We know that the perimeter of a rectangle is twice the length, plus twice the width.
P = 2L + 2W
We also know that the perimeter is 156.
P = 156
Finally, we know that the width is 12 less than the length.
W = L - 12.
The next thing that we do is substitute the information that we have into the original equation:
P = 2L + 2W
156 = 2L + 2(L - 12)
From this point we start to solve
156 = 2L + 2L - 24 <---we multiplied the '2' through the parenthesis
156 + 24 = 2L + 2L - 24 + 24
180 = 2L + 2L <--- getting like terms on same sides
180 = 4L <---combining like terms
180/4 = 4L/4 <--- getting like terms on same sides
45 = L <---now we have a value for L
Now we take the known value for L and substitute it in to our equation for W
W = L - 12
W = 45 - 12
W = 33
So now we have Length = 45 and Width = 33.
w = l - 12
156 = 2l + 2w
Since we have a value of w, we can plug that into the variable w to find the exact value of l.
156 = 2l + 2(l - 12)
Distributive property.
156 = 2l + 2l - 24
Combine like terms.
156 = 4l - 24
Add 24 to both sides.
180 = 4l
Divide both sides by 4.
l = 45
Now that we have the exact value of l, we can find the exact value of w.
w = l - 12
w = 45 - 12
w = 33
We now know the width is equal to 33 cm, and the length is equal to 45 cm. (This is your answer.)
We can verify by plugging these values into the second equation.
156 = 2l + 2w
156 = 2(45) + 2(33)
156 = 90 + 66
156 = 156 √ this is correct.
Answer:
Step-by-step explanation:
On day one = few pages (x)
On day two = twice of pages read on day one (2x)
On day three= 6 less than the page read the first day (x-6)
Total pages read = x+2x+(x-6)=458
4x-6=458
4x=458+6=464
x= 464÷4
x=116
Pages read on day three was 110
-45.3 feet depth.
She descends at a steady rate of 7 feet per minute for 4.5 minutes. Then, she ascends 112.2 feet.
While minus sign shows the descent under the water with the water surface as a starting point. Initial depth of diver under the water
The diver descends 5 feet per minute for 3.5 minutes. Now add all the terms below as a numerical expression.
Current Depth of Diver after he descends 5 feet for 3.5 minutes and ascends 122.2 feet after. By taking the initial depth of the diver from which we add or subtract the changes made when he ascends or descends into the water to get the current depth.
Thus, deep currents generally occur in the higher latitude regions of the Earth, such as North Atlantic Deep Water and Antarctic Bottom Water, and from these frigid poleward regions, the deep currents flow at a relatively slow pace towards the equator.
Learn more about the current depth at
#SPJ2
Answer: The answer is -45.3 feet depth.
Step-by-step explanation: While minus sign shows the descend under the water with water surface as starting point. Initial depth of diver under the water
Diver descends 5 feet per minute for 3.5 minutes. Now adding all the terms a below as a numerical expression.
Current Depth of Diver after he descends 5 feet for 3.5 minutes and ascend 122.2 feet after. By taking the initial depth of diver from which we add or subtract the changes made when he ascends or descends in the water to get the current depth.