The algebraic expression of "Four more than the quotient of a number and 3 is 9" is 
The value of x=15
Step-by-step explanation:
We need to express "Four more than the quotient of a number and 3 is 9" as algebraic expression.
Let the number = x
Solving:
quotient of a number and 3: 
Four more than the quotient of a number and 3: 
Four more than the quotient of a number and 3 is 9:
Now, finding value of x:
So, value of x = 15
Keywords: Algebraic expression
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we are given that
angle(ACF)=90
angle(ACB)=61
sum of all angles along any line is 180
so, we get
angle(ACF)+angle(ACD)=180
we can plug value
90+angle(ACD)=180
angle(ACD)=90
now, we can use formula
angle(ACD)=angle(ACB)+angle(BCD)
now, we can plug values
and we get
90=61+angle(BCD)
90-61=61-61+angle(BCD)
angle(BCD)=29................Answer
Answer:
x+46
Explanation:
4(−8x+5)−(−33x−26)
Distribute the Negative Sign:
=4(−8x+5)+−1(−33x−26)
=4(−8x+5)+−1(−33x)+(−1)(−26)
=4(−8x+5)+33x+26
Distribute:
=(4)(−8x)+(4)(5)+33x+26
=−32x+20+33x+26
Combine Like Terms:
=−32x+20+33x+26
=(−32x+33x)+(20+26)
=x+46
-99 = -9*11
176 = 16*11
Both factorizations have 11 show up. It turns out that 11 is the largest common factor.
Answer: C) 11
Note: if you divide both numerator and denominator by 11, then the fraction reduces to -9/16
