Answer:
-11/20
Step-by-step explanation:
2 8 1
(0-— ÷ (0-—))+—
3 9 5
8
Simplify —
8/9
2 8 1
(0 - — ÷ (0 - —)) + —
3 9 5
Simplify —
2/3
2 -8 1
(0 - — ÷ ——) + —
3 9 5
2 -8
Divide — by ——
3 9
To divide fractions, write the divison as multiplication by the reciprocal of the divisor :
2 -8 2 9
— ÷ —— = — • ——
3 9 3 -8
(0--3/4)+1/5
Least Common Multiple:
20
Left_M = L.C.M / L_Deno = 5
Right_M = L.C.M / R_Deno = 4
3 • 5 + 4 -11
————————— = ———
20 20
-11/20
Answer:
5y+10
Step-by-step explanation:
The best way to rewrite this equation is to use the distributive property.
5y+10
Or, we can just use the commutative property to switch the numbers around, but I recommend the distributive.
5(2+y)
Hope this helps!
Start by assigning a variable name to the "number" -- call it x.
Now write out what they say:
"The product of 1/3 and the sum of a number and 3" -- that's 1/3 times x + 3, or (1/3)(x + 3) or (x + 3) / 3
It's "between negative one and five"
So that means:
-1 < (x + 3) / 3 < 5
So now solve this inequality. First multiply everything by 3.
-3 < x + 3 < 15
Subtract 3 from all the terms:
-6 < x < 12
So the answer is, all numbers between -6 and 12
Answer:
The two numbers are <em>16</em> and <em>26</em>.
Step-by-step explanation:
We can solve this question using 2 simultaneous equations based on the given information from the question.
Let number 1 = x
Let number 2 = y
xy = 416 -> ( 1 )
x + y = 42 -> ( 2 )
We can use either substitution or elimination to solve simultaneous equations. For this question, we will use substitution as it is the easier and shorter option.
Make y the subject in ( 2 ):
x + y = 42 -> ( 2 )
y = 42 - x -> ( 3 )
Substitute ( 3 ) into ( 1 ):
xy = 416 -> ( 1 )
x ( 42 - x ) = 416
42x - x^2 = 416
-x^2 + 42x - 416 = 0
- [ x^2 - 42x + 416 ] = 0
- [ x^2 - 16x - 26x + 416 ] = 0
- [ x ( x - 16 ) - 26 ( x - 16 ) ] = 0
- ( x - 16 ) ( x - 26 ) = 0
x = 16 -> ( 4 ) , x = 26 -> ( 5 )
Substitute ( 4 ) into ( 3 ):
y = 42 - x -> ( 3 )
y = 42 - ( 16 )
y = 26
Substitute ( 5 ) into ( 3 ):
y = 42 - x -> ( 3 )
y = 42 - ( 26 )
y = 16
Therefore:
x = 16 , y = 26
x = 26 , y = 16
The two numbers are 16 and 26.
