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Alexus [3.1K]
3 years ago
11

Multiplying fractions. Eight ninths times four fifths

Mathematics
1 answer:
Leni [432]3 years ago
6 0
\frac{8}{9} *\frac{4}{5} = \frac{8*4}{9*5}= \\\frac{32}{45} \frac{32}{45} [/tex]


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The length of a rectangle is twice its width. Find its area, if its perimeter is 7 and 1/3 cm.
laila [671]

Answer:

2.99 cm²

Step-by-step explanation:

<em>(The "..." at the end of the decimal means that number is repeating)</em>

The perimeter of a rectangle is the length around the shape. The equation for a rectangle's perimeter is L + W × 2, with L and W representing length and width, respectively (You multiply the length and width by two because the shape is four-sided, so it has two length sides and two width sides). To find the area of the rectangle, you need to know the individual length and width, so you'll solve for that first.

Since you're only given the perimeter and you know the length is double the width, you'll need to work backwards with this equation. To do this, first divide the perimeter (7 \frac{1}{3}, also written as 7.33...) by 2; this equals 3 \frac{2}{3\\}, also written as 3.66...

Next, you can find the length and width by determining what two numbers multiply to equal 3.66..., with one number being two times larger than the other number. The way I tend to think of this is that if one number is double the other, then the smaller number is one third of the sum of the two numbers (since the smaller number represents one part of the sum, and the other represents two parts of the sum, which is double the smaller number).

Since the length and width combine to be the divided perimeter, 3.66..., that means two thirds of 3.66... is the longer side (the length), and then the one third of 3.66... is the shorter side (the width). This means the length is 2.44... and the width is 1.22...

Finally, you can solve for the perimeter by dividing the perimeter by two and then subtracting the length squared. The written equation looks like this:

A = P\frac{1}{2} - L²

(A = area, P = perimeter, L = lenth)

Now just insert the numbers into the equation and solve!

The area of the rectangle is 2.99cm²

7 0
2 years ago
33 more than the product of 7 and a number x is less than 26.
iogann1982 [59]
7x +33 < 26 isolate the term with a variable by subtracting 33
7x < -7 divide by 7
x < -1
6 0
3 years ago
1. What is express the same relationship between two quantities.
Phantasy [73]
I do not know I will tell u but I think it is 65?
8 0
2 years ago
What is an algebraic expression to find the number of squares in the border of a 75x75 grid?
tigry1 [53]

Answer:

Well, if the grip is 75 x 75, you can rule out that the grid is 75 squares in each border.

Step-by-step explanation:

75 x 75 = a x b

a= horizontal side lengths

b= vertical side lengths

Rule that a= 75 squares and b= 75 squares.

8 0
3 years ago
Geometry! Please help!
kogti [31]
Angle ADB= 40 degrees.
The triangle ADB is equal to 180 degrees. Subtract 180-105=75
Since vertical angles are always congruent angle ABD= 35 degrees.
So 75-35=40.
I hope this is what you’re looking for
5 0
3 years ago
Read 2 more answers
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