The sum of three numbers is 12. The second number is equal to the sum of the first and third numbers. Twice the first number exceeds the second number by 4. Find the numbers.

Answers

Answer 1

Answer:

          the first number is 5           the first second is 6           the first number is 1

Step-by-step explanation:

x   - first number

2x   - twice the first number

twice the first number exceeds the second number by 4 so:

2x-4   -the second number

y - the third number

the second number is equal to the sum of the first and third numbers:

2x-4 = x + y

x + y = 2x - 4

  -x        -x

y = x - 4       - the third number

the sum of three numbers:

x + 2x-4 + x-4 = 4x - 8

The sum of three numbers is 12 so:

4x - 8 = 12

   +8       +8

  4x = 20

  ÷4    ÷4

   x = 5

2x-4 = 2•5 - 4 = 6

x-4 = 5 - 4 = 1

Check:

5+1 = 6

2•5 = 10,  10-4 = 6


Related Questions

Solve the following equation. -8(-x-5)=40+8x

Answers

Answer:

all the values

Step-by-step explanation:

[tex]-8(-x-5)=40+8x\\\\-x-5=\frac{40}{-8}+ \frac{8x}{-8} \\\\-x-5=-5-x\\\\-x-5=-x-5\\\\-x=-x-5+5\\\\-x=-x+0\\\\-x=-x\\[/tex]

[tex]-1(-x)=-1(-x)\\\\x=x[/tex]

so all the values for x are solutions

Answer:

40=40 so the equation is true

Step-by-step explanation:

-8(-x-5)=40+8x

8x +40 = 40 + 8x

if you cancle out the 8x on both sides then it will be 40 = 40

therefore the equation is true and have infinite soulutions

PLEASE HELP 15 POINTS


-8 - h = 2(-.5h + 4)

Answers

Answer:

h= -6

Step-by-step explanation:

-8-h=2(-.5h+4)

-8-h=h+4

-2h=12

h=-6

7-3x+2? whts the answer

Answers

7-3x+2
9-3x hope it helps

Answer:7-3x+2

9-3x

Step-by-step explanation:

List all of the factors of the number 48 in order least to gradest

Answers

Answer:

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. Prime factorization: 48 = 2 x 2 x 2 x 2 x 3, which can also be written 48 = 2⁴ x 3.

Hoped I helped

3,-10, -2, 13, 11 The mean is​

Answers

Answer:

The Mean is 3

Step-by-step explanation:

For future reference, here's how to solve the mean.

1.Add up all data values to get the sum

2.Count the number of values in your data set  and divide the sum by that number.

In this problem, there are 5 values, and all the values added together equals 15. Divide 15 by 5 and you get 3. The mean is 3.

3+(-10)+(-2)+13+11= 3

abcd is a rhombus. if AC is =8cm and BD =12cm find the area and perimeter of the rhombus ​

Answers

Answer:

AC= 8cm....(d1)

BD=12cm....(D2)

Step-by-step explanation:

BD=12cm....(D2)

Area of rhombus when diagonals are given=>

So According to the formula =>

Perimeter of rhombus formula when diagonals are given =

=> d1×d2

=> 8×12=96cm²

8x12=98 please please

Find the coordinates of the missing endpoint if B is the midpoint of AC.
C(5/3,-6),B(8/3,4)

Answers

Given :

[tex]C(\dfrac{5}{3},-6)\ , \ B(\dfrac{8}{3},4)[/tex] .

B is the mid-point of AC .

To Find :

The missing endpoint if B is the midpoint of AC.

Solution :

Let , coordinate of point A is ( h, k) .

So , mid-point B is given by :

[tex](\dfrac{\dfrac{5}{3}+h}{2},\dfrac{-6+k}{2})[/tex]

Comparing above point with [tex]B(\dfrac{8}{3},4)[/tex] , we get :

[tex]\dfrac{\dfrac{5}{3}+h}{2}=\dfrac{8}{3}\\\\h+\dfrac{5}{3}=\dfrac{16}{3}\\\\h=\dfrac{11}{3}[/tex]        [tex]\dfrac{-6+k}{2}=4\\\\k=14[/tex]

Therefore , the value of point A is [tex](\dfrac{11}{3},14)[/tex] .

Hence , this is the required solution .

What’s the answer for 4x+10=6x-20 ?

Answers

Answer:

4x+10=6x-20

4x-6x=-20-10

2x=-30

x=-30÷2

x= -15


Add one term to the polynomial expression 14x^19 - 9x^15 + 11x^4 + 5x^2 + 3 to make it into a 22nd degree polynomial

Answers

Given:

The polynomial is

[tex]14x^{19}-9x^{15}+11x^4+5x^2+3[/tex]

To find:

One term which is used to add in given polynomial to make it into a 22nd degree polynomial.

Solution:

Degree of a polynomial is the highest power of the variable.

Let,

[tex]P(x)=14x^{19}-9x^{15}+11x^4+5x^2+3[/tex]

Here, the highest power of x is 19, so degree of polynomial is 19.

To make it into a 22nd degree polynomial, we need to need a term having 22 as power of x.

We can add [tex]kx^{22}[/tex], where k is constant.

So add [tex]x^{22}[/tex] in the given polynomial.

[tex]P(x)=x^22+14x^{19}-9x^{15}+11x^4+5x^2+3[/tex]

Now, the degree of polynomial is 22.

Therefore, the required term is [tex]x^{22}[/tex].

The required polynomial to a 22nd degree is [tex]P(x)=x^{22}+14x^{19} - 9x^{15} + 11x^4 + 5x^2[/tex]

Given the polynomial function, [tex]14x^{19} - 9x^{15} + 11x^4 + 5x^2[/tex],, we are to add one term to the polynomial to make it into a 22nd-degree polynomial.

Note the highest and leading power of the variable of any function is the degree of such function.

To convert the given polynomial to a 22nd-degree function, we will simply add a variable term x with a degree of 22 to have:

[tex]P(x)=x^{22}+14x^{19} - 9x^{15} + 11x^4 + 5x^2[/tex]

Hence the required polynomial to a 22nd degree is [tex]P(x)=x^{22}+14x^{19} - 9x^{15} + 11x^4 + 5x^2[/tex]

Learn more here: https://brainly.com/question/2706981

At a school carnival 8 out of 20 tickets sold were early admission tickets. What percentage of the tickets were early admission tickets?

Answers

Answer:

40% were early admission tickets

Step-by-step explanation:

1.[tex]\frac{8}{20}[/tex]= 0.40 = 40%

i need help... my brain stopped working

Answers

Answer:

Well n=6

Step-by-step explanation:

This is because if 0=m you put that in the spot were m is and then that would be 0/5 which is 0 than you add 6 which 0+6 = well 6. Then you just plug your x's in to the equation (second part) but if you don't have a x you plug the y in instead.

hazal is paid $48 for 6hours work. how much is she paid for 4hours work?

Answers

Answer:

she get paid for 192 dollars for 4 hours

Match the following items by evaluating the other expressions for x=-2
HELP!

Answers

X0= 1

X-2= 1/4

X-1= -1/2

X1= -2

X2= 4

Quick ! What is 7/9 + 1/2 ?

Answers

Answer:

23/18

Step-by-step explanation:

Answer:

23/18 or 1 and 5/18

Step-by-step explanation:

7/9+1/2 can't be directly added, so you must find the lowest-common-denominator, which is 18 (multiplying the denominators gets you this number.) You then change the factors to have the common denominator of 18, which would be 14/18 and 9/18. From here, you just simply add those two numbers together.

i need to find the area .

Answers

Answer:

104 ft^2

Step-by-step explanation:

area of rectangle = 8 × 10 = 80

area of triangle = 1/2 × 6 × 8 = 24

∴total area = 104 ft^2

How many letters are needed to name a plane ?

Answers

Any amount? You don’t need a specific amount of letter in order to name a plane, that would be stupid... but then again, people do like putting limits on things. I wouldn’t be surprised if there was a limit.

Welp, hope this helps you

which number below is not an irrational number 46, 47, 48 ,49

Answers

Answer:

Undeterminable, as no answer choices are given.

Step-by-step explanation:

No answer choices have been given. However, you can always find this out. Rational numbers are always a fraction or repeating decimal. For example, 1/3 is rational, 2.3838383838 is rational, but 3.1415926535879 is irrational.

50+(2x +30)+ (2x +20) + X=360
how do I solve this problem?​

Answers

Answer:

x = 52

Step-by-step explanation:

50+(2x +30)+ (2x +20) + X=360

Combine like terms

5x+100 =360

Subtract 100 from each side

5x+100-100 = 360 -100

5x = 260

Divide by 5

5x/5  = 260/5

x = 52

Answer:

x=52

Step-by-step explanation:

50+(2x +30)+ (2x +20) + X=360

First combine like terms

50+30+20=100

2x+2x+x=5x

combine

5x+100=360

subtract 100

5x=260

divide by GCF (5)

x=52

Hope this helps! Plz award Brainliest : )

Find the Simple Interest on a loan of ₦60,000 at the rate of 3% for 3½ years.

Answers

Answer:

6300

Step-by-step explanation:

T = 3 1/2 = 7/2

R = 3% = 3/100

P = 60,000

I = PRT

I =60,000×3/100×7/2

I =6300

P= R-C/N (R)


help please fast​

Answers

Answer:

R = [tex]\frac{NP+C}{N}[/tex]

Step-by-step explanation:

Given

P = R - [tex]\frac{C}{N}[/tex] ( multiply through by N to clear the fraction )

NP = NR - C ( add C to both sides )

NP + C = NR ( divide both sides by N )

[tex]\frac{NP+C}{N}[/tex]

Enter the possible range of the measurement. Round to the nearest hundredth if necessary. 15 lb + 2%​

Answers

Answer:

17%

Step-by-step explanation:

Solve the equation: (3)/(7)-(2)/(5)x=5

Answers

Answer:

x = - [tex]\frac{80}{7}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3}{7}[/tex] - [tex]\frac{2}{5}[/tex] x = 5

Multiply through by 35 ( the lcm of 7 and 5 ) to clear the fractions

15 - 14x = 175 ( subtract 15 from both sides )

- 14x = 160 ( divide both sides by - 14 )

x = [tex]\frac{160}{-14}[/tex] = - [tex]\frac{80}{7}[/tex]  

is 6.34 the 4 repeating rational or irrational

Answers

Rational. Hope this helps

6.34 where 4 is repeating is rational no. because all the nos. which have repeating and terminating decimals can be rationalised.

What is an irrational no. ?

An irrational no. is a number which has non repeating and non terminating decimal part.

According to the given question 6.34 the 4 repeating rational or irrational.

6.34 where 4 is repeating can be written as

6.3[tex]\overline{4}[/tex] to write this decimal in fractional form we write 6 + (9's for every repeating digit and 0 for every non repeating digit in the denominator and we subtract the non repeating part from the whole decimal part).

∴ 6.3[tex]\overline{4}[/tex] can be written as 6 + (34-3)/90 which is

= 6 + 31/90

= (540 + 31)/90

= 571/90.

learn more about irrational numbers here :

https://brainly.com/question/17450097

#SPJ2

At the farmers marke, two pounds of peaches cost $4.20. How much will five pounds cost

Answers

10.50 should be your answer
If 2 pounds cost $4.20 then 1 pound costs $2.10
4.20+4.20+2.10 = $10.50

Chris can eat 10 hotdogs and Kelvin can only eat 5. How would you describe how much Chris eats compared to Kelvin? How about Kelvin compared to Chris?

Answers

Answer::Chris it’s double the amount of hotdogs as Kelvin

Kelvin is half as many hotdogs is Chris

Chris eats 2x

Kevin eats x

Pls halp due today >_<. Thank you

Answers

Answer:
Whole, integer, rational, real

(5 - i)(5 + I)=

Answer choices:
26
25i
24

Answers

Answer:

26

Step-by-step explanation:

We can use difference of squares:

(5 - i)(5 +  i) = 5^2 - i^2

i^2 = -1, so we have 25 - (-1) = 25 + 1 = 26

Answer:

26

Step-by-step explanation:

Ashley spent half of her weekly allowance at the movies. To earn extra money, Ashley’s parents let her clean the house windows for $8. What is Ashley’s weekly allowance if she endedupwith$14?

Answers

Answer:

$12

Step-by-step explanation:

First you make an equation-

Since she spent half of her allowance at the movies it should start with x/2. Then you add the extra money she made. This should equal $14.

Equation: x/2 + 8 = 14

Solve

x/2 + 8 = 14

Subtract 8 from both sides

x/2 = 6

Multiply each side by 2.

x= 12

What is another way to express five to the second power?

Answers

Answer: Squared because it equals to the 5 squared

Step-by-step explanation: Its because 5 to the second power is the same as 5 squared Hope this helped :)

Answer:

five squared

Step-by-step explanation:

The length and width of a stamp are most often expressed in milliliters. Why? - Math Workplace

Answers

Answer:

a stamp is a really small object and in order for it to be measured accurately you should use a smaller measure hence milliters

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