Perimeter of any figure is all its sides summed up
for a rectangle, with two equal pairs, that means, length + length + width + width or 2length + 2width, or 2(length + width)
but we know the length is 7/5 the width
width = w
perimeter = P
![\bf P=2\left(\frac{7}{5}w +w \right)\qquad P=240\implies 240=2\left(\frac{7}{5}w +w \right) \\\\\\ 120=\frac{7}{5}w +w\impliedby \textit{let's multiply both sides by 5} \\\\\\ 600=7w+5w\implies 600=12w\implies \cfrac{600}{12}=w](https://tex.z-dn.net/?f=%5Cbf%20P%3D2%5Cleft%28%5Cfrac%7B7%7D%7B5%7Dw%20%2Bw%20%5Cright%29%5Cqquad%20P%3D240%5Cimplies%20240%3D2%5Cleft%28%5Cfrac%7B7%7D%7B5%7Dw%20%2Bw%20%5Cright%29%0A%5C%5C%5C%5C%5C%5C%0A120%3D%5Cfrac%7B7%7D%7B5%7Dw%20%2Bw%5Cimpliedby%20%5Ctextit%7Blet%27s%20multiply%20both%20sides%20by%205%7D%0A%5C%5C%5C%5C%5C%5C%0A600%3D7w%2B5w%5Cimplies%20600%3D12w%5Cimplies%20%5Ccfrac%7B600%7D%7B12%7D%3Dw)
and the length is 7/5 of that
It's less confusing if you only think about one of them at a time.
A).
Change the whole thing to all inches.
(Multiply the 8-ft by 12inches/foot.)
Then, when you have it all in one number of inches,
multiply that number of inches by (2.54 centimeters/inch).
B).
1 ounce is the weight of 28.35 grams (on Earth).
Multiply the 300g by (1 ounce / 28.35 g).
C).
Multiply the liters by (0.264 gallon/liter)
Multiply the km by (1 mile / 1.609 km).
Then you'll have a fraction that actually means
(a number of gallons) divided by (a number of miles).
Do the division, and you'll have the gallons per mile.
D).
The area of any rectangle is (length) times (width).
The area of this living room is (13-ft times 14-ft), and that's in square feet.
You know how much 1 square foot of carpet costs.
Just multiply that price by the number of square feet that you need.
The <span>Pythagorean Theorem tells us that
![a^{2}+b^{2}=c^{2}](https://tex.z-dn.net/?f=%20a%5E%7B2%7D%2Bb%5E%7B2%7D%3Dc%5E%7B2%7D)
where c is the </span><span>hypotenuse and a and b are the other two sides. To solve for one of the shorter sides we need to rearrange:
![b=\sqrt{c^{2}-a^{2}}](https://tex.z-dn.net/?f=b%3D%5Csqrt%7Bc%5E%7B2%7D-a%5E%7B2%7D%7D)
We can then substitute known values, and solve:
</span>
![b=\sqrt{10^{2}-8^{2}}](https://tex.z-dn.net/?f=b%3D%5Csqrt%7B10%5E%7B2%7D-8%5E%7B2%7D%7D)
![b=\sqrt{100-64}](https://tex.z-dn.net/?f=b%3D%5Csqrt%7B100-64%7D)
![b=\sqrt{36}](https://tex.z-dn.net/?f=b%3D%5Csqrt%7B36%7D)
Answer:
$10
Step-by-step explanation:
The hardcover books are $12 each which would be $60 out of the $100. There are four more paperbacks meaning they would be $10 each and cost $40 total.
I hope this helped!!! :)
73 minus 24 plus 19 gives you 68 people left on the train.