What are the measures of angles 1 and 2?<br> m∠1 = °

A company dyes two sizes of rugs. A small rug requires 4 hours for dyeing, and a medium-size rug requires 6 hours for dyeing. Th

gladu [14]

Answer:

Answer:

Option (b) is correct.

4x + 6y < 120 inequalities that can be paired with x + y ≥ 20 to create a system that represents the given situation.

Step-by-step explanation:

Given: A small rug requires 4 hours for dyeing and a medium-size rug requires 6 hours for dyeing. The dyers have to make at least 20 rugs, and they must do it in less than 120 hours.

We have write an inequalities that can be paired with x + y ≥ 20 to create a system that represents the given situation and choose the correct option from given options.

Let x represents the small rugs and y represents the medium rugs.

Also, x + y ≥ 20 represents the dyers have to make at least 20 rugs.

And it is given that a small rug requires 4 hours for dyeing and a medium-size rug requires 6 hours for dyeing and that they must do it in less than 120 hours.

So, time taken to dye x small rugs = 4x

also, time taken to dye y medium rugs = 6y

And they have maximum of 120 hours.

So this inequality is represented by 4x + 6y < 120

The answer is: 4x + 6y < 120

8 0

3 years ago

determine if the sequence is geometric if it is find the common ratio the 8th term and the explicit formula can someone check my

mylen [45]

Answer:

You can check the answer by yourself after seeing the below answer.

Step-by-step explanation:

A sequence is geometric only if has common ratio i.e. $r=\frac{a2}{a1} =\frac{a3}{a2}$ whiere a1,a2 and a3 are first,second and third term of the sequence respectively.

1) Common ratio $r=\frac{-18}{-3}=\frac{-108}{-18}=6\\$

Explicit formula $a_{n} =a_{1} .r^{n-1}$

Now using the above formula, we can find $8^{th} term=-3*(6)^{8-1} =-3*6^{7}=-839808.$

2) Here

$\frac{a2}{a1}\neq \frac{a3}{a2}\\\frac{-2}{-4}\neq \frac{1}{-2}\\\frac{1}{2}\neq\frac{1}{-2}$ so this is not geometric sequence so no need to proceed further.