Imagine what x is quantity of stools. So
3x+120=4x
x=120
120 stools in cafeteria
120 chairs in cafeteria
120+120=240
There 240 people can sit in this cafeteria

6 0

3 years ago

Factor completely 36x^2 − 25.

sveticcg [70]

Hello there!

$( (2^2*3^2x^2) - 25) \\ \\ Factoring: \boxed{36x2-25} \\ \\ (PROOF): \\ \\ (A+B) * (A-B) = \\
 A2 - AB + BA - B2 = \\
 A2 - AB + AB - B2 = \\
 A2 - B2 \\ \\$

Your final answer would be (<span> (6x + 5) • (6x - 5)).

Your correct answer would be (option d).

I hope this helps you!</span>

4 0

2 years ago

Read 2 more answers

(b) The arithmetic meană,

Aloiza [94]

Step-by-step explanation:

that it's bad for u if u have it

5 0

2 years ago

The minute hand of a clock is 8 inches long. To the nearest tenth of an inch, how far does the tip of the minute hand travel as

lesya692 [45]

Answer:

The tip of the minute hand travels 20.9 inches.

Step-by-step explanation:

We are given that the minute hand of a clock is 8 inches long. And we have to find that how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.

<u>So, firstly we will find the circumference of circle;</u>

Circumference of circle (C) = $2\pi r$ {where r is radius of circle}

= $2 \times \pi \times 8$ {given r = 8 inches long}

= $16 \pi$

Now, as we know that the minute hands completes the full circle in 60 minutes, therefore, the length of the arc between time 12:00 to 12:25 represents $\frac{25}{60}$ which is $\frac{5 }{12}$ of the circumference, that means;

The length of arc from time 12:00 to 12:25 = $\frac{5}{12}\times \text {Circumference of circle}$

= $\frac{5}{12} \times 16 \pi$

= $\frac{20}{3} \pi$ = 6.67 $\pi$

Now, assuming value of $\pi$ = 3.14; so 6.67 $\pi$ = $6.67 \times 3.14$ = 20.9 inches (in nearest tenth)

Hence, the tip of the minute hand travels 20.9 inches.

5 0

2 years ago