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Mandarinka [93]
2 years ago
10

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

or

xy = 9 -  -  - (2)

l

and

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

or

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
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