y = 5x + 7: Infinite solutions
3y - 15x = 18: One solution
y = 3x + 6: One solution
y = -13x - 4: One solution
x - 2y = 6: One solution
3x - 6y = 18: One solution
y = 23x - 1: One solution
y = 23x - 2: One solution
Match the system of equations to the number of solutions it has. You can use your Graphing Calculator! (4 points) Put responses in the correct input to answer the question. Select a response%2C navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar%2C enter key%2C left mouse button or touchpad. Responses can also be moved by dragging with a mouse. y %3D 5x %2B 7 3y - 15x %3D 18 y %3D 3x %2B 6 y %3D -13x - 4 x - 2y %3D 6 3x - 6y %3D 18 y %3D 23x - 1 y %3D 23x - 2
3 answers
Judy has %24100 and Elenore has %2475. Judy is saving %245 per day and Elenore is saving %247 per day. (4 points) What equation represent how much money Judy will have in total after saving for d days%3F What equation represents how much money Elenore will have in total after saving for d days%3F 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%3F After the number of days it took both to have the same amount of money saved%2C how much money do they have each%3F
The equation that represents how much money Judy will have in total after saving for d days is:
Judy's total savings = $100 + ($5 × d)
The equation that represents how much money Elenore will have in total after saving for d days is:
Elenore's total savings = $75 + ($7 × d)
The equation that can be used to find out how many days it will take for Judy and Elenore to have the same amount of money saved is:
Judy's total savings = Elenore's total savings
$100 + ($5 × d) = $75 + ($7 × d)
To solve this equation and find the number of days it will take for Judy and Elenore to have the same amount of money saved, we can subtract $75 from both sides and then divide by the difference in saving rates:
$100 - $75 = ($7 × d) - ($5 × d)
$25 = $2 × d
25/2 = d
After the number of days it took both to have the same amount of money saved (d = 12.5 days), we can substitute this value into either of the original equations to find out how much money they each have:
Judy's total savings = $100 + ($5 × 12.5) = $100 + $62.5 = $162.5
Elenore's total savings = $75 + ($7 × 12.5) = $75 + $87.5 = $162.5
So, after 12.5 days, both Judy and Elenore have $162.5 each.
Judy's total savings = $100 + ($5 × d)
The equation that represents how much money Elenore will have in total after saving for d days is:
Elenore's total savings = $75 + ($7 × d)
The equation that can be used to find out how many days it will take for Judy and Elenore to have the same amount of money saved is:
Judy's total savings = Elenore's total savings
$100 + ($5 × d) = $75 + ($7 × d)
To solve this equation and find the number of days it will take for Judy and Elenore to have the same amount of money saved, we can subtract $75 from both sides and then divide by the difference in saving rates:
$100 - $75 = ($7 × d) - ($5 × d)
$25 = $2 × d
25/2 = d
After the number of days it took both to have the same amount of money saved (d = 12.5 days), we can substitute this value into either of the original equations to find out how much money they each have:
Judy's total savings = $100 + ($5 × 12.5) = $100 + $62.5 = $162.5
Elenore's total savings = $75 + ($7 × 12.5) = $75 + $87.5 = $162.5
So, after 12.5 days, both Judy and Elenore have $162.5 each.
3 answers