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Morgarella [4.7K]
3 years ago
15

a board 35 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Fi

nd the length of the shorter piece of board.
Mathematics
1 answer:
Ghella [55]3 years ago
5 0

9514 1404 393

Answer:

  14 ft

Step-by-step explanation:

The ratio of lengths is ...

  shortest : longest = (2/3) : 1 = 2 : 3

Then the ratio of the shortest to the total is ...

  shortest : (shortest +longest) = 2 : (2 +3) = 2/5

The shortest piece length is ...

  (2/5)×(35 ft) = 14 ft

The shorter piece of the board is 14 ft long.

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Anna71 [15]
To get slope use

y2 - y1 / x2 - x1

10 - 8 / 1 - 0 = 2/1 = 2

Slope = 2

The y-intercept is the coordinate point that has 0 as the x value.

(0, 8) is the y-intercept.
4 0
3 years ago
I need help with this question asap!
Tpy6a [65]

Answer:

x=15

Step-by-step explanation:

This is an equilateral triangle.  That means all sides are equal and all angles are equal

An equilateral triangle has angle measurements of 60 degrees

60 =4x

Divide each side by 4

60/4 = 4x/4

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7 0
3 years ago
Hey, how do I apply the digital root method to division? Thanks.
REY [17]

Step-by-step explanation:

The digital root of a number is the single digit that you get by adding all of the digits of the original number together. If the result of that is multiple digits, you add those digits together, repeating the process until you get a single digit. That digit is the digital root of the original number.

example given

257520643

2+5+7+5+2+0+6+4+3

7+12+2+10+3

7+1+2+2+13

8+4+1+3

8+4+4

12+4

16

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5 0
3 years ago
A teacher randomly chooses a two-person leadership team from a group of four qualified students. Three of the students, Sandra,
nata0808 [166]

Answer:

What is P(A), the probability that the first student is a girl? (3/4)

What is P(A), the probability that the first student is a girl? (3/4)What is P(B), the probability that the second student is a girl? (3/4)

What is P(A), the probability that the first student is a girl? (3/4)What is P(B), the probability that the second student is a girl? (3/4)What is P(A and B), the probability that the first student is a girl and the second student is a girl? (1/2)

The probability that the first student is a girl is (3/4), likewise for the 2nd 3rd and 4th it's still (3/4). The order you pick them doesn't matter.

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3 0
3 years ago
Find the percent of increase to the nearest whole from 12 to 20
ankoles [38]

Answer:

The answer is

<h2>67\%</h2>

Step-by-step explanation:

To find the percentage increase we use the formula

<h3>Percentage \:   change =  \frac{change}{original \:  \: quantity}  \times 100\%</h3>

From the question

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To find the change we subtract the smaller value from the larger one

That's

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We have the final answer as

67\% to the nearest whole number

Hope this helps you

3 0
3 years ago
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