Answer: 9,953
Step-by-step explanation:
The first step is to find what the sales tax rate is for the first car because it will be the same for the second.
11,900/767 = .064
Now to find the cost of the second car we divide.
637/.064 = 9,953.125 Round to nearest dollar.
The unknown number is n. So n is the unknown variable in the equation.
In order to write an equation in which n is included we must know some dependence of n with other values.
We know that <span>the difference of three times a number and 44 is −19. So, we can write:
3*n-44=-19
3*n=-19+44
3*n=25
n=25/3
</span>
Answer:
The quadratic equation in terms of v is v² + 2 v + 180 = 0
Step-by-step explanation:
Given as :
The distance between house to the school = d = 6 km
The uniform speed = v km/h
So, Time = 
or, t = 
Or, t = 
<u>Now, Again</u>
The speed is increase by 2 km/h
i.e speed = (v + 2) km/h
So, Time taken = t' = (t -
)hours
i.e t' = (t -
)hours
Now, Time = 
So, (t -
) = 
Or, (t -
) = 
Or ,
-
= 
Or ,
=
Or, (90 - v) × (v + 2) = 6 × 15 v
Or, 90 v - 180 - v² - 2 v = 90 v
Or, v² + 2 v + 180 = 90 v - 90 v
Or, v² + 2 v + 180 = 0
So, The quadratic equation in terms of v
v² + 2 v + 180 = 0
Hence The quadratic equation in terms of v is v² + 2 v + 180 = 0 Answer
<em><u>Question:</u></em>
Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1/2 inches long. The scale of the floor plan is 1/4 inch = 1 foot. What is the actual length of Hector’s room?
<em><u>Answer:</u></em>
The actual length of Hector room is 14 foot
<em><u>Solution:</u></em>
Given that, On the floor plan, his bedroom is 3 inches wide and
inches long
<em><u>The scale of floor plan is given as:</u></em>

Therefore,

To find: Actual length of floor
From given question,

Converting the mixed fraction to improper fraction,

Since, 1 inch = 4 foot

Thus actual length of Hector room is 14 foot
First, distribute the (1/2) into (4x+12) by multiplying them.
The equation becomes:
2x + 6 + 5x = 30
On the left side, combine “like terms” through addition.
7x + 6 = 30
Subtract 6 from both sides:
7x = 24
Finally, get x alone by dividing both sides by 7:
x = 24/7, or if you wanted to round the decimal answer, it’s about 3.429.