Step-by-step explanation:
By AAS congruence, triangles RNM and RNP are congruent. Hence 7x = 2x + 25, x = 5.
Line RM = 7x = 7(5) = 35 units.
Answer:
$337.50
Step-by-step explanation:
The computation of the number of miles need to drive for determining the same cost is given below:
Let us assume the miles be x
So for the first plan, the equation is
= $0.90x
And for the second plan, the equation is
= $75 + $0.70x
Now equate this
0.90x = $75 + 0.70x
0.90x - 0.70x = $75
0.20x = $75
x = $75 ÷ 0.20
= 375 miles
Now the same cost would be
For plan A and plan B
0.90x = $75 + 0.70x
0.90(375) = $75 + 0.70(375)
$337.5 = $75 + $262.50
$337.50 = $337.50
Answer: the answer is 12
Step-by-step explanation:
The correct answer is: <span>a $100,000 life insurance policy at $0.55 per $1000 per month (more economical)
</span>
Explanation:
(1)<span>a $100,000 life insurance policy at $0.55 per $1000 per month
It means:
$0.55*100*12 = $660 [There are 100 thousands in $100000 and there are 12 months in the year]
(2)</span><span>a $100,000 life insurance policy at $170 per quarter.
It means:
$170*4 = $680 [There are 4 quarters in a year]
As $680 > $660 therefore Option (A) is the economical option.</span>
Answer:
answers are below
Step-by-step explanation:
<u>a. -6 ≤ 3x < 15</u>
steps in order to solve:
-6 ≤ 3x
= -6/3 ≤ 3x/3
= -2 ≤ x
3x < 15
= 3x/3 < 15/3
= x < 5
=> -2 ≤ x < 5
<u>b. -3 < 2x - 1 < 7 </u>
steps in order to solve:
-3 < 2x - 1
= 1 - 3 < 2x - 1 + 1
= -2 < 2x
= -2/2 < 2x / 2
= -1 < x
2x - 1 < 7
= 2x - 1 + 1 < 7 + 1
= 2x < 8
= 2x/2 < 8/2
= x < 4
=> -1 < x < 4
<u>c. 7 < -3n + 1 ≤ 13</u>
steps in order to solve:
7 < -3n + 1
= -1 +7 < -3n + 1 - 1
= 6 < -3n
= 6/-3 < -3n/-3
= -2 > n
-3n + 1 ≤ 13
= -3n + 1 - 1 ≤ 13 -1
= -3n <u><</u> 12
= -3n/-3 <u><</u> 12/-3
= n <u>></u> -4
=> -4 <u><</u> n < -2
graphs are below.
hope this helps and is right :)