All categories

1 year ago

Please help me!

Mathematics

1 answer:

Zigmanuir [339]1 year ago

8 0

Answer:

s = 14

Step-by-step explanation:

Step 1: Combine like terms.

$(\frac{2}{3}s + \frac{5}{6}s) = 21$
$(\frac{4}{6}s + \frac{5}{6}s) = 21$
$\frac{9}{6}s = 21$
$\frac{3}{2}s=21$

Step 2: Multiply both sides by 2/3.

$\frac{3}{2}s * \frac{2}{3} = 21 * \frac{2}{3}$
$s = \frac{42}{3}$
$s = 14$

You might be interested in

How to model the problem

Ilia_Sergeevich [38]

Change 5/3 to 15/9. Then add 15 + 17 and put it over 9. 32/9

7 0

2 years ago

A tank that holds up 10 gallons. when its active, a drain empties water from the tank at a constant rate, when Jada first see th

Mamont248 [21]

Answer:

-2/3 gallon/minute

Step-by-step explanation:

In three minutes the water volume has decreased by 2 gallons (7 less 5 is 2). The unit rate of decrease of the amount of water in the tank is thus:

- 2 gallons

------------------- = -2/3 gallon/minute

3 minutes

6 0

2 years ago

Anna is planning a big birthday bash for her sixteenth birthday party and wants to invite as many people as possible but she has

Doss [256]

Im not an expert or anything, but i think for the innequality, i would say

$6.50p + 100 \leqslant 500$

as far as the amount of people she can invite, do 500-100=400 because of the setup fee, then, to find how many people she can invite. 400÷6.50 which leaves you with the highest amount of people she can invite without going over budget, as 61.

3 0

3 years ago

In the diagram, 0, is the centre of the

Lubov Fominskaja [6]

I think the answer is A

8 0

1 year 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:

$\theta = \cos^{-1} \frac{(0.530)\cdot (0.545)+(-0.848)\cdot (0.839)}{(1)\cdot (1)}$

$\theta \approx 115^{\circ}$

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

4 0

2 years ago