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maria [59]
2 years ago
5

tanner collected 360 cans and bottles, this was 40% of what Reggie collected, how many cans and bottles did Reggie collect

Mathematics
2 answers:
Kay [80]2 years ago
5 0
360x.6+360=576
I got .6 because 40% would be .4 and 40+60=100
So Riggie collected 576 cans and bottles
s2008m [1.1K]2 years ago
3 0


Tanner = 40% * Reggie;

Reggie = Tanner : 40%;

Reggie = 360 : 40/100 = 360 * 100/40 = 900 bottles

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The width of a rectangle is two cm less than 8 times the length. The perimeter is 88 cm. What is the width and length of the rec
kati45 [8]

Let's the length to be x,

then the width is 8x - 2.

Perimeter of a rectangle = 2*Width + 2*Length

Perimeter of the rectangle = 2(8x-2) + 2x = 16x - 4 + 2x = 18x - 4

Ar the same time, Perimeter of the rectangle = 88.

So, we can write

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3 years ago
A<br> (Triangle)ABC is isosceles.<br> AB= 88 and CB = 12x + 4.<br> B<br> x= [?]
CaHeK987 [17]

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X=7 because 88=12x+4. Simple math gives you x=7

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2 years ago
Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1
nikdorinn [45]

Answer:

<em>Area of polygon D = 10 square units</em>

Step-by-step explanation:

<u>Given:</u>

Polygon <em>C </em>has an area of 40 square units.

It is scaled with a scale factor of \frac{1}2 to form a new polygon D.

<u></u>

<u>To find:</u>

The area of polygon D = ?

<u>Solution:</u>

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

  • First of all, let us consider a right angled triangle with sides <em>6, 8 and 10 units.</em>

Area of a right angled triangle is given by:

A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units

If scaled with a factor \frac{1}{2}, the sides will be 3, 4 and 5.

New area, A':

A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A

i.e. Area becomes one fourth.

  • Let us consider a rectangle now.

Sides be 8 and 10 units.

Area of a rectangle, A = Length \times Width = 8 \times 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 \times 5 =20 sq units

So, \bold{A' = \frac{1}4 \times A}

Now, we can apply the same in the given question.

\therefore Area of polygon D = \bold{\frac{1}{4}}\times Area of polygon C

Area of polygon D = \bold{\frac{1}{4}}\times 40 = <em>10 sq units</em>

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2 years ago
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