All categories

3 years ago

The sum of two numbers is 56 . one number is 3 times as large as the other. what are the numbers?

Mathematics

1 answer:

KatRina [158]3 years ago

6 0

x+y=56

x=3y

3y+y=56

4y=56

y=14

x=14*3 =42

numbers are 14 & 42

You might be interested in

the cylinder has radius 4√3 and hight h. the total surface area of the cylinder is 56π√6. find the exact value of h giving the a

Arte-miy333 [17]

The area of the cylinder is a function of its height (h) and radius, ( $\mathbf{4\sqrt 3}$ )

The exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

The given parameters are:

$\mathbf{Area =56\pi\sqrt 6}$

$\mathbf{r=4\sqrt 3}$

The surface area of a cylinder is calculated as:

$\mathbf{Area = 2\pi rh + 2\pi r^2}$

Substitute values for Area

$\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}$

Divide through by pi

$\mathbf{56\sqrt 6= 2 rh + 2r^2}$

Substitute value for r

$\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}$

Collect like terms

$\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}$

Make h the subject

$\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}$

$\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}$

Rationalize

$\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}$

$\mathbf{h = 7\sqrt 2- 4\sqrt 3}$

Hence, the exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

Read more about surface areas t:

brainly.com/question/25131428

5 0

2 years ago

8. There are 4,800 plastic spoons in a case.

g100num [7]

Answer:

Each box has 800 spoons.

Step-by-step explanation:

4800/6=800

7 0

3 years ago

What is the scale factor in the dilation?

Alex Ar [27]

Answer:

Step-by-step explanation:

4 0

3 years ago

Write an equation that defines the function :)

xenn [34]

Answer:

see below

Step-by-step explanation:

Since the initial value is 5 and it increases by 3 every time x goes up the equation is y = 5 * 3^x.

3 0

3 years ago

A graph of a system of two equations is shown. PLEASE HELPP!!!!!

ale4655 [162]

Answer:

From the graph

$x=1$

$y=0$

--------------

hope it helps...

have a great day

4 0

2 years ago