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stepan [7]
3 years ago
5

1/2x + 7 = x + 13 solution

Mathematics
1 answer:
vaieri [72.5K]3 years ago
4 0

Answer:

-3

Step-by-step explanation:

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A pair of pant and a t-shirt cost $25. If the pant cost $7.28 more than the shirt, how much did the pant cost?
Lena [83]
$16.14 =pants

Explanation:

$25-$7.28=17.72

17.72/2 =8.86

8.86+7.28=16.14

25-16.14=8.86 shirt

I hope that helped ..
4 0
3 years ago
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A ship sails north for 2 hours, traveling a total of 15 miles. Then the ship turns south and travels 6 miles in an hour.
ch4aika [34]

Answer:

3 miles per hour

Step-by-step explanation:

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3 years ago
What is the mean of your data 341, 237, 143,185,248,403,374,451,84,267,178,258,284,465,224
weqwewe [10]

Answer:

The mean for the given set of numbers is 276.133..... repeated

Step-by-step explanation:

To find this you must add the numbers up together and divide them by the amount of numbers there is.

6 0
3 years ago
Identify the coordinates of the vertices of each figure after the similarity transformation.
bija089 [108]

Answer:

After translation:

Translation: (x, y)  →  (x-6, y-8)

W'X'Y'Z' = W'(-10, 0), X'(-10, -8), Y'(-18, -4), Z'(-14, 8)

After dilation:

Dilation: (x, y)  →  (2x, 2y), centered at (0, 0)

W''X''Y''Z'' = W'' (-20, 0), X'' (-8, 0) , Y'' (-24, 8), Z'' (-16, 32)

Step-by-step explanation:

Given the vertices of the Quadrilateral WXYZ

  • W(-4, 8)
  • X(-4, 0)
  • Y(-12, 4)
  • Z(-8, 16)

As the rule of translation is given by

Translation: (x, y)  →  (x-6, y-8)

So, after the translation the vertices of Quadrilateral WXYZ will be translated as:

W(-4, 8)  →  (x-6, y-8) ⇒ (-4-6, 8-8) = W'(-10, 0)

X(-4, 0)  →  (x-6, y-8) ⇒ (-4-6, 0-8) = X'(-10, -8)

Y(-12, 4)  →  (x-6, y-8) ⇒ (-12-6, 4-8) = Y'(-18, -4)

Z(-8, 16)  →  (x-6, y-8) ⇒ (-8-6, 16-8) = Z'(-14, 8)

Therefore,

W'X'Y'Z' = W'(-10, 0), X'(-10, -8), Y'(-18, -4), Z'(-14, 8)

Next, the rule of dilation is given by

Dilation: (x, y)  →  (2x, 2y), centered at (0, 0)

W'(-10, 0)  →  (2x, 2y) ⇒ (2(-10), 2(0)) = W'' (-20, 0)  

X'(-4, 0)  →  (2x, 2y) ⇒ (2(-4), 2(0)) = X'' (-8, 0)

Y'(-12, 4)  →  (2x, 2y) ⇒ (2(-12), 2(4)) = Y'' (-24, 8)

Z'(-8, 16)  →  (2x, 2y) ⇒ (2(-8), 2(16)) = Z'' (-16, 32)

Therefore,

W''X''Y''Z'' = W'' (-20, 0), X'' (-8, 0) , Y'' (-24, 8), Z'' (-16, 32)

8 0
2 years ago
NO LINKS! Help me with this problem​
Basile [38]

{\qquad\qquad\huge\underline{{\sf Answer}}}

Let's solve ~

Equation of directrix is : y = 1, so we can say that it's a parabola of form : -

\qquad \sf  \dashrightarrow \: (x - h) {}^{2}  = 4a(y - k)

  • h = x - coordinate of focus = -4

  • k = y - coordinate of focus = 5

  • a = half the perpendicular distance between directrix and focus = 1/2(5 - 1) = 1/2(4) = 2

and since the focus is above the directrix, it's a parabola with upward opening.

\qquad \sf  \dashrightarrow \: (x - ( - 4)) {}^{2}  = 4(2)(y - 5)

\qquad \sf  \dashrightarrow \: (x  + 4) {}^{2}  = 8(y - 5)

\qquad \sf  \dashrightarrow \:  {x}^{2}  + 8x + 16 = 8y - 40

\qquad \sf  \dashrightarrow \: 8y =  {x}^{2}  + 8x + 56

\qquad \sf  \dashrightarrow \: y =  \cfrac{1}{8} {x}^{2}   + x + 7

6 0
1 year ago
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