the area of a rectangular living room is 300 square feet. the length of the room is 10 feet less than twice the width

Mathematics

1 answer:

JulsSmile [24]3 years ago

6 0

Answer:

The length is 20, and the width is 15.

Step-by-step explanation:

You have to write an expression to represent this situation. w can be the width, and the length can be 2w-10. To fnd the area, you multiply these together. w(2w-10) is 2w^2 -10w. From there, 15 is the only value of w that satisfies the equation, so w=15. Substitute 15 into your expression for lngth, and 2(15)-10 is 30-10 is 20, so the length is 20.

You might be interested in

PLS HELP ME AS SOON AS POSSIBLE

Veseljchak [2.6K]

Answer:

7a. D)

7b. $78

Step-by-step explanation:

7a: We're given the information that there's a daily fee of $50 and $0.35 per mile driven, which is m. We can write "$0.35 per mile driven" as 0.35m. Then, the total amount of money it costs represented as an expression is 50 + 0.35m, thus, making it answer D).

7b: In this problem, we have to take our previous expression 50 + 0.35m, plug in the value of m, and simplify.

$50 + 0.35(80)$
$50 + 28$
$78$

Thus, the answer is $78.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

8 0

2 years ago

The area of a circular sun spot is growing at a rate of 1,200 km2/s.

Tpy6a [65]

A)

$\bf \textit{area of a circle}\\\\
A=\pi r^2
\\\\\\
\cfrac{dA}{dt}=\pi \cdot 2r\cfrac{dr}{dt}\implies \cfrac{dA}{dt}=2\pi r\cfrac{dr}{dt}\implies \cfrac{\frac{dA}{dt}}{2\pi r}=\cfrac{dr}{dt}\\\\
-----------------------------\\\\
\left. \cfrac{dr}{dt} \right|_{r=3000}\implies \cfrac{1200}{2\pi \cdot 3000}=\cfrac{dr}{dt}\\\\$

B)

$\bf A=\pi r^2\qquad A=490000\implies 490000=\pi r^2\implies \sqrt{\cfrac{490000}{\pi }}=r
\\\\\\
\left. \cfrac{dr}{dt} \right|_{r=\sqrt{\frac{490000}{\pi }}}\implies \cfrac{1200}{2\pi \cdot \sqrt{\frac{490000}{\pi }}}=\cfrac{dr}{dt}
$

8 0

2 years ago

Evaluate ƒ(x) when x = 10

AlladinOne [14]

Answer:

10f ?

Step-by-step explanation:

fx10

8 0

2 years ago

Read 2 more answers

What are the coordinates of the terminal point determined by t= 11 pi / 3