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3 years ago

6

A 15% discount saves you $5 off the price of an electric game how much do you save off the regular price of the discount is Rave

to 45% explain your reasoning

1 answer:

xenn [34]3 years ago

8 0

You will save $15
x×0.15=5
x=33.33333
x×0.45=15

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Y=x+2<br> 3x+3y=6<br> solving systems by substitution

motikmotik

Answer:6

Step-by-step explanation:Reorder

2

2

and

−

x

-

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.

y

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−

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+

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-

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+

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3

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2

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x

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(

−

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2

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(

-

x

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2

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.

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y

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−

x

+

2

y

=

-

x

+

2

6

=

6

6

=

6

Since

6

=

6

6

=

6

, the equation will always be true.

y

=

−

x

+

2

y

=

-

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Always true

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6 0

3 years ago

Kayla has 14.5% of her salary placed into an Individual Retirement Account. What fraction is this?

Monica [59]

1. Convert percent into decimal (it will help)
$14.5\% = .145$
2. Convert Decimal to fraction
$\frac{.145}{1000}$

4 0

3 years ago

There are three power plants [X, Y, Z] that at any given time each one either generates electricity or idles. Event A is that pl

insens350 [35]

We're told that

$P(A\cap B)=0.15$

$P(A\cup B)^C=0.06\implies P(A\cup B)=0.94$

$P(B\mid A)=P(B^C\mid A)=0.5$

where the last fact is due to the law of total probability:

$P(A)=P(A\cap B)+P(A\cap B^C)$

$\implies P(A)=P(B\mid A)P(A)+P(B^C\mid A)P(A)$

$\implies 1=P(B\mid A)+P(B^C\mid A)$

so that $B\mid A$ and $B^C\mid A$ are complementary.

By definition of conditional probability, we have

$P(B\mid A)=P(B^C\mid A)$

$\implies\dfrac{P(A\cap B)}{P(A)}=\dfrac{P(A\cap B^C)}{P(A)}$

$\implies P(A\cap B)=P(A\cap B^C)$

We make use of the addition rule and complementary probabilities to rewrite this as

$P(A\cap B)=P(A\cap B^C)$

$\implies P(A)+P(B)-P(A\cup B)=P(A)+P(B^C)-P(A\cup B^C)$

$\implies P(B)-[1-P(A\cup B)^C]=[1-P(B)]-P(A\cup B^C)$

$\implies2P(B)=2-[P(A\cup B)^C+P(A\cup B^C)]$

$\implies2P(B)=[1-P(A\cup B)^C]+[1-P(A\cup B^C)]$

$\implies2P(B)=P(A\cup B)+P(A\cup B^C)^C$

$\implies2P(B)=P(A\cup B)+P(A^C\cap B)\quad(*)$

By the law of total probability,

$P(B)=P(A\cap B)+P(A^C\cap B)$

$\implies P(A^C\cap B)=P(B)-P(A\cap B)$

and substituting this into $(*)$ gives

$2P(B)=P(A\cup B)+[P(B)-P(A\cap B)]$

$\implies P(B)=P(A\cup B)-P(A\cap B)$

$\implies P(B)=0.94-0.15=\boxed{0.79}$

8 0

3 years ago

PLz help me this is 7th grade math

UkoKoshka [18]

Answer:

g = 118°, h = 62°, k = 140°, m = 40°

Step-by-step explanation:

g = 118°

h = 180 - 118 = 62°

k = 140°

m = 180 - 140 = 40°

5 0

3 years ago

Which statement makes the best open sentence 3x + 9 = 24 true?

Alisiya [41]

3x = 24 - 9
3x = 15
x = 15/3
x = 5

Answer: B) x= 5 or the second option.

8 0

3 years ago