Question 1

Solve.
-One number is four more than a second number. Twice the second is three more than the first. Find the numbers.

Accepted Answer

The answer of Solve.
-One number is four more than a...

Question 2

Solve.
-Four times one number minus a second is 11, and the sum of the numbers is 14. Find the numbers.

Accepted Answer

The answer of Solve.
-Four times one number minus a second...

Question 3

Solve.
-An L1011 traveled 645 mph with the wind and 575 mph against the wind. Find the speed of the plane in still air and the speed of the wind.

Accepted Answer

The answer of Solve.
-An L1011 traveled 645 mph with the...

Question 4

Solve.
-A boat traveled 27.5 mph with the current and 12.5 mph against the current. Find the speed of the boat in still water and the speed of the current.

Accepted Answer

The answer of Solve.
-A boat traveled 27.5 mph with the...

Question 5

Solve.
-Find how many milliliters of 3% acid solution and 7% acid solution should be mixed to yield 120 ml of 5% acid solution.

Accepted Answer

The answer of Solve.
-Find how many milliliters of 3% acid...

Question 6

Solve.
-Find how many pounds of horse fee with 20% oats and horse feed with 5% oats should be mixed to yield 20 pounds of horse feed with 11% oats.

Accepted Answer

The answer of Solve.
-Find how many pounds of horse fee...

Question 7

Solve.
-A movie theater charges $7.50 for adults and $4.50 for children. The receipts for one showing of a movie were $540. If 80 tickets were sold, find how many tickets of each type were sold.

Accepted Answer

The answer of Solve.
-A movie theater charges $7.50 for adults...

Question 8

Solve.
-A purchaser for an office supply store got a special deal from a paper manufacturer. He bought 12 reams of printer paper and 8 boxes of writing tablets for $236. Later that day, he bought 9 reams of printer paper and 10 boxes of writing tablets for$205. Find his price for one ream of printer paper and one box of writing tablets.

Accepted Answer

The answer of Solve.
-A purchaser for an office supply store...

Question 9

Solve.
-The perimeter of a rectangle is 58 meters. Its length is 5 meters more than its width. Find the length and the width of the rectangle.

Accepted Answer

The answer of Solve.
-The perimeter of a rectangle is 58...

Question 10

Solve.
-The measure of the third angle of an isosceles triangle is 30$^\circ$ less than the measure of the base angles. Find the measure of all three angles.

Accepted Answer

The answer of Solve.
-The measure of the third angle of...

Question 11

Solve.
-A new salesperson has a choice of two pay arrangements: a weekly salary of $400 plus 10% commission on sales, or a weekly salary of $138 plus 15% commission on sales. Find the amount of sales for which the two arrangements pay the same.

Accepted Answer

The answer of Solve.
-A new salesperson has a choice of...

Question 12

Solve.
-A store rents video tapes for $3.50 a day. A club charges $15 a month for membership. Members can rent video tapes for $1 a day. How many video tapes do you need to rent per month for the two options to cost the same and what would your total monthly cost be?

Accepted Answer

The answer of Solve.
-A store rents video tapes for $3.50...

Question 13

Solve.
-Peanuts cost $0.79 a pound, cashews $2.49 a pound, and walnuts $1.89 a pound. A store clerk needs to make 2 pounds of mixed nuts using these three types so the total cost is $2.97. If she wants to use 3 times as much peanuts as cashews, find how much of each type of nut she should use.

Accepted Answer

The answer of Solve.
-Peanuts cost $0.79 a pound, cashews $2.49...

Question 14

Solve.
-A community theater group sold 620 tickets to a performance for $3670. Orchestra tickets cost $8.50, balcony tickets cost $2.50, and all others cost $6.50. If they sold twice as many balcony tickets as orchestra tickets, how many did they sell of each type?

Accepted Answer

The answer of Solve.
-A community theater group sold 620 tickets...

Question 15

Solve.
-The sum of the measures of the angles of a quadrilateral is 360$^\circ$. The smallest angle in a certain quadrilateral has a measure of 49$^\circ$. The measure of the second angle is 30$^\circ$ more than the measure of the third. The measure of the fourth angle is 10$^\circ$ less than the measure of the third. Find the measure of all four angles.

Accepted Answer

The answer of Solve.
-The sum of the measures of the...

Question 16

Solve.
-The perimeter of a triangle is 30 centimeters. One side is one centimeter longer than the second side. The second side is 2 centimeters longer than twice the length of the third side. Find the length of each side.

Accepted Answer

The answer of Solve.
-The perimeter of a triangle is 30...

Question 17

Given the cost function C(x) and the revenue function R(x), find the number of units x that must be sold to break even.
-C(x) = 40x + 12,000
R(x) = 55x

Accepted Answer

The answer of Given the cost function C(x) and the...

Question 18

Given the cost function C(x) and the revenue function R(x), find the number of units x that must be sold to break even.
-C(x) = 1.1x + 2000
R(x) = 1.9x

Accepted Answer

The answer of Given the cost function C(x) and the...

Question 19

Given the cost function C(x) and the revenue function R(x), find the number of units x that must be sold to break even.
-C(x) = 15x + 18,000
R(x) = 24x

Accepted Answer

The answer of Given the cost function C(x) and the...

Question 20

Given the cost function C(x) and the revenue function R(x), find the number of units x that must be sold to break even.
-C(x) = 1.2x + 1665
R(x) = 3x

Accepted Answer

The answer of Given the cost function C(x) and the...

Quiz 4: Systems of Equations and Inequalities

Solve. -One number is four more than a second number. Twice the second is three more than the first. Find the numbers.

Solve. -Four times one number minus a second is 11, and the sum of the numbers is 14. Find the numbers.

Solve. -An L1011 traveled 645 mph with the wind and 575 mph against the wind. Find the speed of the plane in still air and the speed of the wind.

Solve. -A boat traveled 27.5 mph with the current and 12.5 mph against the current. Find the speed of the boat in still water and the speed of the current.

Solve. -Find how many milliliters of 3% acid solution and 7% acid solution should be mixed to yield 120 ml of 5% acid solution.

Solve. -Find how many pounds of horse fee with 20% oats and horse feed with 5% oats should be mixed to yield 20 pounds of horse feed with 11% oats.

Solve. -A movie theater charges $7.50 for adults and $4.50 for children. The receipts for one showing of a movie were $540. If 80 tickets were sold, find how many tickets of each type were sold.

Solve. -The perimeter of a rectangle is 58 meters. Its length is 5 meters more than its width. Find the length and the width of the rectangle.

Solve. -The measure of the third angle of an isosceles triangle is 30 $^\circ$ less than the measure of the base angles. Find the measure of all three angles.

Solve. -A new salesperson has a choice of two pay arrangements: a weekly salary of $400 plus 10% commission on sales, or a weekly salary of $138 plus 15% commission on sales. Find the amount of sales for which the two arrangements pay the same.

Solve. -A store rents video tapes for $3.50 a day. A club charges $15 a month for membership. Members can rent video tapes for $1 a day. How many video tapes do you need to rent per month for the two options to cost the same and what would your total monthly cost be?

Solve. -Peanuts cost $0.79 a pound, cashews $2.49 a pound, and walnuts $1.89 a pound. A store clerk needs to make 2 pounds of mixed nuts using these three types so the total cost is $2.97. If she wants to use 3 times as much peanuts as cashews, find how much of each type of nut she should use.

Solve. -A community theater group sold 620 tickets to a performance for $3670. Orchestra tickets cost $8.50, balcony tickets cost $2.50, and all others cost $6.50. If they sold twice as many balcony tickets as orchestra tickets, how many did they sell of each type?

Solve. -The perimeter of a triangle is 30 centimeters. One side is one centimeter longer than the second side. The second side is 2 centimeters longer than twice the length of the third side. Find the length of each side.

Given the cost function C(x) and the revenue function R(x), find the number of units x that must be sold to break even. -C(x) = 40x + 12,000 R(x) = 55x

Given the cost function C(x) and the revenue function R(x), find the number of units x that must be sold to break even. -C(x) = 1.1x + 2000 R(x) = 1.9x

Given the cost function C(x) and the revenue function R(x), find the number of units x that must be sold to break even. -C(x) = 15x + 18,000 R(x) = 24x

Given the cost function C(x) and the revenue function R(x), find the number of units x that must be sold to break even. -C(x) = 1.2x + 1665 R(x) = 3x

Quiz 4: Systems of Equations and Inequalities

Solve. -One number is four more than a second number. Twice the second is three more than the first. Find the numbers.

Solve. -Four times one number minus a second is 11, and the sum of the numbers is 14. Find the numbers.

Solve. -An L1011 traveled 645 mph with the wind and 575 mph against the wind. Find the speed of the plane in still air and the speed of the wind.

Solve. -A boat traveled 27.5 mph with the current and 12.5 mph against the current. Find the speed of the boat in still water and the speed of the current.

Solve. -Find how many milliliters of 3% acid solution and 7% acid solution should be mixed to yield 120 ml of 5% acid solution.

Solve. -Find how many pounds of horse fee with 20% oats and horse feed with 5% oats should be mixed to yield 20 pounds of horse feed with 11% oats.

Solve. -A movie theater charges $7.50 for adults and $4.50 for children. The receipts for one showing of a movie were $540. If 80 tickets were sold, find how many tickets of each type were sold.

Solve. -The perimeter of a rectangle is 58 meters. Its length is 5 meters more than its width. Find the length and the width of the rectangle.

Solve. -The measure of the third angle of an isosceles triangle is 30 ∘^\circ∘ less than the measure of the base angles. Find the measure of all three angles.

Solve. -A new salesperson has a choice of two pay arrangements: a weekly salary of $400 plus 10% commission on sales, or a weekly salary of $138 plus 15% commission on sales. Find the amount of sales for which the two arrangements pay the same.

Solve. -A store rents video tapes for $3.50 a day. A club charges $15 a month for membership. Members can rent video tapes for $1 a day. How many video tapes do you need to rent per month for the two options to cost the same and what would your total monthly cost be?

Solve. -Peanuts cost $0.79 a pound, cashews $2.49 a pound, and walnuts $1.89 a pound. A store clerk needs to make 2 pounds of mixed nuts using these three types so the total cost is $2.97. If she wants to use 3 times as much peanuts as cashews, find how much of each type of nut she should use.

Solve. -A community theater group sold 620 tickets to a performance for $3670. Orchestra tickets cost $8.50, balcony tickets cost $2.50, and all others cost $6.50. If they sold twice as many balcony tickets as orchestra tickets, how many did they sell of each type?

Solve. -The perimeter of a triangle is 30 centimeters. One side is one centimeter longer than the second side. The second side is 2 centimeters longer than twice the length of the third side. Find the length of each side.

Given the cost function C(x) and the revenue function R(x), find the number of units x that must be sold to break even. -C(x) = 40x + 12,000 R(x) = 55x

Given the cost function C(x) and the revenue function R(x), find the number of units x that must be sold to break even. -C(x) = 1.1x + 2000 R(x) = 1.9x

Given the cost function C(x) and the revenue function R(x), find the number of units x that must be sold to break even. -C(x) = 15x + 18,000 R(x) = 24x

Given the cost function C(x) and the revenue function R(x), find the number of units x that must be sold to break even. -C(x) = 1.2x + 1665 R(x) = 3x

Solve. -The measure of the third angle of an isosceles triangle is 30 $^\circ$ less than the measure of the base angles. Find the measure of all three angles.