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stiv31 [10]
3 years ago
8

What number increased by 20 percent equals 78?

Mathematics
2 answers:
Katarina [22]3 years ago
8 0
93.6

78*0.20=15.6
78+15.6=93.6
bogdanovich [222]3 years ago
6 0

Answer:

65.

Step-by-step explanation:

Let x represent our required number.

We are asked to find the number which is equal to 78 when increased by 20 percent.

After increasing by 20%, our number would be x+\frac{20}{100}x=x+0.20x=1.20x.

To solve for x, we will set an equation as:

1.20x=78

\frac{1.20x}{1.20}=\frac{78}{1.20}

x=65

Therefore, our required number is 65.

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AfilCa [17]
1/2 x^2 - x + 5 = 0
Multiply through by 2 to get:
x^2 - 2x + 10 = 0
x= \frac{-b\pm\sqrt{b^2-4ac}}{2a}; where a = 1, b = -2 and c = 10
x=\frac{-(-2)\pm\sqrt{(-2)^2-(4\times1\times10)}}{2\times1}\\=\frac{2\pm\sqrt{4-40}}{2}\\=\frac{2\pm\sqrt{-36}}{2}\\=\frac{2\pm6i}{2}\\=1\pm3i
Therefore, x = 1 + 3i or x = 1 - 3i
4 0
4 years ago
George wants to move the terms around (change the order) when he is simplifying an expression. Which property allows him to do t
wolverine [178]

The only property that you can change the order by moving the terms around and still arrive at the same answer is;  commutative property.

<h3>How to use properties of algebra?</h3>

In mathematics, there are different properties of Algebra such as;

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Now, among all these properties the only property that you can change the order by moving the terms around and still arrive at the same answer is the commutative property.

Example of commutative property is;

5 + 4 + 3 = 4 + 3 + 5

Read more about properties of algebra at;brainly.com/question/2284285

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4 0
2 years ago
In the figure below, BD and EC are diameters of circle P. What is the arc measure of AE in degrees?
Snowcat [4.5K]

Answer:

27°

Step-by-step explanation:

Since BD is a diameter then arc BD = 180°

∠ APE = 180° - (90 + 63)° = 180° - 153° = 27°

The measure of the arc AE is equal to the angle at the centre subtended by it.

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3 years ago
If the ratio of the purple flower
muminat
Im not positive but im pretty sure it's 27
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4 years ago
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yanalaym [24]

Answer:

Hello

Step-by-step explanation:

y=2x^2-12x+19\\=2(x^2-6x)+19\\=2(x^2-2*3*x+9)+19-18\\=2(x-3)^2+1\\\\Vertex\ is\ (3,1)\\\\Axis\ of\ symmetry\ is\ x=3\\\\y-intercept\ is \\\\y=2(0-3)^2+1=19\\

7 0
3 years ago
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