the sum of three numbers is 182, the second is 6 times bigger than the first and the third is 14 times bigger than the second number, what are those numbers?​

Answers

Answer 1

Answer:

The numbers are [tex]2,12,168[/tex]

Step-by-step explanation:

Let the numbers be [tex]a,b,c[/tex]

We have

The sum of three numbers is [tex]182[/tex]

[tex]a+b+c=182-----eqn1[/tex]

The second is [tex]6[/tex] times bigger than the first

[tex]b=6a-----eqn2[/tex]

The third is [tex]14[/tex] times bigger than the second number

[tex]c=14b-------eqn3[/tex]

Substituting in eqn 3

[tex]c=14\times 6a=84a ----eqn4[/tex]

Substituting in eqn 1

[tex]a+6a+84a=182\\\\91a=182\\\\a=2[/tex]

Substituting in eqn 2

[tex]b=6\times2=12[/tex]

Substituting in eqn 3

[tex]c=14\times12=168[/tex]

The numbers are [tex]2,12,168[/tex]

Answer 2

The first number is a , the second number is b , the third number is c

( 0 < a < b < c )

The sum of three numbers is 182

⇒ a + b + c = 182    (1)

The second is 6 times bigger than the first

⇒ b = 6a                 (2)

The third is 14 times bigger than the second number

⇒ c = 14b = 14.6a = 84a               (3)

(1),(2),(3): ⇒ a + 6a + 84a = 182

              ⇒ 91a = 182

              ⇒ a = 2

              ⇒ b = 6a = 6.2 = 12

              ⇒ c = 14b = 14.12 = 168

Those numbers are 2 , 12 , 168

ok done. Thank to me :>


Related Questions

1) 2x – 3y - z = 7
3x + 5y - 3z = -2
4x – y + 2z = 17
When this system of equations is solved, what is the value of x?

Answers

Answer:

x = 3

Step-by-step explanation:

2x - 3y - z = 7 (equation 1)

3x + 5y - 3z = -2 (equation 2)

4x – y + 2z = 17 (equation 3)

(1) * 3 : 6x - 9y - 3z = 21 (1)'

(1)' - (2) :  3x - 14 y = 23 (equation 4)

(1) * 2 : 4x - 6y - 2z = 14 (1)"

(1)" + (3) : 8x - 7y = 31 (equation 5)

(5)*2 : 16x - 14y = 62 (5)'

(5)' - (4) : 13x = 39

              x = 3

So thus, x = 3 in this system of equations, you can plug x back into equation 4 or 5 to find y and then plug x and y back into equations 1, 2, or 3 to find z

im having a mental breakdown can someone please just do this for me

Answers

the slopes of the original function y = |x| are m = 1 and m = -1 (m is the variable used to represent slope).

when you add a coefficient (number) in front of |x|, it will either make the slopes steeper or more flat. the larger the value of the coefficient, the steeper the slope will be (vice versa for a coefficient smaller than 1, which would make the slope more flat than the parent(original) function).

because these are absolute value functions, they will have two slopes. one slope for the end going up from left to right, and one for the end going down from left to right. this means that one slope must be positive and the other slope must be negative for each function.

with this in mind, the slopes of y = 2|x| are m = 2 and m = -2. the coefficient of 2 narrows the function by a factor of 2 (it is twice as narrow as the parent function). the same rules apply to y = 4|x| with the slopes of this function as m = -4 and m = 4 (it is 4 times narrower than the parent function).

with the fraction coefficients, the function is being widened. therefore, the slopes of y = 1/2 |x| are m = -1/2 and m = 1/2. the slopes of y = 1/5 |x| are m = -1/5 and m = 1/5.

Answer:

it only changes the magnitude.

for any general a let f(x) be =a|x| , a>0

so for any x say ±3 your function will throw out a×3.

what are the next three terms in the sequence below? 2, 5, 10, 50, ___, ___, ___

Answers

Answer:

2, 5, 10, 50, 55, 275, 280

Step-by-step explanation:

hope this heled you.. :)

On Monday, 412 students went on a trip to the zoo. All 8 buses were filled and 4
students had to travel in cars. How many students were in each bus?
Let s = number of students on each bus?

Answers

Answer:

51

Step-by-step explanation:

Let x be the number of people in a bus. Since we have the total and the people in the car in addition to the number of busses, we can write an equation like this:

total students = (number of people in a bus) * (number of busses) + leftovers

Our equation we come up with is:

412 = s * 8 + 4

Solve

s*8=408

s=51

One serving of ice cream has 320 calories. If there are 6 servings in the container and you ate of the container, how many calories did you eat?

Answers

Answer: You ate 1920 calories

Step-by-step explanation:

It’s pretty simple,

all you have to do is multiply 6 by 320.

this then gets you 1920

Answer:

1920 calories

Step-by-step explanation:

6servings*320cal/servings = 1920cal (servings cancel)

negative three eights times a number,z, equals 12.

Answers

Answer:

the answer is 32

Step-by-step explanation:

3/8=0.375

0.375 x 12 =32

Answer:

-0.5

Step-by-step explanation:

If we reverse the math, 12/ -3/8=-0.5, therefore -0.5 is the answer. Please mark brainliest if possible

From a can containing 10 liters of milk, mrs menon used 3.8 litres in the morning and 2.3 litres in the evening how many hectolitres of milk is in the can?


Plz write the steps cause i want to understand it bcuz tomorrow is my exam

Answers

Answer:

0.039 hectolitres are left in the can

Step-by-step explanation:

One hectolitre equals 100 liters

The can:

10-3.8-2.3=3.9 liters

In hectolitres:

3.9/100 = 0.039

Hope this helps

19=5+7x i need explanation it’s two step equation btw

Answers

Answer:

x = 2

Step-by-step explanation:

subtract both sides by 5. left with 14=7x. divide both sides by 7. x=2

Answer:

[tex]\boxed{\sf x=2}[/tex]

Step-by-step explanation:

[tex]\sf 19 =5+7x[/tex]

First, let's swap sides so that all variable terms are on the left hand side.

[tex]\sf 5+7x=19[/tex]

Subtract 5 from both sides:

[tex]\sf 7x=19-5[/tex]

Subtract 5 from 19:

[tex]\sf 7x=14[/tex]

Divide both sides by 7:

[tex]\sf \cfrac{7x}{7} =\cfrac{14}{7}[/tex]

[tex]\sf x=2[/tex]

_____________________________________

What is another word for change in y

Answers

When finding the slope of real-world situations, it is often referred to as rate of change. change in y Rate of change = change in x change in height change in time The average rate of change or a rider between 0 and 5 seconds is —24 ft/s. magnitude relation. Another synonym is "velocity".

Hope this helps

What is the degree of 5x^5+8x^2+2x-3x^9-8x^4-4x^5

Answers

Answer:

9

Step-by-step explanation:

It is the greatest exponent.

10/11 x 3/7 x 1/2 Multiply. Write your answer as a fraction in the simplest form.

Answers

ffhhuff fffchuyrx we’re

help ASAP please hmmmm ​

Answers

Answer:

the 3rd and 4th one r correct

Step-by-step explanation:

hope this helps!!!!

can someone please help me with this

Answers

Answer:

a or b.

Step-by-step explanation:

Please not answer just for points! I really need help~

Answers

Answer:

All I know is that it is the   Last  Option

Step-by-step explanation:

I did most of this mentally but I can kinda help you out :D

original R: (-5,-5)     New R: (-11,-11)

To go back to original R: (-11+6, -11+6)

original U: (-5, 1)        new U: (1,7)

HOPE THIS HELPEDDDD :333

divide x² +x +1 by x+ 1 by long division method​

Answers

Answer:

I hope it will help you.

10 < 2 - d solve for d

Answers

10 < 2 - d

10 - 2 > -d

8 > - d. When dividing with negative the sign switches so..


d > -8

Hope this helps!
Brainliest is much appreciated!

Answer:

d< -8

Step-by-step explanation:

10 < 2 -d

Add d to both sides: 10 + d < 2 -d + d

Simplify: 10+d<2

Subtract 10 from both sides: 10 + d - 10 < 2 - 10

Simplify: d < -8

Sorry if I'm wrong or didn't explain right. I tried my best. Enjoy your answer and have a great day. Thanks :)

Milan needs to read 3 novels each month.
Let N be the number of novels Milan needs to read in M months.

Write an equation relating N to M. Then use this equation to find the number of novels Milan needs to read in 17 months.

Answers

Answer:

N=3M, 51

Step-by-step explanation:

The total number of novels is equal to 3 x Months, For every month, Milan reads 3 books, so for 17 months, 17 x 3 = 51, So N = 51

equation: 1/3n=m

answer: 51 novels

1/2(10p-7q) if p=9 and q=2

Answers

Answer:

38

Step-by-step explanation:

1/2(10p-7q)

1/2(10(9)-7(2))

1/2(90-14)

1/2(76)

76/2

38

HELP PLZ I NEED THIS DONE ASAP

Answers

[tex]\text{Given that,}\\\\y^2 +9y +3 \\\\\text{when}~ y = -2,\\\\(-2)^2 +9(-2) +3 = 4-18+3 = 7 -18 = -11,[/tex]

pls answer don’t scam

Answers

Answer:

y=x

step by step:

graph equation is y=mx+c

y intercept (c) is 0

gradient (m) is 1

gradient is represented as (m), so the equation is just y=1x, simplified-> y=x

Answer:

  money = 2×tickets

Step-by-step explanation:

For 1 ticket sold, $2 is collected. for 8 tickets sold, $16 is collected. The relationship appears to be proportional with a constant of proportionality of $2 per ticket.

The axes are labeled "money" and "tickets", so we can write the equation ...

  money = 2×tickets . . . . . where money is in dollars

__

If you like, you can use y to represent dollars collected, and x to represent tickets sold. Then the equation is ...

  y = 2x

will give brainliest
Evaluate.

(−16+0.6(−13)+1)2

What is the value of the expression?

Enter your answer as a simplified fraction in the box.

Answers

-45.6 is the answer if you evaluate

Robby took his dog to the pet grooming store. The service costs $30. He tips the groomer 25%.
How much in total does the groomer get?

CAN SOMEONE SHOW ME HOW TO DO THE WORK?

Answers

Answer: $37.50

Step-by-step explanation:

You multiply the $30 by the percentage tip so 25% in this case, first make it a decimal that would be 0.25. 30*.25=7.50 then you add the 7.50 to the 30 which is gives you the $37.50

Answer:

$37.50

Step-by-step explanation:

25% of 30 is 7.50   $7.50+$30=$37.50

This is for the real ones- find the missing side x. Giving brainliest.

Answers

Answer: The answer is X equals 10 2/3.

Explanation: This is a proportion. We see that the right rectangle when turned to the right is proportional to the left rectangle. On the left rectangle, the smaller side is 6 ft, and the larger side is 16 ft. On the right rectangle, the smaller side is 4 ft. 6 ÷ 1.5 = 4, therefore 16 ÷ 1.5 = 10 2/3.

Does anybody know how to does this pleaseee helppppp. The first 2 my teacher did them for me but I’m still confused pleaseee helpppp

Answers

Answer:

below

Step-by-step explanation:

A triangle can only be a triangle if the two shortest sides add up to be greater than the longest side.

For example on the first one, the segments 1 2 and 3 will not make a triangle as 1 + 2 = 3 and if the two smallest sides of a triangle are equal to the longest side it will not be a triangle at all.

So to make this easy, out of the three numbers given: add the two smallest numbers. This number has to be greater than the third number given, and it cannot be equal.

For question three: 3+9 = 12

And 12 is greater than 11, therefore this can make a triangle.

20x+10x-8=0 solution set of equation

Answers

1. Combine like terms (30x -8 =0)
2. Isolate the variable (30x =8)
3. Divide both sides by the coefficient (x= 8/30)
4. Simplify (x= 4/15)

Answer:

0.2666666666

Step-by-step explanation:

20x+10x-8=0

first of all, you will +8 on both sides so there are no negative numbers onany side

20x+10x=8

now gather everything up

30x=8

divide everything by 30 now to get the value of 1x

30x/30=x

8/30=0.2666666666

33 + 55 = __ (3+5)
Help me with this

Answers

Answer:

11 I think and hi how are u ::):):):):):):):):):):):):):

11 I’m pretty sure I got it right

I need Unit 3 parallel and perpendicular lines Homework 5 slope of lines it’s due today!

Answers

Answer:

1. 4/2

2. -3/5

3. 2/2

4. undefined

5. -5/1

6. zero

7. -4/5

8. 1

9. 0

10. 3/4

11. undefined

12. -9/4


The required slope for the lines is given below.

Given that,
Pot of line and points on the lines are given, we have to determine the slopes of the lines.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Slopes of the line can be given as,
m = [y₂ - y₁ ] / [x₂ - x₁]
for points, (-1, -11), (-6, -7)
m = -7 + 11 / -6 + 1
m = -4/5

Similarly,
Slopes of the line can be calculated as
1.) 4/2  2.) -3/5  3.) 2/2
4.) not defined because the denominator becomes zero or perpendicular to x-axis.
5.) -5/1
6.) zero  because the line is parallel to the x-axis
7.) -4/5      8.) 1   9.) 0  10.) 3/4
11.) not defined because the denominator becomes zero or perpendicular to the x-axis.
12.) -9/4

Thus, the required slope for the lines is given above.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ2


Help me, please! I'll give 20 points.

Answers

Answer:

A = 97.5

Step-by-step explanation:

Since A & B are supplementary, the general equation would be:

180 - 82.5 = A

A = 97.5

Zack buys some potatoes from a store. The potatoes cost $6.78 for 3 pounds. He wants to buy more vegetables, but at the same price per pound as the potatoes. Which of the following vegetables could Zack buy?

Answers

Answer:

well we dont know other vegis are going for each pound is 2.26 but any vegtable thats is going 2.26 per pound works  

Step-by-step explanation:

A 12 ounce Starbucks latte costs $3.36. What is the constant of proportionality that relates the cost in dollars, y, to the number of ounces, x, in a Starbucks latte?

Answers

Answer:

Y = X times 0.28

Step-by-step explanation:

1. You set it up as a proportionality

12/1 and 3.36/x

The x stands for how much money it takes to get 1 ounce

2. You do the old man line.

12 times x = 3.36 times 1

12x = 3.36

3. Now you divide 3.36 by 12

3.36 divided by 12

.28

4. You insert 0.28 into the problem

12 times 0.28 = 3.36

X = 0.28

So 1 ounce costs $0.28

So Y = X times 0.28

Answer:

Step-by-step explanation:

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