Find the value of X.
4X=16

Answer: Point B

Step-by-step explanation:

The equation in slope intercept form is [tex]\frac{x}{7} +\frac{15}{7}[/tex].

Given that the line passes through two points (-1,2) and (6,3)

Slope of the line passing through (x1,y1) and (x2,y2) is

[tex]\frac{y2-y1_ }{x_{2-x_{1} } }[/tex]

Hence slope of our line =

(3-2)/(6+1) = 1/7

So in slope intercept form the equation would be

y = 1/7 x +C

to find C

Since (-1,2) lies on the line substitute these in the line equation

2 = 1/7(-1)+c

C = 2+1/7 = 15/7

Hence equation in slope intercept form is [tex]\frac{x}{7} +\frac{15}{7}[/tex].

The slope-intercept form of a  line is one of the most common forms used to represent the equation of a line. The slope-intercept formula can be used to find the equation of a line  given the slope of the  line and the y-intercept (the y-coordinate of the point where the line intersects the y-axis). The equation of a line is an equation that is satisfied by each point  on that line.

There are several methods to find this equation of a  line given as

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Answer:

6

Step-by-step explanation:

first you have to find the side length. Since it is a square all 4 sides are equal and since the total length of the sides is 24, then the length of one side is 24/4= 6.

Answer:

you didnt open the opshens so i cant help you

Answer: she makes 2 dollars per poster

Step-by-step explanation: Hi :) this is simple math and im glad to help

If you take 10 and divide it by 5 you get 2: giving you the answer. :)

Answer:

joe

Step-by-step explanation:

Answer:

100 feet per minute

Step-by-step explanation:

total earnings = base salary + 910×1.75 =

= 48000 + 1,592.50 = $49,592.50

Answer:

The answer is 10cm

Step-by-step explanation:

the ratio RQ:PQ=1:2

let the ratios be multiplied by x

1x:2x

but 2x=20

then x=10.

so the length is 10cm

The probability of putting less than 31 ounces in a cup is 0.9773.

The standard score is the number of standard deviations that a raw score deviates from or exceeds the mean of the thing being measured or observed. Standard scores are positive for raw scores above the mean and negative for raw scores below the mean.

A soft drink machine's output is normally distributed.

The mean is μ = 27 ounces per cup.

The standard deviation, σ = 2 ounces.

The z score when x is a random variable that represents the output of the machine will be given as:

Z = ( X - μ)/σ

Z = ( 31 - 27)/2

Z = 4/2

Z = 2

Then the probability of putting less than 31 ounces in a cup using the p-value from the Z table will be:

P( X < 31 ) = 0.97725

P( X < 31 ) ≈ 0.9773

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The height of the flagpole will be 9.25 m to the nearest hundredth of a meter.

It is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.

Given that, after moving a mirror with an X in the middle to a level position on the ground 8.85 metres away from the flagpole.

The top of the flagpole is then plainly indicated in the X as she moves 1.1 metres to the opposite side of the mirror. Her companion calculates that there are 1.15 metres between her eyes and the ground.

From the similarity of two triangle,

1.15 / h = 1.1 / 8.85

1.1 h = 1.15 × 8.85

1.1 h = 10.1775

h = 9.25 m

Thus, the height of the flagpole will be 9.25 m to the nearest hundredth of a meter.

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A quotient of a number and -1.5 is 21 hence it is 21 = - 1.5D and D = - 14.

An expression is a mathematical way of writing variables and constants separated by the operation of addition and subtraction. Unlike equations in expressions, we do not equate the terms to zero.

We know N = DQ + R.

Where N = The number itself, D = Divisor, Q = Quotient and,

R = Remainder.

Given, A quotient of a number and -1.5 is 21.

Let the number be D.

∴ 21 = - 1.5D

D = - 21/1.5.

D = - 14.

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The value of the first term is -8.

Here it is given that the series is in an arithmetic sequence.

The formula for the sum of a series in an arithmetic sequence.

[tex]S_{n}[/tex] = n/2( 2a + (n-1)d)

n = number of term

d = common difference

a = first term of a sequence

[tex]S_{n}[/tex]= sum of n number of terms

It is given that sum of 26 number of a term is 1417, and the sum of first 8 number of a term is 76.

So from that, we have two equations by putting the term in the equation

1417 = 26/2( 2a + (26-1)d)

1417 = 13(2a + 25d)

109 = 2a + 25d .........(1)

76 = 8/2( 2a + (8-1)d)

19 = 2a + 7d ..........(2)

Now subtract equations (1) and (2) we get

90 = 18d

d = 5

Now put the value of d in equation (2), we get

19 = 2a + 7× 5

19 - 35 = 2a

2a = -16

a = -8

Therefore the first term of the sequence is -8.

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Answer:

1. n ≥ -3

2. n < 2

Step-by-step explanation:

Answer:

You can bake 96 cookies in 32 minutes.

Step-by-step explanation:

Since we are given "if you can bake 15 cookies in 5 minutes" you dived 15 by 5 to find the unit rate. 15÷5=3

Since 3 is the unit rate we multiply it by 32, to get 96.

3×32=96

In other words, the unit rate is how many cookies you can make in a minute.

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Answer:

What the first guy said.

Step-by-step explanation:

The best description of the standard deviation is "Approximately the mean distance between the individual salaries of employees and the mean of all employees' salaries."

Standard deviation, denoted by σ, is defined as the measure which indicates the average distance of the observations from the mean of the data set. It tells how spread out numbers are. It is equal to the square root of the variance. Variance is the average of the squared differences from the mean.

For the given problem, the standard deviation can be describe as the average(mean) distance of the individual salaries of employees from the mean of all employees' salaries.

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Answer:

john is 19

and sally is 23

Step-by-step explanation:

correct me if wrong but that's my own answer

The expression in the form of equation can be simplified as: 7w - 12y + 18

What is equation?

In mathematics, the statement based problems can be solved by forming the equations. And the equations consist of dependent variable as well as independent variables. It is calculated by equating the terms to zero.

According to the question, the given expression in the form of equation is as follows:

Required expression: 8w - 12 y + 15 divided by 3 + w - 6

The given expression can be re-written as:

Required expression: (8w - 12y + 15)/(3 + w - 6) = 7w -12y +18

Hence, the expression in the form of equation can be simplified as:

7w - 12y + 18

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Considering an arithmetic sequence, it is found that:

8. Two consecutive terms in the sequence of eruption times are: 94, 106.

9. The common difference of the sequence of eruption times is of 12.

10. The general rule of the sequence of eruption times is: [tex]a_n = 46 + 12(n - 1)[/tex]

An arithmetic sequence has the difference between consecutive terms assuming always the same value, being called common difference d.

The nth term of an arithmetic sequence is given by the following general rule:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

In the context of this problem, the sequence is given as follows:

46, 58, 70, 82, ...

Hence the common difference is given by:

d = 82 - 70 = 70 - 58 = 58 - 46 = 12.

The next two terms of the sequence are:

Considering that the first term is of 46, the general rule for the sequence is given by:

[tex]a_n = 46 + 12(n - 1)[/tex]

The sequence of eruption times is given by:

46, 58, 70, 82, ...

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Answer:

3hours 30mins

Step-by-step explanation:

Just count

1hr =60mins

10:45+15 mins = 11

Then count to 12 then again 1,2

Thats 3hrs

Plus 15 from 2:15

Then plus fifteen from before

U get 3 hours 30 minutes

Answer: 8x^5

Step-by-step explanation: you can also go to math-way to get answers

The statement which shows whether this graph shows a proportional relationship is: B. Yes, it is proportional because it is a line that intersects with the origin.

A graph can be defined as a type of chart that's commonly used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

In Mathematics, the graph of any proportional relationship is typically characterized by a straight line with the points passing through the origin (0, 0) because as the values on the x-coordinate decreases or increases, the values on the y-coordinate decreases or increases simultaneously.

In this context, we can reasonably infer and logically deduce that this graph shows a proportional relationship.

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Answer:

x+2y=8

Step-by-step explanation:

Answer:

A=20.8cm

A = 1/2 * base * height

A= 1/2 * 8 * 5.2

Answer:7+5y

Step-by-step explanation:

3+4=7

4y+y=5y

Answer:

2.5 trundle beds assembled per shift

Step-by-step explanation:

5/6 to 1/3 (How many trundle beds Rocco assembles in 1/3 of a shift)

5/2 to 1 (multiply by 3 to both numbers)

2.5 to 1 (convert 5/2 into a decimal)