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Katyanochek1 [597]
2 years ago
4

If 2x + 5 = 8x, then 12x = ? A 5 B 10 C 15 D 20

Mathematics
2 answers:
Evgesh-ka [11]2 years ago
7 0

Answer:

B. 10

Step-by-step explanation:

To find 12x, you first need to find the value of x using the first equation:

2x+5=8x

You need to get the variables (x) on the same side of the equation in order to simplify them. To do this, use reverse operations. Subtract 2x from both sides to keep the equation balanced:

2x-2x+5=8x-2x\\\\5=6x

Now isolate the variable (x) by dividing both sides of the equation by 6 (using reverse operations):

\frac{5}{6}=\frac{6x}{6}  \\\\\frac{5}{6}=x

Now insert the given value of x into 12x:

12(\frac{5}{6})

Simplify:

12*\frac{5}{6} \\\\\frac{12}{1}*\frac{5}{6}\\\\\frac{60}{6}=10

12x equals 10.

:Done

Alex73 [517]2 years ago
4 0

Answer:

10

Step-by-step explanation:

2x + 5 = 8x

Subtract 2x from each side

2x-2x + 5 = 8x-2x

5 = 6x

We want 12x so multiply each side by 2

2*5 = 6x*2

10 = 12x

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Mike and Jasmine have a combined age of 30. Mike is 3 years younger than twice Jasmines age. How old is Mike?
Kamila [148]
Mike is 19.

If you turn the question into an equation it turns to:
J x 2 - 3 = M

So since you don’t know Jasmine’s age you would use guess and check. 8,9, and 10 didn’t work but when you put in 11:
11 x 2 - 3 = M
22 - 3 = M
19 = M

And to check your work
J + M has to equal 30 so,
11 + 19 = 30
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6 0
2 years ago
Harrison Water Sports has two retail outlets: Seattle and Portland. The Seattle store does 60 percent of the total sales in a ye
Anna11 [10]

Answer: P = 0.75

Step-by-step explanation:

Hi!

The sample space of this problems is the set of all the possible sales. It is divided in the disjoint sets:

S_s = {\text{sales made in Seattle }}\\S_p={\text {sales made in Portland}}

We have also the set of sales of boat accesories S_b, the colored one in the image.

We are given the data:

P(S_s) = 0.6\\P(S_b | S_s) = \frac{P(S_b\bigcap S_s)}{P(S_s)}=0.4\\P(S_b|S_p) =\frac{P(S_b\bigcap S_p)}{P(S_p)}=0.2

From these relations you can compute the probabilities of the intersections colored in the image:

pink\;set:\;P(S_b \bigcap S_s) =0.6*0.4=0.24\\blue\;set\;:P(S_b \bigcap S_p)=(1-0.6)*0.2 =0.08

You are asked about the conditional probability:

P(S_s|S_b) = \frac{P(S_s \bigcap S_b)}{P(S_b)}

To calculate this, you need  P(S_b) . In the image you can see that the set S_b is the union of the two disjoint pink and blue sets. Then:

P(S_b)=P((S_b \bigcap S_s)\bigcup(S_b \bigcap S_p)) = 0.24 + 0.08 = 0.32

Finally:

P(S_s|S_b) = \frac{0.24}{0.32}=0.75

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2 years ago
100 POINTS!!!!ANSWER ASAP!!!
GarryVolchara [31]

2 mins per problem

10 mins and 5 questions left

hope it helps comment for any questions have an amazing day

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2 years ago
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Haley substituted the values of a, b, and c into the quadratic formula below. x = StartFraction negative (negative 10) plus or m
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Where does that StartFraction ... mess come from? -- I've seen it in other questions.

x = \dfrac{- -10 \pm \sqrt{(-10)^2 - 4(7)(-2)}}{2(7)}

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Convert the decimal expansion 0.1777 into a rational number.
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2 years ago
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