Write 12.4% as a decimal and simplified fraction

Mathematics

1 answer:

Gnom [1K]11 months ago

6 0

Given the following question:

We are given 12.4%

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5 × 10 to the power of 22 is how many times greater than 1 × 10 to the power of 21

alekssr [168]

Answer:

50 times greater

Step-by-step explanation:

If there are two numbers A and B, where A is greater than B,

If we want to find how many times greater A is to B, we simply divide, so that would be

A/B

Now, we have

$5*10^{22}$

and

$1*10^{21}$

We simply need to divide to find how much greater is the first number than the second number. Remember dividing numbers in scientific notation:

$\frac{a*10^b}{c*10^d}\\=(\frac{a}{c})*10^{b-d}$

Thus, we have:

$\frac{5*10^{22}}{1*10^{21}}\\=(\frac{5}{1})*10^{22-21}\\=5*10^{1}\\=5*10\\=50$

So the first number is 50 times greater than the second

4 0

3 years ago

Beth is purchasing chocolate and vanilla ice cream cups for a birthday party. She needs a total of 24 ice cream cups and twice a

frez [133]

constraint 1
let
x = number of cups of chocolate
y = number of cups of vanilla
The equation that represents the total number of ice cream is:
x + y = 24
constraint 2
the ratio of the number of chocolate cups to vanilla cups is
y = (1/2) x
Using equations 1 and 2, you can find the number of cups of each favor required.
answer:
x + y = 24
y = (1/2) x

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3 years ago

System of equations

nalin [4]

Answer:

The solution of the system of equations is the point (-3,0)

Step-by-step explanation:

we have

$-3x+y=9$ -----> equation A