The sum of three number is 14. The sum of twice the first number, 4 times the second number, and 5 times the third number is 41. The difference between 7 times the first number and the second number is 51. Find the three
numbers.

Answers

Answer 1

Answer:

The numbers are 8 , 5 , 1

Step-by-step explanation:

Let the three numbers be x,y,z

Sum of three numbere is 14

x +y + z = 14 ---------------(I)

The sum of twice the first number, 4 times the second number, and 5 times the third number is 41.

2x + 4y + 5z = 41 -----------(II)

The difference between 7 times the first number and the second number is 51.

 7x -y = 51 ---------------(III)

Multiply equation (I) by (-5) and then add this wiht equation (II). Thus 'z' will be eliminated.

(I)*(-5)        -5x - 5y - 5z = -70

(II               2x + 4y + 5z = 41   {Now add}

                -3x   - y          = - 29  ------------(IV)

Multiply (III by (-1) and then add it with equation (IV)

(III)*(-1)        -7x + y = -51

(IV)             -3x - y = -29   {Now add}

                 -10x     = -80

                          x = -80 ÷ (-10)

x = 8

Plugin x = 8 in equation (III) and we obtain the value of y

7*8 - y = 51

56 - y = 51

     -y = 51 - 56

    -y = -5

   y = -5 ÷ (-1)

y = 5

Plugin x =8 and y =5 in equaiton (I)

8 + 5 + z = 14

    13 + z = 14

         z  = 14 - 13

 z = 1


Related Questions

I need help I have to get to 80%

Answers

Answer:

118

Step-by-step explanation:

Because if you add 34 and 28 you get 62 then if you minus 62 from 180 you get 118. Then you get 180 because all of the angles have to equal 180 degrees.

Given the following functions, evaluate each of the following:

Answers

Answer:

1. -6

Step-by-step explanation:

f(x)=x²-9

g(x)= x-3

1. (f+g)(2) =

(2²-9)+(2-3) = (4-9)+(2-3) = (-5)+(-1)= -6

Alyssa is enrolled in a public-speaking class. Each week she is required to give a speech of
greater length tharr the speech she gave the week before. The table below shows the
lengths of several of her speeches.
Alyssa's Speeches

Answers

Answer: this question search it up because i don't think and know if anyone knows this even i don't know so sorry

Step-by-step explanation:

The ratio of a basketball player's completed free throws to attempted free throws is 4 to 7. If she completed 12 free
throws, find how many free throws she attempted.
a 3 free throws
c. 21 free throws
b. 7 free throws
d. 4 free throws


B
С
D
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

21

Step-by-step explanation:

I noticed that 4 times 3 equals 12, which is the number of free throws she completed. I multplied 3 by 7 and got 21

mhm so basically if you this about it the number of letters in the rainbow is also the color of your dog WAKE UP WAKEUP WAKEUP and if your dog's color matches the blue sky the answer is b

are these lines parallel or perpendicular? 2y=-3x=5 and y=3/2-6

Answers

Answer:

perpendicular because they have a positive and negative slope meaning on a graph they would be crossing each other.

Corey deposits $3500 a bank which pays 3%
interest per year. How much money will John have in
his account after 10 years?

Answers

Answer:

35,000

Step-by-step explanation:

Answer:

Corey will have $4550.00 in is account after 10 years.

Step-by-step explanation:

This is simple interest. Here is the formula for simple interest.

[tex]A=P(1+r*t)[/tex]

A = Final Amount

P = Principal Amount

R = Interest Rate

T = Time

We are given values for P, r, and t. Lets solve for A.

To get 3 percent as a decimal divide it by 100. We get 0.03.

[tex]P=3500[/tex]

[tex]r=0.03[/tex]

[tex]t=10[/tex]

[tex]A=3500(1+0.03*10)[/tex]

[tex]A=3500(1+0.30)[/tex]

[tex]A=3500(1.30)[/tex]

[tex]A=4550[/tex]

I’ll give BRAINLIEST


Helen is N year old. Helen’s Brother is a year older than her.

a. Write n algebraic expression for the age of Helen’s brother
b. Find her brother’s age if Helen is age 12
C. Find her brothers age If Helen is x years old

Answers

Answer:

[tex] \fbox{ \sf A) Age of Helen’s brother = N+1} \\ \fbox{ \sf B) Age of Helen’s brother = 13 \: year \: old} \\ \fbox{ \sf C) Age of Helen’s brother = x+1} [/tex]

Step-by-step explanation:

Given:

Helen's age = N year old

Helen's brother = One year older than helen

To find:

a. Write n algebraic expression for the age of Helen’s brother

b. Find her brother’s age if Helen is age 12

C. Find her brothers age If Helen is x years old

Solution:

A)algebraic expression for the age of Helen’s brother = Helen’s age + 1 = N+1

[tex]\fbox{Age of Helen’s brother = N+1}[/tex]

B) if helen is 12 year old then, N = 12

substituting the value of N in above equation,

Age of Helen’s brother = N+1 = 12+1 = 13 y/o

[tex]\fbox{Age of Helen’s brother = \: 13 \: year \: old}[/tex]

C) if helen is x year old then, N = x

substituting the value of N in above equation,

Age of Helen’s brother = N+1 = x+1

[tex]\fbox{Age of Helen’s brother = x+1}[/tex]

Thanks for joining brainly community!

What is the value found using the linear​ approximation? ln(0.93) ≈

Answers

Answer:

I think its 0.9 I believe so

Use substitution to solve the system.
- 3x+y = 14
2x + 3y = -2

Х
5
?
y = 0

Answers

Answer:

x= -4 and y=2

Step-by-step explanation:

-3x+y=14 ...eqn 1

2x+3y= -2....eqn 2

from eqn 1

-3x+y=14

y=14+3x

substitute y=14+3x into eqn 2

2x+3(14+3x) = -2

2x+ 42+ 9x = -2

11x= -2-42

11x= -44

x = -4

substitute X = -4 into eqn 1 to get y

-3x+y=14

-3(-4) +y =14

12+y= 14

y= 14-12

y =2

Emily wants to put trim around a square window and measures 3 ft on each side. How many feet of t r i m does she need?

Answers

Answer:

12ft trim

Step-by-step explanation:

assuming that she wants to use the same size on each side (3ft) of the window, we know that the window is a square

and a square has 4 sides

3 + 3 + 3 + 3 = 12ft

She needs 12 ft trim

find the measure of angles 1, 2, 3, 4, 5 ,6 and 7

Answers

Answer:

angle1=70

angle2=65

angle4=115

angle7=45

angel6=45

angle5=45

Step-by-step explanation:

110+angle1 = 180

angle1 =180-70

angle1 = 70

115+angle2=180

angle2=180-115

angle2=65

angle4=115 because lines are parallel

angle1+angle2+angle7=180 because triangle

70+65+angle7=180

135+angle7=180

angle7=180-135

angle7=45

angel6=45

angle5=45

Super easy 7th grade math worth a lot of points

Answers

Answer:

you can find the answer in the given attachment

Step-by-step explanation:

1-P

2-G

3-T

4-O

5-S

6-E

7-D

8-C

9-A

In triangle ABC, what is the measure of A if a = 11, b = 13, and c = 7?
57.79°
49.62°
38.17°
32.21°
pls

Answers

Answer:

A= 57.79 degrees

B= 32.58 degrees

C= 89.63 degrees

Step-by-step explanation:

hope this helps!

Answer:

A. 57.79

Got it right on Plato

What is the median of the data set? -10, -5, -1, 0, 0, 3, 6, 8

A. 0
B. 0.125
C. 3
D. -1

Answer: A

Answers

Answer:

the anwer is a so 0

Step-by-step explanation:

the number that showed up the most is 0 so median is 0

Can someone tell me what I did wrong here

Answers

Answer:

no roots.

Step-by-step explanation:

1)   [tex]\sqrt{8x+16}=2-8; \ - \ correct;[/tex]

2)   [tex]\sqrt{8x+16}=-6; \ - \ correct;[/tex]

note, the value after operation 'square root' cannot be negative ('-6' is on the right side!), then

3) it means, the given equation has no real roots.

if 2x2 is 4 then why is 2+2 5????

Answers

Answer:

Simple it's not

Step-by-step explanation:

Answer:

wait.... 2x2 is 4 2 + 2 = 4?

Step-by-step explanation:

The price of an item has risen to $228 today. Yesterday it was $95. Find the percentage increase.

Answers

Answer:

140% increase

Step-by-step explanation:

Percent increase = [(final - initial) ÷ initial] · 100

[(228 - 95) ÷ 95] · 100

[133 ÷ 95] · 100

1.4 · 100

140

BRAINLIEST please if this helped!

Number two please asap

Answers

J

Step-by-step explanation:

both Rue and Zoe they earned that same amount after working for 4 hours as you see that both line both hit the point (4,24)

find the slope of the line (3,5) (7,3)

Answers

HOPE IT WILL HELP YOU

...............................................

A: x+90=180
B: 2x+90=180
C: x-90=180
D: Not enough info

Answers

the correct answer is c

Answer:

(B) 2x + 90 = 180 is an equation that could be used to find x.

Step-by-step explanation:

Observing at the triangle, we can see that..

- We are aware of two angel measurements, both of which are 45 degrees.

One triangle is exactly 180 degrees and if you add both 2 angel measurements from the triangles...

45 + 45 = 90 degrees

180 - 90 = 90 degrees

As a result, we know that x = 90. Now we find the equation. Lets look at equation B. ( 2x + 90 = 180 )

Step 1 : 90 should be subtracted from both sides.

2x + 90 − 90 = 180 − 90

2x = 90

Step 2 : Divide both sides by 2.

(When I use the symbol /, it signifies I'm dividing.)

2x/2  = 90/2

x = 45

Step 3: Examine your solution to see whether it is right.

2x + 90 = 180

2(45) + 90 = 180

90 + 90 = 180

This shows that 2x + 90 = 180 is an equation that could be used to find x.

Hope this helps! :D

A map of utah has scale 1cm :30 mi the southern border is about 285 mi long how long is the border on the map

Answers

Answer:

  9 1/2 inches

Step-by-step explanation:

The scale of a map is the ratio of map distance to represented distance. This can be used to write a proportion.

__

  map distance/represented distance = 1 in/(30 mi) = x/(285 mi)

where x represents the map length of the southern border.

Multiplying by 285 mi, we have ...

  x = (285 mi)(1 in)/(30 mi) = 9.5 in

The border is 9.5 inches on the map.

Please help me thank u!

Answers

Answer:

The odds of drawing a heart are 13:52

Explanation: A standard deck of card contains 52 card. There are 4 types of playing cards: clubs, diamonds, hearts and spades. Every type of them has 13 cards. How do u know that? Well just divide 52 by 4 and then you get 13.


I need a serious help!

Answers

I hope I can help you:)

Round your answer to the nearest hundredth.

Answers

Answer:

41.81°

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

The value of a car decreases linearly with time. The car was bought new for $62,000 and had a value of $41,000 after 6 years.

Answers

62000-41000=21000
21000/6=3500
3500= 5.64516129% of 62000

What is 5389 rounded off to the nearest 100?

Answers

Answer:

5400

Step-by-step explanation:

the 89 is higher then 5 so it would round the 3 up to a 4

Answer:

5389 rounded to the nearest 100 is 5400

Step-by-step explanation:

we round the number up to the nearest 100 if the last 2 digits  of the number are 50 an d over we round the number down to the nearest 100 if the last 2 digets are 49 and below

Use the quadratic formula to solve the equation 2k(k+5)= -25

Answers

So, we need to solve the quadratic equation from quadratic formula as per the question, but before starting, let's first recall that, for any quadratic equation of the form ax² + bc + c = 0, the discriminant is given by D = b² - 4ac, and the value of x is given by :

[tex]{\boxed{\bf{x=\dfrac{-b\pm \sqrt{D}}{2a}}}}[/tex]

Also, their are no real solutions of x i.e their are only imaginary values of x iff D < 0, equal and real roots iff D = 0 and real and distinct roots iff D > 0. So, let's convert the given equation to the standard form ax² + bx + c = 0 and then we will find the discriminant and then we will be solving for k ;

[tex]{:\implies \quad \sf 2k(k+5)=-25}[/tex]

[tex]{:\implies \quad \sf 2k^{2}+10k=-25}[/tex]

[tex]{:\implies \quad \sf 2k^{2}+10k+25=0}[/tex]

Now, on comparing this with the standard equation, we will get a = 2, b = 10 and c = 25, and then D = (10)² - 4 × 2 × 25 = 100 - 200 = - 100, now as D < 0, so their will be imaginary values of k, so now solving for k will yield by using the Quadratic Formula ;

[tex]{:\implies \quad \sf k=\dfrac{-10\pm \sqrt{-100}}{2\times 2}}[/tex]

[tex]{:\implies \quad \sf k=\dfrac{-10\pm 10\iota}{2\times 2}}[/tex]

[tex]{:\implies \quad \sf k=\dfrac{2(-5\pm 5\iota)}{2\times 2}=\dfrac{-5\pm 5\iota}{2}}[/tex]

[tex]{:\implies \quad \boxed{\bf{k=\dfrac{-5+5\iota}{2}\:\:,\:\: \dfrac{-5-5\iota}{2}}}}[/tex]

This is the required answer

Solve:........................
[tex] \frac{x}{3} + 4 = \frac{4x - 1}{5} [/tex]

Answers

Answer:

[tex] \frac{x}{3} + 4 = \frac{4x - 1}{5} \\ \\ \frac{x}{3} + \frac{12}{3} = \frac{4x - 1}{5} \\ \\ \frac{x + 12}{3} = \frac{4x - 1}{5} \\ \\ 3(4x - 1) = 5(x + 12) \\ \\ 12x - 3 = 5x + 60 \\ \\ 12x - 5x = 60 + 3 \\ \\ 7x = 63 \\ \\ x = \frac{63}{7} \\ \\ x = 9[/tex]

Which is greater -3 or -1/3 ?​

Answers

Answer:

-1/3

Step-by-step explanation:

because it is a negative number and closer to zero than -3 is making it greater, becuase it is closer to a positive number.

Answer:

-1/3 is greater than -3

-3 < -1/3

Estimate the sum of the decimals below by rounding to the nearest whole
number. Enter your answer in the space provided.
3.145
1.824
+ 7.769

Answers

Answer:

12.738

rounded to the nearest hundred is 12.74

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