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Ivahew [28]
3 years ago
15

0.5x-7= 0.3 solve the equation​

Mathematics
1 answer:
Lena [83]3 years ago
3 0

Answer:

<h3>\boxed{ \bold{ \boxed{ \sf{x = 14.6}}}}</h3>

Step-by-step explanation:

\sf{0.5x - 7 = 0.3}

Move 7 to right hand side and change it's sign

⇒\sf{0.5x = 0.3 + 7}

Add the numbers

⇒\sf{0.5x = 7.3}

Divide both sides of the equation by 0.5

⇒\sf{ \frac{0.5x}{0.5}  =  \frac{7.3}{0.5} }

Calculate

⇒\sf{x = 14.6}

Hope I helped!

Best regards!!

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What is the equation for the translation of x2 + y2 = 16 seven units to the right and five units up?
asambeis [7]

Answer:

  • (x − 7)2 + (y − 5)2 = 16

Step-by-step explanation:

The given circle has equation

\sf \: x^2+y^2=16x

The equation of a circle with center (h,k) and radius r units is

\sf(x-h)^2+(y-k)^2=r^2(x−h)

\sf(x-7)^2+(y-5)^2=4^2(x−7)

\sf(x-7)^2+(y-5)^2=16(x−7)

<h2>❖ Tip❖ :- </h2>

This is the equation that has its center at the origin with radius 4 units.

When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).

6 0
2 years ago
Five thousand tickets are sold at​ $1 each for a charity raffle. Tickets are to be drawn at random and monetary prizes awarded a
aksik [14]

Answer:

the expected value of this raffle if you buy 1​ ticket = -0.65

Step-by-step explanation:

Given that :

Five thousand tickets are sold at​ $1 each for a charity raffle

Tickets are to be drawn at random and monetary prizes awarded as​ follows: 1 prize of ​$500​, 3 prizes of ​$300​, 5 prizes of ​$50​, and 20 prizes of​ $5.

Thus; the amount and the corresponding probability can be computed as:

Amount                            Probability

$500 -$1 = $499                1/5000

$300 -$1 = $299                3/5000

$50 - $1 = $49                     5/5000

$5 - $1 = $4                      20/5000

-$1                                   1- 29/5000 = 4971/5000

The expected value of the raffle if 1 ticket is being bought is  as follows:

E(x) = \sum x  * P(x)

E(x) = (499 * \dfrac{1}{5000} + 299 *\dfrac{3}{5000} + 49 *\dfrac{5}{5000} + 4 * \dfrac{20}{5000}  + (-1 * \dfrac{4971}{5000} ))

E(x) = (0.0998 + 0.1794+0.049 + 0.016  + (-0.9942 ))

E(x) = (0.3442 -0.9942 )

\mathbf{E(x) = -0.65}

Thus; the expected value of this raffle if you buy 1​ ticket = -0.65

7 0
3 years ago
What is 10x+12= 2(5x+6)
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6 0
3 years ago
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Marina86 [1]

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<u>Equation</u>

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<em>Multiplying two of the same sign ( - - , + + ) will always be positive.</em>

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Answ  reflection over x axis or a translation

Step-by-step explanation:

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