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miskamm [114]
3 years ago
5

Luke has 48 books.He puts 7 books in a box.How many boxes can he fill?explain how you interpreted the remainder

Mathematics
2 answers:
dem82 [27]3 years ago
6 0
6 boxes of books with 1 left over
Alex17521 [72]3 years ago
3 0
48 books divided by 7 books per box. So since 7 can go into 48 6 times to make 42, the remainder is 6 books are left out. 6 boxes are filled. I interpreted the remainder by subtracting 42 from 48. And that's all I did. :)

I hope you like this answer and have a good night! :D
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the legs of a right triangle have lengths of 28 meters and 21 meters. the hypotenuse has a length of 5x meters. what is the valu
Hitman42 [59]
We have a right triangle with
a = one leg = 28
b = other leg = 21
c = hypotenuse = 5x

use the pythagorean theorem (a^2+b^2 = c^2) and solve for x

a^2+b^2 = c^2
28^2+21^2 = (5x)^2
784+441 = 25x^2
1225 = 25x^2
25x^2 = 1225
(25x^2)/25 = 1225/25
x^2 = 49
sqrt(x^2) = sqrt(49)
|x| = 7
x = 7 or x = -7

Since the hypotenuse has length 5x meters, this means
5x = 5*7 = 35
or
5x = 5(-7) = -35

Toss out the negative length as it makes no sense. 

The only value of x is x = 7

Therefore the final answer is x = 7
6 0
3 years ago
What is the image of (-7,-1) after a dilation by a scale factor of 4 centered at the origin
nlexa [21]

Answer: (-28,-4)  

Step-by-step explanation:

Multiply the x and y coordinate values by the scale factor to find the image.

-7 * 4 = -28  

-1 * 4 = -4

(-28,-4)

7 0
3 years ago
Solve for x thanks in advance 12x+k=c im confused plz dont ask me what the question even means
vova2212 [387]
The answer is x = c - k over 12
8 0
3 years ago
Read 2 more answers
The width of a photo is 5 inches less than its length. A border of 2 inches is placed around the photo. The area covered by the
DaniilM [7]

Answer:

Dimensions of photo excluding border:

x = 11 inches

y = 6 inches

Step-by-step explanation:

Let the length be 'x' and width be 'y'.

The width of a photo is 5 inches less than its length, that is:

x-5 = y

let 'X' be length of photo including border and 'Y' be the width of photo including border:

Where X = x+2 and Y = y+2

Now , we have X-5 = Y

and X*Y = 104 square inches

*putting Y = X-5*

X(X-5) = 104

X^2 - 5X - 104 = 0

X^2 - 13X + 8X - 104 =

X(X-13)+8(X-13) = 0\\(X-13)(X+8)

⇒ X-13 = 0          or        X+8 = 0

Hence X = 13       or X = -8

As length can not be negative, X = 13 inches

Y = X-5 = 13-5 = 8 inches

Dimensions of photo excluding border:

x = X - 2 = 13-2 = 11 inches

y = Y-2   =  8-2 =  6 inches

6 0
3 years ago
A recipe for cake calls for a ratio of 1 cup of sugar for every 2 cups of flour. If Janelle wants
chubhunter [2.5K]

Answer:

3 cups of sugar and 6 cups of sugar

PLZ MARK BRAINLIEST!!!

Step-by-step explanation:

6 0
3 years ago
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