Answer:
[tex]\dfrac{a+b+c}{a} =7[/tex]Step-by-step explanation:
Given :-
[tex]\dfrac{a+b}{3} =\dfrac{b+c}{6} =\dfrac{c+a}{5}[/tex]And we need to prove that ,
[tex]\dfrac{a+b+c}{a} =7[/tex]So let us assume that ,
[tex]\implies\dfrac{a+b}{3} =\dfrac{b+c}{6} =\dfrac{c+a}{5}=k[/tex]
Where k is a constant . Now equate each of the three terms separately to k . Therefore we have ,
[tex]\dfrac{a+b}{3}=k[/tex]
[tex]\implies a + b = 3k \quad \dots (i) [/tex]
Similarly we can say that ,
[tex]\implies c + b = 6k \quad \dots (ii)[/tex]
[tex]\implies a + c = 5k\quad \dots (iii) [/tex]
Subtracting (i) and (ii) :-
[tex]\implies a - c = -3k \quad \dots (iv) [/tex]
Adding (iv) and (iii) :-
[tex]\implies 2c = 4k [/tex]
[tex]\implies \boxed{c = 4k }[/tex]
Put this is (ii) :-
[tex]\implies b +4k = 6k [/tex]
[tex]\implies \boxed{b= 2k }[/tex]
Similarly we will get ,
[tex]\implies \boxed{a = k }[/tex]
Proving the given equation :-
[tex]\implies \dfrac{a+b+c}{a} \\\\\implies \dfrac{k+2k+4k}{k} \\\\\implies \dfrac{7k}{k}=\boxed{\red{ 7}}[/tex]
Hence proved !
What is the code? Please help!
I need help please !!!!!!
Quadrilateral WXYZ is translated 5 units left and 2 units down to create Quadrilateral W’X’Y’Z’.
2
Which rule best describes this transformation?
(x, y) → (-4x, -4y)
(x, y) → (-5x, -2y)
(x, y) → (x + 5, y + 2)
(x, y) → (x - 5, y - 2)
Answer:
It would be a
Step-by-step explanation:
(6+1) to the power of 2. For some reason I forgot how to do this.
Answer:
49
Step-by-step explanation:
see the image below:)
solve: 3x^2+16x+5=0
I did it but apparently its wrong so, please help it would literally probably help me finish high school.
Answer:
(3x+1)(x+5)
Step-by-step explanation:
Sorry for my handwriting lol hope this makes sense
Calculate the surface area of an open cylinder measuring 35cm in diameter and 60cm high.
Answer:
6598.2 in^2
Step-by-step explanation:
Given data
Diameter= 35in
Radius= d/2= 35/2= 17.5in
Height = 60cm
The expression for the curve surface area of a cylinder is
CSA=2πrh
substitute
CSA= 2*3.142*17.5*60
CSA= 6598.2 in^2
Hence the CSA is 6598.2 in^2
find the hypotenuse of traingle, which has base = 8 and perpendicular = 6,
please help me otherwise I will fail :(
Answer:
10 is the hypotenuse
Step-by-step explanation:
a² + b² = c²
Given:
a = 8
b = 6
Work:
a² + b² = c²
8² + 6² = c²
64 + 36 = c²
100 = c²
[tex]\sqrt{c^2} =\sqrt{100}[/tex]
c = 10
Step-by-step explanation:
hope it is helpful to you
Hey guys! Can i get some help on this one? Thank u!
Answer:
x=-1
Step-by-step explanation:
-2x-3=x
add 2x to both sides
-3=3x
divide both sides by 3
-1=x
A linear inequality in two variables has an ___________ number of solutions.
An Infinite Number of solutions is the answer! LMK if you have any more questions, and have a nice day/evening.
please give me answer please
......................................................................................
find the slope of line AB From the Given figures
please help me and solve him
Answer:
slope of AB = 0
Step-by-step explanation:
The slope of the x- axis OX = 0
Since AB is parallel to the x- axis and parallel lines have equal slopes, then
slope of AB = 0
Since, the line AB is parallel to X - axes, so every point on the the line AB will have equal Y - coordinates.
lets take it as Y ( y - coordinate is same )
slope :
=》
[tex] \dfrac{y2 - y1}{x2 - x1} [/tex]
but since y2 and y1 are equal, so
[tex] \dfrac{ Y - Y }{x2 - x1} [/tex]
=》
[tex] \dfrac{0}{x2 - x1} [/tex]
=》
[tex]0[/tex]
what's 3/12 - 1/6 - 1/4 - 1/4
Answer:According to the calculator it says -0.41666666666
Step-by-step explanation:don know if its correct but dc byeee
Answer: -5/12
Step-by-step explanation:
Data: 3/12-1/6-1/4-1/4=x
Step one, Find the common demoninator of the fractions
3/12-1/6-1/4-1/4 = 3/12-2/12-3/12-3/12
Reason: You can't subtract fractions that don't have the same denominatory so by finding the common demoninator you allow the problem to be solved.
Step two, Subtract
3/12-2/12= 1/12-3/12=-2/12-3/12=-5/12
Reason: You subtract fractions(With the same denominator) like normal numbers but you keep the denominator the same. When subtracted, the end result is -5/12 since subtracting a bigger number from a smaller number creates a negative.
Answer: -5/12
I hope this helps!
X divided by 3-6=6 please hurry:)
For the equations given below, which statement is true? A. The equations do not have the same solution because the second equation can never be obtained when multiplying the first equation by any value. B. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by −3. C. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by 3. D. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by −4.
List the first 5 multiples of 4. * Your answer
Answer:
4,8,12,16,20
Step-by-step explanation:
I need answers now please!
Answer:
option C
Step-by-step explanation:
someone please explain this
Answer:
Step-by-step explanation:
110=4t+90(being vertically opposite angles)
110-90=4t
20/4=t
5=t
Answer:
Hello! answer: t = 5 degrees
Step-by-step explanation:
these are vertical angles meaning they will have the same measure! 4 × 5 = 20 and 20 + 90 = 110 therefore t = 5 HOPE THAT HELPS!
4 divided by 5 long division
I need help on this please
1 with a remainder of 1
In which of the following do you expect the correlation coefficient to be closest to 1?
Answer:
the answer is -1.0 to positive 1.0
Step-by-step explanation:
and i used my head
if each box represents 1 miles, what is the shortest distance from the school to the skate park.
The shortest distance between two points is a straight line.
Use the distance formula for points.
In the diagram, we are given two points:
(4,2) and (-3,0).
Let d = distance between the two points.
d = sqrt{(-3 -4)^2 + (0-2)^2}
d = sqrt{(-7)^2 + (-2)^2}
d = sqrt{49 + 4}
d = sqrt{53}
d = 2.2360679775
d = 2.2 miles
can someonee help me please
Answer:4
Step-by-step explanation:
x+8=2x-1
so x-9=0
and x=9
so x+6=9+6=15
and x+8=9+8=17
You can do Pythagoras' theorem:
17^2-15^2=64
so [tex]\sqrt{64}[/tex]=4
solve for x
20
30
40
56
Answer:
30
Step-by-step explanation:
brainliest?
Answer:
40
Step-by-step explanation:
Candice babysat 2 hours each night for 12 nights. She earned a total of $312 babysitting. Candice wants to calculate her hourly rate. How much did Candice earn per hour of babysitting? plz i need the answer
Answer:
$13
Step-by-step explanation:
Can anyone help?????
Someone help pls :,)
Answer:
B=70.41 m^2V=675.41 m^3
Step-by-step explanation:
I'm in a hurry
help help 100 points
Answer:
all of them except the first and the 4th
Step-by-step explanation:
Answer:
Step-by-step explanation:
All but 4
Solve the equation 3 (x+ 4.5) = 36 one step at a time. Use the diagram to help you
(EXPLAIN. step BY step)
A seventh-grade teacher asks her students a survey question. Which questions are appropriate for the teacher to ask her population? Select three options.
Answer:
The questions that are appropriate for the teacher to ask her population are:
How many hours of sleep do you get per night?
On average, how long does it take you to complete your homework?
What time do you leave for school in the morning?
Step-by-step explanation:
The survey is conducted among the seventh grade students so the valid question their teacher would have asked them is:
How many hours of sleep do you get per night?
On average, how long does it take you to complete your homework?
What time do you leave for school in the morning?
while the other two questions are invalid as it the students are young and they are not legal to vote.
also it is not necessary that they would arrive to school by car. Please mark the brainliest!
Claire can make an origami swan in 2 1/2 minutes what fraction shows the number of swans she can make per minute
Answer:
2/5
Step-by-step explanation:
Number of swans Claire can make in one minute = 1 ÷ 21/2
convert 2 1/2 to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
2 1/2 = 5/2
1 ÷ 5/2
1 x 2/5 = 2/5
answer number 3 plz (i give brainliest)
Answer:
Pretty sure it's B.)
Step-by-step explanation:
I wrote 6 x 10^5 in standard form (6 x 100000 = 600000).
Divided the product by 15 (600000 divided by 15 = 40000).
The only choice that matches is /B/ (4 x 10^4 ---> 4 x 10000 = 40000).