Answer:
<h2><em><u>
A to C = 25
</u></em></h2><h2><em><u>
A to B = 13
</u></em></h2><h2><em><u>
C to B = 37
</u></em></h2><h2><em><u>
</u></em></h2>
Step-by-Step Explanation:
<em><u>Perimeter</u></em> = 75
<em><u>Sides:</u></em>
2x + 3
3x + 4
2x - 9
<h2 /><h2><em><u>
1. Equal the sides added together to the perimeter</u></em></h2>
75 = 2x + 3 + 3x + 4 + 2x - 9
<h2><em><u>
2. Simplify Like terms</u></em></h2>
2x + 3 + 3x + 4 + 2x - 9 = 7x - 2
<h2><em><u>
3. Place the equation back together</u></em></h2>
75 = 7x - 2
<h2><em><u>
4. Isolate the variables and numbers</u></em></h2>
75 = 7x - 2
+2 +2
77 = 7x
<h2><em><u>
5. Simplify the equation</u></em></h2>
77 = 7x
/7 /7
<h2><em><u>
11 = x
</u></em></h2>
<h2><em><u>
6. Substitute the value of x into the side lengths.</u></em></h2>
2x + 3 = 2(11) + 3 = 22 + 3 = <em><u>25</u></em>
3x + 4 = 3(11) + 4 = 33 + 4 = <em><u>37</u></em>
2x - 9 = 2(11) - 9 = 22 - 9 = <em><u>13</u></em>
Step-by-step explanation:
9(p-4) = -18
9p - 36 = -18
9p = -18 + 36
9p = 18
p= 18/9
p = 2
Check:
9 ( 2 - 4 ) = - 18
9 (-2) = - 18
- 18 = - 18
✓
Answer:
See below
Step-by-step explanation:
We want to prove that
Taking the RHS, note
Remember that
Therefore,
Once
Then,
Hence, it is proved
C,D and F are correct.
C is what you would think of when reading it, you walked 12 and walked 1/4(12) more.
12 + 12(1/4) =
12 + 3 =
15
D is equal to C when simplified,
12(1+1/4) =
12 + 3 =
15
F is the same as the D, it just simplified the numbers in the parenthesis
12(1+1/4) =
12(4/4 + 1/4) =
12(5/4) =
15
1500 people subscribed Sunday edition and 250 people subscribed only sunday edition.
<u>Solution:</u>
Given, A survey of 2500 subscribers to a certain news paper revealed that 2250 people subscribe to the daily morning edition
And 1250 subscribe to both the daily and the sunday editions.
We have to find how many subscribe to the Sunday edition? how many subscribe to the Sunday edition only?
Let x denote the number who subscribe to the Sunday edition.
Then the addition rule with overlap tells us that
Those who subscribe daily edition + those who subscribe sunday edition - those who subscribe both daily and sunday edition = total subscribers in survey
2250 + x – 1250 = 2500
1000 + x = 2500
x = 1500
so, 1500 subscribe to the Sunday edition and 1500 – 1250 = 250 subscribe to the Sunday edition only.
Hence, 1500 people subscribed Sunday edition and 250 people subscribed only sunday edition.
