All categories

2 years ago

Can anybody help me plzz

Mathematics

1 answer:

Fittoniya [83]2 years ago

7 0

Answer:

1 : 12 : 4

Step-by-step explanation:

Let A, G, C represent the ages of Alex, George, and Carl, respectively. We are told that ...

A = G +12

C = 3A . . . . . . . we read this as "3 times as old"; not "3 times older"

A + G + C = 68

Substituting for G and C, we have ...

A + (A -12) +(3A) = 68

5A = 80 . . . . . add 12

A = 16 . . . . . . . divide by 5

The other ages are then ...

G = A-12 = 16 -12 = 4

C = 3A = 3·16 = 48

The ratios are ...

G : C : A = 4 : 48 : 16

G : C : A = 1 : 12 : 4

You might be interested in

A farmer is tilling a rectangular field that is 65 meters long and 72 meters wide. What is the distance between opposite corners

ss7ja [257]

Answer:

97m

Step-by-step explanation:

From the image below we solve using pythagoras's theorem

x^2 = 72^2 + 65^2

x^2 = 5184 + 4225

x^2 = 9408

x = 97 m.

Further explanation is shown 8n the image.

3 0

3 years ago

Use the figure below to determine the length of sides b and c.

AnnyKZ [126]

Hi umm what figure I have no idea what you are talking about

4 0

2 years ago

Read 2 more answers

A. 2x + 11 = 9x - 3<br> I need the steps on how to get x=2

xz_007 [3.2K]

Answer:

x = 2

Step-by-step explanation:

11+3 = 9x-2x

14 = 7x

x = 14/7

x = 2

Hope I helped! :)))

6 0

2 years ago

A family of six equal shares 3/5 pounds of peanuts what fraction of a pound of peanuts does each person receive

mylen [45]

1/10 because 3/5 divided by 6 equals 1/10

5 0

3 years ago

Read 2 more answers

I need to know the improper fractions answers for:

zmey [24]

Answer:

Part 1) $x=\frac{15}{2}\ units$

Part 2) $z=\frac{15\sqrt{3}}{2}\ units$

Part 3) $y= \frac{15\sqrt{3}}{4}\ units$

Part 4) $b= \frac{45}{4}\ units$

Step-by-step explanation:

step 1

Find the value of x

In the large right triangle

$cos(60^o)=\frac{x}{15}$ ----> by CAH (adjacent side divided by the hypotenuse)

Remember that

$cos(60^o)=\frac{1}{2}$

substitute

$\frac{1}{2}=\frac{x}{15}$

solve for x

$x=\frac{15}{2}\ units$ ---> improper fraction

step 2

Find the value of z

In the large right triangle

Applying the Pythagorean Theorem

$15^2=x^2+z^2$

substitute the value of x

$15^2=(\frac{15}{2})^2+z^2$

solve for z

$z^2=15^2-(\frac{15}{2})^2$

$z^2=225-\frac{225}{4}$

$z^2=\frac{675}{4}$

$z=\frac{\sqrt{675}}{2}\ units$

simplify

$z=\frac{15\sqrt{3}}{2}\ units$

step 3

Find the value of y

In the right triangle of the right

$sin(30^o)=\frac{y}{z}$ ---> by SOH (opposite side divided by the hypotenuse)

substitute the given values of y and z

Remember that

$sin(30^o)=\frac{1}{2}$

$\frac{1}{2}=y:\frac{15\sqrt{3}}{2}$

solve for y

$\frac{1}{2}= \frac{2y}{15\sqrt{3}}$

$y= \frac{15\sqrt{3}}{4}\ units$

step 4

Find the value of b

In the right triangle of the right

$cos(30^o)=\frac{b}{z}$ ---> by CAH (adjacent side divided by the hypotenuse)

substitute the given values of y and z

Remember that

$cos(30^o)=\frac{\sqrt{3}}{2}$

$\frac{\sqrt{3}}{2}=b:\frac{15\sqrt{3}}{2}$

solve for y

$\frac{\sqrt{3}}{2}= \frac{2b}{15\sqrt{3}}$

$b= \frac{45}{4}\ units$

7 0

3 years ago

Can anybody help me plzz​

Can anybody help me plzz