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zhannawk [14.2K]
3 years ago
15

Fred has 5 3/4 feet of yarn he will use 1/8 foot of yarn for each decoration he makes what's the greatest number of decorations

can Fred make
Mathematics
1 answer:
Jet001 [13]3 years ago
6 0

Answer: Tthe greatest number of decorations can Fred make = 46

Step-by-step explanation:

Total yarn = 5\dfrac34 feet =\dfrac{23}{4} feet

Yarn required for each decorartion = \dfrac18 foot

The greatest number of decorations can Fred make = (Total yarn) ÷ (Yarn required for each decorartion)

=\dfrac{\dfrac{23}{4}}{\dfrac{1}{8}}\\\\\\=\dfrac{23}{4}\times8\\\\=23\times2\\\\=46

Hence, the greatest number of decorations can Fred make = 46

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Triangle ABC is similar to triangle DEF. how long is EF?<br> A) 4<br> B) 10<br> C) 14<br> D) 12
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The sum of 2 of the exterior angles of a triangle is 222 degrees. What is the measure of the third exterior angle?
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Answer:

Exterior angles always add up to 360 degrees, therfore 360 - 222 = 138

Step-by-step explanation:

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3 years ago
Write the equation of each line using the given information.
Marat540 [252]

A. The equation of the line is y = -0.2 x + 1.9

B. The equation of the line is y = 4 x + 3

C. The equation of the line is y = -8

D. The equation of the line is y = 2 x + 4

Step-by-step explanation:

The slope-intercept form of the equation of a line is y = m x + b, where

m is the slope of the line and b is the y-intercept

  • The formula of the slope of a line which passes through points (x_{1},y_{1}) and (x_{2},y_{2}) is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}
  • The slope of a horizontal line whose equation y = b is zero
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A.

∵ The line passes through points (2 , 1.5) and (-5 , 36.5)

∴ x_{1} = 2 and x_{2} = -5

∴ y_{1} = 1.5 and y_{2} = 36.5

∵ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∴ m=\frac{-5-2}{36.5-1.5}=\frac{-7}{35}=\frac{-1}{5}

∴ m = -0.2

∵ y = m x + b

∵ m = -0.2

∴ y = -0.2 x + b

- To find b substitute x and y in the equation by the coordinates of

  one of the two given points

∵ x = 2 and y = 1.5

∴ 1.5 = -0.2(2) + b

∴ 1.5 = - 0.4 + b

- Add 0.4 to both sides

∴ 1.9 = b

∴ y = -0.2 x + 1.9

The equation of the line is  y = -0.2 x + 1.9

B.

∵ m = 4

∵ y = m x + b

∴ y = 4 x + b

∵ Point (3 , 15) lies on the line

- To find b substitute x and y in the equation by the coordinates

  of the given point

∵ x = 3 and y = 15

∴ 15 = 4(3) + b

∴ 15 = 12 + b

- Subtract 12 from both sides

∴ 3 = b

∴ y = 4 x + 3

The equation of the line is y = 4 x + 3

C.

∵ The line has the same slope of line y = 1

- The line whose equation y = 1 is a horizontal line

∵ The slope of the line y = 1 is zero because it is a horizontal line

∴ m = zero

∵ y = m x + b

∴ The equation of the line is y = (0)x + b

∴ y = b

∵ The line passes through point (3 , -8)

- In the horizontal line the y-coordinates of all point lie on the line

  are equal

∴ The line intersect the y-axis at point (0 , -8)

∴ b = -8

∴ y = -8

The equation of the line is y = -8

D.

∵ m = 2

∵ y-intercept is at point (0 , 4)

∴ b = 4

∵ y = m x + b

∴ y = 2 x + 4

The equation of the line is y = 2 x + 4

Learn more:

You can learn more about the linear equations in brainly.com/question/4326955

#LearnwithBrainly

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3 years ago
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