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vodka [1.7K]
3 years ago
14

Sharon's house, the library, and Lisa's house are all on the same straight road. Sharon has to ride her bike 1 3/5 miles to get

from her house to the library and another 2 3/4 miles to get from the library to Lisa's house. How much closer to the library does Sharon live than Lisa?
Mathematics
1 answer:
Zigmanuir [339]3 years ago
5 0

Answer:

1.15 miles closer

Step-by-step explanation:

you just subtract 1 3/5 from 2 3/4

1 3/5 = 1 12/20

2 3/4 = 2 15/20

2 15/20- 1 12/20 = 1 3/20 = 1.15

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Write the three forms of the line parallel to the line represented by the equation, 8x+3y=11 such that it passes through the poi
Misha Larkins [42]

Answer:

  • 8x + 3y = 57
  • y = -8/3x + 19
  • y + 5 = -8/3(x - 9)

Step-by-step explanation:

<u>Given function</u>

  • 8x+3y=11

<u>Line parallel to the given has the same slope and passes through the point </u>

  • (9, -5)

<u>Determining the equation</u>

  • 8x + 3y = c
  • 8*9 + 3*(-5) = c
  • c=72 - 15
  • c = 57

<u>So the function is in </u><u>standard</u><u> form</u>

  • 8x + 3y = 57

<u>Converting to </u><u>slope-intercept</u><u> form</u>

  • y = mx + b
  • 3y = -8x + 57
  • y = -8/3x + 573
  • y = -8/3x + 19

<u>Point-slope</u><u> form, using the given point</u>

  • y - y1 = m(x - x1)
  • y - (-5) = -8/3(x - 9)
  • y + 5 = -8/3(x - 9)

6 0
3 years ago
Expand: In 2a3/b4<br> In 2 + 3 In a - 4 In b<br> In 2 - 3 In a - 4 In b<br> In 2-3 In a + 4 In b
weqwewe [10]

Answer:

ln(2) + 3ln(a) - 4ln (b)

Step-by-step explanation:

ln(2a^3 /b^4)

We know that ln(x/y) = ln (x) - ln y

ln(2a^3 ) - ln (b^4)

We know that ln (xy) = ln x + ln y

ln(2) + ln(a^3 ) - ln (b^4)

We know that ln(x^y) = y ln (x)

ln(2) + 3ln(a) - 4ln (b)

8 0
3 years ago
Which quadrilaterals must have both pairs of opposite angles that are congruent?
pashok25 [27]
The correct answer is c
7 0
2 years ago
Am I right if not can you please correct me??
Anna11 [10]

Answer:

Step-by-step explanation:

Just a tiny mistake.

You forgot the minus symbol in the white boxes, and also, you have to add them, not multiply. So you have

3x + 25 = 5x - 20

3 0
3 years ago
Read 2 more answers
A cylindrical soup can has a radius of 1.8 in. and is 6.7 in. tall. Find the volume of the can.
avanturin [10]
<h3><u><em>I</em></u><u><em>nitial considerations</em></u></h3>
  • <em>radius = 1.8 in</em>
  • <em>tall = 6.7 in</em>
  • <em>Volume?</em>

<h3><u><em>Resolution</em></u></h3>

<em>Volume = base area x tall</em>

<em>base area = π x (1.8in)²</em>

<em>base area = 10.179 in²</em>

<em>Volume = 10.179 in² x 6.7 in</em>

<em>Volume = 68.198 in³</em>

<h3 /><h3><em><u>Answer</u></em></h3>

<em>the volume is 68.198 in³</em>

5 0
3 years ago
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