Given:
Consider a point d divides line segment ab of length 10 centimetre internally in the ratio 2:3.
To find:
The length of ad.
Solution:
If a point d divides line segment ab internally in the ratio 2:3, then the length of ad and db are 2x and 3x receptively.
We know that,
[tex]ab=ad+db[/tex]
Length of the segment ab is 10 cm.
[tex]10=2x+3x[/tex]
[tex]10=5x[/tex]
Divide both sides by 5.
[tex]2=x[/tex]
Now,
[tex]ad=2x[/tex]
[tex]ad=2(2)[/tex]
[tex]ad=4[/tex]
Therefore, the length of segment ad is 4 centimetres.
Your school is planning a field trip to the zoo. There are two different bus companies that the school can
use. Bus company A has a $25 rental fee plus $7 for each student. Bus company B has a $85 rental fee
plus $5 for each student. How many students will need to go in order for the bus to cost the same from
both companies?
Answer:
For Company A 15 students will be able to go. For company B 21 students will be able to go.
Step-by-step explanation:
Company A 15 x 7 = 105
Company B 21 x 5 = 105
The total amount of money each company will get is $105.
find the value of each variables
Answer:
Step-by-step explanation:
Two similar triangles.
10/26 = y/13
y = 5
x² = 13² - y² = 144
x = 12
For your batch of cookies, you'll need 2 cups of chocolate chips for every 5 cups of cookie dough mix. You have 30 cups of cookie dough mix, how many cups of chocolate chips?
2/5=x/30 so first one times by 6 and to get 12
If a1=10 and an=an-1+4 then find the value of a5
Answer:
26
Step-by-step explanation:
Each term is the previous with 4 added to it.
a1 = 10, a2 = 14, a3 = 18, a4 = 22, a5 = 26
The value of [tex]a_{5}[/tex] will be equal to 26 .
It is given that [tex]a_{1}[/tex]= 10 and [tex]a_{n} = a_{n-1} + 4[/tex].
We have to find the value of [tex]a_{5}[/tex].
What do you mean by sequences ?
Sequences are a list of numbers which are arranged in a special manner i.e., 2 , 4 , 6 , 8 numbers of this sequence gets increased by 2 every time.
As per the question ;
The first term ; [tex]a_{1}[/tex]= 10
and given ;
[tex]a_{n} = a_{n-1} + 4[/tex]
So ;
2nd term will be ;
[tex]a_{2} = a_{1} + 4[/tex]
[tex]a_{2}[/tex] = 10 + 4
or
[tex]a_{2}[/tex] = 14
Now ;
3rd term will be ;
[tex]a_{3} = a_{2} + 4[/tex]
[tex]a_{3} = 14 + 4[/tex]
[tex]a_{3}[/tex] = 18
Hence , the common difference is d = 4.
So ;
4th term will be ;
[tex]a_{4}[/tex] = 18 + 4
[tex]a_{4}[/tex] = 22
and
5th term will be ;
[tex]a_{5}[/tex] = 22 + 4
[tex]a_{5}[/tex] = 26
Thus , the value of [tex]a_{5}[/tex] will be equal to 26 .
To learn more about sequences click here ;
brainly.com/question/23638414
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PLSS HELP. WILL GIVE BRAINLIEST TO WHOEVER GETS IT RIGHT FIRST
Answer:
it is a linear graph ♂u think that at what distans he do read page in a hour
Expand and simplify
(4 + 2)(6-2)
Give your answer in the form b+ CV 2
Answer:
(4+2)(6-2)
24+8+12-4
44-4
40
Answer:
youre welcome- have a nice day
Step-by-step explanation:
Help it says to make a triangle and I don't know wut I'm doing wrong. I already got (6,4) like a lot of ppl said but it still says I'm wrong.
Answer:
this is pythagorus theorem
the height is 7,2
the distance is d
d^2 = 5^2 + 4^2
hope this helps
HELPPPP I have no idea how to do graphhhsssss
Answer:
Follow the lines
Step-by-step explanation:
Follow what the lines go with what the table has.
To make this really easy, find the slope of the line
To do this you find an easy point.
Ex. x=3 and y= 150
then take it into a slope y-intersept formula
y= mx
150= 3x
50 = x
so for every time x goes up one interval, y increases at a rate of 50.
And for y, do the opposite, for every 50 y, x goes up 1.
By following this linear path, you should really beable to solve the graph on the right. (If you need to, use a calculator for dividing the y numbers by 50 to get x)
y= 50x is ur slope/formula
(Ill leave the rest for you to answer with this data above ;) )
Hope This Helps :)
What is the volume, in cubic cm, of a cylinder with a height of 16cm and a base radius of 3cm, to the nearest tenths place?
Answer:452
Step-by-step explanation:
V = π r^2 h
= 3.14 * 3^2 * 16
= 3.14 * 9 * 16
= 452.16
During a huge snowstorm in the White Mountains last year, it snowed 67.5 cm In one day. How much did it snow in meters?
Be sure to include the correct unit
Tj wants to know his weight in pounds. If 1 kg = 2.2 pounds and Tj’s weights is 48kg, how much does he weigh in pounds?
a. 106.5
b. 105.6
c. 150.6
d.160.5
Answer:
1kg/2.2lbs = 48kg/x
1kgx = 105.6
x = 105.6lbs
B
The line L is shown on the grid.
Find an equation for L.
Give your answer in the form y=mx+c
Answer:
y = -5x - 5
Step-by-step explanation:
Given the standard form of an equation as y=mx+c
m is the slope
c is the intercept
Using the coordinate points
(1, 0) and (0,-5)
m = -5-0/0+1
m = -5/1
m = -5
Get the intercept
Intercept is the point where thee line cuts the y axis. intercept is -5
Get the equation:
Recall that y = mx+c
y = -5x + -5
y = -5x - 5
This gives the required equation
Add or Subtract to simplify
Answer:
-5x^5 + 2x^3 - 6x should be your answer
At a high school there was a survey to find out how many people used different forms of transportation. The study found that 1/4 of the students were taken by car to school, 42% took the bus and the rest walked or took public transportation. There was a total of 600 students. How many students took the bus?
225
252
351
157
which one ^
Answer:
252
Step-by-step explanation:
600X42%=252
help me solve for t please
Answer:
t = 1/3
Step-by-step explanation:
for this problem we have two different shapes, what we need to do is find out the proportional relationship between the two to solve for t, lets take one of the measurements from the smaller shape, we will go with... JK at 5
now all we need to do is divide that by the larger shapes same side, in this case that would be RP at 22.5, heres what that looks like so far
5 / 22.5 = 0.2-> (the two goes on forever, normally this is represented by a line above the infinite number, this is what they call a Repeating Decimal)
ok, so now that we have the rate of change between the two shapes figured out, now we just make the same change to the last side from the same side on the first shape, wich is LK to QR as shown
1.5 * 0.2-> = 0.3->
and if 0.3 is = to 1/3, so t = 1/3
i hope this helped you out, im sorry if im a little late lol, make note that all of this can be applied to similar situations, just figure out the change(s) that happened from one shape to the other, and make that same change on the unknown side or area
take care :D
help me pls this is 8th grade math fastest answer gets brainliest show work pls
Answer:
10/10 = 1
x2/x2 = 1
x3/x3 = 1
10 raise to power 4/ 10 raise to power 2 = 10 raise to power 2
5 raise to power 5/ 5 raise to power4 = 5
x raise to power 7/ x raise to power 5 = x raise to power2
Step-by-step explanation:
I hope this helps a little bit.
Please help
..............
Answer:
2[tex]\pi[/tex]
Step-by-step explanation:
[tex]\frac{1}{6}[/tex]×2×6[tex]\pi[/tex]=2[tex]\pi[/tex]
A computer store buys a computer system at a cost of $357.60. The selling price was first at $596,
but then the store advertised a 40% markdown on the system. Answer parts a and b.
a. Find the current sale price
Answer:
238.40
Step-by-step explanation:
you need to use "PRT"( Principal× Rate×time) but since it doesn't give us the time, we'll be only doing principal×rate. just multiply 596 and 40% And don't forget to put the percent sign bc it would change the price!! and I hope that helps u
if two points pass through each other it will be function or if it doesn't pass
Answer:
If two points pass through each other it means that it is not a function. The vertical line test shown proves that fact.
Step-by-step explanation:
A hotel currently has enough room to accommodate at most 200 guests per night. It plans to expand its capacity by 12 guests every year. To make a profit, the hotel must have at least 40 guests staying in the hotel. The hotel manager expects that threshold to increase by 10% every year.
The manager modeled this situation with a system of linear inequalities, where x is the time from today, in years, and y is the number of guests. Which ordered pairs represent viable solutions of this system?
Answer:
(20,280) and (10,300)
Step-by-step explanation:
It was the correct answer on the practice question
Answer:
Edmentum/Plato
Solve for w,x,y and z
Answer:
Step-by-step explanation:
2y - 6 + y = 180 {Co-interior angles}
3y - 6 = 180
3y = 180 + 6
3y = 186
y = 186/3
y = 62
y + w = 180 {Linear pair}
62 +w = 180
w = 180 - 62
w = 118
ΔILK ,
∠L + ∠ I + ∠K = 180 {Angle sum property of triangle}
w + z + 30 = 180
118 + z + 30 = 180
z + 148 = 180
z =180- 148
z = 32
x = z {Alternate interior angles}
x = 32
Which two operations are needed to write the expression that represents "eight more than the product of a number and two"? O multiplication and subtraction O division and subtraction O multiplication and addition O division and addition
Answer:
O multiplication and addition
Step-by-step explanation:
let no be n
"eight more than the product of a number and two=2n+8
The veterinarian weighed Oliva's new puppy, Benz, on a defective scale.
He weighed 24 pounds. However, Boaz weighs exactly 26.75 pounds.
What is the percent of error in measurement of the defective scale to
the nearest tenth?
Your answer
Help plss
Answer:
[tex]\boxed{x = 10.28 \%}[/tex]
Step-by-step explanation:
[tex] \frac{(26.75)x}{100} = 2.75 \\ \boxed{x = 10.280373832}[/tex]
Can somebody help me with this math question, all you have to do is answer the equation, then it's described, and then it draw it out I'll give you 100 points and a Brainliest
Answer:
x=-2
Step-by-step explanation:
add 18 to both sides, simplify, add 6x to both sides, simplify, divide both sides by -12.then simplify again... I hope that helps...
how to solve improper fraction of 4/5 - 1/4???
Answer:
11/20
Step-by-step explanation:
First, you have to find a common denominator between the two fractions, 4 and 5 can both equal 20 so we change the denominators to 20, 4/5 =16/20 since whatever we multiply on the bottom we multiply on the top, now for 1/4 we change it to 5/20. Now for the question, we subtract since that's what it's asking, so 16/20 - 5/20, 16 - 5 equals 11 and the denominators stay the same so the answer would be 11/20
y= 5x + 13
and
y= x + 45
Answer:
x=8 and y=53
Step-by-step explanation:
Given function:
y=5x+13y=x+45Find x:
the two equation, the x and are breaked apart..so find a number that they can both equal to together and has the same y. multiply by 8..[tex]5[/tex]·[tex]8=40[/tex] combine the terms for x and 13[tex]40+13=53[/tex] since x is 8 then if we add 8 with 45 it should be 53...[tex]8+45=53[/tex]y is:
this means that y=53.Therefore, x=8 and y=53..
Lacey has $36 to spend. She buys a pair of sunglasses for $14.89 and a hat for $9.33. Lacey buys a scarf with the remaining money. How much does Lacey spend buying a scarf? (1 point)
$4.66
$7.44
$11.78
$24.22
Answer: 11.78
Step-by-step explanation: You have to minus 36 by the cost of the hat and sunglasses.
Answer:
11.78
Step-by-step explanation:
Lacery has 36 dollars so she only has 36
she buy a pair of sunglasses for 14.89 14.89
ans buys a hat for 9.33
add 9.33 and 14.89 which u get 24.22
36.00
minus
24.22 equals 11.78
Evaluate 6(-3) -1-51 +131 =
-20
-10
16
simplify the rational expression: x-a/7x + 5x-5a/7x
Answer:6x - (6xa)/(7)
Step-by-step explanation:
A zoo has 60 penguins total if the emperor penguins make up 35% of all the penguins at the zoo how many emperor penguins are at the zoo?
Answer:
21 emperor penguins
Step-by-step explanation:
1. Convert 35% to decimal form
0.35
2. Multiply 0.35 by 60
21
3. The answer is 21