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liubo4ka [24]
3 years ago
15

Ratio equivalent to 12:21 with lower terms

Mathematics
2 answers:
slamgirl [31]3 years ago
8 0
12:21 Each / by 3= 4:7
Mamont248 [21]3 years ago
6 0
4:7 because 21/3 is 7 and 12/3 is 4.
Hope this helped:))
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the length of a rectangle is 7 inches more than its width, if the perimiter of the rectangle is 66 inches, find its dimensions.
Maurinko [17]
Perimeter of rectangle=66
length of rectangle=L
width of rectangle=w
P of a rect.= 2(length)+ 2(width)
66= 2L+2w

if the length is 7in more than the width, then
L=7+w

Now we will substitute 7+w in for L. Here is our new equation:

66=2(7+w) + 2w

Solve for w

66=14+2w+2w
66=14+4w
52=4w
w=13
L=7+13, so L=20

I hooe this is explained well enough
3 0
3 years ago
a group raised $276 for its favorite charity. this is 23% of the amount it hopes to raise. how much money does the group want to
OverLord2011 [107]

Answer: The group wants to raise $1,200.

Step-by-step explanation:

We can use a proportion to solve.

part/whole = percent/100

If we insert the values:

276/x = 23/100

We can cross multiply.

276 x 100 = 27,600

27,600 / 23 = 1,200

$1,200 is the answer.

6 0
2 years ago
I need help simplifying both of these. thank you!
4vir4ik [10]
<h3>Answer:</h3>
  1. -100x +100; 3
  2. 5x +81; 162
<h3>Step-by-step explanation:</h3>

The distributive property is your friend. It tells you ...

  a(b + c) = ab + ac

It can also be used to simplify the product of binomials (or other polynomials).

  (a +b)^2 = (a +b)(a +b) = a(a +b) + b(a +b) = a^2 +ab +ab +b^2

  (a +b)^2 = a^2 +2ab + b^2 . . . . . . . worth remembering

1. (x -10)^2 -x(x +80) = (x^2 -20x +100) +(-x^2 -80x)

  = -100x +100 . . . . . . simplified form

For the purposes of calculation, it can be easier to factor out 100:

  = 100 (1 -x)

Then for x = 0.97

  = 100(1 -0.97) = 100(0.03) = 3

___

2. (2x +9)^2 -x(4x +31) = (4x^2 +36x +81) -4x^2 -31x = 5x +81

For x = 16.2, this is ...

  5(16.2) +81 = 81 +81 = 162

_____

The purpose of the attachment is to show the evaluation is correct.

5 0
3 years ago
The width of a DVD case is the same as the width of a
konstantin123 [22]

Answer:

12m

Step-by-step explanation:

Given that the area of the square  DVD case is 144 square cm

Since Area = L²

144 =L²

L = √144

L = 12m

Since the width of the DVD and its case are the same, hence the with of the DVD is also 12m

5 0
3 years ago
42 ÷ 1 1<br> -<br> 2<br><br> is equal to
Bad White [126]

Step-by-step explanation:

or alternative answer is 1.818181...

5 0
1 year ago
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