# maths

Part 1. Show your work for questions 1-51. Hanna needs to rent a car while on vacation. The rental charges \$18.95, plus 19 cents for each mile driven. If Hanna only has \$40 to spend on the car rental, what is the maximum number of miles she can drive? Round your answer down to the nearest whole mile.2. You need 1 ¼ cups of sugar to make 20 cookies. To make14 cookies, you will need how many cups of sugar.3. Katy invests \$8000 at 9% simple interest for 9 year. How much is in the account at the end of the 9 years period?4. A board, 33 cm long is cut into three pieces such that the second piece is twice as long as the first and the third is 3 cm longer than the second. Find the length of the shorter piece.5. A cash register contains only five dollar and ten dollar bills. It contains as many fives as tens and the total amount of money in the cash register is 700 dollars. How many tens are in the cash register?For all problems in Part 2 (6-10), show your work for each of the following steps:Step 1. Set up a variable dictionary.Step 2. Set up an equation.Step 3. Solve the equation.Step 4. Answer the question with a sentence.Step 5. Look back.6. The width and length of a rectangle are consecutive even integers. If the perimeter of the rectangle is 132 inches, use the formula for the perimeter of a rectangle to find the width and length of the rectangle.7. Constance inherits \$35,000 and decides to invest in two different types of accounts, a money market account paying 3.75% interest, and a savings account paying 0.5% interest. She decides to invest \$8000 more in the money market account than in the savings account. Find the amount invested in the money market account.8. Naomi collected coins for a month and finds she has \$4.70 (470 cents), all in dimes and quarters. There are 2 less dimes than quarters. How many dimes and quarters does Naomi have?9. Carl earns a commission on all sales he makes. He sells a dining table for \$699 and earns a commission of \$100. Find the percent commission, rounded to the nearest tenth of a percent.10. Suppose that \$7250 is invested at 2.3% simple interest per year. Use the simple interest formula to find the balance after 6 years?