Question 1

A business pays 9.00% tax on income from New York and 6% tax on income from New Jersey.The total tax paid is $958.95, and the total income is $12292.Round your answers to the nearest cent. ​
How much income came from each state?
​

Accepted Answer

B

Question 2

Solve the system of equations  ​ Round your answers to two decimal places.
​

Accepted Answer

A

Question 3

Solve the equation  for y.Round your answers to two decimal places, if necessary. ​

Accepted Answer

C

Question 4

Solve the equation  for ​y.Round your answers to two decimal places, if necessary. ​

Accepted Answer

The answer of Solve the equation  for ​y.Round your...

Question 5

We have $32.58 to spend on citrus.Lemons cost $0.73 each, and limes cost $0.69 each.We need a total of 46 pieces of citrus.Round your answers to two decimal places. ​
How many of each are bought?
​

Accepted Answer

To find the correct combination, solve the system of equations: 0.73L + 0.69M = 32.58 and L + M = 46. Solving these gives L = 21 and M = 25.

Question 6

There is no solution of a system of two linear equations in two unknowns if the graphs of the equations are parallel lines.

Accepted Answer

If the graphs of two linear equations are parallel lines, it means they have the same slope but different y-intercepts, indicating that they never intersect. Therefore, there is no point that satisfies both equations simultaneously, meaning there is no solution to the system.

Question 7

Solve the system of equations  ​ Round your answers to two decimal places.
​

Accepted Answer

The answer of Solve the system of equations  ​...

Question 8

It is never possible to solve a system of three equations in three unknowns.

Accepted Answer

It is often possible to solve a system of three equations in three unknowns, especially if the system is linear and the equations are independent, allowing for a unique solution.

Question 9

Solve the equation  for ​y.Round your answers to two decimal places, if necessary. ​

Accepted Answer

The answer of Solve the equation  for ​y.Round your...

Question 10

Solve the equation  for ​y.Round your answers to two decimal places, if necessary. ​

Accepted Answer

The answer of Solve the equation  for ​y.Round your...

Question 11

We have $16.12 to spend on vegetable plants for our garden.Tomato plants cost $0.88 each, and pepper plants cost $0.36 each.There is space in the garden for 26 plants.Round your answers to two decimal places. ​
How many of each are bought?
​

Accepted Answer

Let x be the number of tomato plants and y be the number of pepper plants.We have the following system of equations:x + y = 260.88x + 0.36y = 16.12Solving this system of equations, we get x = 13 and y = 13.Therefore, the correct answer is D) 13.00 tomatoes and 13.00 peppers.

Question 12

A group of 40 parents and children plan to go to the zoo.For safety, there must be one parent for each 4.00 children.Round your answers to two decimal places. ​
How many parents and how many children go to the zoo?
​
​

Accepted Answer

Given the requirement of one parent for every four children, the total group of 40 people must be divided in a way that adheres to this ratio. Option B suggests 8 parents; multiplying 8 by 4 gives 32 children, which together makes a total of 40 people, fitting the requirement perfectly.

Question 13

A system of two linear equations in two unknowns can be solved graphically.

Accepted Answer

Graphically, each linear equation in two unknowns can be represented by a straight line on a coordinate plane, and the solution to the system is the point where the two lines intersect.

Question 14

If the lines determined by two linear equations meet, then the crossing point corresponds to the solution of the system of two linear equations in two unknowns.

Accepted Answer

When two linear equations intersect, the point of intersection satisfies both equations simultaneously, making it the solution to the system of equations.

Question 15

We have $55.71 to spend on drinks and chips.Drinks cost $0.74 each and chips cost $2.49 per bag.There are 5.00 times as many drinks as bags of chips.How many of each are bought? Round your answers to two decimal places. ​

Accepted Answer

Let x be the number of bags of chips. Then, the number of drinks is 5x. The total cost is 0.74(5x) + 2.49(x) = 55.71. Solving gives x = 9, so there are 9 bags of chips and 45 drinks.

Question 16

Solve the equation  for y.Round your answers to two decimal places, if necessary. ​

Accepted Answer

The answer of Solve the equation  for y.Round your...

Question 17

Solve the system of equations  ​ Round your answers to two decimal places.
​

Accepted Answer

The answer of Solve the system of equations  ​...

Question 18

Solve the equation  for ​y.Round your answers to two decimal places, if necessary. ​

Accepted Answer

The answer of Solve the equation  for ​y.Round your...

Question 19

After returning from a trip to Mexico you find that you have several dollars and several pesos in your pocket.Each peso has a value of $0.17.There are a total of 85 items, and they have a total value of $24.41.Round your answers to two decimal places. ​
How many dollars and how many pesos are in your pocket?
​​

Accepted Answer

The answer of After returning from a trip to Mexico...

Question 20

Solve the equation  for ​y.Round your answers to two decimal places, if necessary. ​

Accepted Answer

The answer of Solve the equation  for ​y.Round your...

Quiz 15: Systems of Equations

A business pays 9.00% tax on income from New York and 6% tax on income from New Jersey.The total tax paid is $958.95, and the total income is $12292.Round your answers to the nearest cent. How much income came from each state?

Solve the system of equations Round your answers to two decimal places.

Solve the equation for y.Round your answers to two decimal places, if necessary.

Solve the equation for y.Round your answers to two decimal places, if necessary.

We have $32.58 to spend on citrus.Lemons cost $0.73 each, and limes cost $0.69 each.We need a total of 46 pieces of citrus.Round your answers to two decimal places. How many of each are bought?

There is no solution of a system of two linear equations in two unknowns if the graphs of the equations are parallel lines.

Solve the system of equations Round your answers to two decimal places.

It is never possible to solve a system of three equations in three unknowns.

Solve the equation for y.Round your answers to two decimal places, if necessary.

Solve the equation for y.Round your answers to two decimal places, if necessary.

We have $16.12 to spend on vegetable plants for our garden.Tomato plants cost $0.88 each, and pepper plants cost $0.36 each.There is space in the garden for 26 plants.Round your answers to two decimal places. How many of each are bought?

A group of 40 parents and children plan to go to the zoo.For safety, there must be one parent for each 4.00 children.Round your answers to two decimal places. How many parents and how many children go to the zoo?

A system of two linear equations in two unknowns can be solved graphically.

If the lines determined by two linear equations meet, then the crossing point corresponds to the solution of the system of two linear equations in two unknowns.

We have $55.71 to spend on drinks and chips.Drinks cost $0.74 each and chips cost $2.49 per bag.There are 5.00 times as many drinks as bags of chips.How many of each are bought? Round your answers to two decimal places.

Solve the equation for y.Round your answers to two decimal places, if necessary.

Solve the system of equations Round your answers to two decimal places.

Solve the equation for y.Round your answers to two decimal places, if necessary.

Solve the equation for y.Round your answers to two decimal places, if necessary.

Quiz 15: Systems of Equations

A business pays 9.00% tax on income from New York and 6% tax on income from New Jersey.The total tax paid is $958.95, and the total income is $12292.Round your answers to the nearest cent. ​ How much income came from each state? ​

Solve the system of equations ​ Round your answers to two decimal places. ​

Solve the equation for y.Round your answers to two decimal places, if necessary. ​

Solve the equation for ​y.Round your answers to two decimal places, if necessary. ​

We have $32.58 to spend on citrus.Lemons cost $0.73 each, and limes cost $0.69 each.We need a total of 46 pieces of citrus.Round your answers to two decimal places. ​ How many of each are bought? ​

There is no solution of a system of two linear equations in two unknowns if the graphs of the equations are parallel lines.

Solve the system of equations ​ Round your answers to two decimal places. ​

It is never possible to solve a system of three equations in three unknowns.

Solve the equation for ​y.Round your answers to two decimal places, if necessary. ​

Solve the equation for ​y.Round your answers to two decimal places, if necessary. ​

We have $16.12 to spend on vegetable plants for our garden.Tomato plants cost $0.88 each, and pepper plants cost $0.36 each.There is space in the garden for 26 plants.Round your answers to two decimal places. ​ How many of each are bought? ​

A group of 40 parents and children plan to go to the zoo.For safety, there must be one parent for each 4.00 children.Round your answers to two decimal places. ​ How many parents and how many children go to the zoo? ​ ​

A system of two linear equations in two unknowns can be solved graphically.

If the lines determined by two linear equations meet, then the crossing point corresponds to the solution of the system of two linear equations in two unknowns.

We have $55.71 to spend on drinks and chips.Drinks cost $0.74 each and chips cost $2.49 per bag.There are 5.00 times as many drinks as bags of chips.How many of each are bought? Round your answers to two decimal places. ​

Solve the equation for y.Round your answers to two decimal places, if necessary. ​

Solve the system of equations ​ Round your answers to two decimal places. ​

Solve the equation for ​y.Round your answers to two decimal places, if necessary. ​

Solve the equation for ​y.Round your answers to two decimal places, if necessary. ​

A business pays 9.00% tax on income from New York and 6% tax on income from New Jersey.The total tax paid is $958.95, and the total income is $12292.Round your answers to the nearest cent. How much income came from each state?

Solve the system of equations Round your answers to two decimal places.

Solve the equation for y.Round your answers to two decimal places, if necessary.

Solve the equation for y.Round your answers to two decimal places, if necessary.

We have $32.58 to spend on citrus.Lemons cost $0.73 each, and limes cost $0.69 each.We need a total of 46 pieces of citrus.Round your answers to two decimal places. How many of each are bought?

Solve the system of equations Round your answers to two decimal places.

Solve the equation for y.Round your answers to two decimal places, if necessary.

Solve the equation for y.Round your answers to two decimal places, if necessary.

We have $16.12 to spend on vegetable plants for our garden.Tomato plants cost $0.88 each, and pepper plants cost $0.36 each.There is space in the garden for 26 plants.Round your answers to two decimal places. How many of each are bought?

A group of 40 parents and children plan to go to the zoo.For safety, there must be one parent for each 4.00 children.Round your answers to two decimal places. How many parents and how many children go to the zoo?

We have $55.71 to spend on drinks and chips.Drinks cost $0.74 each and chips cost $2.49 per bag.There are 5.00 times as many drinks as bags of chips.How many of each are bought? Round your answers to two decimal places.

Solve the equation for y.Round your answers to two decimal places, if necessary.

Solve the system of equations Round your answers to two decimal places.

Solve the equation for y.Round your answers to two decimal places, if necessary.

Solve the equation for y.Round your answers to two decimal places, if necessary.