If A, B, C, D, E, and F represent different digits, find their values such that: A B C D E F G H × H 1 1 1 1 1 1 1 1 1
Answers
Answer:
The answer is "[tex]142,857 \times 6=857,142[/tex]"
Step-by-step explanation:
Please find the complete question in the attached file.
Let:
[tex]a b c d e f \times 6 = d e f a b c[/tex]
[tex]\to (10^5 a+10^4 b+10^3c+10^2d+10e+f) \times 6 =10^5d+10^4e+10^3f+10^2a+10b+c \\\\\to ( 6 \times 10^5 a+ 6 \times 10^4 b+6 \times 10^3c+ 6 \times 10^2d+ 6 \times 10e+ 6 \times f) =10^5d+10^4e+10^3f+10^2a+10b+c \\\\\to 600,000a+60,000b+6,000c+600d+60e+6f=100,000d+10,000e+1,000f+100a+10b+c \\\\\to 599,900a+59,990b+5999c=99,400d+9,940e+994f\\\\[/tex]
[tex]\to 7(599,900a+59,990b+5999c)=7(99,400d+9,940e+994f)\\\\\to 85,700a+8,570b+857c=14,200d+1420e+142f\\\\\to 857(100a+10b+c)=142(100d+10e+f)\\\\\to \frac{(100a+10b+c)}{(100d+10e+f)}=\frac{142}{857}\\\\\to \frac{abc}{142}=\frac{de f}{857}\\[/tex]
therefore 142 and 857 are mutually exclusive, so, the only possible way is:
[tex]\to a=1; b=4; c=2; d=8; e=5; f=7 \\\\ \therefore \\\\ \to 142,857 \times 6=857,142[/tex]
Related Questions
if diameter of a circle is 28cm.find radius & circumference.
Answers
Answer:
Radius = 14 cm, Circumference = 88 cm
Step-by-step explanation:
d = 28 cm
r = 1 / 2 * 28
= 14 cm
Circumference = 2πr
= 2 * 22 / 7 * 14
= 2 * 22 * 2
= 88 cm
Hope it helps :)
Please mark my answer as the brainliest
Step-by-step explanation:
Diameter (d) = 28 cmRadius (R) = d /2 = 28 / 2 = 14 cmCircumference (C) = πd= 3.14 * 28= 87.92[tex]hope \: it \: will \: help[/tex]
The candy of a lolipop is in the shape of a sphere with a diameter of 4 cm. The
cylindrical stick inside the candy is the same height as the sphere and has a radius of
0.5 cm. What is the composite volume of the candy? Round to the nearest tenth, if
necessary.
Answers
Ted is making chocolate chip pancakes for his whole family. He wants to make 20 pancakes using a 3-cup bag of chocolate chips. How many cups of chocolate chips will be in each pancake? Write your answer as a proper fraction or mixed number.
Answers
Answer:
3/20
Step-by-step explanation:
Given: Number of cups of pancakes to be made = 20
Number of bag of chocolate chips available = 3
Therefore, cups of chocolate chips will be in each pancake= 3/20
rewrite the equation:
0=x^2+4x+1
Answers
Answer:
-x^2-4x-1=0
plz mark as brainliest
Step-by-step explanation:
Quadrilateral ABCD is rotated 90° about the origin. What are the coordinates of quadrilateral A’B’C’D?
A. A (5,-5), B' (1.-5). C'(1.-2).
D'(5.-1)
B. A(-5, -5), B'(-5, -1) C'(-2,-1), D'(-1,-5)
C. A'(-5,5), B'(-1,5), C'(-1,2).
D'(-5,1)
D. A'(5, -5), B' (5. -1), C' (2-1),
D' (1.-5)
Answers
Answer:
A
Step-by-step explanation:
Answer:
A. A (5,-5), B' (1.-5). C'(1.-2).
D'(5.-1)
Step-by-step explanation:
I got right
Which of the following are not polynomials?
Answers
[tex]\frac{3}{x+3} -\frac{4}{x-3}=\frac{5x}{x^{2} -9}[/tex]
Answers
Answer:
Step-by-step explanation:
[tex]\frac{3}{x+3}-\frac{4}{x-3}=\frac{3*(x-3)}{(x+3)(x-3)}-\frac{4(x+3)}{(x-3)(x+3)}\\\\=\frac{3*x-3*3}{(x+3)(x-3)}-\frac{4*x+4*3}{(x+3)(x-3)}\\\\=\frac{3x-9}{x^{2}-3^{2}}-\frac{4x+12}{x^{2}-3^{2}}\\\\=\frac{3x - 9 -(4x + 12)}{x^{2}-3^{2}}\\\\=\frac{3x-9-4x-12}{x^{2}-9}\\\\=\frac{-x-21}{x^{2}-9}\\\\[/tex]
[tex]\frac{3}{x+3}-\frac{4}{x-3}=\frac{5x}{x^{2}-9}\\\\\frac{-x-21}{x^{2}-9}=\frac{5x}{x^{2}-9}\\\\-x-21=\frac{5x}{(x^{2}-9)}*(x^{2}-9)\\[/tex]
-x - 21 = 5x
Add 'x' to both sides
-x -21 +x = 5x + x
-21 = 6x
6x = -21
x = -21/6
= -7/2
x = -3.5
HELP ME PLZZZZZZZZZZ
Answers
Answer:
In both cases, we have similar figures.
This means that the shape of the figures is the same, but the size is different:
PQST is similar to STNR and to NRPQ
VUYZ is similar to YZWX and to VUWX
this means that, for example, in problem 18, the ratio between ST and NR must be the same as the ratio between PQ and ST. This happens because the measure increases by the same scale factor.
With this in mind, we can solve the problem:
18)
ST = 7.5
NR = 5.5
Then the quotient ST/NR is:
ST/NR = 7.5/5.5
And, as we said above:
PQ/ST = ST/NR
PQ/7.5 = 7.5/5.5
PQ = (7.5/5.5)*7.5 = 10.23
19) Here we should have:
YZ/VU = WX/YZ
Then:
22.9/35 = WX/22.9
(22.9/35)*22.9 = WX = 14.98
First answer gets brainly!
Answers
Step-by-step explanation:
Find the missing value to the nearest hundredth.
Cos = 5/36
Answers
Answer:
Step-by-step explanation:
"cos" by itself is meaningless. It needs an argument.
cos(x°) = 5/36
x° = arccos(5/36) ≅ 82.2°
Can someone please answer my question Geometric Sequence:
3, 6, 12, 24, …
Answers
Answer:
48
Step-by-step explanation:
You multiply by 2 each time
I believe it is multiplying by 2 each time.
3 x 2 = 6
6 x 2 = 12
12 x 2 = 24
So if this was true to continue we would just multiply by 2....
24 x 2 = 48
48 x 2 = 96
96 x 2 = 192
192 x 2 = 384
384 x 2 = 768
and continue for as long as you need to go....
Hope this helped!I WILL GIVE THE BRAIN LIST
Answers
Answer:
its g ;)
Step-by-step explanation:
trust me and please mark me brainliest the reason i know it is because well, i can barley explain it sorry have a nice day and hope this helps and please mark me brainliest thank you very much!
Solve 4[10x + 5) = 260
Answers
Answer:
sry dont know
Step-by-step explanation:
Answe
its x=6
Step-by-step explanation:
For what value of x does f(x) = -3? *
.
Answers
Answer:
3
Step-by-step explanation:
Can someone please help me solve these?
Answers
9514 1404 393
Answer:
(c) h(x) = (3x +4)(2x +1)
Step-by-step explanation:
The answer choices differ in the values they create for the last two terms of the trinomial. The last term (+4) is created by all of the choices except the first one.
The middle term (11x) is only created by the third choice:
(3x +4)(2x +1) = (3x)(2x) +(3x)(1) +(4)(2x) +(4)(1)
= 6x^2 +3x +8x +4
= 6x^2 +11x +4 . . . . matches the given h(x)
Tammy has a rectangular rug with an area of 21 square feet. The rug is 4 feet longer than it is wide. Which equations can be used to determine the length and the width of the rug
Answers
Answer:
21 = x( x+4)
Step-by-step explanation:
21 = x(x+4)
This equation is used because two sides are being multiplied by each other and the second one is four feet longer than the other one.
A pattern is made from four congruent squares.
The sides of the squares are parallel to the axes.
У.
B (27, 30)
Point A has coordinates (3, 2)
Point B has coordinates (27, 30)
Point C is marked on the diagram.
Work out the coordinates of C.
Answers
Answer:
The coordinates of C are (15,16)
Step-by-step explanation:
As we can see, point C lies half the distance of AB
So we can use the midpoint formula to get the coordinates of C
we have this as:
(x,y) = (x1 + x2)/2 , (y1 + y2)/2
(x1,y1) = (3,2)
(x2,y2) = (27,30)
Thus, we have
(x,y) = (3 + 27)/2, (30 + 2)/2
(x,y) = 30/2 , 32/2
(x,y) = (15,16)
Please help geometry people.
Answers
Answer:
Since QPR is an isoscelese triangle, QP and PR are congruent.
Therefore PR = 8
My guess for ST is z=1. So (5z = 5) and( 2z = 2). Then add 3 to 2 and you get 5. So ST = 5
Step-by-step explanation:
Hope this helps!!!
Please mark brainliest.
2,6,18,54 what is the 10th term of the sequence
Answers
Answer:
78
Step-by-step explanation:
I'm really good at these
Answer:
Step-by-step explanation:
This is a geometric sequence with common ratio 3.
10th term = (4th term)×3¹⁰⁻⁴ = 54×3⁶ = 39366
I need help with all the questions you see
Answers
Answer:
1/ -6=12+1/3a
Rewrite the equation as 12+1/3a=−6.
12+1/3a= −6
Combine 1/3 and a.
12+a/3= −6
Move all terms not containing a to the right side of the equation.
a/3= −18
Multiply both sides of the equation by 3.
3⋅a/3=3⋅ −18
Simplify both sides of the equation.
a= −54
2/ -6 =12 -1/3a
Rewrite the equation as 12−13a=−6.
12−1/3a=−6
Combine a and /13.
12−a/3=−6
Move all terms not containing a to the right side of the equation.
−a/3=−18
Multiply both sides of the equation by −3.
−3⋅(−a/3)=−3 ⋅−18
Simplify both sides of the equation.
a=54
Step-by-step explanation:
Will mark BRAINlIEST!!!
What is 2/7+ (−4/7)
Answers
Answer:
- 2/7
Step-by-step explanation:
+ and - becomes -
2/7 - 4/7 = - 2/7
PLEASE MARK BRAINLIEST!!! <3
Answer:
6/9 yeah that's it I looked It, up.
Step-by-step explanation:
The smith family went out for dinner the price of the meal was $39.85 the sales tax was 8.1% of the price of the meal the tip was 17% of the meal and the sales tax how much did the smith family pay for the meal including tax and tip PLEASE HELP ILL GIVE LOTS OF POINTS
Answers
9514 1404 393
Answer:
$50.40
Step-by-step explanation:
Adding the tax multiplies the amount by 1+8.1% = 1.081.
Adding the tip multiplies the amount by 1+17% = 1.17.
Then the amount with tax and tip is ...
$39.85 × 1.081 × 1.17 = $50.40
The Smith family paid $50.40 for the meal.
x^2+3x-24=
x
2
+3x−24=
\,\,3x+1
3x+1
Answers
Answer:
x=8 lol this is so easyndiewkkwwkwkwkw
Ryan spent 35% of his money on snacks at the concession stand. If he spent $4.20, how much money did he have before buying snacks?
Answers
Answer:
hi
Step-by-step explanation:
i know
PLEASE HURRY! I NEED HELP! THIS IS DUE TOMORROW! If you answer this I will give you brainliest!
Answers
Answer:
the answer is 3
Step-by-step explanation:
how i got this answer is........i did the round robin and i times 1 *5+4 and i got 9 so you will get 3/4 *9/5 and i got 27/9 and you will divided 9*3 and you will get 3 so that is the answer 3
i hope you did good on your test
find the prime factors of 16
Answers
Answer:
2 as the others factors has more than 2 factors
Sally makes $10 per hour and a $20 bonus.
Jerry makes $9 per hour and a $50 bonus.
Which set of equations describe Sally and Jerry's income?
Any help?
Answers
Sally: 10h + 20
Jerry 9h + 50
h = hours
In January, Mr Tan's students read 20 books. In Febuary, they read 15 books. What is the percent increase or decrease in the number of books they read?
A. 5% decrease
B. 15% increase
C. 25% increase
D. 25% decrease
Answers
Answer:
D. 25% decrease
Step-by-step explanation:
Since it's clear that they read less books to find how much it decreased we multiply 100 with 15 then divide it by 20
100 × 15 ÷ 20 = 75 this result shows a 25% decrease.
Answer these two questions for brainiest hurry:)
-10.2 + c = -8.14 solve this equation
also Tell whether -8 is a solution of - j - 7 > -1. Show your work and answer yes or no
Answers
Answer:
C=2.06
Step-by-step explanation:
-8.14+10.2=2.06
if x=3 what is the value of 3x
Answers
Answer:
The answer is 9.
Step-by-step explanation:
If x equals 3 and you have 3x its basically just 3 times 3 so you get 9 as the result.
I hope this helps you :D