Answer:
f(x) = 2.25x + 5
Step-by-step explanation:
As given, the cost of shipping a box is based on its weight in pounds, and a flat rate of $5 for packing. This means $5 is common for each parcel that will be sent. Only the weight will vary.
So, option first f(x)=2.25x+5 is the correct answer. Here 2.25 is the per pound rate. Like if someone wants to send a parcel weighing 3 pounds, the price will be :
f(x)=2.25*3 +5
= $11.75
The function that shows the shi[ping cost as a function of x is f(x) = 2.25x + 5.
The function tells us that there is a constant 5. This constant is the flat rate of 5 dollars which is the rate for packing.
X is a variable whose values can change based on the weight of the package that is to be sent.
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He made 4 round trips to visit his grandmother.
Amount of time he spent to get to his grandmother’s = 35 minutes and extra 4-minute walk (and can be expressed as 35 + 4)
= 35 + 4
= 39
To complete a round trip, the amount of time he spent to his grandmother’s will be multiply by 2
Therefore,
= 39 x 2
= 78
Total amount of time of a round trip = 78
Amount of time he spent on a trip to her apartment and back home = 5 hours and 12 minutes
To determine that, 5 hours will be added to 12 minutes
Therefore,
Since 1 hour = 60,
Then, (5 x 60) +12
= (5 x 60) + 12
= 300 + 12
= 312
Amount of time he spent on a trip to her apartment and back home = 312
To determine how many round trip he made, the amount of time he spent on a trip to her apartment and back home (312) will be divided by the total amount of time of a round trip (78) i.e. 312 ÷ 78
= 312 ÷ 78
=
= 4
Therefore Juwan made a total of 4 round trips to his grandmother’s place.
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at 30 mph and Andrew travels due south at
40 mph. If nothing causes either to stop for
any reason how far apart are they after
1 hour?
The measure of each angle is 117°
Explanation:
Given that the two angles are (11x-26)° and (7x+26)°
We need to determine the measure of each angle.
Measure of angles:
From the figure, it is obvious that the two angles are vertically opposite angles.
By definition, we know that, the vertically opposite angles are always equal.
To determine the measure of each angle, we shall first find the value of x.
Thus, we have,
Thus, the value of x is 13
Now, substituting in the angle (11x-26)°, we get,
The measure of the angle is 117°
Similarly, substituting in the angle (7x+26)°, we get,
The measure of the angle is 117°
Hence, the measure of each angle is 117°
diameter of 12 centimeters?
Answer:
113
Step-by-step explanation:
area of a circle is 3.14*r^2
r=d/2 r=6
3.14*36=113