Answer:
There are 9 possible numbers for the first number. There are 8 possible numbers for the second number since one number has been picked. For the third number there are 7 possible numbers.
9*8*7=5040
Step-by-step explanation:
Looking at the problem statement, the question is asking us to determine what the missing reasons are. The information that is given to us is a step-by-step process of solving an expression for an unknown. There are also two blanks in the reasons column for steps 3 and 5 which we will need to determine.
For step #3, we can see that they subtracted 6x from both sides which means that options 3 and 4 are automatically out since they reference addition in the first part. The correct reasoning for this part would be Subtraction Property of Equality which states that we subtract the same item from both sides of the expression.
We can see this being done in the following actions
For step #5, we can see that they divided both sides by -2 which means that option 1 is out since it references the multiplication property of equality. The correct reasoning for this part would be Division Property of Equality which states that we divide both sides by the same item.
We can see this being done in the following actions
Therefore, the option that would best fit the description that we provided during our work would be option 2 (3. subtraction property of equality; 5. division property of equality).
To get the solution, we are looking for, we need to point out what we know.
<span>1. We assume, that the number 42.5 is 100% - because it's the output value of the task. </span>
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 42.5 is 100%, so we can write it down as 42.5=100%. </span>
<span>4. We know, that x is 76.8% of the output value, so we can write it down as x=76.8%. </span>
5. Now we have two simple equations:
1) 42.5=100%
2) x=76.8%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
42.5/x=100%/76.8%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 76.8% of 42.5
42.5/x=100/76.8
<span>(42.5/x)*x=(100/76.8)*x - </span>we multiply both sides of the equation by x
<span>42.5=1.30208333333*x - </span>we divide both sides of the equation by (1.30208333333) to get x
<span>42.5/1.30208333333=x </span>
<span>32.64=x </span>
x=32.64
<span>now we have: </span>
<span>76.8% of 42.5=32.64</span>
Answer:3
Step-by-step explanation:Slope is Rise over Run, the rise is 12 and the run is 4 so 12/4 this simplifies to 3
Answer:
- ∠ABE = 60°
- ∠DBE = 40°
- ∠FBA = 47°
- y = 2
Step-by-step explanation:
The various markings tell you that ...
GH = GI
5x -10 = 3x
2x = 10
x = 5
and
∠ABD ≅ ∠DBC
10y° = (8y+4)°
2y = 4
y = 2
The markings on GH and GI tell you that ΔGBI ≅ ΔGBH, so ...
∠CBE ≅ ∠DBC ≅ ∠ABD = 10y° = 20°
__
A) m∠ABE = 60° . . . matches choice D
__
B) m∠DBE = 40° . . . matches choice C
__
C) m∠FBA = 7(5) +6(2) = 35 +12 = 47 . . . matches choice C
__
D) The value of y is 2. . . . matches choice A