1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dusya [7]
2 years ago
14

There is a number that is three-fifths the total of the other number. When four is added to one of the numbers their sum will be

equal to the other number. There are two pairs of numbers that satisfy these descriptions. What are they?
Mathematics
1 answer:
gogolik [260]2 years ago
6 0

Answer:

-10, -6

6, 10

Step-by-step explanation:

Let the one number be x.

One number is 3/5 of the other number.

The numbers are x and 3x/5.

Add 4 to one number, the sum equals the other number.

There are two possibilities.

A) x + 4 = 3x/5

B) 3x/5 + 4 = x

Solve A)

5x + 20 = 3x

2x = -20

x = -10

Solve B)

3x + 20 = 5x

2x = 20

x = 10

According to A)

x = -10

3x/5 = -6

According to B)

x = 10

3x/5 = 6

Answer:

-10, -6

6, 10

You might be interested in
Given three balls and four boxes. Assume the boxes are numbered 1, 2 ,3 and 4.Place the ball one by one into the boxes randomly.
KengaRu [80]

Answer:

The value of E(X) is 1.56

Step-by-step explanation:

Number of Boxes=4

Number of Balls =3

If X is the number of box in which the balls are than the number of balls in the box are given as ((4-X)+1)^3

Number of ways such that all the balls are in the box number 4, no balls in the first three boxes is given as n(x=4)=1^3=1

Number of ways such that all the balls are in the box number 3,  is given as n(x=3)=n(x=2)-n(x=4)=2^3-1^3=7

Number of ways such that all the balls are in the box number 2,  is given as n(x=2)=n(x=1)-n(x=3)=3^3-2^3=19

Number of ways such that all the balls are in the box number 1,  is given as n(x=1)=n(x=4)-n(x=3)=4^3-3^3=37

So the total number of ways are

n(total)=n(x=4)+n(x=3)+n(x=2)+n(x=1)

n(total)=1+7+19+37=64

So Probabilities are given as

p(x=1)=n(x=1)/n(total)=37/64

p(x=2)=n(x=2)/n(total)=19/64

p(x=3)=n(x=3)/n(total)=7/64

p(x=4)=n(x=4)/n(total)=1/64

So the E(x) is given as

E(X)=\sum^{n}_{i=1}p_ix_i\\E(X)=\sum^{4}_{i=1}p_ix_i\\E(X)=x_1p_1+x_2p_2+x_3p_3+x_4p_4\\E(X)=1\times\dfrac{37}{64}+2\times\dfrac{19}{64}+3\times\dfrac{7}{64}+4\times\dfrac{1}{64}\\E(X)=\dfrac{25}{16}=1.56

So the value of E(X) is 1.56

5 0
3 years ago
Convert from fraction to percent 6/11
den301095 [7]
54.55% is the answer
6 0
3 years ago
Read 2 more answers
Use the arc length formula to find the length of the curve y = 4x − 5, −1 ≤ x ≤ 2. check your answer by noting that the curve is
professor190 [17]
Ok, here we go.  Pay attention.  The formula for the arc length is AL= \int\limits^b_a { \sqrt{1+( \frac{dy}{dx})^2 } } \, dx.  That means that to use that formula we have to find the derivative of the function and square it.  Our function is y = 4x-5, so y'=4.  Our formula now, filled in accordingly, is AL= \int\limits^2_1 { \sqrt{1+4^2} } \, dx (that 1 is supposed to be negative; not sure if it is til I post the final answer).  After the simplification we have the integral from -1 to 2 of \sqrt{17}.  Integrating that we have AL= \sqrt{17}x from -1 to 2.  2 \sqrt{17}-(-1 \sqrt{17} ) gives us 3 \sqrt{17}.  Now we need to do the distance formula with this.  But we need 2 coordinates for that.  Our bounds are x=-1 and x=2.  We will fill those x values in to the function and solve for y.  When x = -1, y=4(-1)-5 and y = -9.  So the point is (-1, -9).  Doing the same with x = 2, y=4(2)-5 and y = 3.  So the point is (2, 3).  Use those in the distance formula accordingly: d= \sqrt{(2-(-1))^2+(3-(-9))^2} which simplifies to d= \sqrt{9+144}= \sqrt{153}.  The square root of 153 can be simplified into the square root of 9*17.  Pulling out the perfect square of 9 as a 3 leaves us with 3 \sqrt{17}.  And there you go!
5 0
2 years ago
What type of number is -4n
Arlecino [84]

Answer:

It's a negative 4 and the variable n and can be used for anything or any equation.

6 0
3 years ago
Read 2 more answers
A number w added to 2.3 is more than 18
DanielleElmas [232]
2.3 + w > 18
-2.3 -2.3
w > 15.7
7 0
2 years ago
Other questions:
  • What the answer for <br> 12(x+3)=4(2x+9)+4x
    5·1 answer
  • Solve -3 = x/4 + 5 <br><br> A) -32 <br><br> B) 8<br><br> C) 32
    14·1 answer
  • What Does X Equal In This Algebraic Expression
    11·1 answer
  • Shawn earned $220 at his summer job. Shawn put 60% of his money in savings. How much money did Shawn put into savings?
    5·1 answer
  • A driver is going to drive 100 miles. if they drive the first 50 miles at 50 miles per hour, how fast do they have to drive the
    11·1 answer
  • on Tuesday a local hamburger shop sold a combined total of 318 hamburgers and cheeseburgers the number of cheeseburgers sold was
    9·1 answer
  • Find the perimeter of the rectangle whose lenth is 24cm and diagonal is 25cm​
    14·1 answer
  • Which correctly compares 13 and 13.0?
    11·1 answer
  • A birthday present is placed into a rectangular shoe-box. The box has the following dimensions: 3 inches by 7 inches by 8 inches
    10·1 answer
  • Solve for n: 0.22n = 6.6. <br><br><br>​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!