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3 years ago

Which calculation results in the best estimate of 148 % of 203

Mathematics

2 answers:

adoni [48]3 years ago

6 0

203---- 100%
x-----148%
x=203*148/100=203*1.48=300.44

SVEN [57.7K]3 years ago

3 0

Answer:

300.44 i think lol

Step-by-step explanation:

hope this helps

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Solve the following system of equations for all three variables.

GrogVix [38]

Answer:

(x,y,z) -> (2,4,1)

Step-by-step explanation:

-7x + y + z = -9

-7x + 5y - 9z = -3

7x - 6y + 4z = -6

Pick two pairs:

-7x + 5y - 9z = -3

7x - 6y + 4z = -6

and

-7x + y + z = -9

-7x + 5y - 9z = -3

Eliminate the same variable from each system:

-7x + 5y - 9z = -3

7x - 6y + 4z = -6

+ 5y - 9z = -3

- 6y + 4z = -6

-1y - 5z = - 9

-7x + y + z = -9

-7x + 5y - 9z = -3

-7x + y + z = -9

7x - 5y + 9z = 3

-4y - 10z = -6

Solve the system of the two new equations:

-1y - 5z = - 9 -> -4 ( -1y - 5z = - 9) -> 4y + 20z = 36

-4y - 10z = -6 -> -4y - 10z = -6 -> -4y - 10z = -6

10z = 30

Thus, z = 3

-4y - 10z = -6

-4y - 10(3) = -6

-4y - 30 = -6

-4y = 24

Thus, y = -6

Substitute into one of the original equations:

-7x + y + z = -9

-7x + (-6) + (3) = -9

7x + -3 = -9

7x = -6

x =

4 0

3 years ago

How do I write a decimal or fraction as a percent for 2/5

AleksandrR [38]

Answer:

40%

Step-by-step explanation:

Make it so the denominator is 100 since a percentage is out of a 100.

2/5 x 20/20 = 40/100

Now turn 40/100 into a percent. Should be simple. 40 out of 100 is 40%.

4 0

4 years ago

Integrate the following

enot [183]

I suppose you mean to have the entire numerator under the square root?

$\displaystyle\int_2^4\frac{\sqrt{x^2-4}}{x^2}\,\mathrm dx$

We can use a trigonometric substitution to start:

$x=2\sec t\implies\mathrm dx=2\sec t\tan t\,\mathrm dt$

Then for $x=2$ , $t=\sec^{-1}1=0$ ; for $x=4$ , $t=\sec^{-1}2=\frac\pi3$ . So the integral is equivalent to

$\displaystyle\int_0^{\pi/3}\frac{\sqrt{(2\sec t)^2-4}}{(2\sec t)^2}(2\sec t\tan t)\,\mathrm dt=\int_0^{\pi/3}\frac{\tan^2t}{\sec t}\,\mathrm dt$

We can write

$\dfrac{\tan^2t}{\sec t}=\dfrac{\frac{\sin^2t}{\cos^2t}}{\frac1{\cos t}}=\dfrac{\sin^2t}{\cos t}=\dfrac{1-\cos^2t}{\cos t}=\sec t-\cos t$

so the integral becomes

$\displaystyle\int_0^{\pi/3}(\sec t-\cos t)\,\mathrm dt=\boxed{\ln(2+\sqrt3)-\frac{\sqrt3}2}$

7 0

3 years ago

Whats the equation of the circle whose center and radius are given.

mote1985 [20]

(x+2)^2+(y+5)^2=1
...........

7 0

3 years ago

Read 2 more answers

Find the area of Pentagon ABCDE in which BL perpendicular to AC, CM perpendicular to AD, EN perpendicular to AD such that AC = 8

deff fn [24]

Answer:

Area ABCDE = 82 cm²

Step-by-step explanation:

ABCDE = ΔEAD + ΔDAC + ΔCAB

ABCDE = (12×5)/2 + (12×6)/2 + (8×4)/2 = 30+36+16 = 82

6 0

3 years ago