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sveta [45]
3 years ago
10

A student finished 8 of her homework problems in class. If the ratio of problems she finished to problems she still had left was

4:1, how many homework problems did she have total?
Mathematics
1 answer:
nirvana33 [79]3 years ago
5 0

Answer:

10

Step-by-step explanation:

8/4*5=10

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Find all of the points on the x-axis which are 6 units from the point (−1, 1).
anyanavicka [17]
All the points that are 6 units from (-1, 1) are those on the circle
  (x+1)^2 +(y-1)^2 = 36

For y=0, the two points of interest satisfy
  (x+1)^2 +1 = 36
  (x+1)^2 = 35 . . . . . . subtract 1
  x+1 = ±√35
  x = -1±√35

The points you seek are (-1-√35, 0) and (-1+√35, 0), about (-6.916, 0) and (4.916, 0).

5 0
3 years ago
25 POINTS AND BRAINLIEST
kondor19780726 [428]

Answer:

4.24 hours

Step-by-step explanation:

Irina can paint 1/9 of a room in 1 hour since she can paint a room in 9 hours. 1/9x, where x is the number of hours she works and 1/9 of a room per hour is her speed, would be her part of the calculation.

Paulo can paint 1/8 of a room in 1 hour since he can paint an entire room in 8 hours. 1/8x, where x is the number of hours he works and 1/8 of a room per hour is his speed, would be his part of the equation.

1/9x + 1/8x = 1 (Irina's portion of the room plus Paulo's portion of the room equals one complete room) would be the equation.

Look for a denominator that has the same value as the numerator. Both 9 and 8 split evenly into 72 as the initial number. We multiply the top of 1/9 by 8 to convert the fraction and get 8/72x because 9*8 = 72. We multiply the top of 1/8 by 9 to convert the fraction and get 9/72x because 8*9 = 72. We have 8/72x+9/72x=1 currently.

17/72x=1

÷ both sides by 17/72:

17/72x ÷ 17/72 = 1÷17/72

∴ x=1/1 * 72/17

∴ x=72/17= 4.24

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2 years ago
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3 years ago
Question 8<br> A scuba diver descends 13 feet and then another 20 feet. What is his final position?
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4 0
3 years ago
Read 2 more answers
5.b) If z^(1/2)=x^(1/2)+y^(1/2) , show that (x+y-z)^2=4xy
Rudik [331]

Answer:

Step-by-step explanation:

  • (x+y-z)²= 4xy
  • (x+y-z)²- 4xy = 0
  • (x+y-z)²-(2√x√y)² = 0
  • (x+y-z-2√x√y)(x+y-z+2√x√y) =0
  • [(√x-√y)²-z]*[(√x+√y)²-z]=0
  • (√x-√y)²-z = 0 or (√x+√y)²-z = 0

We have : z^(1/2)= x^(1/2)+y^(1/2) ⇒ √z = √x + √y ⇒ z = (√x + √y)²

  • so (√x+√y)²-z = 0

so (x+y-z)²= 4xy

3 0
3 years ago
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