Answer:
$459.65
Step-by-step explanation:
The total number of cartons you filled was ...
210 +175 +224 +160 +216 +90 = 1075
so your pay for filling those is ...
$0.41 × 1075 = $440.75
You get an additional amount of pay for the cartons filled on Saturday:
$0.21 × 90 = $18.90
So your pay for the week is ...
$440.75 +18.90 = $459.65
Answer:
About 2.569 seconds
Step-by-step explanation:
To solve this problem, you can separate it into two half parabolas. The beginning part is initial upward rising. To calculate the amount of time that this part of the dive takes, you can use the formula , where is the final velocity, is the initial velocity, a is the acceleration due to gravity, and t is the amount of time it takes. You know that the final velocity is 0, since the diver is reaching the terminal of their dive. Therefore, you can set up the following equation (assuming that the acceleration due to gravity is 32ft/s^2):
seconds
To find the height that this indicates the diver has risen, you can plug this time into the following formula:
feet
For the second part, you can use the equation again. Since the initial velocity for this part is 0, you can set up the following equation:
Adding this to the time that the first part of the dive takes, you get a total of about 2.569 seconds. Hope this helps!
Answer:
25 cm.
Step-by-step explanation:
If the hypotenuse is x cm long the 2 legs are x-5 and x-10 cm long.
So by the Pythagoras theorem:
x^2 = (x - 5)^2 + (x - 10)^2
x^2 = x^2 - 10x + 25 + x^2 - 20x + 100
x^2 - 30x + 125 = 0
(x - 5)(x - 25) = 0
x = 5, 25
We can discard x = 5 because that would make the lengths of the legs negative so the hypotenuse = 25 cm long.
It is given that Total Calories in the meal = 333
Calories per Grilled Chicken Strip = 110
# of Grilled Chicken Strips = x
Calories per Carrot = 29
# of Carrots = y
So the above information can be represented as:
Total Calories = (Calories per Grilled Chicken Strip × Number of Chicken Strips) + (Calories per Carrot × Number of Carrots)
Substituting the values in the above equation.
⇒ 333 = 110 × x + 29 × y
⇒ 110 × x + 29 × y = 333. This equation is in standard form, as an equation in standard form has the format Ax + By = C.
Out of the below options
(A) 110y = –29x + 333
(B) 29x + 110y = 333
(C) 29y = –110x + 333
(D) 110x + 29y = 333
So the standard form of equation matches with option (D), and hence the correct answer is 110x + 29y = 333