Judy has $100 and Elenore has $75. Judy is saving $5 per day and Elenore is saving $7 per day. (4 points)

Question

Judy has $100 and Elenore has $75. Judy is saving $5 per day and Elenore is saving $7 per day. (4 points)

What equation represent how much money Judy will have in total after saving for d days?____
What equation represents how much money Elenore will have in total after saving for d days?____
What equation would be used to find out how many days it will take for Judy and Elenore to have the same amount of money saved?___
After the number of days it took both to have the same amount of money saved, how much money do they have each?___

Answer 1

The equation representing how much money Judy will have in total after saving for d days is:

Judy's total money = $100 + $5*d

The equation representing how much money Elenore will have in total after saving for d days is:
Elenore's total money = $75 + $7*d

The equation used to find out how many days it will take for Judy and Elenore to have the same amount of money saved is:
$100 + $5*d = $75 + $7*d

After the number of days it took both to have the same amount of money saved, they would each have:
Judy's money = Elenore's money = the amount of money in the equation above.

Answer 2

The equation that represents how much money Judy will have in total after saving for d days is:

Judy's total money = $100 + ($5 * d)

The equation that represents how much money Elenore will have in total after saving for d days is:

Elenore's total money = $75 + ($7 * d)

The equation that would be used to find out how many days it will take for Judy and Elenore to have the same amount of money saved is:

$100 + ($5 * d) = $75 + ($7 * d)

After the number of days it took for both Judy and Elenore to have the same amount of money saved, they would each have:

$100 + ($5 * d) = $75 + ($7 * d)

Solving this equation would give the amount of money they each have at the point of intersection.

Answer 3

To answer these questions, let's break down the information given and use variables to represent the unknowns.

1. Equation representing how much money Judy will have in total after saving for d days:
Judy saves $5 per day, and she has $100 to start with. Therefore, the equation can be written as:
Total money Judy will have = $100 + ($5 * d)

2. Equation representing how much money Elenore will have in total after saving for d days:
Elenore saves $7 per day, and she has $75 to start with. Therefore, the equation can be written as:
Total money Elenore will have = $75 + ($7 * d)

3. Equation to find out how many days it will take for Judy and Elenore to have the same amount of money saved:
We need to equate the total money Judy and Elenore will have and solve for d.
So, the equation can be written as:
$100 + ($5 * d) = $75 + ($7 * d)

4. After the number of days it took both Judy and Elenore to have the same amount of money saved, we can substitute the value of d into either of the previous equations to find out how much money each person has.

Answer 4

Judy has $100 and Elenore has $75. Judy is saving $5 per day and Elenore is saving $7 per day. (4 points)

What equation represent how much money Judy will have in total after saving for d days?____
What equation represents how much money Elenore will have in total after saving for d days?____
What equation would be used to find out how many days it will take for Judy and Elenore to have the same amount of money saved?___
After the number of days it took both to have the same amount of money saved, how much money do they have each?___

Answer 5

1. The equation representing how much money Judy will have in total after saving for d days is:

Judy's total money = $100 + ($5 * d)

2. The equation representing how much money Elenore will have in total after saving for d days is:
Elenore's total money = $75 + ($7 * d)

3. The equation that would be used to find out how many days it will take for Judy and Elenore to have the same amount of money saved is:
$100 + ($5 * d) = $75 + ($7 * d)

4. After the number of days it took for both Judy and Elenore to have the same amount of money saved, we can substitute the value of d into either of the previous equations to find out how much money each person has.

Answer 6

How could you check to see if the point (5, 6) is the solution to the Linear System of equations?(1 point) Responses Substitute 5 in for x and 6 in for y in both of the equations to see if both equations are true. Substitute 5 in for x and 6 in for y in both of the equations to see if both equations are true. Substitute 6 in for x and 5 in for y in one of the equations to see if the equation is true. Substitute 6 in for x and 5 in for y in one of the equations to see if the equation is true. Substitute 6 in for x and 5 in for y in both of the equations to see if both equations are true. Substitute 6 in for x and 5 in for y in both of the equations to see if both equations are true. Substitute 5 in for x and 6 in for y in one of the equations to see if the equation is true.

Answer 7

To check if the point (5, 6) is the solution to the linear system of equations, we need to substitute 5 for x and 6 for y in both of the equations and see if both equations are true.

So, we substitute 5 for x and 6 for y in the equations and evaluate them as follows:

Equation 1: 2x + 3y = 23
2(5) + 3(6) = 23
10 + 18 = 23
28 = 23 <--- This is not true

Equation 2: 4x - 2y = 10
4(5) - 2(6) = 10
20 - 12 = 10
8 = 10 <--- This is not true

Since both equations are not true when we substitute the values, (5, 6) is not the solution to the system of equations.

Answer 8

You are running a concession stand at a baseball game. You are selling pizza slices and sodas. Each pizza slice sells for $3.50 and each soda sells for $1.50. At the end of the night, you made a total of $800. You sold a total of 344 pizza slices and sodas combined. You must report the number of pizza slices sold and the number of sodas sold. What equations did you use to solve this, where P = the number of pizza slices sold and S = the number of sodas sold? (1 point) Responses 3.50S + 1.50P = 344 and P + S = 800 3.50S + 1.50P = 344 and P + S = 800 3.50P + 1.50S = 800 and P + S = 344 3.50P + 1.50S = 800 and P + S = 344 3.50P + S = 800 and P + 1.50S = 344 3.50P + S = 800 and P + 1.50S = 344 3.50S + 1.50P = 800 and P + S = 344

Answer 9

The equations used to solve this problem are:

1. 3.50S + 1.50P = 800
This equation represents the total amount of money made from selling pizza slices and sodas, which is $800.

2. P + S = 344
This equation represents the total number of pizza slices and sodas sold, which is 344.

Therefore, the correct answer is: 3.50S + 1.50P = 800 and P + S = 344.

Answer 10

Check all that apply. Select the statement(s) that correctly describes the solution to this system of equations: 8x−2y=−4 4x−y=−2 (2 points) Responses Solve this system by elimination since it is already in standard form and lined up nicely. Solve this system by elimination since it is already in standard form and lined up nicely. There is exactly one solution to this system of linear equations and it is (2, 0). There is exactly one solution to this system of linear equations and it is (2, 0). There are infinite solutions to this system of linear equations. There are infinite solutions to this system of linear equations. These lines are parallel, so there is no solution to this system of linear equations. These lines are parallel, so there is no solution to this system of linear equations. There is exactly one solution to this system of linear equations and it is (0, -2). There is exactly one solution to this system of linear equations and it is (0, -2). Solve this system by substitution since one of the variables is defined by the other without having to do any math.