<span>so here is how you can answer this:
Your commission must be equal to the sum of the 10% of the value of the rug and the 15% of the value of the furniture and equate this to the value of your commission. Translate this to a mathematical equation, you would get,
Commission = (10%) (value of rugs) + (15%) (value of furniture).
substituting the known values,
5000 =.1 * x + .15 * 12500.
Now it's a matter of finding for x. You should get,
x = $31,250.</span>
Answer:Please see answer in explanation column
Step-by-step explanation:
A
The sum of a number and 7 is not more than 10
Given answer: x + 7 < 10 , This is false
Reason :Not more than 10 means at most 10, less than or equal to 10 , " or " not greater than 10 "and therefore the correct inequality is written as
x + 7 ≤ 10
B
The product of a number and 4 is at least 20
Given answer: 4X > 20 ---- False
Reason :At least 20 means at no less than 20 " or " greater than or equal to 20 therefore the correct inequality is written as
4X ≥ 20
C
The difference between a 15 and a number is at most 12
Given answer: 15-x>12----False
Reason :At most 12 means " no more than 12 , " " less than or equal to 12 , " or " not greater than 12"therefore the correct inequality is written as
15-x ≤ 12
D
The quotient of a number and 8 is greater than or equal to
Given answer 8x <3 --False
Reason : It clearly stated greater than or equal to 3. Therefore the correct inequality is 8x ≥ 3
Answer:
B.a vertical shift of 9 units up
Step-by-step explanation:
Given 
It means shifting 
unit vertically.
Now, we will find the value of 
for the given function
Hence, vertical shift of 9 units.
The volume of titanium is 20.86 cubic inches
<em><u>Solution:</u></em>
The volume is given by formula:
From given,
Density of titanium = 4.51 
Mass = 3.4 lb
Let us convert the mass to grams
1 pound = 453.592 grams
Therefore, 3.4 pound is equal to:
Now substitute the values into formula:
Let us convert cubic centimeter to cubic inches
1 cubic centimeter = 0.0610237 cubic inches
Therefore,
Thus volume of titanium is 20.86 cubic inches
Question is using standard formula ax+by=c to find the slope by converting into slope intercept form y=mx+b
so we also need to convert ax+by=c into y=mx+b as shown below:
divide both sides by
Now compare it with y=mx+b, we get
So using values of a and b, we can find the slope
compare given equation -5x+2y=15 with ax+by=c, we get:
a=-5, b=2
Now plug both into above formula
Now matching these details with given choices we find that THIRD choice is the final answer.
