Ask question

Ask question

All categories

3 years ago

5

owen has two pieces of yarn, one 15 ft long and the other 10 ft long. For a craft project, he wants to cut them up to produce ma

ny pieces of yarn that are all the same length, with no yarn left over. What is the greatest length, in feet, that he can make them? Would I use LCM?

1 answer:

ahrayia [7]3 years ago

7 0

What number is divisible by both 15 and 10? 5 he would have five pieces of yarn all being 5in long

You might be interested in

If (2i/2+i)-(3i/3+i)=a+bi, then a=<br>A. 1/10<br>B. -10<br>C. 1/50<br>D. -1/10

Verizon [17]

Answer:

Option A is correct.

Step-by-step explanation:

We are given:

$\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi$

We need to find the value of a.

The LCM of (2+i) and (3+i) is (2+i)(3+i)

$=\frac{2i(3+i)}{(2+i)(3+i)}-\frac{3i(2+i)}{(2+i)(3+i)}\\=\frac{6i+2i^2}{(2+i)(3+i)}-\frac{6i+3i^2}{(2+i)(3+i)}\\=\frac{6i+2i^2-(6i+3i^2)}{(2+i)(3+i)}\\=\frac{6i+2i^2-6i-3i^2)}{5+5i}\\=\frac{-i^2}{5+5i}\\i^2=-1\\=\frac{-(-1)}{5+5i}\\=\frac{1}{5+5i}$

Now rationalize the denominator by multiplying by 5-5i/5-5i

$=\frac{1}{5+5i}*\frac{5-5i}{5-5i} \\=\frac{5-5i}{(5+5i)(5-5i)}\\=\frac{5-5i}{(5+5i)(5-5i)}\\(a+b)(a-b)= a^2-b^2\\=\frac{5(1-i)}{(5)^2-(5i)^2}\\=\frac{5(1-i)}{25+25}\\=\frac{5(1-i)}{50}\\=\frac{1-i}{10}\\=\frac{1}{10}-\frac{i}{10}$

We are given

$\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi$

Now after solving we have:

$\frac{1}{10}-\frac{i}{10}=a+bi$

So value of a = 1/10 and value of b = -1/10

So, Option A is correct.

8 0

3 years ago

The L- shaped A,B,C,D,F is the image of the L shape ABCDEF after reflection which of the following lines? ABCD

mrs_skeptik [129]

Answer:

X

Step-by-step explanation:

4 0

2 years ago

There are five sales agents in a certain real estate office. One month Andy sold twice as many properties as Ellen, Bob sold 3 m

Novosadov [1.4K]

Answer:

Carry

Step-by-step explanation:

Here let’s take any arbitrary value for the number of properties sold by Ellen.

Let the number of properties sold by Ellen he 10. We were told Andy sold twice of this, this means he sold 20 properties

Bob sold 3 more than Ellen, meaning he sold 13.

Carry sold twice of Bob meaning he sold 26

Dora sold the addition of Bob and Ellen = 13 + 10 = 23

Carry sold 26 and this makes him the highest seller.

7 0

3 years ago

6 + (9 − 1) 2 ÷ 4 ⋅ 1 over 2 whole to the power of 4

Bas_tet [7]

Answer:

625

Step-by-step explanation:

1. parenthesis first, so it simplifies to ((6+(8)2÷4*1)/2)^4

2. pemdas says that multiplication and division go before addition and subtraction, so ((6+(8)2÷4*1)/2)^4 becomes ((6+16÷4*1)/2)^4 ---> ((6+4)/2)^4

3. then simplify inside of the parenthesis, so it becomes 5^4, which is 625

6 0

2 years ago

Compare and contrast the rate 4/5 mile in 8 minutes and 4 minutes to travel 2/5 mile

Gwar [14]

The values of the rates 4/5 mile in 8 minutes and 4 minutes to travel 2/5 mile are equal

<h3>How to compare and contrast the rates?</h3>

The rates are given as:

Rate 1 = 4/5 mile in 8 minutes

Rate 2 = 2/5 mile in 4 minutes

Calculate the above rates

This is done as follows:

Rate 1 = 1/10 mile per minute

Rate 2 =1/10 mile per minute

When the rates are calculated, the values are 1/10 mile per minute

Hence, the values of the rates 4/5 mile in 8 minutes and 4 minutes to travel 2/5 mile are equal

Read more about rate at:

brainly.com/question/2021001

#SPJ1

5 0

2 years ago