A carpenter has several boards of equal length. He cuts 3/5 of each board. After cutting the boards, the carpenter notices that he has enough pieces left over to make up the same length as 4 of the original boards. How many boards did the carpenter start with?

Answers

Answer 1
Answer: 4 of the original boards have a summed length of 20 units. 5 x 4 = 20.
Since 2/5 is left from each board, you simply add them until the 2's add to 20.

So, 2 x 10 = 20. Hence, there are 10 2/5 boards.

That's just 4 of the boards that the 2/5 make up, but that should also mean that there are 10 3/5 boards as well.

30/5 + 20/5 = 50/5
Reduction = 10

The carpenter started with 10 5/5 boards.
:D

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Train A arrives at central station on the hour and every 12 minutes. Train B arrives on the hour and every 15 minutes. When do both trains arrive at the same time? A) On the hour and 30 minutes past the hour
B) On the hour and 15 minutes to the hour
C) On the hour and 27 minutes past the hour
D) On the hour

Please explain why you chose the answer and how you achieved it.

Answers

Train A arrives at central station on the hour and every 12 minutes. Train B arrives on the hour and every 15 minutes. When do both trains arrive at thesame time? 

I believe that both trains would arrive at the same time on the hour (D).

Hope this helped :)
The answer is D!!!!!

DIRECTIONS: Draw a picture to represent each problem. Then, usethe Pythagorean Theorem to answer the question. Answer each
question in a complete sentence.

1. Your family wants to purchase a new laptop with a 17” widescreen. Since the 17
inches represents the diagonal measurement of the screen (upper corner to lower
corner), you want to find out the actual dimensions of the laptop. When you
measured the laptop at the store, the height was 10 inches, but you don’t
remember the width. Calculate and describe how you could figure out the width of
the laptop to the nearest tenth inch.

2. The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a
wall. When the top of the ladder is leaned against the wall, what is the distance
above the ground it will reach?

Answers

Pythagorean theorem is: a^2+b^2=c^2

1.  10^2+b^2=17^2
     So 100+b^2=289
     b^2=189
     b=√(189)
     b=13 3/4
     The dimensions are 10 by 13 3/4
 
2.  5^2+b^2=13^2
     So 25+b^2=169
     b^2=144
     b=12
     The ladder reaches 12 feet off the ground

Since there are 12 tenths you need to regroup. you can regroup 12 tenths as 1 whole and 2 tenths

Answers

1 whole, 1 tenth, 10 ones = 12 tenths

Answer:

To regroup the tenths, we move the 10 in the 12 up a place value to the ones place. Then we keep the 2 in the tens place.

Hope it helped!

The equation y = 18x shows that Roz earns $18 for each hour she works. Which table represents the equation y = 18x?

Answers


The link leads to a single table, and that table doesn't show [ y = 18x ].

You're looking for a table in which each 'y'-value is
18 times the 'x'-value that's right next to it.

Good luck in your quest.


Answer:i thinks its a or b

Step-by-step explanation:

What is the whole number to make statement true ? ÷7 >800

Answers

any whole number above 5600, not counting 5600.

the number 5600 would make them equal, but it needs to be greater than. so any whole number above 5600 would make the statement true:

800(7)= 5600
5600 / 7 = 800
so,
5601 / 7 > 800 is a true statement

again, any whole number above 5600 is a correct answer, there are an infinite amount of solutions
Any whole number or 5600 would work

What value of r makes the equation true? r 0.12 = 0.20 A. r = 0.32 B. r = 0.08 C. r = –0.08 D. r = –0.32

Answers

Depends on your question...

If your question is r + 0.12 = 0.20 then do this:

Subtract 0.12 from both sides

r = 0.08

The answer is B.


If your question is r - 0.12 = 0.20 then do this:

Add 0.12 on both sides

r = 0.32

The answer is A

So it depends on your question :P
Subtract 0.12 from both sides.
Then you get 0.20 - 0.12 on the right side of your equation, which equals 0.08.


C. r = -0.08

Hope I Helped!!!