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Crazy boy [7]
3 years ago
15

The sum of two numbers is 100 and their difference is -20. What are the two numbers?

Mathematics
1 answer:
salantis [7]3 years ago
3 0

Answer:

x=40 and y= 60

Step-by-step explanation:

<u>step:1</u>

Let 'x' and 'y' are two numbers

given data the sum of two numbers is 100

x+y = 100......(1)

Given difference of two numbers are

x - y = -20 ......(2)

<u>Step :2</u>

solving the equation (1) and (2)

adding the equations (1) and (2)

x+y+x-y=100-20

cancelling 'y' terms are

2 x = 80

dividing "2" on both sides, we get

x = 40

<u>Step :3</u>

substitute x = 40 in equation (1)

x + y =100

40 + y = 100

subtracting "40" on both sides, we get

40 + y - 40 = 100 -40

y = 60

Final answer:-

The two numbers are x = 40 and y= 60

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-13 times the difference between a number and 60 is equal to the number plus -59
kipiarov [429]
Let n represent the number.
  -13×(n -60) = n +(-59)
  -13n +780 = n -59
  839 = 14n
  839/14 = n = 59 13/14

The number is 59 13/14.

_____
Check
  The difference between the number and 60 is
    59 13/14 -60 = -1/14
  -13 times that value is
    -13*(-1/14) = 13/14
  Compare that to the number plus -59
    59 13/14 -59 = 13/14 . . . . . the same value, as required.
8 0
3 years ago
Where v is the final velocity (in m/s), u is the initial velocity (in m/s), a is the acceleration (in m/s²) and s is the distanc
drek231 [11]

Answer:

C. 178−−−√ m

Step-by-step explanation:

Given the following :

v = final velocity (in m/s)

u = initial velocity (in m/s)

a = acceleration (in m/s²)

s = distance (in meters).

Find v when u is 8 m/s, a is 3 m/s², and s is 19 meters

Using the 3rd equation of motion :

v^2 = u^2 + 2as

v^2 = 8^2 + 2(3)(19)

v^2 = 64 + 114

v^2 = 178

Take the square root of both sides :

√v^2 = √178

v = √178

6 0
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At a sport banquett 8 guests are seated at each of the 15 tables how many guests (x) are seated at the table write an equation t
7nadin3 [17]

Answer:your answer is x/8=15

Step-by-step explanation:

I got it wrong and it showed this one is right

8 0
3 years ago
How do you write 64% as A fraction
slavikrds [6]

Answer:

16/25

Step-by-step explanation:

64% =

64/100 =

16/25

6 0
3 years ago
Read 2 more answers
Martha earned a gross pay of $1,215,60 last week. Using the fact that Social Security tax is 6.7% of gross pay, determine the
scoray [572]

Answer:

c) $ 75.37

Step-by-step explanation:

The correct question is:

Martha earned a gross pay of $1,215.60 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the

amount of Social security tax deducted from Martha's gross pay

a $7.54

b. $65.37

c. $75.37

d. $75.40

<u>ANSWER: </u>

<em>Martha's gross pay </em>= $ 1,215.60

<em>Social Security Tax </em>= 6.2%

<em><u>Calculate Social Security tax:</u></em>

6.2% of 1,215.60

6.2/100 x 1,215.60 = $ 75.37

Therefore, the correct answer is option c: $ 75.37

!!

6 0
3 years ago
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