Points A(−1.5) and B(6) are marked on a number line. Find the coordinate of point M if it is known that AM:MB=1:2. Find all possible answers.

Answers

Answer 1

Answer:

M(1)

Step-by-step explanation:

(Please see the attached picture to better visualize the number line)

What we know:

- Point A is at -1.5 on the number line

- Point B is at 6 on the number line

- AM:MB=1:2

From the ratio, we automatically know that point M is in between point A and point B on the number line. In other words, point M is greater than -1.5 but less than 6. (-1.5<m<6). We also learn from the ratio that if the distance between point A and point B is divided into thirds, AM would take up one of those thirds and MB would take up two of those thirds.

1. Find the distance between point A(-1.5) and point B(6)

6-(-1.5)

= 6+1.5

= 7.5

2. Divide this distance into thirds

7.5/3

= 2.5

Now, we know that one third of the distance between AM and BM is 2.5.

3. Add 2.5 to point A(-1.5) to find point M (please refer to the picture attached)

-1.5+2.5

= 1

I hope this helps! Please comment if you have any questions.

Points A(1.5) And B(6) Are Marked On A Number Line. Find The Coordinate Of Point M If It Is Known That

Related Questions

Logarithms:


A law was established, in which it considers that a driver who has more than 0.8 grams of alcohol per liter of blood, is in a state of drunkenness. It is estimated that the risk that a person has of suffering an accident when driving a vehicle under the influence of alcohol is given by the expression [tex]R(x) = 6 * e^{kx}[/tex] , where R(x) is the risk expressed as probability, X is the concentration of alcohol in the blood and K a constant:


A) Calculate the value of the constant K knowing that the concentration of 0.04 g / L of alcohol in the blood (x = 0.04) corresponds to an accident risk of 10% (R = 10)


B) A person who, according to the Law, drives while intoxicated, that is to say 0.8 g / L in blood, what are the risks of suffering an accident?


C) If a driver is under the influence of alcohol, that is 0.3 g / L, what is the risk of having an accident?

(Develop each one step by step)

Answers

Answer:

A) k = 18.75B) R(0.8) = 161419C) R(0.3) = 275

Step-by-step explanation:

Given expression

R(x) = 6*e^(kx)

A) Given

x = 0.04R = 10

Solving for k

10 = 6*e^(0.04k)e^(0.04k) = 10/6ln (e^0.04k) = ln (1.6666)0.04k = 0.51k = 0.51/0.04k = 12.75

B) Given

x = 0.8R= ?

The value of R(0.8) is:

R(0.8) = 6*e^(0.8*12.75) =6*e^(10.2) = 161419  rounded

C) Given

x = 0.3R = ?

The value of R(0.3) is:

R(0.3) =6*e^(0.3*12.75) = 6*e^(3.825) =275 rounded

8 tenths + 34 hundredths

Answers

Answer:

1.14

Step-by-step explanation:

0.8+0.34

The solution of the given expression will be 1.14.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is 8 tenths + 34 hundredths. The solution of the expression is,

E =  8/10 + 34 / 100

Solve the expression by the mathematical operation.

E = 0.8 + 0.34

E = 1.14

Therefore, the solution of the given expression will be 1.14.

To know more about an expression follow

https://brainly.com/question/28699958

#SPJ2

calculate and interpret the residual for the high school senior with foot length of 20 cm and a height of 160 cm

Answers

Answer:

try quizlet it would help:)))

Answer:

Step-by-step explanation:

The vertical distance between a senior student with a height of 160 cm and his estimated height of 157.06 cm is 2.94 cm

What is the square root of 16?
A.4
B.6
C.8
D.10

Answers

Answer:

4

Step-by-step explanation:

because i know how to do it

Answer:

A. 4

Step-by-step explanation:

Square root means " a number which produces a specified quantity when multiplied by itself."

When you multiply 4 and 4, you get 16.

If LN = 6x - 5, LM = x + 7, and MN = 3x + 20, find MN.
A.68
B.16
C.23
D.18

Answers

Answer : The correct option is (A) 68.

Step-by-step explanation :

As we are given that:

LN = 6x - 5

LM = x + 7

MN = 3x + 20

Now we have to determine the value of MN.

According to the question:

LN = LM + MN

Now putting all the given values in this expression, we get:

6x - 5 = (x + 7) + (3x + 20)

6x - 5 = 4x + 27

6x - 4x = 27 + 5

2x = 32

x = 16

The value of MN = 3x + 20 = 3(16) + 20 = 48 + 20 = 68

Therefore, the value of MN is 68.

Suppose that you are interested in estimating the average impact a job training program has on wages. After controlling for observed factors that influence wages, participation in the training program, you find that the coefficient for the training is 0.55 and the standard error is 1.06. Thus, we can infer that the training program has a positive and statistically significant impact on wages at a 95% confidence level.
a) true
b) false

Answers

Answer:

False

Step-by-step explanation:

From the question we are told that

The coefficient for the training is [tex]r = 0.55[/tex]

The standard error is [tex]SE = 1.06[/tex]

The confidence level is 95%

Generally the level of significant is mathematically represented as

[tex]\alpha =( 100 -95)\%[/tex]

=> [tex]\alpha = 0.05 [/tex]

Generally the critical value of [tex]\alpha = 0.05 [/tex] obtained from the normal distribution table is [tex]Z_{0.05} = 1.645[/tex]

Generally the test statistics is mathematically represented as

[tex]t = \frac{r }{SE}[/tex]

=> [tex]t = \frac{0.55}{1.06}[/tex]

=> [tex]t = 0.5189 [/tex]

Generally given that the [tex]t < Z_{\alpha }[/tex]

Hence  there is no sufficient evidence to conclude that the program has a positive and statistically significant impact on wages at a 95% confidence level.

So the answer is False

Which interval notation represents the set of all numbers greater than 0 and less than or equal to 3?

Answers

Answer:

(0,3)

Step-by-step explanation [0,3] indicates that the numbers are greater or equals to 0 and less than or equals to 3; while (0,3) leaves out the equal sign

What do you know about distance? math

Answers

Answer: Mathematical distance is defined as the amount of space between two points. This distance can be calculated using the distance formula, which is just a derivation of the Pythagorean theorem, which is used to find the length of any one side of a right triangle when you know the other two sides

Step-by-step explanation:


A photographer reduces the size of a photo by 20%. If the length of each side is 12 cm,
what is the length of the side of the new photo?

Answers

Answer:

9.6 cm

Step-by-step explanation:

12 x .8 = 9.6cm

CAN SOMEONE HELP ME PLZ THIS WAS DUE LIKE 5 minutes ago!!

Answers

Answer:

-4[tex]x^{2}[/tex] - 6

Step-by-step explanation:

First you have to add the two polynomials.  Write the first equation then line up the second equation below the first making sure to keep the columns correct.  [tex]x^{2}[/tex] goes in one column, x goes in the next column and the whole numbers go in the last column.  Also be sure to have the correct signs of those columns.  It should look like this:

                      4[tex]x^{2}[/tex]   -   x   +   1

PLUS             -6[tex]x^{2}[/tex]   +   x   -   4

                      -----------------------

                      -2[tex]x^{2}[/tex]   +  0   -   3

Note that the middle x turns to 0 because you're subtracting 1x from 1x which is 0.

You can now write the SUM as   -2[tex]x^{2}[/tex] - 3

Now they want to know what twice this sum is so multiply it by 2

                          2 ( -2[tex]x^{2}[/tex] - 3)  =  -4[tex]x^{2}[/tex]  -  6

whats the slope for this question?

Answers

Answer:

Slope:  1

Step-by-step explanation:

A variable is always worth 1 if there is no number in front of it. In this case there is no number, so just draw in a one.

Answer:

A: Slope = Positive

Step-by-step explanation:

Step 1:

y = mx + b       Slope Intercept Form

Step 2:

y = x - 1     Equation/Given

Step 3:

Slope = 1

Answer:

A: Slope = Positive

Since there are no symbols or numbers in front of the x it means that the slope is x and the slope is positive.

Hope This Helps :)

$1.12 / 2 please show your work I will give brainliest

Answers

Answer: 0.56

Step-by-step explanation:

1.12 / 0.56

Half of 1 is .50 and half of .12 is .06

.50 + .06 = .56

Find abs equation of the line with the given slope that passes through the given point. Write the equation in the from Ax+By=C M=7, (3,3)

Answers

Answer:   The equation of the line in slope-intercept form will be

y = (7/4)x + b

Since the line passes through the point (8,-2), plug in the values of the point into the equation to find b.

-2 = (7/4)(8) + b

-2 = 14 + b

-16 = b

The equation of the line is

y = (7/4)x - 16

In standard form,

-(7/4)x + y = -16

Multiply both sides of equation by -4.

7x - 4y = -64

Step-by-step explanation:   hope this helps :)

1/2 × 4 2/5= Im stuck on this

Answers

easy the answer would be  2.2

Write a set of rules describing the transformation shown using words and/or symbols.

PLEASE HELP IT'S DUE TOMORROW!!

Answers

Answer: I am also learning the same thing but this is better than nothing.

f(x,y)→(x-3,-y-2)

Step-by-step explanation:

So basically the base form is f(x,y) that is why I added it there. Then the transformation reflects the shape over the x-axis which changes it from f(x,y)→(x,-y). If you take point A, for example, it is (0,1). When reflected, as the formula shows, it becomes (0,-1) and that is where the negative sign before the y comes from. Then we translate point A left 3 and down 2. That makes the point become (-3,-3) which is where A prime is. That also changes the formula to f(x,y)→(x-3,-y-2). This should work for the ENTIRE shape and ALL THE POINTS. -DooDOoHeaad

A. The parents of a baby wish to establish a college fund for their child. They deposit
$100 every month into an account for 18 years. The money earns 6 3/8% interest
compounded monthly. Find the future value of this account.

Answers

Answer:

FV= $38,735.32

Step-by-step explanation:

Giving the following information:

Monthly deposit= $100

Number of periods= 18*12= 216 months

The interest rate is confusing. I will assume an interest rate of 6%. If it is not correct, just change it in the formula.

Monthly interest rate= 0.06/12= 0.005

To calculate the future value, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {100*[(1.005^216) - 1]} / 0.005

FV= $38,735.32

1
f(x) =1/10x-4 g(x)=1/x+2

Answers

Answer:

what do you want to find??

The movie theater has 250 seats. 175 seats
were sold for the current showing. What
percent of seats are empty?
Step by step explain please because I need to show my work !

Answers

Answer:

30%

Step-by-step explanation:

250-175=75

75/250*100%= 0.3 or 30%

I need help with this and explain how to do it please!!
6x - 4z

Answers

Answer:

you should know you dont need help so do it by yourself. if you want the awnser you should know or you just dont pay attention in class.1234567890 is your awnser

If m What is the correct answer

Answers

Answer:

a

Step-by-step explanation:

AD=CD

hope this helped!

Two trees standing side by side in the sunlight one is 50 feet tall and the other is 20 feet tall if the taller tree casts a 18-foot shadow, what is the length in feet of the shadow of the shorter tree

Answers

Given:

Length of taller tree = 50 feet

Length of shorter tree = 20 feet

Length of shadow of taller tree = 18 feet

To find:

The length of shadow of shorter tree.

Solution:

Since, two trees standing side by side in the sunlight, therefore the length of trees are proportional to their shadows.

Let the length of shadow of shorter tree be x feet.

Using the given information, we get

[tex]\dfrac{50}{18}=\dfrac{20}{x}[/tex]

By cross multiplication, we get

[tex]50\times x=20\times 18[/tex]

[tex]50x=360[/tex]

[tex]x=\dfrac{360}{50}[/tex]

[tex]x=7.2[/tex]

Therefore, the length of shadow of shorter tree is 7.2 feet.

31. Find the value of each variable.





Answers

Answer:

z = 50

x = 26

Step-by-step explanation:

set 3z + 10 = 4z - 40 and solve: z = 50

create equation for 5x:

5x + 50 = 180, solve: x = 26

There are 567 calories in one hot dog. If the Carsey family ate 6,237
calories worth of hot dogs, how many hot dogs did they eat?

Answers

Answer:

11 hot dogs

Step-by-step explanation:

divide 6237 by 567

Answer:

11 hot dogs

Step-by-step explanation:

567/6237=11

guys whats 2 minus 1??????
im still very confused please help

Answers

Answer:1

Step-by-step explanation:

Because an example is if you have two apples and eat one, then you only have one left and that goes the same for numbers!

Answer:

2-1=1

Step-by-step explanation:

hold up 2 fingers.

now put down one.

you can use this stratege for addition, too. like 2+1=3

hold up 2 fingers.

hold up one more.

count the total and there's your answer

Please find angle q. Thank you!

Answers

the angle you are looking for is 9

What is the greatest common factor of 9 and 12?

Answers

Answer:

9=3⋅3 and 12=2⋅2⋅3 ,

Step-by-step explanation: in this case the only common factor is 3 and therefore the greatest.

Answer:

3 is the answer

Step-by-step explanation:

Solve by Elimination:
4x + 8y = 20
-4x + 2y = 10
(-1,3)
(3,4)
(3,-1)
(4,3)

Answers

Answer:

(-1,3)

Step-by-step explanation:

Elimination makes solving for the system of equations much easier if it is the faster route. In this case, it is already done for you, and no multiplication is required.

First, we want to eliminate the x values completely because they are opposites and therefore cancel out. Next, you want to add the y-values and sum (20 and 10) so that you get the new equation [tex]10y=30[/tex]. To isolate you need to divide by 10 on each side which will give you [tex]y=3[/tex].

Now that you have your y-value, you can plug in your value to either of the equations and find what x is. I will use the equation 4x + 8y = 20 to solve for x. We first want to substitute in our y-value so that we get [tex]4x+8(3)=20[/tex] which is simplified to [tex]4x+24=20[/tex] now subtract by 24 on both sides to get 4x by itself to get [tex]4x=-4[/tex]. Lastly, isolate x by dividing by 4 on each side to get [tex]x=-1[/tex]

f(x)=5(2-x) if f(-6)?

Answers

Answer:

f(-6) = 40

Step-by-step explanation:

Step 1: Define

f(x) = 5(2 - x)

f(-6) is x = -6

Step 2: Substitute and Evaluate

f(-6) = 5(2 - (-6))

f(-6) = 5(2 + 6)

f(-6) = 5(8)

f(-6) = 40

The answer is 49 Becuase if u replace -6 with x 2- -6 is 8 Becuase two negatives equal a positive with will be 8 and 5 times 8 is 40

Which of the following equations represents the total cost, C, for the number of sandwiches, S, where each sandwich costs $7?

1) S = 7C
2)C = 7S
3) S = 7/C
4) C= 7/S

Answers

Total cost is C

No of sandwiches is S

Each S costs $7

So equation is number 2 (C = 7S)

Hope this helps
I’m thinking a because your not dividing

In training for a swim meet, Logan swam 750 meters in \large \frac {1}{3}
3
1
​ of an hour. His swimming partner, Mila, swam \frac {2}{3}
3
2
​ of Logan's distance in \frac {1}{4}
4
1
​ of an hour. 2. What is Mila's average swimming speed? Show your work.

Answers

Answer:

500

Step-by-step explanation:

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