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LiRa [457]
3 years ago
7

Tammy is on her way home in her car. She has driven 18 miles so far, which is two-thirds of the way home. What is the total leng

th of her drive?
Mathematics
1 answer:
Kamila [148]3 years ago
3 0

Answer:

27

Step-by-step explanation:

1/3 is 9 miles or if you don't know multiply 18 by 3/2 and it will result in a whole which gets you your destination miles.

18 times 3/2

27 miles

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In the school library, 28% of the books are non-fiction. If there are 1.224 fiction books in
denis-greek [22]

Answer:

1700 books

Step-by-step explanation:

We are given;

  • % of non-fiction books in the library as 28%
  • Number of fiction books in the library as 1,224 books

We are required to determine the total number of books.

First we determine the percentage of non-fiction books

We need to know that;

% of fiction books + % of non-fiction books = 100%

Therefore;

% of non-fiction books = 100 % - 28 %

                                    = 72%

Second we determine the total number of books

We know that;

Total number of books = 100%

But;

72% = 1,224 books

Therefore;

Total number of books = (1,224 × 100%) ÷ 72%

                                      = 1700 books

Hence, the library has a total number of 1700 books

7 0
3 years ago
Help help help please please please
slavikrds [6]

Answer:

(-2,2)(5,-6)(5,2)

Step-by-step explanation:

just did this problem

8 0
3 years ago
Jada has a sleeping bag that is rated for 30° F. This means that if the temperature outside is at least 30° F, Jada will be able
Likurg_2 [28]

Answer:

30-70 degrees F Actually read my response because it explains

Step-by-step explanation:

Well if the outside air is 30 degrees F and the rated temp. for the sleeping bag is 30 then the temp. for the sleeping bag has to be anywhere from 30 and up. Probably like 30 through 70. I didnt really know what the question was because you didn't really make it clear but I tried my best. :)

Hope this helps!!!!!

Pls mark brainliest

3 0
3 years ago
The number that appears in the middle of an organized set of data from least to greatest
kvv77 [185]
The answer is median
5 0
3 years ago
Read 2 more answers
17. Write the standard form of the equation of the circle
user100 [1]

Answer:

  (x -1)^2 + (y -2)^2 = 13

Step-by-step explanation:

The two given points are the end points of a chord, so the center will be on its perpendicular bisector. That is, the center will be at the point of intersection of the given line and the perpendicular bisector of the given chord.

To find that point, we can write the equation of the perpendicular bisector, then solve the simultaneous equations.

The perpendicular bisector can be written as ...

  Δx(x -(3+4)/2) +Δy(y -(5+0)/2) = 0

  (3 -4)(x -7/2) + (5 -0)(y -5/2) = 0

  -x -9 +5y = 0 . . . . . eliminate parentheses

We can add 3 times this equation to the given equation to find the solution for the circle center.

  (3x +2y) + 3(-x -9 +5y) = (7) + 3(0)

  17y -27 = 7

  y = 34/17 = 2

  x = 5y -9 = 1

The circle center is (h, k) = (1, 2).

The square of the radius can be found by substituting one of the given points into the formula for the circle. That formula is ...

  (x -h)^2 + (y -k)^2 = r^2

Filling in the values for (h, k) and the first given point, we find ...

  (4 -1)^2 + (0 -2)^2 = r^2 = 13

The standard form equation for the circle through the given points with the center on the given line is ...

  (x -1)^2 + (y -2)^2 = 13

_____

<em>Comments on equation for a line</em>

There are a lot of ways to write the equation of a line. Often, I like to use standard form: ax +by = c. When given two points, (x1, y1) and (x2, y2), this can take the form ...

  Δy(x -x1) -Δx(y -y1) = 0

where (Δx, Δy) = (x2 -x1, y2 -y1).

The perpendicular line through some point (h, k) will be of the form ...

  Δx(x -h) +Δy(y -k) = 0

Note the change in sign for the second term and the switching of Δx and Δy. This is what makes the slope be the negative reciprocal of the slope of the above line through the two points.

For the perpendicular bisector, the point (h, k) needs to be the midpoint of the segment between (x1, y1) and (x2, y2). That midpoint is the average of the two segment endpoints:

  (h, k) = ((x1+x2)/2, (y1+y2)/2)

7 0
3 years ago
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