Joey is buying a new flat-screen TV for $359.99. Sales tax in Joey's state is 8.25%. Calculate the amount of sales tax that Joey will pay for the purchase.(1 point)
Responses
$2.97
$2.97
$389.69
$389.69
$29.70
$29.70
$43.64
To calculate the sales tax, we need to multiply the price of the TV by the tax rate.
Sales tax = 359.99 * 0.0825 = $29.70
So, the amount of sales tax Joey will pay for the purchase is $29.70.
A package of 6 pairs of socks costs $5.16. How will the rate per pair change if the price for the package decreases to $4.50?(1 point)
Responses
The price decreases by $0.66 per pair.
The price decreases by $0.66 per pair.
The price decreases by $0.11 per pair.
The price decreases by $0.11 per pair.
The price decreases by $0.75 per pair.
The price decreases by $0.75 per pair.
The price decreases by $0.09 per pair.
To find the rate per pair, we need to divide the price of the package by the number of pairs in the package.
Rate per pair = Price of package / Number of pairs
For the initial package:
Rate per pair = 5.16 / 6 = $0.86
For the decreased package:
Rate per pair = 4.50 / 6 = $0.75
Therefore, the rate per pair decreases by $0.11.
If the measure of one angle is x
degrees, which equation represents the relationship between x
and its supplementary angle, y
, in degrees?(1 point)
Responses
x = 180 + y
x = 180 + y
x + y = 180
x + y = 180
x = 360 - y
x = 360 - y
x - y = 180
The relationship between the angle x and its supplementary angle y is that they add up to 180 degrees. So, the equation that represents this relationship is:
x + y = 180
A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent the situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.
Which statement best describes the depth of the fish, given this equation?
(1 point)
Responses
From a starting position of 3 meters below sea level, the fish is descending 3 meters per second.
From a starting position of 3 meters below sea level, the fish is descending 3 meters per second.
From a starting position of 3 meters below sea level, the fish is ascending 3 meters per second.
From a starting position of 3 meters below sea level, the fish is ascending 3 meters per second.
From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.
From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.
From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.
The equation y = -7x - 3 means that the depth of the fish, y, is equal to -7 times the number of seconds the fish has been swimming, x, minus 3.
From the equation, we can see that the coefficient of x is -7. This means that for every second the fish swims, the depth decreases by 7 meters.
Also, since the starting position is 3 meters below sea level, the fish is descending 3 meters as well.
Therefore, the best description of the depth of the fish is:
From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.