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2 years ago

If 60 is increased by 90%, what is the new amount?

Mathematics

1 answer:

balu736 [363]2 years ago

3 0

Answer:

114

Step-by-step explanation:

1.14 x 10²

pls mark me as brailiest if it is correct and learn well

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The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu

IgorC [24]

Answer:

$\frac{1}{9}$

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

$\sqrt{xy}$

The Arithmetic mean is

$\frac{x + y}{2}$

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

$\frac{ \sqrt{xy} }{ \frac{x + y}{2} } = \frac{3}{5}$

We can write the equation;

$\sqrt{xy} = 3$

$xy = 9 - - - (2)$

and

$\frac{x + y}{2} = 5$

$x + y = 10 - - - (2)$

Make y the subject in equation 2

$y = 10 - x - - - (3)$

Put equation 3 in 1

$x(10 - x) = 9$

$10x - {x}^{2} = 9$

${x}^{2} - 10x + 9 = 0$

$(x - 9)(x - 1) = 0$

$x =1 \: or \: 9$

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

$\frac{1}{9}$

3 0

2 years ago

What is the sales tax of a $178.90 video game system is the tax rate is 3.75%

juin [17]

It would be: 178.90 * 3.75%
= 178.90 * 0.0375
= 6.71

In short, Sales tax would be $6.71

Hope this helps!

3 0

3 years ago

A flagpole flying the Ohio state flag is 9/10 the height of a 30 foot-tall

kumpel [21]

The flag pole flying the Ohio state flag would be 27 feet tall. you just take 30, divide it by 10 and then multiply it by 9.

4 0

3 years ago

Common household electric current is called alternating current because the current alternates direction within the wires. The v

Rainbow [258]

Answer:

n = 18 cycles

Step-by-step explanation:

To know how many times does the current oscillates in the given time, you take into account that the number of oscillation can be calculated by using the following expression:

$n=ft$ (1)

f: frequency of the oscillation of the current

t: time = 0.30s

The frequency is the number of cycles per second, that is, f = 60 cycles/s

You replace the values of f and t in the equation (1):

$n=(60\frac{cycles}{s})(0.30s)=18\ cycles$

In 0.30s the current oscillates 18 times

5 0

2 years ago

A club has 6 members. From these members,the positions of president and vice president have to be filled. In how many different

Eddi Din [679]

<h3>Therefore, in $^6C_2$ =15 ways can these 2 position be filled .</h3>

Step-by-step explanation:

Given a club has 6 members. From these member ,the position of president and vice president have to be filled.

Therefore, in $^6C_2$ =15 ways can these 2 position be filled

6 0

3 years ago