Spencer has a wooden post that is five and three sevenths feet long. He cut two and one half feet off the post. What is the length of the remaining post in feet?

Step-by-step explanation:

substitute the value of y

3x+2x+3=-2 (collect like term)

5x=-2-3 (calculate the difference)

5x=-5 (both side over 5)

x=-1

i hop it helps you❤

Probabilities are used to determine the chances of an event

The probability of event B is 0.62

The probabilities are given as:

[tex]\mathbf{P(A) = 0.48}[/tex]

[tex]\mathbf{P(A\ and\ B) = 0.21}[/tex]

[tex]\mathbf{P(A\ or\ B) = 0.89}[/tex]

To calculate the probability of event B, we make use of the following formula

[tex]\mathbf{P(A\ and\ B) = P(A) + P(B) - P(A\ or\ B)}[/tex]

So, we have:

[tex]\mathbf{0.21 = 0.48 + P(B) - 0.89}[/tex]

Collect like terms

[tex]\mathbf{P(B)= -0.48 +0.21 + 0.89}[/tex]

[tex]\mathbf{P(B)= 0.62}[/tex]

Hence, the probability of event B is 0.62

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Answer: Undefined: Needs more data

Step-by-step explanation: What is the timespan over which they have retired? Is this a direct relationship?

Answer:

  -3

Step-by-step explanation:

We can add -3x to put the equation into slope-intercept form.

  y = -3x +15

The gradient of the line (slope) is the coefficient of x: -3.

The gradient is -3.

Answer: What question do you need help with?

Answer:

do u eat cat litter

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'm guessing at this a bit.

The final score will depend on what is par for each hole and/or for the entire course.  The scores for the first four rounds were all negative.  That means Ko required fewer strokes to hit the hole than the number considered "par" for the course.

Let P stand for the Par of the course.  Then the score for each round would be:

P-3

P-4

P-7, and

P-2

The sum:  4P - 16 is her score for the first four rounds.  I have no clue if there are more than 4 rounds, but if there are, the equation would be:

For n rounds:

nP - ∑[tex]x_{n}[/tex]

where ∑[tex]x_{n}[/tex] is the sum of over/under pars for the n rounds.

Answer:

8 units

Step-by-step explanation:

Area of square = 2x3 = 6 units

Area of triangle = (2x2)/2 = 2 units

Total area = 6 +2 = 8 units

Answer:

As previous answer stated, 8 units

Step-by-step explanation:

You multiply one side of the square by another to get 6 units, then, add the units from the triangle

Answer:100$

Step-by-step explanation: you multiply 40x1 and 20x3

[tex]2x - \frac{3}{4} = \frac{1}{3} x + \frac{5}{6} \\ = > 2x - \frac{1}{3} x = \frac{5}{6} + \frac{3}{4} \\ = > \frac{6x - x}{3} = \frac{10 + 9}{12} \\ = > \frac{5x}{3} = \frac{19}{12} \\ = > x = \frac{19}{12} \times \frac{3}{5} \\ = > \frac{19}{20} \\ [/tex]

Therefore,

[tex]x = \frac{19}{20} [/tex]

verified.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

3/5

Step-by-step explanation:

Answer:

m1.m2 = -1

Step-by-step explanation:

In the case of the parallel line, the slope of the two lines is parallel to each other.

To make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.

To write an equation in the subject of a specified variable, isolate this variable at one side of the equation using the mathematical operations.

The expression given in the problem is,

[tex]p=6q +7[/tex]

This equation need to be written as the subject of q. Subtract 7 both side of the equation to do this,

[tex]p+7=6q +7-7\\p+7=6q[/tex]

Divide both side of equation with number 6.

[tex]\dfrac{p+7}{6}=q[/tex]

Rewrite the equation as,

[tex]q=\dfrac{p+7}{6}[/tex]

Thus, to make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.

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Answer:

Step-by-step explanation:

The hands are two line segments that share the same endpoint.

Answer:

No the question iant a function

Answer: I think it might be negative

Step-by-step explanation:

[tex] \: \: \: \: \: \: [/tex]

[tex]a.) \: \: \: \: \frac{36}{5} [/tex]

[tex]d.) \: \: \: \: - \frac{ 15}{2} [/tex]

Answer:

A= 7 1/5

D=  -7 1/2

Step-by-step explanation:

Hope this helped!

This is in mixed form btw

inproper fraction:

A= 36/5

D: -15/2

Answer

320

Step-by-step explanation

150 + 10 = 160

160 * 2 because it said than half the amount he received last year = 320!

Answer:

Step-by-step explanation:

Conclusion:

Therefore, n = 1/9

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

Angle B = 88

Angle C = 44

Step-by-step explanation:

X+48+(X-44)=180

Subtract 48 from both sides

X+48-48+(x-44)=180-48

X+(x-44)=132

2x-44+44=132+44

2x= 176

X=88

Angle A=48

Angle B =88

Angle C=44

(88-44)

88+44+48=180

Answer:

∠A = 48°

∠B = 48°

∠C = 84°

Explanation:

For C, it is parallel to A, so it would be the same sized angle. For context, all angles of a triangle add up to 180°, so you do; ∠A + ∠C and get 96°

Then you do, 180° - 96° to get 84°

So ∠C would be 84°

Answer:

45/10 =4.5

4.5 x 7 = 31.5

Hight = 31.5

Answer:

B.

Step-by-step explanation:

Since they are equal do.

45 divided by 10

which equals 4.5.

So the image is being reflected by a 4.5 times bigger scale.

So then you do,

7 x 4.5

which is 31.5.

Answer:

Answer:

safe speed for the larger radius track u= √2 v

Explanation:

The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.

Also given that r_1= smaller radius

r_2= larger radius curve

r_2= 2r_1..............i

let u be the speed of larger radius curve

now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=

r

1

mv

2

=

r

2

mu

2

................ii

form i and ii we can write

v^2= \frac{1}{2} u^2v

2

=

2

1

u

2

⇒u= √2 v

therefore, safe speed for the larger radius track u= √2 v

2:1

Step-by-step explanation:

List all variables

Total people=120

year 11 students=120/2=60

year 10 students=60/3=20

subtract year 10 and 11 students from the total to get the number of year 9 students

year 9 students=120-60-20

=40

year9:year10

40:20

2:1

Value of variable 'n' as per the given condition number of 9 year students : number of 10 year students = n:1 is equals to 2.

" A variable is defined as the quantity which represents the change in value  as per the given condition in a mathematical problem."

According to the question,

Total number of students in school = 120

As per the conditions given we have,

Number of 11 year students = [tex]\frac{120}{2}[/tex]

                                               = 60 people

Number of 11year students = 3 × ( Number of 10 year students)

⇒Number of 10 year students = [tex]\frac{Number of 11 year students}{3}[/tex]

                                                   = [tex]\frac{60}{3}[/tex]

                                                   = 20 people

Number of (11year + 10year +  9year ) students  = 120  

⇒ 60 + 20 + Number of 9 year students =120                                        

⇒Number of 9 year students = 120 - 80

                                                 = 40 people

Substitute the value in the given condition  to get the value of the variable we get,

Number of 9 year students : Number of 10 year students = n:1

⇒40 : 20 = n: 1

⇒n = 2

Hence, value of variable 'n' as per the given condition number of 9 year students : number of 10 year students = n:1 is equals to 2.

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Answer:

Both graphs have a y-intercept of (0,1) and y=6^x is steeper

Step-by-step explanation:

Plug in 0 for x to find the y-intercept. THey would both be raised to the 0th power meaning both y's equal 1. So, they both have the y-intercept of (0,1).

y=6^x is steeper becuase when you graph it, you can see it is. Also of course 6 is higher than 3.

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Answer:

Its not linear

Step-by-step explanation: Linear means it travels in a perfect line

Answer:

27 I do believe so sorry if im wrong

Step-by-step explanation: