If 55% of a number is 143 and 45% of the same number is 117, find 100% of that number.

Answer:

[tex]Progression: 11, 18, 25[/tex]

[tex]Rule: Add\ 7[/tex]

Step-by-step explanation:

Given

[tex]List: 8, 11, 13, 18, 25, 37[/tex]

Sample

[tex]Progression: 8, 13, 18;[/tex]

[tex]Rule: Add\ 5[/tex]

Required

Generate a progression with three numbers and state the rule

We will use the method of trial and error to get the solution

Start with digit 11

Add 7:

[tex]11 + 7 = 18[/tex]

Add 7:

[tex]11 + 7 + 7 = 18 + 7 = 25[/tex]

Hence, the progression is: 11, 18 and 25

Rule: Add 7

Answer:

The point-slope form of the equation of a line is ...

 y -h = m(x -k)

for a line with slope m through point (h, k).

Comparing this to the given equation, you see that ...

 h = -2, m = 1, k = -4

The line has a slope of 1 and goes through the point (-4, -2). This information is useful for graphing.

__

You can also rearrange the equation to slope-intercept form by subtracting 2 from both sides.

 y = x +2

This has a slope of 1 and crosses the y-axis at y=2. It graphs the same as the above.

The graph of 4x + 2y < 3 is the region below the line 4x + 2y = 3.

The graph is given below.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

The graph of 4x + 2y < 3 is the region in the coordinate plane that satisfies the inequality.

To graph this inequality, we can start by graphing the line 4x + 2y = 3.

This line has a slope of -2 (because it can be written in the form

y = (-2x/1) + (3/2)), and a y-intercept of (0, 3/2).

We can plot this point on the y-axis and use the slope to find other points on the line.

For example, if we move one unit to the right from the y-intercept, we will move down two units (since the slope is -2), giving us the point (1, 1/2). Similarly, if we move one unit to the left from the y-intercept, we will move up two units, giving us the point (-1, 5/2).

We can connect these points to graph the line.

Therefore,

The graph of 4x + 2y < 3 is the region below the line 4x + 2y = 3.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ7

Answer:

Step-by-step explanation: I dont know actually

Answer:24,173.856

Step-by-step explanation: you calculate the average of the last 3 years then find 1.8% of that number and then multiple by 28 years to find his total pension

Answer:

★ The answer is 24,173.856

Step-by-step explanation:

Hope you have a great day

Answer:

13.5

Step-by-step explanation:

The two triangles are similar

According to the question

The equation is

⅔=11/x+3

2x+6=33

2x=27

x=13.5

Answer: 375

Step-by-step explanation:

2/3 of x= 250

250 x 3=750

750//=375

They need a minimum of 375 students in order to keep the venue,

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, So far two-thirds of the seniors bought prom tickets. if they need a minimum of 250 people to attend in order to keep the venue.

Assuming they need a minimum of x people.

∴ (2/3)x = 250.

2x = 750.

x = 375.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

Answer:

Length

√45 units

Distance

√13 units

Step-by-step explanation:

Here, we want to calculate the length and the distance between the points

To calculate the length, we need the coordinates of the points

These are;

(1,-2) and (4,4)

the length can be calculated using the formula for the distance between two points

Mathematically, that will be;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(1-4)^2 + (-4-2)^2

D = √(9 + 36)

D = √45 units

We use the same formula to get the distance between the two given points

that will be;

D = √(5-3)^2 + (-2-1)^2

D = √(2)^2 + (3)^2

D = √13 units

Answer:

0.20148

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 230

μ is the population mean = 184

σ is the population standard deviation = 55

z = 230 - 184/55

z = 0.83636

P-value from Z-Table:

P(x<230) = 0.79852

P(x>230) = 1 - P(x<230) = 0.20148

Therefore, the probability that the eye contact time is greater than 230 seconds is 0.20148

answer: 5b

the exponents basically cancel themselves out. :)

Answer:

j

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

C

There's clusters of data around the indicated points.

Answer:

4+14= 18 this is the answer

Step-by-step explanation:

2(7)=14+4=18

you multiply the 2 and 7 and then add the 4

Answer:

18

Step-by-step explanation:

what this wants you do do is use PEMDAS. the number in parentheses always means to multiply. first youre gonna multiply 2 by 7 which gives you fourteen. then add 4 to 14 which gives you 18.

hope this helped! <3

Answer: 5/8 miles

Step-by-step explanation:

1. Add the distance from home to school, and from school to post office (7/8+5/6 = 41/24)

2. Figure out how many miles the trip was in total, given that she can travel a mile in 18 minutes and the trip was 42 minutes, by dividing 42/18, which equals [tex]2\frac{1}{3}[/tex]. The trip was [tex]2\frac{1}{3}[/tex] miles long.

3. Now, given that she has already traveled 41/24 miles from her home to the post office, subtract 41/24 from [tex]2\frac{1}{3}[/tex]. This equals 5/8, meaning that she traveled 5/8 miles from Post office to her friend's home.

Answer:

It is 8,7

Hope this helps!

Step-by-step explanation:

Answer:

(4, 10)

Step-by-step explanation:

Hope this helps

The solution to the system of equations is the ordered pair in option B. (4, 10).

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Population growth of two towns over a period of five years is represented by the system of equations :

y = x + 6

y = 2x + 2

Here y represents the population growth and x represents the number of years.

Solution of the system of equations is the point where the graph of both equations intersect.

Intersecting point is (4, 10).

Algebraically, we can solve this as,

We have y =  x + 6 and y = 2x + 2.

x + 6 = 2x + 2

x - 2x = 2 - 6

x = 4

y = x + 6 = 4 + 6 = 10

So (x, y) = (4, 10)

Hence the solution to the system of equations  y =  x + 6 and y = 2x + 2 is the point (4, 10).

Learn more about Linear Equations here :

https://brainly.com/question/11897796

#SPJ5

Answer:

The values of a and b are:

Step-by-step explanation:

We know that the slope-intercept form of the line equation

y = ax+b

where

From the diagram of the line graph, we can fetch the two points

Determining the slope between (0, 2) and (-1, 0)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(-1,\:0\right)[/tex]

[tex]a=\frac{0-2}{-1-0}[/tex]

[tex]a=2[/tex]

Thus, the value of a = 2

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 2

Thus, the y-intercept b = 2

now substituting a = 2 and b = 2 in the slope-intercept form of the line equation

y = ax+b

y = 2x + 2         ∵ a = 2 , b = 2

Thus, the line of equation is:

y = 2x+2

now comparing with y = ax+b

Here:

a = 2

b = 2

Therefore, the values of a and b are:

Answer:

the slope will be 5/6 and the y- intercept is going to be (0,-5)

Step-by-step explanation:

use the slope-intercept form y=mx+b to find the slope (M) and the y-intercept (b)

Answer: 40

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

All triangles has the sum of the internal angle equal to 180

2x+10+3x+x+50=180

Combine like terms

6x+60=180

Subtract 60 on both sides

6x=120

Divide 6 on both sides

x=20

Hope it helped :))

Answer: cool

Step-by-step explanation:

Answer: 14 -11x

You first distribute 5 through the parenthesi to get 4 + 10 - 15x + 4x. Then calculate like terms to get 14 - 11x

Technically that would be 9p only because p stand for 1 so 8+1=9.

Answer:

[tex]y = \frac{3}{2} x + 13[/tex]

Step-by-step explanation:

1) Use point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to find the slope-intercept form (or y = mx + b form) of the equation. m represents the slope, and [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. So, substitute [tex]\frac{3}{2}[/tex] for m, -4 for [tex]x_1[/tex], and 7 for [tex]y_1[/tex]. Then, simplify and isolate y on the left side like so:

[tex]y-(7) = \frac{3}{2} (x - (-4)) \\y -7 = \frac{3}{2} (x + 4) \\y - 7 = \frac{3}{2} x + 6\\y = \frac{3}{2} x + 13[/tex]

Answer: B.

Step-by-step explanation:

Answer:

30

Step-by-step explanation: