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3 years ago

Three times the sum of half Carlita's age and 3 is at least 12. What values represent Carlita's possible age?

Mathematics

2 answers:

a_sh-v [17]3 years ago

7 0

Answer:

Carlita is at least 2 years old

Step-by-step explanation:

Let x = Carlita's age

3[(1/2)x + 3] ≥ 12 Divide both sides by 3.

(1/2)x + 3 ≥ 4

(1/2)x ≥ 1

x ≥ 2

cestrela7 [59]3 years ago

5 0

Answer:

at least 6

Step-by-step explanation:

3(.5x+3)>12

1.5x+9>12

1.5>9

x>6

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A segment with endpoints A (4, 2) and C (1, 5) is partitioned by a point B such that AB and BC form a 1:3 ratio. Find B.

Furkat [3]

The coordinates of point B that divides the line in the ratio 1:3 is: ( C )(3.25, 2.75)

<h3>What is a line segment?</h3>

A line segment is formed by joining two points by a straight line.

Analysis:

The coordinates of point B(x,y) are gotten by the formula

x = $\frac{px2 + qx1}{p+q}$

y = $\frac{py2 + qy1}{p + q}$

where, x1 and y1 are coordinates of A and x2 and y2 are coordinates of B

are the values of the ratio p:q.

x1 = 4, x2 = 1 y1 = 5, y2 = 2, p = 1, q = 3

x = $\frac{(1 x 1) + (3 x 4)}{1 + 3}$ = 3.25

y = $\frac{(1 x 5) + ( 3 x 2)}{1+3}$ = 2.75

coordinates of B are ( 3.25, 2.75)

In conclusion, the coordinates of point B are (3.25, 2.75)

Learn more about line segment : brainly.com/question/2437195

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2 years ago

The correct simplification of (7x3y3)2.

anyanavicka [17]

<span>49 x^6 y^6
Assuming the 2 is an exponent.
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Brainiest would be nice.

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3 years ago

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A hybrid car can travel 45 miles on 1 gallon of gas. Determine the amount of gas needed for a 500 mile trip

Ilya [14]

12 gallons is needed for a 500 mile trip.

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3 years ago

7p + 3(-6p + 2) > 7p+9+1<br> Someone help me

olga_2 [115]

Answer:

p > -0.2222

Step-by-step explanation:

7p + 3(-6p + 2) > 7p + 9 +1

7p + (3*-6p + 3*2) > 7p + 10

7p - 18p + 6 > 7p + 10

-11p - 7p > 10 - 6

-18p > 4

p > 4/-18

p > -0.2222

3 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:

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

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

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

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3 years ago