User:Egil530/matematikk

From Wikipedia, the free encyclopedia

Barn \; x\,
Voksne \; y\,
5x + 7y \, = 5 \,
4x + 4y \, = 3,2 \,
\frac{5x}{5} \, = \frac{5}{5} - \frac{7y}{5} \,
x \, = 1 - 1,4y \,
4(1-1,4y)+4y \, = 3,2 \,
4 - 5,6y + 4y \, = 3,2 \,
4 - 3,2 \, = 5,6y - 4y \,
\frac{0,8}{1,6} \, = \frac{1,6y}{1,6} \,
y \, = 0,5 \,
x \, = 1 - 1,4y \,
x \, = 1 - 1,4 \times 0,5 \,
x \, = 1 - 0,7 \,
x \, = 0,3 \,
3 \times 0,3\, = 0,9 \; kg \,
10 \times 0,5\, = 5 \; kg \,
0,9 + 5\, = 5,9 \; kg \,


slutt

y_3 = 16433,42 \approx 16433,50 \; kr

\begin{vmatrix} \times 4 \end{vmatrix}

13! = 6227020800 \,

13! = 6.227.020.800 \,

6,98 \; $/ounce\, =6,98 \times 6,43 \; kr /28,349 \; g \,
\frac{44,8814 \; kr}{28,35}/\frac{28,35 \; g}{28,35}\, =1,583 \; kr / g \,

35+39+33 = 107 \; g\, 107 \times 0,830= 88,81 \; g \, 88,81 \times 13= 1154,53 \; g \, 1154,53 \times 1,583= 1827,62 \; kr \approx 1827,50 \; kr \,

Brukes senere:

35 \; g \ times 1,583 \; kr/g\, = \,
\frac{44,8814 \; kr}{28,35}/\frac{28,35 \; g}{28,35}\, =1,583 \; kr / g \,


\frac{(x-100)+x+(x-100) \times 2+2x}{4}\, =825\,
(x-100)+x+(x-100) \times 2+2x \, = 3300 \,
x-100+x+2x-200+2x \, = 3300 \,
x+x+2x+2x \, = 3300+100+200 \,
\frac{6x}{6} \, = \frac{3600}{6} \,
x \, = 600 \,
2,5:10\, =0,25 \; l \; saft\,
0,25 \times 9 \, = 2,25 \; l \; vann \,
2,25 : 5 \, = 0,45\,
0,45 - 0,25\, = 0,2 \; l \; saft\,
4 \times \pi \times \ 5^2 \, =314,159 \; cm^2\,
s \, = \sqrt{5^2+5^2} = 7,071 \,
\pi (5 \times 5 + 5 \times 7,071) \, = \pi (25+35,355) = 189,61 \; cm^2\,
314,159 \; cm^2 + 189,61 \; cm^2 \, =503,769 \; cm^2\,
503,769 \; cm^2 \times 20 \, = 10075,38 \; cm^2 \approx 1 \; m^2\,

A = \pi r(r+s) \,

A = \pi r (r+ \sqrt{r^2 + h^2})

Y_n = Y_0\left (1+ \frac{p}{100} \right )^n

Y_n = Y_0\left (1+ \frac{p}{100} \right )^n

\frac{\pi \times 5^2 \times 5}{3} \, \approx 130,9 \; cm^3\,
\frac{4 \times \pi \times 5^3}{3} \, \approx 523,6 \; cm^3 \,
130,9 \; cm^3 + 523,6 \; cm^3 \, =654,5 \; cm^3 = 0,6545 \; dm^3\,
0,6545 \; dm^3 \times 3,1 \; kg/dm^3\, =2,02895 \; kg\,
2,02895 \; kg \times 20 \, =40,57 \; kg \approx 40,5 \; kg\,


(2x)^2 \, =x^2+6^2 \,
(2x)^2-x^2 \, =6^2 \,
4+4x+x^2-x^2 \, =6^2 \,
4+4x \, =36 \,
4x \, =36-4 \,
\frac{4x}{4} \, = \frac{32}{4} \,
x \, =8 \,