3.
On a coordinate plane, a line segment has P(6,2) and Q(3,8).
Point M lies on PQ and divides the segment so that the ratio
of PM:MQ is 3:2. What are the coordinates of point M?
A. (4.5, 5.0)
B. (5.6, 4.2)
C. (4.8, 4.4)
D. (4.2, 5.6)
Answer:
[tex]M(x,y) = (4.8,4.4)[/tex]
Step-by-step explanation:
Given
[tex]P(x_1,y_1) = (6,2)[/tex]
[tex]Q(x_2,y_2) = (3,8)[/tex]
[tex]m:n = PM:MQ = 3 : 2[/tex]
Required
Determine the coordinates of M
To solve this, we make use of the following partition formula:
[tex]M(x,y) = (\frac{nx_2+mx_1}{n+m},\frac{ny_2+my_1}{n+m})[/tex]
Substitute values for m, n, x's and y's
[tex]M(x,y) = (\frac{2*3+3*6}{2+3},\frac{2*8+3*2}{2+3})[/tex]
[tex]M(x,y) = (\frac{24}{5},\frac{22}{5})[/tex]
[tex]M(x,y) = (4.8,4.4)[/tex]
Option D is correct
HELP ITS URGENT!!! May someone PLEASEE help me?
Answer:
79
Step-by-step explanation:
angle c and angle a are congruent
angle d and angle b are congruent
Answer:
Angle a is 79 degrees
Step-by-step explanation:
I'm currently in alg 2 so i'm out of practice but there's some theorem that states that the opposite angles are equal to each other.
Determine the rate of change from the graph.
On a coordinate plane, a line with positive slope goes through points (0.5, 0) and (1, 4).
The rate of change shown in the graph is ...
PLZ HELP. NEED EXPLANATION PLZ!
solve each equation for given variable
- 12 = 6i- 6
3 pounds to 24 ounces write each ratio in simplest form
Answer:
2:1
Step-by-step explanation:
First we convert 3 pounds into ounces which is 3x16 because 1 pound=16 ounces. So 48 ounces=3 pounds. So know we have the ratio 48:24 which we can simplify to 2:1
Hope this helps :)
The required simplest ratio for 3 pounds to 24 ounces is 1 : 8.
Given that,
3 pounds to 24 ounces write each ratio in simplest form is to be determined.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
Here,
The ratio of 3 pounds to 24 ounces,
Simplest form = 3 / 24 = 1 / 8.
Thus, the required simplest ratio for 3 pounds to 24 ounces is 1 : 8.
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PLEASE HELP ASAP 20 POINTS
The newly proposed city park is rectangle shaped. Blake drew a scale drawing of the park and used a scale of 1 cm: 20 ft
1) If the width on the scale drawing of the city park is 25 centimeters, what is the actual width of the park?
A) 250 feet
B) 400 feet
C)500 feet
D)750 feet
2) If the width on the scale drawing of the city park is 25 centimeters and the length is 30 centimeters, what is the actual area of the park?
A) 75,000 ft^2
B) 110,000 ft^2
C) 300,000 ft^2
D) 750,000 ft^2
Answer:
a ,c ,b
esa son creo pero nose
The actual dimensions of the rectangular park are 500 cm by 600 cm and actual area of the park is 300,000 ft²
What is scale?A scale is a set of levels or numbers which are used in a particular system of measuring things or are used when comparing things.
Given that, Blake drew a scale drawing of a rectangle shaped park and used a scale of 1 cm: 20 ft
We need to find the actual width if the width on the scale drawing of the city park is 25 cm, and actual area if the width on the scale drawing of the city park is 25 cm and the length is 30 cm,
a) The given measurement of width in the drawing is 25 cm,
We have,
1 cm = 20 ft
∴ 25 cm = 20 × 25
= 500 ft
b) The given measurement of the width on the scale drawing of the city park is 25 cm and the length is 30 cm,
Actual width = 500 ft
Actual length = 20 × 30 = 600 ft
Area of rectangle = length × width
Actual area = 500 × 600
= 300,000
Hence, the actual dimensions of the rectangular park are 500 cm by 600 cm and actual area of the park is 300,000 ft²
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I need to know the answer ASAP
Haley and Lucas go to the candy store and each buy some candy. Haley buys c pieces of candy while Lucas bought 7c pieces. What information can we gather about the relationship between the number of pieces of candy Haley and Lucas bought?
A ratio shows us the number of times a number contains another number. Lucas buys 7 times the number of candies that Haley bought.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given Haley buys c pieces of candy while Lucas bought 7c pieces. Therefore, the number of candies bought by Haley and Lucas is in a ratio of 1:7.
It can also be concluded that the number of candies Lucas buy is 7 times of the number candies bought by Haley.
Hence, Lucas buys 7 times the number of candies that Haley bought.
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What is the answer please
Two chemical plants, one at Macon and one at Jonestown, produce two types of fertilizer, low phosphorus (LP) and high phosphorus (HP). At each plant, the fertilizer is produced in a single production run, so the two types are produced in fixed proportions. The Macon plant produces 1 ton of LP and 3 tons of HP in a single operation, and it charges $600 for what is produced in one operation, whereas one operation of the Jonestown plant produces 1 ton of LP and 1 ton of HP, and it charges $1,000 for what it produces in one operation. If a customer needs at least 100 tons of LP and 180 tons of HP, how many production runs from each plant should be ordered to minimize the cost.
9514 1404 393
Answer:
100 runs from Macon
Step-by-step explanation:
A graph of the requirements shows the feasible region is bounded by a polygon with vertices (Macon, Jonestown) = (0, 180), (40, 60), and (100, 0).
Checking costs of these solutions, we find the lowest cost to be obtained when ...
100 production runs should be ordered from Macon
Is 3.5 and 3.55 a equivalent decimal?
The coordinates of the vertices of triangle ABC are A(9.-10), B(-15, 0), and C(15, 10). A dilation centered at (0, 0) is perfomed on triangle ABC to produce triangle ABC. The coordinates of the vertices of triangle A'B'C' are A' (13.5, -15), B(-22.5, OJ, and C(22.5, 15). Find the scale factor. will mark brainlyst
Find the midpoint of the line segiment with the given endpoints. (-9,-7) and (-8,-5)
Answer:
what's your question I am not understanding
Which side lengths form a right triangle? Choose all answers that apply
Answer:
B.
Step-by-step explanation:
[tex] \sqrt{65} [/tex]
is about 8 and it passes the sum test
for a, the sum of 2,15 must be greater than 17 and its equal to so no
Solve the equation. Select all equivalent forms of the answer.
X-8= 5x + 3
[mark all correct answers]
a. -2.75
b. -0.36
c. -11
4
d. 1
e.
The Wall Street Journal reported that the median salary for middle-level manager jobs was approximately $85,000 (The Wall Street Journal, August 6, 2013). Suppose that an independent study of middle-level managers employed at companies located in Atlanta, Georgia, was conducted to compare the salaries of managers working at firms in Atlanta to the national average. The following data show the salary, in thousands of dollars, for a 8. sample of 15 middle-level managers.
108 83 106 73 53 85 80 63 67 75 124 55 93 118 77
a. Compute the median salary for the sample of 15 middle-level managers. How does the median for this group compare to the median reported by The Wall Street Journal?
b. Compute the mean annual salary and discuss how and why it differs from the median a. b. computed in part (a).
c. Compute the first and third quartiles.
Answer:
Median = $80,000 ; Mean = $84,000 ; Q1 = 67,000 ; Q3 = 106,000
Step-by-step explanation:
Given the data :
108 83 106 73 53 85 80 63 67 75 124 55 93 118 77
Reorderd data :
53, 55, 63, 67, 73, 75, 77, 80, 83, 85, 93, 106, 108, 118, 124
The median salary:
1/2(n+1)th term
Sample size, n = 15
1/2 (15 + 1)th term
1/2(16)th term
8th term = 80
Median is $80,000
Median reported by Wall Street Journal approximately $85000
The obtained and reported values are close
The mean annual salary :
ΣX / n = 1260 / 15 = 84
Mean annual salary = $84,000
Mean is the average of all earnings combined, median is the mid value of he data.
First and third quartile :
Q1 = 1/4(n+1)th term
Q1 = 1/4(16)th term
Q1 = 4th term = 67
Third quartile:.
Q3 = 3/4(n+1)th term
Q3 = 3/4(16)th term
Q3 = 12th term = 106
f(x)=x-7 and g(x)=2x-3
find f(g(4))
Answer:
f(g(4)) = -2
Step-by-step explanation:
First, find g(4) by plugging in 4 as x into the function:
g(x) = 2x - 3
g(4) = 2(4) - 3
g(4) = 8 - 3
g(4) = 5
f(g(4)) can be found by finding f(5), since g(4) = 5
Find f(5) by plugging in 5 into the function:
f(x)= x - 7
f(5) = 5 - 7
f(5) = -2
So, f(g(4)) = -2
Which of the following is the solution of the system of equations shown?
(2,-2)
(2,2)
(-2,2)
(-2,-2)
Answer:
(-2,-2)
Step-by-step explanation:
The graph doesn't have unit marks, but you can see that the x- and y-coordinates of the intersection are equal, and they are both negative.
(-2,-2)
A book has 244 pages. Theo has read 81 pages so far. About what percent
of the book has Theo read?
A. 82%
B. 66%
C. 50%
D. 33%
Answer:
33%
Step-by-step explanation:
81 pages ÷244 pages ×100=33%
Answer:
D. 33% (rounded)
Solve for z.
6z+ 3 - 4z = 9
Answer:
z = 3
Step-by-step explanation:
Can someone help plzzz!!!
Answer:
4
Step-by-step explanation:
4•4•4 = 64
Answer:
4
Step-by-step explanation:
cubic root of 64 is 4, since 4^3 = 64
Given this circle puzzle what would angle 1-12 be? (Geometry)
Assume that you are going to open a checking account. You are examining different banks and banking accounts to choose a bank account for your needs. Which of the following statements should not be one of your reasons for examining different banks?
a. Being more informed leads to being better prepared to make financial decisions.
b. Bank E offers you a chocolate bar for fillin; out an application for checking and credit at the same time.
d. You will become more aware of how well the banks meet your particular needs.
C. Banks could have charges that you do not know about until reading carefully.
Answer:
B
Step-by-step explanation:
You should not base your reasons on a chocolate bar.
Why are there so many songs about rainbows
And what's on the other side?
Rainbows are visions, but only illusions
And rainbows have nothing to hide
So we've been told, and some choose to believe it
I know they're wrong, wait and see
Someday we'll find it, the rainbow connection
The lovers, the dreamers, and me
Who said that every wish would be heard and answered
When wished on the morning star?
Somebody thought of that, and someone believed it
Look what it's done so far
What's so amazing that keeps us stargazing
And what do we think we might see?
Someday we'll find it, the rainbow connection
The lovers, the dreamers, and me
All of us under its spell
We know that it's probably magic
Have you been half asleep, and have you heard voices?
I've heard them calling my name
Is this the sweet sound that calls the young sailors?
The voice might be one and the same
I've heard it too many times to ignore it
It's something that I'm supposed to be
Someday we'll find it, the rainbow connection
The lovers, the dreamers, and me
La-da-da, de-da-da-do
La-da-da-da-da-de-da-do
Answer:
You can’t see a rainbow from the other side. There is no other side. A rainbow happens when light is reflected from water droplets. If you get to the other side of the rain and look back, you can’t see the reflection. It would be like going behind a movie projection screen. You can’t see anything from the back side.
Step-by-step explanation:
What is the difference?
5x/x-2 - X+4/2x
Answer: 9x^2-2x+8/2x(x-2)
Step-by-step explanation:
Answer: C
Step-by-step explanation:
A = [1, 3, 5, 7, 9)
B = (2, 4, 6, 8, 10)
C = {1, 5, 6, 7, 9)
AU (Bn C) =
Answer:
the second one
Step-by-step explanation:
I think
How do I find the volume of this pyramid
Answer:
10*10*12 = 120 ÷ 3 = 40
Step-by-step explanation:
The formula to find a pyramid's volume is
V = [tex]\frac{l*w*h}{3}[/tex] (length 'times' width 'times' height, divided by 3)
A plane leaves an airport traveling at 400 mph in the direction N 45° E. A wind is blowing at 40 mph in the direction N 45° W. What is the ground speed of the plane?
400 mph
402 mph
429 mph
440 mph
Answer:
402 mph
Step-by-step explanation:
Draw a right triangle with 400 and 40 as the two legs.
You know this is a right angle because 45 degrees NE is perpendicular to 45 degrees NW. (imagine a compass)
So, the two side lengths are 400 and 40
Using the Pythagorean theorem, (a^2 + b^2 = c^2) you can see that the answer is 401.995, or 402
The ground speed of the plane is 402 mph , Option B is the correct answer.
What is a Right Angled Triangle ?A right angle triangle is a triangle with one of its sides 90 degree.
It is given that
airplane is travelling at speed of 400mph in the direction N 45° E
wind is blowing at 40 mph in the direction N 45° W
The resultant of these two vectors will be the ground speed of the plane.
As they both are travelling in perpendicular directions ( NE is perpendicular to NW)
A right angled Triangle as attached in the image will be formed
Hypotenuse by Pythagoras theorem will give the ground speed of the plane
Hypotenuse = [tex]\sqrt { 40 ^2 + 400^2}[/tex]
Hypotenuse = 401.99 mph
Therefore the ground speed of the plane is 402 mph.
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What is the GCF of a¹²b⁴, a⁴b⁸, a²⁴b¹⁶ and a¹²b²⁰?
Given:
a¹²b⁴, a⁴b⁸, a²⁴b¹⁶ and a¹²b²⁰.
To find:
The GCF of given terms.
Solution:
Greatest common factor (GCF): To find the GCF of two or more numbers, we need to find the product of their prime factor with their maximum powers.
The given terms are
[tex]a^{12}b^{4},a^{4}b^8, a^{24}b^{16}, a^{12}b^{20}[/tex]
Here, each term has two prime factors a and b. The highest power of a is 24 and the highest power of b is 20. So, the GCF of given terms is
[tex]GCF=a^{24}\times b^{20}[/tex]
[tex]GCF=a^{24}b^{20}[/tex]
Therefore, the GCF of a¹²b⁴, a⁴b⁸, a²⁴b¹⁶ and a¹²b²⁰ is a²⁴b²⁰.
Casper write the algebraic expression 5b + 3.79. I represents the total cost, in dollars, of buying 5 bagels and a container of cream cheese. Identify any variables, coefficients, and termsin the expression.
Answer:
yes
Step-by-step explanation: