Hi there! :)
<u>Answer:</u>
r ≤ 2.5
Step-by-step explanation:
<u>-2</u>(r - 3) + 7 ≥ 8
Distribute the "-2" to the entire parentheses → -2 × r = <u>-2r</u> & -2 × -3 = <u>6</u>
-2r <u>+ 6</u> <u>+ 7</u> ≥ 8
Add the similar terms together → 6 + 7 = <u>13</u>
-2r <u>+ 13</u> ≥ 8
Subtract "13" from each side of the inequality → 8 - 13 = <u>-5</u>
<u>-2</u>r ≥ -5
Divide each side of the inequality by "-2" → -5 ÷ -2 = <u>2.5</u>
<u>r ≤ 2.5</u> ⇒ Whenever you divide an inequality by a negative number, you must flip the inequality sign!!
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
Step-by-step explanation:
let x be one part of the money invested.
let y be the other part of the money invested.
x *(10/100) -- amount on 10% of interest per annum
y*(7/100)- amount invested on 7% of interest per annum
x *(10/100) + y*(7/100) =1400
on simplifying it
10x +7y =140000 --(1)
On interchanging the interest rate on x amount and y amount of the investor
x *(7/100) + y*(10/100) =1490
7x +10y =149000-(2)
on solving equation (1) and (2) we get
70x +49y =980000
70x + 100y =1490000
-51y= -510000
y=10000
and x=7000
So our total amount invested is 17000
Answer:
2x-10=14
2x=10+14
2x=24
x=24/2
x=12.
i guess it cant have infinite solutions.........
false.
Answer:
1/2
Step-by-step explanation:
The factors of 8 are 1,2,4
So there are three factors of 8 on the dice
There are a total of 6 numbers on the dice
So the probability is ,3/6
Which in its simplest form is 1/2
