Answer:
p = 13
Step-by-step explanation:
32 = 4p - 20
<em>First, take 20 to the left side.</em>
32 + 20 = 4p
52 = 4p
<em>Now divide both sides by 4.</em>
<u>13 = p </u>
Answer:
x = 75
Step-by-step explanation:
Triangle BDH
The angle must add to 180 degrees
36+ 39 + DHB = 180
75 + DHB = 180
DBH = 180-75
DHB = 105
DBH + x = 180 since it is a straight line
105+ x = 180
x = 75
Answer:
a. 4(d+3e)
b. 6(3x+5y)
c. 7(3a+4y)
d. 8(3f+7g)
Step-by-step explanation:
In each case we find the greatest common factor of the numbers. That is the greatest number that goes into both the numbers. Then we factor it out in front and inside parentheses we divide each original term by the greatest common factor:
a. 4d+12e, GCF: 4
b. 18x+30y, GCF: 6
c. 21a+28y, GCF: 7
d. 24f+56g, GCF: 8
Answer:
Option B, x =
Step-by-step explanation:
e^4x-1 = 3
<u>ln both side</u>
ln(e^4x - 1) = ln(3)
<u>ln(e) = 1</u>
4x - 1 + 1 = ln(3) + 1
4x / 4 = (ln(3) + 1) / 4
x =
Answer: Option B, x =
Answer:
60
Step-by-step explanation:
Let the original number be x.
According to the question we can write as (2/3)x+20x
On rearranging x−(2/3)x=20
Now taking the L.C.M od 1 and 3 is 3
(3x−2x)/3=20
x/3=20
Again by transposing x=60
So the original number is 60