1.
Calculate the sum
5x - 10 + 7 = 65 - 20x + 32
Move terms
5x - 3 = 97 - 20x
Collect the like terms and calculate
5x + 20x = 97 +3
Divide both sides by 25
25x = 100
X= 4 ANSWER
I skipped some steps because it would be too long :/
2.
Multiply parenthesis by 8
20x>8(4x - 5) -20
Calculate
20x>32x - 40 - 20
Move variable to the left
20x>32x-60
Collect like terms
20x - 32x > -60
Divide both sides by -12
-12x>-60
X<5 ANSWER
Answer:
The equation the 16 x 6 = 96
and she would have 6 bags of dog treats
Step-by-step explanation:
Answer:
78.5°
Step-by-step explanation:
We solve for the above question, using the formula for the Trigonometric function of Cosine
cos θ = Adjacent/Hypotenuse
Adjacent = The distance between the house and the base of the ladder = 4 feet
Hypotenuse = Length of the Ladder = 20 feet
Hence,
cos θ = 4/20
θ = arc cos(4/20)
θ = 78.463040967°
Approximately = 78.5°
Therefore, the angle that the ladder makes with the ground is 78.5°
Answer:
log[3(x+4)] is equal to log(3) + log(x + 4), which corresponds to choice number three.
Step-by-step explanation:
By the logarithm product rule, for two nonzero numbers 
and 
,
.
Keep in mind that a logarithm can be split into two only if the logarithm contains the product or quotient of two numbers.
For example, 
is the number in the logarithm ![\log{[3(x + 4)]}](https://tex.z-dn.net/?f=%5Clog%7B%5B3%28x%20%2B%204%29%5D%7D)
. Since is a product of the two numbers 
and 
, the logarithm can be split into two. By the logarithm product rule,
![\log{[3(x + 4)]} = \log{(3)} + \log{(x + 4)}](https://tex.z-dn.net/?f=%5Clog%7B%5B3%28x%20%2B%204%29%5D%7D%20%3D%20%5Clog%7B%283%29%7D%20%2B%20%5Clog%7B%28x%20%2B%204%29%7D)
.
However, 
cannot be split into two since the number inside of it is a sum rather than a product. Hence choice number three is the answer to this question.
