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puteri [66]
2 years ago
10

A farmer has a house at the point (0, 0). He has a corn field that can be found by driving 1 unit up, 2 units right, 3 units dow

n, and then 3 units right. If he instead walks diagonally to his corn field, how far has he gone? Round to 2 decimal places.
Mathematics
2 answers:
frutty [35]2 years ago
8 0

Answer:

5 units to the right and 1 unit down

6 units

(5, -1)

Soloha48 [4]2 years ago
6 0

Answer:

right 6 units

Step-by-step explanation:

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There are 20 percent more goblins than wizards in magic club. There are 120 goblins in magic club.
sineoko [7]

Answer:

144

Step-by-step explanation:

120 x 1.20 = 144

.20 is 20% and adding the 1 adds it to the original value

5 0
2 years ago
Let <img src="https://tex.z-dn.net/?f=%5Csf%20a%2Bb%2Ca-b%2Cab%2C%5Cdfrac%7Ba%7D%7Bb%7D" id="TexFormula1" title="\sf a+b,a-b,ab,
Black_prince [1.1K]

Answer:

  • 171/40 or 4 11/40

Step-by-step explanation:

<h3>AP given</h3>
  • a + b, a - b,  ab, a/b
<h3>To find</h3>
  • 6th term
<h3>Solution</h3>

Common difference

<u>Difference of first two</u>

  • d = (a -b) - (a + b) = -2b

<u>Difference of second two</u>

  • d= ab - (a - b)

<u>Difference of last two</u>

  • d = a/b - ab

<u>Now comparing d:</u>

  • -2b = ab - (a - b)
  • ab - a = - 3b
  • a(1 - b) = 3b
  • a = 3b/(1 - b)

and

  • a/b - ab = -2b
  • a(1/b - b) = -2b
  • a = 2b²/(b² - 1)

<u>Eliminating a:</u>

  • 2b²/(b² - 1) = 3b/(1 - b)
  • 2b/(b+1) = -3
  • 2b = -3b - 3
  • 5b = - 3
  • b = -3/5

<u>Finding a:</u>

  • a = 3b/(1 - b) =
  • 3*(-3/5) *1/(1 - (-3/5)) =
  • -9/5*5/8 =
  • -9/8

<u>So the first term is:</u>

  • a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40

<u>Common difference:</u>

  • d = -2b = -2(-3/5) = 6/5

<u>The 6th term:</u>

  • a₆ = a₁ + 5d =
  • -69/40 + 5*6/5 =
  • -69/40 + 240/40 =
  • 171/40 = 4 11/40
8 0
2 years ago
A gym teacher has $250 to spend on volleyball equipment. She buys 4 volleyball nets for $28 each. Volleyball cost $7 each. How m
Sonbull [250]
First find out how much the 4 volleyball nets are by using 4*28 which would equal to 112. Now subtract 112 from 250 and that leaves you with 138. Then you divide 138 by 7 which will give you about 19.7 which you need to take all decimals out since it isn’t an whole number. The gym teacher can only buy 19 volleyballs.
6 0
2 years ago
Liam is setting up folding chairs for a meeting. If he arranges the chairs in 9 row of the same length, he has 3 chairs left ove
EleoNora [17]
<span>Let the number of chairs in a row be x, then the total number of chairs is 9x + 3 = 7x + 19. i.e. 9x + 3 = 7x + 19; 9x - 7x = 19 - 3; 2x = 16 x = 16/2 = 8. Thus there are 8 chairs in each row. Therefore, the total number of chairs is given by 9(8) + 3 = 72 + 3 = 75.I hope that my answer is helpful! Let me know if you need something more :)</span>
8 0
3 years ago
Which statement is true? A matrix separates rational and irrational numbers. A matrix separates positive and negative numbers. A
Jet001 [13]
I'm pretty sure the answer is "A matrix separates rational and irrational numbers." (Note: I'm not that great with memorizing definitions, but I'm pretty sure.) Hope this helps :)
5 0
3 years ago
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