the length of the fish tank is 
. Correct option is A)
<u>Step-by-step explanation:</u>
Here we have , Peter has just purchased a small rectangular fish tank that holds 910 milliliters of water. The tank has a width of 7 cm and a height of 10 cm. We need to find What is the length of the fish tank . Let's find out:
The fish tank is in the shape of cuboid , and we know that volume of cuboid :
⇒ 
Now , according to question we have following parameters :
Therefore , Putting theses values in above equation we get :
⇒
⇒ 
⇒ 
⇒
Therefore , the length of the fish tank is . Correct option is A)
Answer:
i. Length : breadth = 3 : 200
ii. Breadth : length = 200 : 3
Step-by-step explanation:
Given the following data;
Length = 12cm
Breadth = 8m to centimeters = 8 * 100 = 800 centimeters.
To find the following;
a. Length to breadth ratio.
Length : breadth = 12 : 800
We would divide both sides by 4
Length : breadth = 3 : 200
b. Breadth to length.
Breadth : length = 800 : 12
We would divide both sides by 4
Breadth : length = 200 : 3
Note: In order to find a ratio, we must ensure that the units of the given parameters (quantities) are the same.
Answer: 60mph
Step-by-step explanation:
500-300 = 200
200 = distance traveled in 2 hrs
100 = distance traveled every hour
100=2x+20, x being the slower train
80=2x
x=40
40+20 = 60, the speed of the faster train
Make the equation the same or a multiple of the other to have an infinite number of solutions. See how the -8/2= -4 and 6/2=3 ? then -2/2 = c
Make c = -1 and they are the same linear equation. (same slope, same intercepts, same line) and therefore have infinite solutions.
In order to have no solutions, the lines cannot cross at all and so they must be parallel but not the same line. Parallel lines have the same slope with different intercepts. if you rearrange both equations in slope intercept form:
y = x/3 - 4/3
y = - cx/3 - 4/3
no matter what you make c the lines will always cross at the y-intercept (0, -4/3). this is a solution and therefore there's no value of c that would produce a system with no solution.
This is the concept of algebra, we are required to find a number,x, such that 87 decreased by three times a number is great than one hundred and sixty-five.
Supposed the number is x, three times the number will be:
3*x=3x
thus;
87-3x≥165
-3x≥165-87
-3x≥78
dividing both sides by -3 we get:
(-3x)/(-3x)≥78/(-3)
x≤-26
This implies that the number is less than or equal to 26
