is divisible by $3,$ and not otherwise. (a) Is 4,799,232 divisible by $3 ?$ (b) Is 2,443,871 divisible by $3 ?$

5 step solution

Problem 132

Solve each problem. The average annual spending per U.S. household on apparel and apparel services was $\$ 1786$ in 2014. This amount increased $\$ 60$ by 2015 and then decreased $\$ 43$ by 2016 What was the average household expenditure for apparel and apparel services in $2016 ?$ (Data from U.S. Bureau of Labor Statistics.)

3 step solution

Problem 133

Write each sentence as an equation, using $x$ as the variable. Then find the solution of the equation from the set of integers between -12 and $12,$ inclusive. An integer is divisible by 4 if its last two digits form a number divisible by $4,$ and not otherwise. (a) Is 2,876,335 divisible by $4 ?$ (b) Is 6,221,464 divisible by $4 ?$

5 step solution

Problem 133

Solve each problem. In August, Susan began with a checking account balance of $\$ 904.89 .$ She made the following withdrawals and deposits.$$ \begin{array}{|c|c|} \hline \text { Withdrawals } & \text { Deposits } \\ \hline \$ 35.84 & \$ 85.00 \\ \$ 26.14 & \$ 120.76 \\ \$ 3.12 & \\ \hline \end{array} $$ Assuming no other transactions, what was her new account balance?

4 step solution

Problem 134

Write each sentence as an equation, using $x$ as the variable. Then find the solution of the equation from the set of integers between -12 and $12,$ inclusive. An integer is divisible by 5 if its last digit is divisible by $5,$ and not otherwise. (a) Is 9,332,123 divisible by $5 ?$ (b) Is 3,774,595 divisible by $5 ?$

3 step solution

Problem 134

Solve each problem. In September, Jeffery began with a checking account balance of $\$ 537.12 .$ He made the following withdrawals and deposits. $$ \begin{array}{|c|c|} \hline \text { Withdrawals } & \text { Deposits } \\ \hline \$ 41.29 & \$ 80.59 \\ \$ 13.66 & \$ 276.13 \\ \$ 84.40 & \\ \hline \end{array} $$ Assuming no other transactions, what was his new account balance?

6 step solution

Problem 135

Write each sentence as an equation, using $x$ as the variable. Then find the solution of the equation from the set of integers between -12 and $12,$ inclusive. An integer is divisible by 6 if it is divisible by both 2 and $3,$ and not otherwise. (a) Is 1,524,822 divisible by $6 ?$ (b) Is 2,873,590 divisible by $6 ?$

3 step solution

Problem 135

Solve each problem. Linda owes $\$ 870.00$ on her MasterCard account. She returns two items costing $\$ 35.90$ and $\$ 150.00$ and receives credit for these on the account. Next, she makes a purchase of $\$ 82.50$ and then two more purchases of $\$ 10.00$ each. She makes a payment of $\$ 500.00$. She then incurs a finance charge of $\$ 37.23 .$ How much does she still owe?

5 step solution

Problem 136

Write each sentence as an equation, using $x$ as the variable. Then find the solution of the equation from the set of integers between -12 and $12,$ inclusive. An integer is divisible by 8 if its last three digits form a number divisible by $8,$ and not otherwise. (a) Is 2,923,296 divisible by $8 ?$ (b) Is 7,291,623 divisible by $8 ?$

4 step solution

Problem 136

Solve each problem. Marcial owes $\$ 679.00$ on his Visa account. He returns three items costing $\$ 36.89, \$ 29.40$, and $\$ 113.55$ and receives credit for these on the account. Next, he makes purchases of $\$ 135.78$ and $\$ 412.88$ and two purchases of $\$ 20.00$ each. He makes a payment of $\$ 400$. He then incurs a finance charge of $\$ 24.57 .$ How much does he still owe?

6 step solution

Problem 137

Write each sentence as an equation, using $x$ as the variable. Then find the solution of the equation from the set of integers between -12 and $12,$ inclusive. An integer is divisible by 9 if the sum of its digits is divisible by $9,$ and not otherwise. (a) Is 2,287,321 divisible by $9 ?$ (b) Is 4,114,107 divisible by $9 ?$

5 step solution

Problem 138

Write each sentence as an equation, using $x$ as the variable. Then find the solution of the equation from the set of integers between -12 and $12,$ inclusive. An integer is divisible by 12 if it is divisible by both 3 and $4,$ and not otherwise. (a) Is 4,249,474 divisible by $12 ?$ (b) Is 4,253,520 divisible by $12 ?$

4 step solution

Problem 139

To find the average (mean) of a group of numbers, we add the numbers and then divide the sum by the number of terms added. Work Exercises 139-142 in order, to find the average of $23,18,13,-4,$ and -8 Find the sum of the given group of numbers.

3 step solution

Problem 140

4 step solution

Problem 142

4 step solution

Problem 143

Find the average of each group of numbers. -15,29,8,-6

4 step solution

Problem 144

Find the average of each group of numbers. -17,34,9,-2

3 step solution

Problem 146

Find the average of each group of numbers. All integers between -15 and $-10,$ including both -15 and -10

4 step solution

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