The sum of three numbers is 17. The sum of twice the first number, 4 times the second number and 5 times the third number is 56. The difference between 7 times the first number and the second number is 41. Find the three numbers.

Answers

Answer 1

Answer:

x=7  y=8  z=2

Step-by-step explanation:

The Sum Of Three Numbers Is 17. The Sum Of Twice The First Number, 4 Times The Second Number And 5 Times
Answer 2

The value of all three numbers will be 7, 8, and 2  for the given condition.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the first number is x, the second is y and the third is z.

The sum of three numbers is 17 ⇒

x + y + x = 17

The sum of twice the first number, 4 times the second number and 5 times the third number is 56 ⇒

2x + 4y + 5z = 56

The difference between 7 times the first number and the second number is 41 ⇒

7x - y = 41 ⇒ y = 7x - 41

By substituting this y into the above equation.

A newly formed equation will be

-40x - 5z = -290

30x + 5z = 220

By solving them x = 7 and z = 2 by that y = 8

Hence all three values will be 7,2 and 8.

For more about the equation

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Related Questions

Consider the triangle congruence statement.

CAT is congruent to DOG.

Complete each congruence statement by only writing the correct letters.

Please help! I’ll give brainliest!!

Answers

TC is congruent to GD
Angle DGO is congruent to angle TCA
Triangle ACT is congruent to triangle ODG
Hope I helped:)

Answer:

Step-by-step explanation:

the trick is to draw 2 triangles and label them CAT and DOG yet be careful to line them us the same and to write in the same direction (clockwise or counter clockwise)

       G.                     T

       Δ.                     Δ

   D.     O.            C.    A

now we see

TC≅GD

∠DGO∠CTA

ΔACT≅ ODG

one side of an equilateral triangle is 12cm. find its area​

Answers

triangle area formula- 1/2bxh
12/2=6
6x12=72
in a equilateral triangle, all sides are equal.
hence each slant side = 12cm
to find the height of the triangle :
use Pythagoras’ Theorem (A^2 + B^2 = C^2)
A = height
B = 6
C = 12
A^2 = 108
A = 10.392... (5s.f.)

area = ½ x base x height
= ½ x 6 x 10.392...
= 31.176
= 31.2 (3s.f.)

add 2 to 20 then multiply by 3

Answers

Answer:

that would be 7.33

Step-by-step explanation:

sorry it's 66

I divided 3 by 22 instead of multiplying

Answer:

66

Step-by-step explanation:

2+20=22

22x3=66

The table represents an inverse variation. What is the value of p?

Answers

Answer: 1.5

I have to have 20 characters but hope this helps :)

Value of [tex]p[/tex] is [tex]\frac{3}{2}[/tex]

In inverse variation, as one number increases, the other decreases and as one number decreases, the other increases.

That is [tex]xy=k[/tex] where [tex]k[/tex] is a constant.

Put values of [tex]x,y[/tex] as [tex]3,5[/tex] respectively.

[tex]3(5)=k[/tex]

  [tex]15=k[/tex]

So, [tex]xy=15[/tex]

Now put values of [tex]x,y[/tex] as [tex]10,p[/tex] respectively.

[tex]10p=15[/tex]

   [tex]p=\frac{15}{10}[/tex]

      [tex]=\frac{3}{2}[/tex]

For more information:

https://brainly.com/question/11592410?referrer=searchResults

Please help I will mark brainliest if correct!!

Answers

Answer:

C. 12

Step-by-step explanation:

Answer:

I think that its C because...

Step-by-step explanation:

it is the only answer that makes any sense over the other answers.

Hope this helps :)

The equation y=5+0.5x represents the cost of getting a car wash and using the vacuum for x minutes. What is the y-intercept?

Answers

Answer:

The y intercept is 5. Usually, this is the number that is by itself with no variable by it. Ex: y= 5x + 4. 4 would be the y intercept.

Step-by-step explanation:

A cylinder has a radius of 4 mm and a height of 6 mm. What is the volume to nearest whole number? Use 3.14 for pi.

Answers

Radius=4mm

Height=6mm

Volume of cylinder = pir²h

3.14*4*4*6

= 301.44mm³

Describe two reasons to use the Internet responsibly Explain what might happen if the Internet use policies were broken at your school

Answers

Answer:

1- Using the internet responsibly can help you prepare for the future, when you are in college and are working hard to save money. 2-Internet usage abilities are granted to you to help you learn easier, do not abuse those privileges or they can and will be taken away.

If in my school the internet use policies were broken, any kid can access restricted sites and potentially can get an undesired virus or malware. ... It would be dangerous to give away any personal information on the internet because someone could attempt to find you, your family, your friends, your co-workers, etc.

Step-by-step explanation:

Here’s a simple question...I’m doing so sort of algebra and was wondering....on the same number that has both a exponent and coefficients what do you to first

Answers

Um ok exporters and coefficients are really different things.But you can follow PEMDAS (parentheses exponents multiplication/division addition/subtraction) si exponents
Parentheses exponents algebra stuffs

Guess my favorite movie for brainliest no hints 50 points and brainliest to who gets it but only the first two people to guess are the contestants

Answers

Answer:

planet of the apes?

just a little confused , please help me :)

Answers

Answer:

a) (x + 8) (x + 2)

b) (x + 4) (x + 3)

c) (x + 12) (x + 1)

Step-by-step explanation:

First find the multiples of coefficients of a and c (ax² + bx + c)

Then rearrange it to make it add/subtract to make the number in the middle (b in bx).

a). Look at the multiples of 16.

4 x 4 .... 4 + 4 ≠ 10

8 x 2 .... 8 + 2 = 10

1 x 16 .... 1 + 16 ≠ 10

The factors of 16 that add up to 10 are 8 and 2.

Hence we write it like (x + 8) (x + 2), and to check this you can expand it.

Same goes for b and c

b). Multiples of 12 that add up to 7 are 3 x 4 ===> (x + 3) (x + 4)

c). Multiples of 12 that add up to 13 are 1 x 12 ===> (x + 12) (x + 1)

True or False- You can use the distributive property to help you expand and
factor expressions.

Answers

Answer:

true

Step-by-step explanation:

find the measure of the angle indicated in bold
Please help! Quiz tomorrow

Answers

Answer:

they are alternate interior angles and because we have parallel lines these two angles are equal

these angles are equal to 115°

Step-by-step explanation:

57x+1=56x+3

57x-56x=3-1

x=2

57x+1=57*2+1=114+1=115°

56x+3=56*2+3=112+3=115°

10x + 5x – 3 = 2(2x – 1)

Answers

Answer:

The answer is x = 1/11

Step-by-step explanation:

hope this helps

10x + 5x – 3 = 2(2x – 1)

10x+5x-3=4x-2

15x-4x=-2+3

11x=1

To find x divide both sides by 11

11x/11=1/11

x= 1/11

Answer:

[tex]\frac{1}{11} or 0.0909090909090[/tex]

Step-by-step explanation:

Add similar elements: 15x-3=2(2x-1)

Expand 2(2x-1): 4x-2

Add 3 to both sides

Simplify 15x=4x+1

Subtract 4x from both sides

Simplify 11x=1

Divide both sides by 11

Simplify [tex]\frac{1}{11} or 0.0909090909090[/tex]

:)Hope You Enjoy:)

find the difference (20m+3)-(7m-5)

Answers

Answer:

13m + 8

Step-by-step explanation:

Distribute

(20m + 3) - 1(7m - 5)

(20m + 3) - 7m + 5

Eliminate redundant parentheses

(20m + 3) - 7m + 5

20m +  3 - 7m + 5

Add the Numbers

20m +  3 - 7m + 5

20m + 8 - 7m

Combine Like Terms

20m + 8 - 7m

13m + 8

Solution

13m + 8

The difference of the given equation i.e. (20m+3)-(7m-5)  should be considered as the 13m + 8.

Calculation of the difference:

Since the equation is (20m+3)-(7m-5)

So,

= 20m + 3 - 7m + 5

= 13m  + 8

Hence, The difference of the given equation i.e. (20m+3)-(7m-5)  should be considered as the 13m + 8.

Learn more about an difference here:  https://brainly.com/question/13793217?referrer=searchResults

Please do it for me

Answers

Answer:

1-6 2-12 3-18 4-24. 10-16 20-32 30-48

Step-by-step explanation:

what is 36-8z by factoring

Answers

Answer:

z=9/2

Step-by-step explanation:

36-8z=0

36=8z

z=36/8

z=9/2

What is StartFraction 11 Over 12 EndFraction divided by one-third? A fraction bar labeled 1. Under the 1 are 3 boxes labeled one-third. Under the 3 boxes are 4 boxes containing one-fourth. Under the 4 boxes are 12 boxes containing StartFraction 1 Over 12 EndFraction.

Answers

Answer:

11/12 ÷ 1/3 = 2 and three-fourths

11/12 ÷ 1/3 = 2 3/4

Step-by-step explanation:

What is StartFraction 11 Over 12 EndFraction divided by one-third? A fraction bar labeled 1. Under the 1 are 3 boxes labeled one-third. Under the 3 boxes are 4 boxes containing one-fourth. Under the 4 boxes are 12 boxes containing StartFraction 1 Over 12 EndFraction. 2 and one-fourth 2 and three-fourths 3 and one-third 3 and two-thirds

Given:

11/12 ÷ 1/3

= 11/12 × 3/1

= 33 / 12

= 2 9/12

= 2 3/4

= 2 and three-fourths

11/12 ÷ 1/3 = 2 3/4

Answer:

b. 2 3/4

Step-by-step explanation:

The number $f$ of miles a ship is from its destination $x$ hours after starting a voyage is given by $f\left(x\right)=420-30x.$ The number $f$ of miles a submarine is from its destination $x$ hours after leaving port is shown in the graph below. State the distance and length of time of each voyage.

Answers

Your answer should be 12.56

Simplify sqSimplify i31.

Answers

simplify aqSimplify i31

Jeff paid a flat fee of $269.50 for a year's worth of vet visits for
his 4 cats. He made 14 visits during the year. What was the
average cost per visit?

Answers

Answer:

Step-by-step explanation:

269.50 divided by the 14 visits equals the average cost for one visit, or $19.25... which is honestly a fantastic deal lol

All I gotta say is DANG THATS A CHEAP VET FOR 4 CATS

Help me please will Mark answer Brainy-est

Answers

Answer:

1. C' ( -12, 1 )

  B' ( -7, -2 )

2.

Original Coordinates = R ( -8, 4 )

                                      O ( -2, 4 )

                                      P ( -2 , 8 )

                                      E ( -8, 8 )

(A) Reflected (y = x)   = R ( 4, -8 )

                                     O ( 4, -2 )

                                     P ( 8, -2 )

                                     E ( 8, -8 )

(B) Reflected (y = -x)  = R ( -4, 8 )

(not sure if it's               O ( -4, 2 )

supposed to be after    P ( -8, 2 )

previous reflection)       E ( -8, 8 )

Step-by-step explanation:

1. C ( -6, 2 ) → ( -6 - 6, 2 -1 ) → ( -12, 1 )

  B ( -1, -1 ) → ( -1 - 6, -1 - 1 ) → ( -7, -2 )

2. Reflecting over y = x line --- ( x, y ) → ( y, x )

   Reflecting over y = -x line --- ( x, y ) → ( -y, -x )

What is the equation of this line in slope-intercept form to 2x+y=−19

Answers

Answer:

y = -2x - 19

Step-by-step explanation:

Slope-intercept form: y = mx + b

2x + y = -19

Subtract 2x from both sides;

y = -2x - 19

Answer:

-2

Step-by-step explanation:

makayla has 90 minutes to answer 36 questions on a school survey. how many minutes per questions

Answers

Answer:Makayla has 2 minutes and 30 seconds for each question

Step-by-step explanation:

90/36=2.5=2min 30sec

Anastasia is grocery shopping with her father and wonders how much shopping is left to do. "We already have 60% percent of the items on our list," her father says. Anastasia sees 12 items in the cart.
How many grocery items are on the list?

Answers

Answer:

Your answer should be 20

Step-by-step explanation:

Annie buys a picnic table priced at $407. If the sales tax is 6%, what will be the total cost including tax?

The answer should display money. If needed round.

Answers

Answer:

-$407

-tax:6%

407 times 6 divided by 100

413/100

4.13

407 plus 4.13

$411.13

3 x (4 + 7) - * 4) + (7)

Answers

Answer:

22 assuming the * was a mistake im not sure if u meant the * if u did mean in what does it mean

Step-by-step explanation:

Consider a diving board that is 10 feet above a pool. If the ladder is 5 feet away from the base of the diving board, approximately how tall is the ladder? A.9 ,B.11 ,C.15 ,D.17

Answers

Answer: 15 feet

Step-by-step explanation:

From the question, we are informed that a diving board is 10 feet above a pool. Since the ladder is 5 feet away from the base of the diving board, to calculate how tall is the ladder is, we subtract -5 from 10. This will be:

= 10 - (-5)

= 10 + 5

= 15 feet

The answer is option C.

please help and answer

Answers

Answer:

so the answer is B,D,E,F

and question a is B i guess

If p(4) = 0 for a polynomial function, what is at least one factor of p(x)?

Answers

Answer:

0 i think

Step-by-step explanation:

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