All categories

3 years ago

A+b/a-b=5/3 what are the following ratios? 3a:2b

Mathematics

2 answers:

mezya [45]3 years ago

8 0

Answer:

3a:2b=6:1

Step-by-step explanation:

given, $\frac{a+b}{a-b}$ = $\frac{5}{3}$

3(a+b)=5(a-b)

3a+3b=5a-5b

2a=8b

a=4b

3a:2b=3(4b):2b=12b:2b=6:1

hence 3a:2b=6:1 answer

Papessa [141]3 years ago

7 0

Answer:

3 a : 2 b = 6 : 1

Step-by-step explanation:

$\frac{a + b}{a - b}$ = $\frac{5}{3}$

3 ( a + b) = 5 ( a - b)

3 a + 3 b = 5 a - 5 b

5 b + 3 b = 5 a - 3 a

8 b = 2 a

2 a = 8 b

a = 4 b

3 a = 3 × 4 b

3 a = 12 b

3 a: 2 b = 12 b : 2 b

3 a : 2 b = 6 : 1

You might be interested in

a hotel has enough food for 125 guest to last 16 days. how long will the food last if 25 more guest check-in to the hotel ?

timama [110]

3.2 less days than 16 because each 25 is 5 than 16 divide by 5 is 3.2

6 0

2 years ago

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by

11111nata11111 [884]

Answer:

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is $V=l\times b\times h$

$V=(11-2x)\times (7-2x)\times x$

$V=4x^3-36x^2+77x$

Derivate w.r.t x,

$V'(x)=4(3x^2)-2(36x)+77$

$V'(x)=12x^2-72x+77$

The critical point when V'(x)=0

$12x^2-72x+77=0$

Solve by quadratic formula,

$x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}$

$x=4.607,1.392$

Derivate again w.r.t x,

$V''(x)=24x-72$

Now, $V''(4.607)=24(4.607)-72=38.568>0$ (+ve)

$V''(1.392)=24(1.392)-72=-38.592$ (-ve)

So, there is maximum at x=1.392.

The length of the box is $l=11-2x$

$l=11-2(1.392)=8.216$

The breadth of the box is $b=7-2x$

$b=7-2(1.392)=4.216$

The height of the box is h=1.392.

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is $V=l\times b\times h$

$V=8.216\times 4.216\times 1.392$

$V=48.217\ in.^3$

The volume of the box is 8.217 cubic inches.

5 0

3 years ago

Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. How much money did she save????

andrey2020 [161]

Given:

Normal price of a tv = $200

Coupon = 25% off

To find:

The money saved by Katherine.

Solution:

Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. It means, the money saved by Katherine is 25% of normal price of tv, i.e., $200.

$Saving=25\%\text{ of }200$