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NikAS [45]
3 years ago
12

An item on sale costs 80% of the original price. The original price was $22.

Mathematics
1 answer:
sergejj [24]3 years ago
8 0

Answer:

17.6

Step-by-step explanation:

22 x .80 =17.6

17.6 is 80% of 22 so that would be your answer

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In the diagram, point D is the center of the medium-sized circle that passes through C and E, and it is also the center of the l
mestny [16]

9514 1404 393

Answer:

  5/8

Step-by-step explanation:

The area of the smaller circles is proportional to the square of the ratio of their diameters. The two smallest circles have diameters equal to 1/4 the diameter of the largest circle. Hence their areas are (1/4)^2 = 1/16 of that of the largest circle.

Similarly, the medium circle has a diameter half that of the largest circle, so its area is (1/2)^2 = 1/4 of the are of the largest circle.

The smaller circles subtract 2×1/16 +1/4 = 3/8 of the area of the largest circle. Then the shading is 1-3/8 = 5/8 of the area of the largest circle.

3 0
3 years ago
un frasco de jugo tiene una capacidad de 3/8 de litro ¿cuantos frascos se pueden llenar con cuatro litros y medio de jugo?
tangare [24]
Tenemos que

la capacidad del frasco es igual a 3/8 de litro
cuatro litros y medio es igual a decir 4 1/2 litros----> (4*2+1)/2----> 9/2 litros

realizamos una regla de tres
 si un frasco tiene capacidad para--------------> 3/8 litros
 X frascos-----------------------------------------> para 9/2 litros
X=(9/2)/(3/8)--------> 72/6-----> 12 frascos

la respuesta es
12 frascos
6 0
3 years ago
Every set of three points must be collinear.
maria [59]

Answer:

I suppose you're trying to make a triangle of some sort on a plane! So, in this case, yes the three points would reside all on the same plane. Making all three of them collinear.

3 0
3 years ago
What is the index? <br><img src="https://tex.z-dn.net/?f=%20-%2012%20%5Csqrt%5B5%5D%7B7x%7D%20" id="TexFormula1" title=" - 12 \s
Lyrx [107]
12(7x)^1/5

This is simplification into index form, the index itself is the 5th root of 7x if you just wanted to state what it is
7 0
3 years ago
Read 2 more answers
​Find all roots: x^3 + 7x^2 + 12x = 0 <br> Show all work and check your answer.
Aliun [14]

The three roots of x^3 + 7x^2 + 12x = 0 is 0,-3 and -4

<u>Solution:</u>

We have been given a cubic polynomial.

x^{3}+7 x^{2}+12 x=0

We need to find the three roots of the given polynomial.

Since it is a cubic polynomial, we can start by taking ‘x’ common from the equation.

This gives us:

x^{3}+7 x^{2}+12 x=0

x\left(x^{2}+7 x+12\right)=0   ----- eqn 1

So, from the above eq1 we can find the first root of the polynomial, which will be:

x = 0

Now, we need to find the remaining two roots which are taken from the remaining part of the equation which is:

x^{2}+7 x+12=0

we have to use the quadratic equation to solve this polynomial. The quadratic formula is:

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Now, a = 1, b = 7 and c = 12

By substituting the values of a,b and c in the quadratic equation we get;

\begin{array}{l}{x=\frac{-7 \pm \sqrt{7^{2}-4 \times 1 \times 12}}{2 \times 1}} \\\\{x=\frac{-7 \pm \sqrt{1}}{2}}\end{array}

<em><u>Therefore, the two roots are:</u></em>

\begin{array}{l}{x=\frac{-7+\sqrt{1}}{2}=\frac{-7+1}{2}=\frac{-6}{2}} \\\\ {x=-3}\end{array}

And,

\begin{array}{c}{x=\frac{-7-\sqrt{1}}{2}} \\\\ {x=-4}\end{array}

Hence, the three roots of the given cubic polynomial is 0, -3 and -4

4 0
3 years ago
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