All categories

4 years ago

What equivalent fractions could you write to add 1/2 and 2/3

1 answer:

6 0

1/2 = 3/6 2/3 = 4/6

The Least Common Multiple (LCM) of the 2 denominators is 6 so, find a way (multiplying) to get the 2 denominators to 6. You multiply 2 by 3 to get 6 and 3 by 2 to get 6, you also need to multiply the numerator by whatever you multiplied the denominator by.

You might be interested in

Lance has 70 cents, Margaret has three-fourths of a

marin [14]

Answer:

B Margaret

Step-by-step explanation:

lance = 70¢

margaret = 3/4× 100¢ = 75¢

guy = .25× 2 = 50¢

bill= 6× 10 = 60¢

margaret has the most

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%7C3%20-%20x%7C%20%20-%20%28x%20-%201%29%20%3D%204" id="TexFormula1" title=" |3 - x| - (x

aleksley [76]

Answer:

$x=0$

Step-by-step explanation:

Evaluate all the arithmetic first, and then remember absolute value equations have two possible ways to go (+ and -).

You can see how I split them on the 3rd line, later demonstrating how the 2nd one is invalid.

$|3-x|-x+1=4\\\\|3-x|-x=3\\\\3-x-x=3\\-(3-x)-x=3\\\\3-2x=3\\-3+x-x=3\\\\-2x=0\\-3\neq 3\\\\x=0\\-3\neq 3\\$

Therefore, the solution is $x=0$

4 0

3 years ago

dos aviones parten de una ciudad con direcciones S32°E y E57°N¿ cuál es el angulo que forma sus direcciones?

Elan Coil [88]

Answer:

El ángulo formado entre las dos direcciones es aproximadamente 115º.

Step-by-step explanation:

Las direcciones dadas en el enunciado significan lo siguiente:

S32ºE - <em>32º al este del sur.</em>

E57ºN - <em>57º al norte del este.</em>

Vectorialmente hablando, cada dirección es la siguiente:

S32ºE

$A(x,y) = (\sin 32^{\circ}, -\cos 32^{\circ})$

$A(x,y) = (0.530, -0.848)$

E57ºN

$B(x,y) = (\cos 57^{\circ},\sin 57^{\circ})$

$B(x,y) = (0.545, 0.839)$

El ángulo formado entre los dos vectores unitarios ( $\theta$ ), medido en grado sexagesimales, puede determinarse mediante la siguiente ecuación vectorial:

$\theta = \cos^{-1} \frac{A\,\bullet \,B}{\|A\|\cdot \|B\|}$

Donde:

$\|A\|$ - Norma de $A(x,y)$ .

$\|B\|$ - Norma de $B(x,y)$ .

Si sabemos que $A(x,y) = (0.530, -0.848)$ , $B(x,y) = (0.545, 0.839)$ , $\|A\| = 1$ y $\|B\| = 1$ , entonces el ángulo formado entre los dos vectores es: