Answer:
The product of the Width and Length is x^2 + 4x + 3 cm^2.
Step-by-step explanation:
The volume of a box = 5x^3 + 20x^2 + 15x cm^3.
Volume of a Box = W*L*H [Width(W), Length(L), and Height(H)]
W*L*(5x) = 5x^3 + 20x^2 + 15x cm^3
W*L = (5x^3 + 20x^2 + 15x cm^3)/5x cm
W*L = x^2 + 4x + 3 cm^2
We know the area of the base of the box (W*L). It is x^2 + 4x + 3 cm^2.
To find the actual width and length, we need to know one of the variables, L or W. Without that, all we can say is that their product (W*L) is x^2 + 4x + 3 cm^2.
Answer:
The passenger train traveled at a speed of 25 miles/hour
Step-by-step explanation:
In this question, we are asked to calculate the rate at which a particular passenger train is traveling.
We use the information in the question to answer as follows;
Firstly, we identify that they traveled at the same time but their distances are different. This means that their speed must be different also.
Mathematically, we know that time can be calculated as distance/ time.
Let us say the speed at which the passenger train traveled is x miles per hour. This means that the speed of the freight train which was 5 miles per hour slower would be (x-5) miles per hour.
We know their times are equal;
Hence;
100/x = 80/(x-5)
We cross multiply
100(x-5) = 80x
100x -500 = 80x
100x-80x = 500
20x = 500
x = 500/20
x = 25 miles per hour
1. <span>Suppose that a single card is selected from a standard 52-card deck. what is the probability that the card drawn is a club ?
From the total 52 card, there is 13 club card. There is no scenario that need to be considered in this problem. The probability to draw club would be:
the number of club cards/</span>total number of cards <span>= 13/52= 1/4= 25%
2. </span><span>suppose that a single card is drawn from a standard 52-card deck, but it is told that the card is black. what is the probability that the card drawn is a <span>club ?
</span></span>
In this scenario, the card is already known as black. Out of 52 cards, there is 26 black card. Out of 26 black cards, there are 13 clubs cards. The probability to draw club would be:
the number of club cards/total number of black cards= 13/26= 1/2= 50%
Answer:
You probably don't need the answer still but here's it anyways- $1.50
Step-by-step explanation:
12 - 9 = 3
3 divided by 2 = 1.5
$1.50
Time it takes you to complete the walk
