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oksian1 [2.3K]
3 years ago
6

Brian tried to solve a math problem on his math homework. Here's one of the questions he had to answer. How do you solve 2/3p +

3; p = 3/5? Make sure that you show your work!
Mathematics
1 answer:
Bumek [7]3 years ago
8 0

Answer:

The answer would be 17/5

Step-by-step explanation:

To solve this, take the original equation and input 3/5 for p.

2/3p + 3

2/3(3/5) + 3

Now complete the multiplication followed by the addition.

2/3(3/5) + 3

2/5 + 3

17/5

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I need help with an algebra assignment right away!
Georgia [21]

So remember that slope-intercept form is y = mx+b (m = slope, b = y-intercept) and standard form is ax+by = c. (a and b are coefficients and c is the constant)

Starting with the first question: 9x + 2y = 6

Firstly, subtract 9x on both sides: 2y = -9x + 6

Next, divide both sides by 2, and your equation will be y = -4.5x + 3

Now with the next equation: y - 3 = 4(x + 1)

Firstly, foil 4(x + 1): y - 3 = 4x + 4

Next, subtract y on both sides: -3 = 4x - y + 4

Next, subtract 4 on both sides, and your answer will be: -7 = 4x - y

Next equation: y + 7 = -2(x - 3)

Firstly, foil -2(x - 3): y + 7 = -2x + 6

Next, subtract 7 on both sides of the equation, and your answer will be: y = -2x - 1

Next: y - 5 = 3(x - 2) (part a)

Firstly, foil 3(x - 2): y - 5 = 3x - 6

Next, add 5 on both sides, and your equation is: y = 3x - 1

Next, y - 5 = 3(x - 2) (part b)

Firstly, foil 3(x - 2): y - 5 = 3x - 6

Next, subtract y on both sides of the equations: -5 = 3x - y - 6

Next, add 6 on both sides of the equation, and your answer will be: 1 = 3x - y

4 0
3 years ago
Kelly runs a restaurant that sells two types of desserts. Kelly knows that the restaurant must make at least 25 dozen and at mos
mash [69]

Answer:  Whats is the question asking???

Step-by-step explanation:

5 0
3 years ago
An honest die is rolled. If the roll comes out even (2, 4, or 6), you will win $1; if the roll comes out odd (1,3, or 5), you wi
jenyasd209 [6]

Answer:

(a) 50%

(b) 47.5%

(c) 2.5%

Step-by-step explanation:

According to the honest coin principle, if the random variable <em>X</em> denotes the number of heads in <em>n</em> tosses of an honest coin (<em>n</em> ≥ 30), then <em>X</em> has an approximately normal distribution with mean, \mu=\frac{n}{2} and standard deviation, \sigma=\frac{\sqrt{n}}{2}.

Here the number of tosses is, <em>n</em> = 2500.

Since <em>n</em> is too large, i.e. <em>n</em> = 2500 > 30, the random variable <em>X</em> follows a normal distribution.

The mean and standard deviation are:

\mu=\frac{n}{2}=\frac{2500}{2}=1250\\\\\sigma=\frac{\sqrt{n}}{2}=\frac{\sqrt{2500}}{2}=25

(a)

To not lose any money the even rolls has to be 1250 or more.

Since, <em>μ</em> = 1250 it implies that the 50th percentile is also 1250.

Thus, the probability that by the end of the evening you will not have lost any money is 50%.

(b)

If the number of "even rolls" is 1250, it implies that the percentile of 1250 is 50th.

Then for number of "even rolls" as 1300,

1300 = 1250 + 2 × 25

        = μ + 2σ

Then P (μ + 2σ) for a normally distributed data is 0.975.

⇒ 1300 is at the 97.5th percentile.

Then the area between 1250 and 1300 is:

Area = 97.5% - 50%

        = 47.5%

Thus, the probability that the number of "even rolls" will fall between 1250 and 1300 is 47.5%.

(c)

To win $100 or more the number of even rolls has to at least 1300.

From part (b) we now 1300 is the 97.5th percentile.

Then the probability that you will win $100 or more is:

P (Win $100 or more) = 100% - 97.5%

                                   = 2.5%.

Thus, the probability that you will win $100 or more is 2.5%.

7 0
2 years ago
Consider the line y=1 x -1 and the point P=(2,0).
Montano1993 [528]

Answer:

Step-by-step explanation:

d(x)=√((x-2)2+(y-0)²)

=√((x-2)²+y²)

=√((x-2)²+(x-1)²)

=√(x²-4x+4+x²-2x+1)

=√(2x²-6x+5)

D=d²(x)=2x²-6x+5

b.\\\frac{dD}{dx}=4x-6\\\frac{dD}{dx}=0,gives \\4x-6=0\\x=\frac{3}{2}\\\frac{d^2D}{dx^2}=4 >0 at x=\frac{3}{2}\\so~D~or~d^2~or~d~is~minimum~at~x=\frac{3}{2}\\so~y=1(\frac{3}{2} )-1=1/2=0.5\\so~nearest~point~is~(1.5,0.5)

8 0
2 years ago
I need two answers to 0.75x + 0.8(x + 10) = 101. Please do your best
DanielleElmas [232]

Answer:

60

Step-by-step explanation:

7 0
2 years ago
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