c/7 = 6 1/7 ⇒ c = 43 ⇒ 43/7 = 6 1/7
Convert mixed fraction into a simple fraction
6 1/7 ⇒ (6 * 7 + 1)/7 = 43/7
c/7 = 43/7
proportionality:
a/b = c/d where ad = bc
a = c
b = 7
c = 43
d = 7
ad = bc ⇒ c7 = 7*43 ⇒ c7 = 301 ⇒ 7c/7 = 301/7 ⇒ c = 43
The small number is 2.
The large number is 3.
<u>Step-by-step explanation:</u>
Let the two consecutive numbers be x and x+1.
- x be the small integer.
- x+1 be the large integer.
The sum of these two consecutive integers = small integer + large integer
The sum of these two consecutive integers is x+x+1 = (2x+1)
It is given that,
- The sum of two consecutive integers is one less than three times the smaller integer.
- This means that, (2x+1) is one less than three times the smaller integer.
- Here, the small integer is represented as x.
<u>Therefore, it can determined that :</u>
(2x+1) = 3x-1
Keeping x term on one side and constants on other side,
3x-2x = 1+1
x = 2
Therefore, the small number is 2 and the large number is x+1 = 3.
Answer:
Step-by-step explanation:
we have
we know that
The sum of a quadratic equation and a linear equation will be a quadratic equation
so
Combine like terms
Answer:
The answer is -4
Step-by-step explanation:
-2x-6<=1
-2(-4)-6<=1
8-6<=1
2<=1 which is False
-2x-6<=1
-2(-3)-6<=1
6-6<=1
0<=1 which is True
-2x-6<=1
-2(-2)-6<=1
4-6<=1
-2<=1 which is True
-2x-6<=1
-2(-1)-6<=1
2-6<=1
-4<=1 which is True
