All categories

3 years ago

Alexis12yearsolderthanGeorge.

Mathematics

2 answers:

stiks02 [169]3 years ago

4 0

Answer:

1 : 12 : 4

Step-by-step explanation:

Carl = C

George = G

Alex = A

A = 12 + G , G = A - 12

C = 3 * A

C + G + A = 68

Substitute new values for G and C into equation

3 * A + A - 12 + A = 68

5A - 12 = 68

Add 12 to both sides of the equation

5A = 80

A = 16

Alex is 16 years old

Carl is 48 years old

George is 4 years old

4 : 48 : 16

Simplify

2 : 24 : 8

Simplify further

1 : 12 : 4

Hope this helps :)

Arisa [49]3 years ago

3 0

Answer:

Step-by-step explanation:

Let George's age be x years

Alexis is (x+12)years

Carl is 3(x+12) years =(3x +36)years

Sum of their ages =68

x+x+12+3x+36=68

5x+48=68

5x=68-48=20

x=20/5= 4years

George is 4 years old

Alexis is 4+12 =16 years old

Carl is 3 times alexis age = 3×16= 48 years old

Ratio of George to Carl to Alex is 4:48:16

Reduce to lowest term since 4 can still go through

Ratio =1:12:4

You might be interested in

A sprinter who weighs 706 N runs the first 5.5 m of a race in 1.6 s, starting from rest and accelerating uniformly. What are the

zhenek [66]

Answer:

(a) Speed = 6.875 m/s

(b) Kinetic Energy = 1.70 kJ

Step-by-step explanation:

Given:

d = 5.5 m

t = 1.6 s

W = 706 N

Part (a)

Using the equation of motion with the assumption of zero initial speed:

$d = \frac{1}{2} ({v-0})t$

$5.5= \frac{1}{2} (1.6v)$

The speed of the sprinter then become:

$v = 6.875 m/s$

Part (b)

Convert the weight of the sprinter to mass:

$m = \frac{w}{g}$

$m = \frac{706}{9.8}$

$m = 72 kg$

KE (Kinetic Energy) can then be calculated as:

$KE = \frac{1}{2} mv^{2}$

$KE = \frac{1}{2} (72)(6.875)^{2}$

$KE = 1701.56 J = 1.70 kJ$

Part (c)

The change of the kinetic energy is equivalent to the work done by the sprinter. The average power P is the rate of the work done and can be calculated as

$P = \frac{KE}{t} \\\$

$P = \frac{1701.56}{1.6}$

$P = 1063.48 W = 1.06 kW$

5 0

3 years ago

What’s the answer to (5 x 10^4) x (6 x 10^9) please help me

san4es73 [151]

Answer: 300000000000000 Scientific Notation: 3 x 10^14

Step-by-step explanation: (5 x 10^4) = 50000 (6 x 10^9) = 6000000000

50000 x 6000000000 = 300000000000000

7 0

2 years ago

Select ALL the correct answers.

IgorC [24]

Answer:

A. 4(x - 4) + 2(3x² + 3x - 20)

C. (11x² + 7x - 55)-(5x² - 3x + 1)

F. (3x² + 5x - 28) + (3x² + 5x - 28)

Step-by-step explanation:

Given:

(3x-7)(2x+8)

= 6x² + 24x - 14x - 56

=6x² + 10x - 56

A. 4(x - 4) + 2(3x² + 3x - 20)

= 4x - 16 + 6x² + 6x - 40

= 6x² + 10x - 56

B. (3x² + 5x - 28) - (2x² + 4x + 28)

= 3x² + 5x - 28 - 2x² - 4x - 28

= x² + x - 56

C. (11x² + 7x - 55)-(5x² - 3x + 1)

= 11x² + 7x - 55 - 5x² + 3x - 1

= 6x² + 10x - 56

D. 4(x - 4) - 2(3x² + 3x - 20)

= 4x - 16 - 6x² - 6x + 40

= - 6x² - 2x + 24

E. (11x² + 7x - 55)-(5x² - 3x + 2)

= 11x² + 7x - 55 - 5x² + 3x - 2

= 11x² - 5x² + 7x + 3x - 55 - 2

= 6x² + 10x - 57

F. (3x² + 5x - 28) + (3x² + 5x - 28)

= 3x² + 5x - 28 + 3x² + 5x - 28

= 6x² + 10x - 56

7 0

3 years ago

What angle does an arc 6.6cm in length subtends at the centre of a circle of radius 14cm. Use π = 22/7)

aniked [119]

Answer:

STEP 1: Find the circumference:

Circumference = 2πr

Circumference = 2π(14) = 28π cm

............................................................................................

STEP 2: Find the length of the arc:

Length of the arc = 36/360 x 28π

Length of the arc = 8.8 cm

.............................................................................................

Answer: The length of the arc is 8.8 cm

............................................................................................

hope it helpssss

Mark it as brilliant answer plzzz

ФωФ

4 0

3 years ago

Read 2 more answers

Solve x^2 − 4x = 14.

DENIUS [597]

Minus 14 from both sides
x²-4x-14=0
use quadratic formula because we cant factor

for
ax²+bx+c=0
$x= \frac{-b+/- \sqrt{b^2-4ac} }{2a}$

so
1x²-4x-14=0
a=1
b=-4
c=-14

$x= \frac{-(-4)+/- \sqrt{(-4)^2-4(1)(-14)} }{2(1)}$
$x= \frac{4+/- \sqrt{16+56} }{2}$
$x= \frac{4+/- \sqrt{72} }{2}$
$x= \frac{4+/- 6\sqrt{2} }{2}$
$x= 2+/- 3\sqrt{2}$

the solutions are
x=2+√3 and
x=2-√3

3 0

3 years ago