A wooden board 100 centimeters long is cut into two pieces.One piece is 16 centimeters longer than the other. What are the lengths of the two pieces?

Answers

Answer 1
Answer: legnth are x and y
x+y=100

one is 16 more than other
x is 16 more than y
x=16+y

x=16+y therefor we can put 16+y for x
(16+y)+y=100
16+y+y=100
16+2y=100
minus 16 both sides
2y=84
divide by 2
y=42

sub back
x=16+y
x=16+42
x=58


the legnsh are
42 cm and 58cm

Answer 2
Answer: One piece is 66 cm and the other piece is 34 cm

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What is the experimental probability a quarterback will complete his next pass if he has completed 30 of his last 40 passes?

Answers

Answer:

75%

Step-by-step explanation:

We know that the quarterback has completed 30 of 40 passes. This means that the ratio of completed passes to total passes is 30:40. Converting this to a fraction, we get 30/40, which can be simplified to 3/4. 3/4 as a percentage is 75%. Therefore, the final answer is 75%.

There are ten cards, each has a different number on it, from 1 to 10. Sam took one card, and it was 5 on it. If he takes one of the remaining cards without looking, what is the probability that the sum of the numbers on his two cards will be smaller than 8?

Answers

there are 9 cards left

1,2,3,4,6,7,8,9,10

the only cards that will make the sum less than 8 is 1 and 2

2/9

Answer: 2/9

Answer:

2/9

Step-by-step explanation:

The original group of cards consisted of: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

He took a 5.

The current group of cards consists of: 1, 2, 3, 4, 6, 7, 8, 9, 10

Which cards can he take and have a sum less than 8?

5 + 1 = 6   good

5 + 2 = 7    good

5 + 3 = 8    not good

Only the cards with 1 or 2 are good.

There are 9 cards remaining, and he gets the desired outcome from only 2 of those cards.

p(sum less than 8) = 2/9

I need this ASAP!!Which of the following best describes the first step in solving the system below using elimination?
2x - 4y = 9
x+3 = -4y
A. solve the second equation for X
B. rearrange the second equation to read x+4y = -3
C. rearrange the second equation to read x + 4y =
D. add the equations together

Answers

Answer:

The answer is: to rearrange the second equation by adding "4y" to both sides and subtract 3 from both sides so it reads: x + 4y = -3

Please notice that two options that you presented read kind of similar (so there may be a typo). Make sure that you select the options you were given that aligns to the answer shown above.

Step-by-step explanation:

In order to solve a system of equations via the elimination method, the first step is to write both equations in standard form. That is, with the terms containing variables on the left, (and alphabetically ordered by they variables), and the pure numerical term on the right hand side of the equal sign.

In our case, since the first equation is already written in standard form, to rearrange the second equation by adding "4y" to both sides and subtract 3 from both sides so it reads: x + 4y = -3

Answer:

B

Step-by-step explanation:

One ton equals to x pounds what does the x stand for

Answers

the # of pounds that are in a ton
- - If we need to find the "x" lets first find out what it means.

If its asking you for x pounds in a ton, then you have to find the number of any given pounds that can be found in a ton.

In this case one ton = 2,000 pounds.

Regular Price 75$ Discount 25%Sale Price?

Answers

$56.25 would be the sale price. 75 times .25 equals 18.75 then 75-18.75 is 56.25

Answer:

$18.75

Step-by-step explanation:

25/100 × 75

1875/100

18.75

I hope its helps

kaitlin is on a long car trip. every time she stops to buy gas, she loses 15 minutes of travel time. if she has to stop 5 times, how late will she be getting to her destination

Answers

5 times she stop and each time she stops she looses 15 min  so 15 * 5=75

so she will be 75 minutes late

Hope this helped ;)
She will loose 75 min. (1 hour and 15 minutes)