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

Final answer:

By adding the distance from A to M to A's coordinate, we find that M's coordinate is 1.

Explanation:

The question asks to find the coordinate of point M on a number line where point A has a coordinate of −1.5, point B has a coordinate of 6, and the ratio of the distances AM to MB is 1:2. To solve this, we first identify that AM and MB are segments on the number line with point M somewhere between A and B. Since AM:MB = 1:2, we know that for every unit distance from A to M, there are 2 unit distances from M to B.

The total distance between A and B is 6 - (−1.5) = 7.5 units. Dividing this distance in the ratio 1:2, implies that AM takes up one-third of the total distance and MB takes up two-thirds of the total distance. Therefore, AM = ¼ * 7.5 = 2.5 units. Adding this distance to the coordinate of A gives us the coordinate for M: −1.5 + 2.5 = 1. So, the coordinate of point M is 1.


Related Questions

The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet. When the water was 4 feet from the end of the hose, what was its height above the ground?

Answers

PLEASE Give answer choices

Answer:

its a and c

Step-by-step explanation:

Help me I don’t get this problem...

Answers

All that you have to do is plug in the given values for each of the variables. So, we know that:
A = 3
B = 8
C = 2
D = 5
So, plug in the values. 
[tex]a ^{2} + 3b [/tex]÷[tex]C - 2d[/tex]
3^2 = 9
3*8 = 24
2 * 5 = 10
24/2 = 12
9 + 12 - 10 = 21 - 10 = 11.
So, the value of the expression is 11.

What is an equation of the line that is perpendicular to y + 1 = - 3 (x - 5) and passes through the point (4, -6)?

Answers

y + 6 = 1/3 (x - 4)

Replace the second y (y1) and the 2nd x (x1) with the new points and then -3 become 1/3 due to perpendicular meaning opposite reciprocal (2/3 reciprocal is 3/2 and the opposite would be its negative, -3/2, for example)

So there's your answer plus some info for future knowlege
Final answer:

The equation of the line that is perpendicular to y + 1 = -3 (x - 5) and passes through the point (4, -6) is y = 1/3x - 22/3.

Explanation:

The subject of this question is Mathematics, specifically the topic of linear equations.

The line given in the question is y + 1 = -3 (x - 5). To find the equation of a line that is perpendicular to this given line and passes through the point (4, -6), we need to understand the concept of slope.

The equation of the given line can be rewritten as y = -3x + 15 -1, or y = -3x + 14. The slope of a line perpendicular to this line would be the negative reciprocal of -3, which is 1/3. Then, by using the point-slope form of a line, (y - y1) = m (x - x1), where m is the slope and (x1, y1) is the point through which the line passes (in this case, (4, -6)), we get: y - (-6) = 1/3 (x - 4) or y + 6 = 1/3x - 4/3.

Simplifying, the equation of the perpendicular line is y = 1/3x - 4/3 - 6 or y = 1/3x - 22/3.

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Algebraic Expressions Question

A company charges $59.99 for cable TV installation and $49.99 per month for basic cable service.

Part A
Write an algebraic expression to represent the total cost of m months of basic cable service, including installation.





Algebraic Expression: ________________


Part B
How much will it cost for installation and one year of basic cable service?

Explain:





















Total Cost: ______________


This problem is continued on the next page.



Part C
After the first 12 months, the charge will be increased to $69.95 per month. What is the total cost of installation and basic cable service for the first two years?

Explain:








Answers

Part A.

We can create a linear equation from this problem. Let us say that C is total cost and m is number of months, therefore:

C = 59.99 + 49.99 m

 

 

Part B. For m = 12 months, the total cost is:

C = 59.99 + 49.99 * 12

C = $659.87

 

 

Part C. We have already calculated in part B the total cost for the 1st year:

C1 = $659.87

 

For the 2nd year, the equation becomes:

C = 59.99 + 69.95 m

C = 59.99 + 69.95 * 12

C2 = $899.39

 

Therefore the total cost C1 + C2 is:

$1,559.26

Final answer:

The total cost of m months of basic cable service, including installation, can be represented by the algebraic expression 59.99 + 49.99m. For installation and one year of basic cable service, the cost is 659.87. For the first two years, including installation and basic cable service, the cost is 1549.23.

Explanation:

Part A:

To represent the total cost of m months of basic cable service, including installation, we can use the algebraic expression:

59.99 + 49.99m

Part B:

To calculate the total cost for installation and one year of basic cable service, we substitute 12 for m in the expression:

59.99 + 49.99(12) = 59.99 + 599.88 = 659.87

Part C:

For the first two years, the cost includes the installation and basic cable service for the first 12 months at $49.99 per month, and the following 12 months at $69.95 per month. So we write the expression as:

59.99 + 49.99(12) + 69.95(12) = 709.83 + 839.4 = 1549.23

Which graph represents the function f(x) = −|x − 2| − 1?

Answers

I think it might be the 3 one and if that's not right then it would be the first one. 

The correct answer is C.

Thanks and have a good day :)

a contractor purchases motors listed at $6800 and receives successive discounts of 20% and 10%. what is the net cost

Answers

i think that $2,040. because you multiply 6800*0.30=2,040.

Which statement is true about the result of a rigid transformation? (4 points)

The image will be larger than the pre-image.

The pre-image will be larger than the image.

Each one is unique; no general statement can be made about size.

The pre-image will be congruent to the image

Answers

In a rigid transformation, the pre-image and the image are congruent

Answer:

The pre-image will be congruent to the image : True

Step-by-step explanation:

The transformation falls broadly into two types.

Rigid Transformation and Non Rigid Transformation .

Rigid Transformation: The new image has the same size and the shape as that of pre image. Thus both the images are congruent to each other.

Non Rigid Transformation :  The new image is has the same shape. however the size of the new image changes. hence they are similar to each other but not congruent.

Hence our third option is correct.

There are 7.2 milligrams of iron in a dozen eggs.Because there are 12eggs in a dozen,how many milligrams of iron are in 1egg?

Answers

You just have to divide 7.2 by 12 which gives you .6 milligrams of iron per egg. 

I am multiple of 70. I am between 300 and 500. I am 20 more than a multiple of 100. who am i?

Answers

It's 420

This is because 70x4=420. It's within 300 and 500, and its 20 greater than 400 a multiple of 100. 
The answer is 420. It is a multiple of 70, it is between 300 and 500, and it is 20 more then 400 which is a multiple of 100.

Which unit rates would be appropriate for describing the amount of rainfall over time? Choose two answers.

centimeters per day

meters per second

milliliters per minute

inches per hour

Answers

inches per hour and centimeters per day I believe 

I need an answer what is 1.03 ÷ (-10.3)=?

Answers

The answer is [tex]- \frac{1}{10} [/tex]
To figure this out,  convert both numbers to fractions. 1.03 = 1[tex]\frac{3}{100} [/tex] and (-10.3) = -10[tex] \frac{3}{10} [/tex]. Now, convert to improper fractions. 
 1[tex] \frac{3}{100}  = [tex] \frac{103}{100} [/tex]
-10[tex] \frac{3}{10} [/tex] = [tex]- \frac{103}{10} [/tex]
Now, divide. Dividing fractions is the same as multiplying by the reciporical. So:
[tex] -\frac{103}{10} \ becomes\ \frac{10}{103} [/tex]
[tex] \frac{103}{100} *- \frac{10}{103} = -\frac{1030}{10300} = - \frac{1}{10} [/tex]
Final answer:

The answer to 1.03 ÷ (-10.3) is -0.1.

Explanation:

To divide 1.03 by -10.3, you can use the division algorithm. Divide the absolute values of the two numbers and obtain the quotient. Since the signs of the two numbers are different, the quotient will be negative. Therefore, 1.03 ÷ -10.3 = -0.1.

Learn more about division here:

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Which shows three equivalent rational numbers?

A. 13/-14= -13/14=-13/14

B. -3/5 = 3/5=-3/5

C. -1/17=1/-17=1/17

D. -5/37 = 5/37=-5/37

Don’t answer if you aren’t sure.

Answers

The correct answer is A.
When any part of the fraction is negative, the whole thing is negative.
This is because a positive divided by a negative is a negative and vise versa.
the answer is: A



i hope this helps and have a wonderful day!!

A box of 8 snack bars costs $24.72. A single snack bar costs $3.47. What is the savings on each snack bar if you buy a box of 8 snack bar?

Answers

You would save $3.04
you will save exactly 3.04 cents. 
3.47 x 8 = 27.76
27.76 - 24.72 = 3.04
answer= 3.04
have a GREAT day! good luck with school!





Most cars get their best gas mileage when traveling at a relatively slow speed. The gas mileage M for a certain new car is modeled by the function

M(s)= -1/28s^2+3s-31

where s is the speed in mi/h and M is measured in mi/gal.

Answers

In this item, it is assumed that we are to determine the speed at which the car will have the best gas mileage. This can be done by deriving the equation and equating it to zero.

       M(s) = -1/28s² + 3s - 31

Deriving,
    dM(s) = (-1/28)(2s) + 3 = 0

                     s = 42

Hence, the speed at which the best mileage is achieved is mi/h. 

Final answer:

The quadratic function represents the gas mileage of a car in relation to its speed. By calculating the vertex of the parabola, it is determined that the best gas mileage for the given new car model occurs at a speed of 42 mi/h, which can lead to more efficient driving.

Explanation:

Understanding Gas Mileage and Speed

The question revolves around the mathematics found in the relation between speed and gas mileage for cars. Specifically, a quadratic function M(s) = -1/28s²+3s-31 represents the gas mileage M, in miles per gallon (mi/gal), at a given speed s in miles per hour (mi/h) for a new car model. To analyze this model, one may want to find the speed that provides the best gas mileage, which typically requires finding the vertex of the parabolic graph that this equation represents.

To find the speed that gives the maximum gas mileage, we would complete the square or use the vertex formula for a parabola given by s = -b/(2a), where a and b are the coefficients of the quadratic term and the linear term, respectively. For our function, a = -1/28 and b = 3. Plugging these into our formula gives a speed of s = -3 / (2 * -1/28) = 42 mi/h. This suggests that the best gas mileage for this car model occurs at a speed of 42 miles per hour.

It is essential to understand the relationship between speed and gas efficiency because it can help reduce fuel consumption and costs, as well as lessen environmental impact. By finding the optimal speed for gas mileage, drivers can make informed decisions about their driving habits for financial and ecological benefits.


Line R T and line S U slightly inclined with horizontal intersects at V. The upward and downward angles of the intersecting lines are obtuse. The left and right angles of the intersecting lines are acute. The measure of angle R V U is labeled as left parenthesis 8 y minus 33 right parenthesis degrees. The measure of angle S V T is labeled as left parenthesis 5 y plus 9 right parenthesis degrees.

Answers

Given the description, it sounds like angle RVU and angle SVT are vertical angles. With this known, the angles are equivalent and the two equations can be set equal to each other. 

5y+9=8y-33       vertical angles are congruent
-5y     -5y
9 =  3y -33         Use inverse operations to move all variables to one side of                           the equation
+33      +33      Add 33 to both sides of the equation to isolate the variable
42=3y         
/3    /3               Divide both sides by 3 in order to isolate the variable
14 = y             Once simplified, the variable y is equal to 14


In order to find the measure of the angle, the value of the variable needs to be substituted back into one of the equations.
5y+9
5(14) +9
70 + 9
79
The measure of angle RVU and angle SVT is 79 degrees

Answer:

14=y

or y=14

Step-by-step explanation:

A box of nutmeg weighs 99.66 grams. If there are 22 teaspoons of nutmeg in the box, how much does one teaspoon of nutmeg weigh? (Round your answer to the nearest thousandth.)

Answers

4.53 grams is the answer I got but I'm not sure?

There was 2/3 of a pizza for 6 friends to share equally. What fraction of the pizza did each person get

Answers

First of all, if you only have 2/3 of a pizza to share with 6 friends, pick up the phone and get another pizza.

However, if you can't do that (maybe all your phones have been abducted by aliens), then use easy division of fractions to solve.

2/3 divided by 6 is equal to 2/3 times 1/6.

When you divide a fraction, you have to flip the thing your dividing by and multiply it to the original number. I know, confusing stuff, right?

2/3*1/6
=2/18
=1/9

Each person gets 1/9 of the pizza.

Hope this helps (and that the aliens give you your phones back)!

Each person get 1/9 of a pizza.

What is Fraction?

A fraction is defined as a part of a whole.

Given that;

There was 2/3 of a pizza for 6 friends to share equally.

Now,

Total amount of pizza = 2/3

Number of friends = 6

So, For finding the amount of pizza get by each person we formulate.

= 2/3 × 1/6

= 2/18

= 1/9

Thus, Each person get 1/9 of a pizza.

Learn more about the fraction visit:

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Nicole has $9 to spend on cards.She finds friends with the same amount of money to split the cost of a set. One set cost $27. Each friend gets the same number of cards. How many cards does each friend get?

Answers

Let x be the number of cards in the $27 set, then Nicole has 2 friends that have $9 each. This makes 3 people, therefore each person gets x/3 cards. So each friend would get 1/3 of the cards.

Answer:  Number of cards each friend gets is given by

[tex]\frac{x}{3}[/tex]

Step-by-step explanation:

Let the number of cards be x.

Since we have given that

Amount Nicole used to spend on cards = $9

Total cost of one set =$27

Since she finds friends with the same amount of money to split the cost of a set.

So, Number of friends she finds is given by

[tex]\frac{27}{9}=3\\\\\text{ Nicole finds 2 friends who has same amount to split the cost}[/tex]

Now, Number of cards each friend gets is given by

[tex]\frac{x}{3}[/tex]


How many pounds are in 9 kilograms?

Answers

19.8416 pounds in 9 kilograms
There are about 19.8 pounds in 9 kilograms.

Simplify and express the answer as a decimal.

3(2.7+5)−23(2.7+5)−2
Enter your answer in the box.

Answers

Final answer:

The simplified expression is -202.2, which can be expressed as a decimal as -202.2.

Explanation:

To simplify the expression, we need to perform the operations in order of operations (PEMDAS/BODMAS). First, we simplify the expressions inside the parentheses:

2.7 + 5 = 7.7

Next, we can rewrite the expression:

3(7.7) - 23(7.7) - 2

Now, we can multiply each term:

3 * 7.7 = 23.1

23 * 7.7 = 177.1

-23.1 - 177.1 - 2

Finally, we can combine like terms:

-202.2

The simplified expression is -202.2, which can be expressed as a decimal as -202.2.

Final answer:

To simplify the expression 3(2.7+5)−23(2.7+5)−2, we first evaluate the addition inside the parentheses and then perform the multiplication and subtraction step by step to get the final simplified answer as -156.

Explanation:

To simplify the expression 3(2.7+5)−23(2.7+5)−2, we first evaluate the addition inside the parentheses: 2.7+5 = 7.7.

Substituting this value back into the expression, we get 3(7.7) - 23(7.7) - 2.

Next, we perform the multiplication: 3(7.7) = 23.1 and 23(7.7) = 177.1.

Substituting these values back into the expression, we have 23.1 - 177.1 - 2.

Finally, we perform the subtraction: 23.1 - 177.1 = -154 and -154 - 2 = -156.

Therefore, the simplified answer as a decimal is -156.

Lucie drank 3/4 of a pint of bottled water. One serving of the water is 7/8 of a pint. How much of a serving did she drink.

Answers

7/8
3/4
I'm order for them to have the same denominator you need to multiply so:
¾×2=6/8
So she drank 6/8 pints of water
First, let's make it so that they share a common denominator.

3/4 x 2/2 = 6/8

So Lucie drank 6/8 of a pint, or 75% of it. 7/8 - 6/8 = 1/8. So there is 1/8 of water left, or 12.5%.

given h(x) = -x + 1, find h(0)

Answers

h(0) simply refers to the value of the function h(x) when x = 0. All we have to do to find that value is substitute the x's in the expression for 0's. Here, we have:

h(x) = -x + 1
h(0) = -(0) + 1 = 1

So, h(0) in this case would be 1.
h(0)=0+1
answer is 1

Can someone help me with these questions

Answers

1. C

3/8 = 0.375


Hope this helped.

choose the graph below that correctly represents the equation 2x + 4y = 24.

A.

B.

C.

D.

Answers

My answer is A (the first graph picture). Here is my explanation.

1. 2x = 24 - 4y (Move the variable to the right side and change the sign)
2. X = 12 - 2y (Divide both sides of the equation by 2)
3. Y = 6 and X = 12 (I used my graphing calculator and is what I got)

Hope this helps, if not, then I apologize! :)

Answer:

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Step-by-step explanation:

On the field trip, Toni collected 4 times as many bugs as Kaylie. Kaylie collected 14 bugs. How many bugs did Toni collect? Draw a bar diagram. Write and solve an equation to represent the problem

Answers

14 x 4= 56
If Toni collected 4 TIMES as many as Kaylie and Kaylie collected 14 bugs, you MULTIPLY. A bar diagram goes horizontally across your diagram. So Draw a bar diagram. If you don't know what a bar diagram is, Google it! That's all I can help ya with.

Justify each step in solving the equation 6x = 3(x+4) by writing a reason for each statement.

Answers

1) 6x = 3x + 3.4
6x = 3x +12 minus 3x
6x- 3x = 3x +12 - 3x
3x = 12 division with 3
3x/3 = 12/3
x=4


What are the answers for the questions and can you check if I got the other one right please and thank you

Answers

1. -13
2. 3.5
3. -11
4. -4
5. -36
6. 7.7
7. 1
8. 79
9. 79
10. 15.75

PLEASE HURRY

Which set of angles can form a triangle?
A. 1 acute and 2 right
B. 2 acute and 1 right
C. 1 acute and 2 obtuse
D. 1 acute, 1 right, and 1 obtuse

Answers

B can make a triangle

Create an original rational function that has at least one asymptote (vertical, horizontal, and/or slant) and possibly a removable discontinuity. List these features of your function: asymptote(s) (vertical, horizontal, slant), removable discontinuity(ies), x-intercept(s), y-intercept, and end behavior.

Answers

Since f has a vertical is at x = 2, then the denominator of the rational function contains the term (x - 2). Function f has the form. f(x) = g(x) / (x - 2) g(x) which is in the numerator must be of the same degree as the denominator since f has a horizontal asymptote. Also g(x) must contain the term (x + 5) since f has a zero at x = - 5. Hence f(x) = 3 (x + 5) / (x - 2)

What is the expanded form of 53.327 using fractions

Answers

50+3+3 x 1/10+ 2 x 1/100 +7 x 1/1000
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