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2 years ago

0.5(3 repeating) as a fraction

1 answer:

7 0

A) x = 0.5555. Multiply both sides by 100
b) 100x = 55.55

Now subtract a) from b):

100x - x = 55.55 - 0.55
99x = 55
x = 55/99 = 0.55555..

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−4 4/5 ÷ 4 A. -1 1/5 B. -4/5 C. 4/5 D. 1 1/5

kogti [31]

Answer:

A. -1⅕

Step-by-step explanation:

$-4\frac{4}{5}\div 4 = -4,8\div 4 = -1,2 = -1 \frac{1}{5}$

I am joyous to assist you anytime.

7 0

3 years ago

Y=3x-1 y=-2x+4 what is the sum of x and y in the solution to the system

prohojiy [21]

Answer:

y=1,2 y=2

Step-by-step explanation:

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2 years ago

What is the explicit formula for this sequence -7, -4, -1, 2, 5

Nataliya [291]

Answer:

$\large\boxed{a_n=3n-10}$

Step-by-step explanation:

It's an arithmetic sequence.

$-4-(-7)=-4+7=3\\-1-(-4)=-1+4=3\\2-(-1)=2+1=3\\5-2=3$

The difference is constant.

The explicit formula of an arithmetic sequence:

$a_n=a_1+(n-1)d$

Substitute:

$a_1=-7,\ d=3$

$a_n=-7+(n-1)(3)$ use distributive property

$a_n=-7+3n-3\\\\a_n=3n+(-7-3)\\\\a_n=3n-10$

6 0

3 years ago

For all real numbers x and y, if x # y = x(x-y), then x # (x # y) =

kati45 [8]

$x\#y=x(x-y)\\\\x\#(x\#y)\\\\x\#y=x(x-y)=x^2-xy\\\\x\#(x\#y)=x\#(x^2-xy)=x[x-(x^2-xy)]=x(x-x^2+xy)\\\\=x^2-x^3+x^2y$

$x^2-x^3+x^2y=8\\\\x^2(1-x+y)=8\\\\x^2(1-x+y)=2^2\cdot4\iff x^2=2^2\ and\ 1-x+y=4\\\\x=2\ and\ y=4-1+x\\\\x=2\ and\ y=3+2\\\\x=2\ and\ y=5$

8 0

3 years ago

Read 2 more answers

Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or movie. Adrian will earn $

gayaneshka [121]

Answer:

Adrian's songs played on 9 commercials and 5 movies.

Step-by-step explanation:

Let x denotes number of commercials and y denotes number of movies.

Total number of commercials and movies = 14

So,

$x+y=14\\x=14-y\,\,\,\,...(i)$