The price of a camera was x dollars. Christina purchased the camera for $25 less than the list price. The sales tax is 6%. Write an expression for how much Christina paid for the camera including the sales tax. The price of a camera was x dollars. Christina purchased the camera for $25 less than the list price. The sales tax is 6%. Write an expression for how much Christina paid for the camera including the sales tax.
(1.06x - 25) dollars
(1.06x - 26.50) dollars
(1.6x - 40.60) dollars
(1.6x - 25) dollars
Brad is y years old. Tyler is 6 years younger than Brad. If Larissa is twice the age of Tyler, how old is Larissa in terms of y?
Larissa is (2y) years old.
Larissa is (2y−6) years old.
Larissa is (2y−12) years old.
Larissa is (2y+12) years old.
Nick drove x miles per hour for 3 hours and (3x-50) miles per hour for the next 4.5 hours. Express the total distance he traveled in terms of x.
Nick drove (13.5x−225) miles.
Nick drove (12x−150) miles.
Nick drove (6x−50) miles.
Nick drove (16.5x−225) miles.
The cost of manufacturing a small bottle of shampoo is (h + 0.45) dollars. The cost of manufacturing a large bottle of shampoo is (h+ 0.35) dollars more than the cost of the small bottle. If the production plant makes 20,000 small bottles and 30,000 large bottles of shampoo each day, what are its cost for a day of production?
(50,000h+31,500) dollars
(80,000h+31.500) dollars
(50,000h+18,000) dollars
(80,000h+18,000) dollars
Thanks -U-
is there any questions on here that u know?
To find the expression for how much Christina paid for the camera including the sales tax, we start with the list price, which is x dollars.
Christina purchased the camera for $25 less than the list price, so the price she paid before sales tax is (x - 25) dollars.
To include the sales tax, we need to add 6% of the price to the amount Christina paid.
So, the expression for how much Christina paid for the camera including the sales tax is: (1.06 * (x - 25)) dollars.
For the second question, let's use algebra to find the age of Larissa in terms of y.
Given that Brad is y years old, Tyler is 6 years younger than Brad, so Tyler's age would be (y - 6) years.
If Larissa is twice the age of Tyler, then Larissa's age would be (2*(y - 6)) years, which simplifies to (2y - 12).
Therefore, Larissa is (2y - 12) years old in terms of y.
For the third question, we need to find the total distance Nick traveled by combining the distances he traveled at different speeds.
He drove x miles per hour for 3 hours, so the distance he traveled in that time is 3 * x = 3x miles.
Then he drove (3x-50) miles per hour for the next 4.5 hours. Using the formula distance = speed * time, the distance he traveled at this speed is (3x-50) * 4.5 = 13.5x - 225 miles.
To find the total distance, we add the distances he traveled at each speed: 3x + (13.5x - 225) = 16.5x - 225 miles.
Therefore, the total distance Nick traveled in terms of x is (16.5x - 225) miles.
For the last question, we need to find the cost for a day of production at the production plant.
The cost of manufacturing a small bottle of shampoo is (h + 0.45) dollars.
The cost of manufacturing a large bottle of shampoo is (h + 0.35) dollars more than the cost of the small bottle, so the cost of a large bottle is (h + 0.45 + 0.35) = (h + 0.80) dollars.
If the plant makes 20,000 small bottles and 30,000 large bottles each day, the cost for a day of production is the sum of the cost for the small bottles and the cost for the large bottles.
The cost for the small bottles is 20,000 * (h + 0.45) = 20,000h + 9,000 dollars.
The cost for the large bottles is 30,000 * (h + 0.80) = 30,000h + 24,000 dollars.
Adding these two costs together, we get: 20,000h + 9,000 + 30,000h + 24,000 = 50,000h + 33,000 dollars.
Therefore, the cost for a day of production at the production plant is (50,000h + 33,000) dollars.
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