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Paul [167]
2 years ago
5

Consider the equation 4 plus v equals 8 minus startfraction 5 over 3 endfraction v.v 4 startfraction 5 over 3 endfraction v plus

4 equals 8 minus startfraction 1 over 3 endfraction v. v = 8. what is the resulting equation after the first step in the solution? v 4 = 8 – v startfraction 4 over 3 endfraction v plus 4 equals 8.v 4 = 8 4 v = 8 – 4 plus v equals 8 minus startfraction 5 over 3 endfraction v.v 2v 4 = 8
Mathematics
1 answer:
Svetach [21]2 years ago
7 0

The resulting equation which is obtained after the first step in the solution of the provided equation is 2v +4=8.

<h3>What is an algebraic expression?</h3>

Algebraic expression are the expression which consist the variables, coefficients of variables and constants. The algebraic expression is used to represent the general problem in the mathematical way to solve them.

Consider the following equation,

\dfrac{5}{3}v +4+\dfrac{1}{3}v=8

To solve this equation, first we have to arrange the similar terms one side of the equation as,

\dfrac{5}{3}v+\dfrac{1}{3}v +4=8

Solve it further by taking LCM,

\dfrac{5+1}{3}v +4=8\\\dfrac{6}{3}v+4=8\\2v +4=8\\

Hence, the resulting equation which is obtained after the first step in the solution of the provided equation is 2v +4=8.

Learn more about the algebraic expression here;

brainly.com/question/2164351

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What is the system of inequalities associated with the following graph?
slamgirl [31]

One line passes through the points (-2,3) and (0,-3) , it means the y intercept is b=-3

and slope m = \frac{(-3-3)}{0-(-2)}

= \frac{-6}{2}= -3

So the equation of line will be y= -3x -3

And the inequality should be y\geq -3x-3

Or 3x +y \geq -3

And the other line passes through (-2,3) and (0,2)

So the y intercept is b=2

and the slope is m= \frac{2-3}{0-(-2)} = \frac{-1}{2}

So the equation of line will be y= \frac{-1}{2} x +2\\and the inequality should be  y \leq \frac{-1}{2} x+2

Or

2y +x \leq 4

So answer is 3x +y \geq -3,  x+2y\leq 4

6 0
4 years ago
Read 2 more answers
James bought 6 baseball cards at a garage sale for $0.45 each. He sold them to a collector for $1.25 each. What was his profit?
nata0808 [166]

Answer:

$4.80.

Step-by-step explanation:

hope this helps

3 0
3 years ago
When the Defense Department ordered 132 new airplanes, the cost per plane was estimated to be $580 million. A cut in the order t
aliina [53]

Answer:

C. The loss of economies of scale

By definition represent "the cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output decreasing with increasing scale" and thats the corrct option since if we increase the order we have a lower price.

Step-by-step explanation:

Assuming the following options we analyze one by one to select the correct one

A. A move to minimum efficient scale

By definition the minimum efficient scale (MES) or efficient scale of production is "the lowest point where the plant can produce such that its long run average costs are minimized" but thats not the case since the department order new planes and the costs are not minimized .

B. The law of diminishing returns

The law of diminishing marginal returns says that "at some point, adding an additional factor of production results in smaller increases in output" but that's not the case since we don't have smaller increases in output.

C. The loss of economies of scale

By definition represent "the cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output decreasing with increasing scale" and thats the corrct option since if we increase the order we have a lower price.

D. An increase in fixed cost

That's False since on this case we don't have a fixed cost, the cost on this case depend on the size of the order.

4 0
3 years ago
A real estate agent has 19 properties that she shows. She feels that there is a 30% chance of selling any one property during a
netineya [11]

Answer:

P(X \geq 5)=1-P(X

We can find the individual probabilities:

P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114

P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092

P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358

P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869

P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491

And replacing we got:

P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=19, p=0.3)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(X \geq 5)

And we can use the complement rule:

P(X \geq 5)=1-P(X

We can find the individual probabilities:

P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114

P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092

P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358

P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869

P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491

And replacing we got:

P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178

4 0
3 years ago
Jan spends part of her year as a member of a gym. She then finds a better deal at another gym, so she cancels her membership wit
ivann1987 [24]

Answer:

Number of months spent in first gym = 9

Number of months spent in second gym = 3

Step-by-step explanation:

Let she spent x months in a year at first gym and y months in a year at second gym

Now, there are 12 months in one year

⇒ x + y = 12

y = 12 - x .......(1)

Now, total money she spent in one year = $825

⇒ 75·x + 50·y = 825 .........(2)

Putting value of y from equation (1) in equation (2)

75·x + 50·(12 - x) = 825

⇒ 75·x - 50·x + 600 = 825

⇒ 25·x = 225

⇒ x = 9

Now, putting this value of x in equation(1)

⇒ y = 12 - 9

⇒ y = 3

Hence, number of months spent in first gym = 9

And number of months spent in second gym = 3

7 0
4 years ago
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