Answer:
a=30 , b = 0
Step-by-step explanation:
let the two numbers be represented as a and b
a + b = 30... eqn 1
a - b = 30 ...... eqn 2
we then add the two equations to get values for a and b
a + b + a - b = 30 + 30
a + b + a -b = 60
2a = 60 ( diivide both sides by 2)
a = 30
we then put value for a = 30 into any of the equations to get b
a + b = 30, 30 + b= 30
b = 30 -30 , b = 0
to confirm if the answers are correct, we insert the values for a and b in the two equations.
a + b = 30..... eqn 1, 30 + 0 = 30
a - b = 30 ...... eqn 2 , 30 - 0 = 30
Answer:
30-(-15)-40
=5
Step-by-step explanation:
You will the subtraction sign to open the bracket
30-(-15)-40
when - and - meet it turns to + (note only happens when opening a bracket)
this is ur result....30+15-40=5
thats how u get your 5
9514 1404 393
Answer:
- arithmetic: 130
- geometric: ±50
Step-by-step explanation:
<u>Arithmetic sequence</u>
The terms of an arithmetic sequence have common difference. If the missing term is x, then the difference between terms is the same:
x -250 = 10 -x
2x = 260 . . . . . . add 250+x to both sides
x = 130 . . . . . . . . divide by 2
The missing term of an arithmetic sequence is 130.
(the common difference is -120)
__
<u>Geometric sequence</u>
The terms of a geometric sequence have a common ratio. If the missing term is x, then the ratios between terms are the same:
x/250 = 10/x
x^2 = 2500 . . . . . . . multiply both sides by 250x
x = ±√2500 = ±50 . . . take the square root
The missing term of a geometric sequence is +50 or -50.
(the common ratio is ±1/5)
(4/7) / (10/21):
Dividing 2 fractions is equal to multiplying the first fraction by the inverse of the second: Inverse of fraction a/b is b/a, so the inverse of 10/21 is 21/10.
So (4/7) / (10/21) = (4/7) * (21/10)
Now you multiply the numerators between each others to get one numerator, and same thing for the denominators
(4/7) * (21/10) = (4*21) / (7*10) = 84/70.
Now we need to simplify the fraction we got. Both 84 and 70 can be divided by 14, so 84/70 = (84/14) / (70/14) = 6/5.
So the (4/7) / (10/21) = 6/5
Hope this Helps! :)