Answer:
The coordinates of the point is (5.5, -2)
Step-by-step explanation:
Okay, what we want to do here is to get the point that divides the line that joins the points (3,3) to (7,-5) in the ratio 5 to 3
Generally, given the ratio a:b and we want to divide the line joining the points (x1,y1) and (x2,y2) in that ratio, we use the condensed formula below;
Let’s call the point dividing the line in the given ratio z.
The coordinates of Z is;
{(bx1 + ax2)/(a+b), (by1 + ay2)/(a+b)}
In this question (x1,y1) = (3,3)
While (x2,y2) = (7,-5)
while a:b = 5:3
Substituting these values into the coordinate equation for point z, we have ;
{((3(3) + 5(7))/(5+3), ((3)(3) + 5(-5))/(5+3)}
= {44/8 , -16/8} = {5.5, -2}
Triangle MNP is similar to triangle QRS. Which sides have the same slope?
Answer:
The corresponding sides have the same slope so the answer is QR and MN, SR and PN and MP and QS. Hope this helps!
Here are two similar cones. The area of the base of the small cone is equal to 36 t cm2. The radius and apothem of the large cone are 9 cm and 15 cm respectively. What is the volume of the small cone? *
( IF YOU CAN DO ALL OF THE STEPS THAT WILL BE VERY HELPFUL)
thx
ASAP 7 POINTS + LINK TO A 50 POINT QUESTION
Which of the following will always represent a function?
1: a table of pairs of numbers
2: an equation in the form y = mx + b
3: a list of ordered pairs
4: a list of numbers
Link to 50 point question: https://brainly.com/question/16753532
Answer: 2: an equation in the form y = mx + b
1. An x/y table may have two entries with the same x; not a function in that case.
2. That's a line with a slope; for each x there's a single y, definitely a function
3. Ordered pairs -- like the table, the same x with different ys is possible, which wouldn't be a function.
4. List of numbers -- a list isn't a function, at least not without more context
The segment shown below could form a triangle. True or False
9514 1404 393
Answer:
B. False
Step-by-step explanation:
In order for segments to form a triangle, the sum of the shorter two must exceed the length of the longest. Here, that is ...
5 + 6 vs 12
11 vs 12
The short segments are not long enough to form a triangle. The assertion is FALSE.
use factoring to solve this x^2-4x-12=0
Answer:
x= 6 x= -2
Step-by-step explanation:
x^2-4x-12=0
What 2 numbers multiply to -12 and add to -4
-6*2 = -12
-6+2 = -4
(x-6)(x+2) = 0
Using the zero product property
x-6 =0 x+2 =0
x= 6 x= -2
What is the value of x?
20
35
60
70
The required value of the x is 20° for the two intersecting lines.
A figure has shown the intersecting line TW and VS. And opposite angles are given x+40 and 3x. The value of the x is to determine in a manner to find the respective angle.
The angle can be defined as the one line inclined over another line.
alternate angles of two intersecting lines is equal.
x +40 = 3x
3x - x = 40
2x = 40
x = 40/2
x = 20°
required angle x and x+40
x = 20
x + 40 = 20+40
= 60°
Thus, the required value of the x is 20°.
Learn more about Angles here:
https://brainly.com/question/13954458
#SPJ6
15 POINTS AND WILL MARK BRAINLIEST Help?? Pleasee
The experimental probability is calculated based on the results of the experiment; since the name Ted was chosen 26 times out of 123, the experimental probability is [tex]\boxed{\frac{26}{123}}.[/tex]
Typically, the theoretical probability assumes that events are chosen randomly; since the name Ted is one of the 6 in the hat, the theoretical probability is [tex]\boxed{\frac{1}{6}}.[/tex]
If we increased the number of names in the hat, we would expect both the experimental and theoretical probability to decrease, since there are now more names to choose from. Similarly, if we decreased the number of names in the hat, the experimental and theoretical probability would increase.
Frank works in the supply room of a law firm. At the beginning of the month, he had 21 boxes of pens with 13 pens in each box. At the end of the month, there were 45 pens left. How many pens did he give out over the month?
If it is recommended that you limit your fat intake to less than 30% of your calories, what is the limit if you consume 2,000 calories a day?
Answer:
30% of 2,000 = 600 calories.
Step-by-step explanation:
A farmer picked 600 portugals and oranges in total to be sold to the market. There are 3 times as many oranges as there are portugals. How many portugals are picked by the farmer?
Answer:
450 portugals
Step-by-step explanation:
in this question, we are tasked with calculating the number of portugals which are picked by the farmer
Firstly, let the number of portugals picked be p and the number of oranges picked be r.
Thus;
p + r = 600 ••••••••••(i)
Secondly there are 3 times as many oranges as there are portugals;
That would be;
3 * r = p
3r = p. •••••••••(ii)
substitute ii into i
3r + r = 600
4r = 600
r = 600/4
r = 150
P = 3r
p = 3 * 150 = 450
The base of the pyramid below is a nonregular heptagon with an area of 30.0 square yards. The height of the pyramid is 6.6 yards. Find the volume of the pyramid. Notice the area of the base is GIVEN
Answer:
Volume of the pyramid is 198 yards^3
Step-by-step explanation:
Here, we are asked to calculate the volume of the pyramid given the area of its base and its height.
Mathematically, the volume of the pyramid can be calculated using the formula below;
Volume of pyramid = Area of heptagonal base * height of pyramid
Volume of pyramid = 30 * 6.6 = 198 yards^3
The hypotenuse of right triangle ABC is represented by segment AB, as shown on the graph.
On a coordinate plane, line A B has points (negative 3, negative 4) and (5, 3).
At which point could point C be located?
(–3, 3)
(–3, 2)
(5, –5)
(5, –3)
Answer:
(-3,3)
Step-by-step explanation:
just took the test on edg.
Answer:(–3, 3)
Step-by-step explanation:
Given f(x) = -x – 4, find f(4).
Step-by-step explanation:
f(4) = -4 -4
= -8
......
.......
Find the number of ways a math test can be made with a 20 question test bank and a 15 question test
Answer: we can make 15,504 different math tests
Step-by-step explanation:
Ok, we have a bank with 20 questions (Q1, Q2........ , Q20)
and we want to make a test with 15 of those 20 questions.
As the order of the questions does not matter in the thest ( is the same if the order is Q1, Q2, ...., Q15 than if the order is Q15, Q14, ....., Q1 )
So we only want the number of combinations.
When we have N elements and we want to create groups of K elements, the total number of combinations is:
[tex]C = \frac{N!}{(N - K)!*K!}[/tex]
Here N = 20 and K = 15
[tex]C = \frac{20!}{5!*15!} = \frac{20*19*18*17*16}{5*4*3*2*1} = 15,504[/tex]
So we can make 15,504 different math tests
What is the slope of the line represented by the equation y=-
5x?
0-5
or w/N wind
5
Answer:
the slope would be -5
Step-by-step explanation:
in linear equations, the slope of the line is the coefficient of x
so in this case, it is -5
What is f(a+2)
A.
B.
Or
C.
Answer:
B
Step-by-step explanation:
f(x) = 3(x + 5) + 4/x
To find f(a + 2) , put a + 2 in place of every x
f(a + 2) = 3 (a + 2 + 5) + 4/(a + 2)
f(a + 2) = 3 (a + 7) + 4/(a + 2)
PLEASE HELPPP !!!!!!!!
Answer:
The answer is D
Step-by-step explanation:
These two matrices cannot be added. To be eligible to add two matrices together, they must have the same dimensions. In this case, they have two different dimensions so the answer is D.
Hope this helps! (Please consider giving brainliest)
What are the solutions to the quadratic equation 4x^2 = 64?
A. x = −16 and x = 16
B. x = −8 and x = 8
C. x = −4 and x = 4
D. x = −2 and x = 2
Answer:
C
Step-by-step explanation:
Given
4x² = 64 ( divide both sides by 4 )
x² = 16 ( take the square root of both sides )
x = ± [tex]\sqrt{16}[/tex] = ± 4
Solutions are x = - 4 and x = 4 → C
A rectangular tank 50 cm long, 20 cm wide, and 33 cm high is filled with water to a depth of 12cm. How many more liters of water need to be added to fill the tank?
Answer:
21 litres
Step-by-step explanation:
1 litre = 1000 cubic cm
The rectangular tank is 50 cm long, 20 cm wide, and 33 cm high.
The tank is in the shape of a rectangular prism.
The volume of a rectangular prism is:
V = l * w * h
where l = length
w = width
h = height
Therefor, its volume is:
V = 50 * 20 * 33 = 33000 cubic cm = 33 litres
The tank is filled to a depth of 12 cm.
The volume of water in the tank is:
V = 50 * 20 * 12 = 12000 cubic cm = 12 litres
Therefore, the number of litres left to fill the tank is:
33 - 12 = 21 litres
The liters of water needed to fill the tank is 21 liters.
Determining the volume of the rectangular tankThe first step is to determine the volume of the tank. The tank has the shape of a cuboid. Thus, the formula for the volume of a cuboid would be used to determine the volume of the tank.
Volume of the tank = length x width x height
50 x 20 x 33 = 33,000
Determination of water needed to fill the tank.1 liter = 1000 cm
33,000 / 1000 = 33
The tank is already filled with 12 liters of water.
Water needed = 33 - 12 = 21 liters
To learn more about volume of a cuboid, please check: https://brainly.com/question/46030
two similar figures have an area of 25 in^2 and 4 in^2, what is the ratio of the corresponding sides?
Answer:
5/2
Step-by-step explanation:
ratio of sides=(√25)/(√4)=5/2
Is this right?!! Please answer
Answer:15
Step-by-step explanation:
You have 2L plus 2w = 40 you know that w = 5. multiply 5 by to because you have 2w. your new equation is 2l + 10 = 40. subtract ten from both sides, your new equation is 2l =30. Divide both sides of the equation by two, get L = 15
Tanzila is selling tickets to the MS127 musical. On the first day of ticket sales she sold 2 adults tickets and 10 child tickets for a total of $78. Then she sold $67 on the second day by selling 8 adults tickets and 5 child tickets. What is the price of one adult ticket and one child ticket?
Answer:
One adult ticket is $4 and one child ticket is $7
Step-by-step explanation:
Make a system of equations
2x + 10y = 78
8x + 5y = 67
Solve by elimination, multiply the 2nd equation by -2
2x +10y = 78
-16x -10y = -134
Add the equations
-14x = -56
x = 4
The price of one adult ticket is $4
Plug 4 in as x to find y
2(4) + 10y = 78
8 + 10y = 78
10y = 70
y = 7
The price of one child ticket is $7
Chen buys 4 tickets to a soccer game. The total cost before taxes is $80. Which equation would you use to determine the price, p, of the ticket? A 4p=80 B 80p=4 C 4+p=80 D p/4=80
Answer:
A. 4p=80
Step-by-step explanation:
Total Cost of 4 tickets=$80
Price=p
Quantity=4
Total cost=price×quantity
80=p×4
80=4p
80=4p is the equation that can be used to determine price
From the equation
80=4p
Divide both sides by 4
80/4=4p/4
20=p
Price is $20 per ticket
Answer:
4p = 80
Step-by-step explanation:
Total cost before tax = $80
Number of tickets purchased = 4
Price 'p' of each ticket
p = total price of ticket / number of tickets purchased
p = 80 / 4
Multiplying both sides by 4
4p = 80
a printing machine prints 70 pages in 8 minutes how many pages could it print in one hour
Answer:
525 pages in one hour.
Step-by-step explanation:
1 hour = 60 minutes
70 pages in 8 minutes
[tex]x[/tex] in 60 minutes
8x=4200
525
Answer:
525 pages in 1 hour
Step-by-step explanation:
Use proportions
70 pages --> 8 mins
? pages --> 60 mins
60/8 = 7.5
That means ?/7.5 = 70, then ? = 70*7.5, ? = 525
Assume that y varies directly with x . Ify = 18when x = 6 , findywhen x = 5 . Write and solve a direct variation equation to find the answer. y =
Answer:
y = 15
Step-by-step explanation:
It's given in this question that y varies directly with x.
That means, y ∝ x
⇒ y = kx (where k is the proportionality constant)
If y = 18 when x = 6,
⇒ 18 = 6k
⇒ k = 3
Therefore, relation between x and y is,
y = 3x
From this relation, if x = 5
y = 3×5
y = 15
Therefore, for x = 15 value of y will be 15.
A candy jar contains flavoured jelly beans. There are 7 orange, 9 cherry, 3 lemon, 15 licorice, and 6 blueberry. Find the probability of choosing and orange or a lemon jelly bean. PLEASE HELP!!!
Answer:
25%
1/4
Step-by-step explanation:
There are 40 beans in total. Only 10 of those are orange and lemon flavored.
what is 5.9736/7.349 reduced to simplest form
Answer:
I think that the answer would be, 0.813
Step-by-step explanation:
5.8736
7.349
equals 0.812845
If you round it you get 0.813
The members of a men’s club have a choice of wearing black or red vests to their club meetings. A study done over a period of many years determined that the percentage of black vests worn is 70%. If there are 10 men at a club meeting on a given night, what is the probability, to the nearest thousandth, that at least 8 of the vests worn will be black?
Answer:
Step-by-step explanation:
Let x be a random variable representing the number of the members of a men’s club that wear black vests to their club meetings. This is a binomial distribution since the outcomes are two ways. It is either they wear black or red. The probability of success, p = 70/100 = 0.7
The probability of failure, q would be 1 - p = 1 - 0.7 = 0.3
a) Number of samples, n = 10
We want to determine P(x ≤ 8)
From the binomial distribution calculator,
P(x ≤ 8) = 0.851
Answer:
The probability that at least 8 of the vest worn will be black is 0.75490
Step-by-step explanation:
The parameters given are;
The percentage of black vest worn = 70%, p₀ = 0.7
Number of men in sample, n = 10
Required number of men who wore black = 8
Proportion of sample [tex]\hat p[/tex] = 8/10 = 0.8
The z score of a proportion is given by the relation;
[tex]z = \dfrac{\hat p - p_0}{\sqrt{\dfrac{p_0(1 - p_0)}{n} } }[/tex]
Plugging in the vales, we have;
[tex]z = \dfrac{0.8 - 0.7}{\sqrt{\dfrac{0.7(1 - 0.7)}{10} } } = 0.69[/tex]
From the z table we have probability = p(z < 0.69) = 0.75490
The probability that at least 8 of the vest worn will be black = 0.75490.
There are 4 students at the Math Club picnic. If 2 students are drinking punch
and 2 are drinking lemonade, what fraction are drinking punch?
Simplify your answer as much as you can
Answer: 1/2
If 2 students are drinking punch
and 2 are drinking lemonade that would mean it would be 2/4
but if you were to simplify by dividing both by 2
it would be 1/2.
Can someone plz help with this?
Answer:
A = 20 square units ; Type in 20
Step-by-step explanation:
The simplest way to derive the area of this figure, is to first consider what the shape is itself;
[tex]Criteria of Shape - 2 Bases, 1 pair of Parallel Sides, Composed of two triangles, one square -From this we See that - Shape ; Trapezoid ( neither Right nor Isoceles )[/tex]
Knowing that the shape is a Trapezoid, consider the formula ( Average of Bases ) * Height as to solve for it's area;
[tex]Length Of Base 1 - 3 units,\\Length of Base 2 - 7 units,\\Length of Altitude - 4 units,\\[/tex]
Now let us substitute these values, solving for the Area;
[tex]Area Of Trapezoid - ( ( Base 1 + Base 2 ) / 2 ) * Height,\\ ( ( Base 1 + Base 2 ) / 2 ) * Height = ( ( 3 + 7 ) / 2 ) * 4,\\( 10 ) / 2 * 4 = 5 * 4 = 20 square units,\\\\Conclusion ; Area of Trapezoid = 20 square units[/tex]
Solution; A = 20 square units
Answer:
A=20 (square units)
Step-by-step explanation:
B=XW=8-1=7
b=YZ=5-2=3
h=5-1=4
A=(B+b)*h/2
A=(7+3)*4/2=10*2
A=20 square units
