12 months per year
3200/12 = 266.66 per month
jan/feb = 2 months
266.666 x 2 = 533.33 round off to 533 cars sold
If 3,200 cars were sold all year, then approximately 533 cars were sold in the Jan/Feb period.
We need to calculate the proportion of the year that these two months represent and then apply that proportion to the total number of cars sold in the year.
Since there are 12 months in a year, the Jan/Feb period represents [tex]\(\frac{2}{12}\)[/tex] of the year. We can simplify this fraction to [tex]\(\frac{1}{6}\)[/tex] by dividing both the numerator and the denominator by 2.
To find the number of cars sold in the Jan/Feb period, we multiply the total number of cars sold in the year by the fraction representing Jan/Feb:
[tex]\[ \text{Number of cars sold in Jan/Feb} = \text{Total cars sold} \times \frac{2}{12} \][/tex]
Substituting the given total number of cars sold:
[tex]\[ \text{Number of cars sold in Jan/Feb} = 3,200 \times \frac{2}{12} \][/tex]
[tex]\[ \text{Number of cars sold in Jan/Feb} = 3,200 \times \frac{1}{6} \][/tex]
[tex]\[ \text{Number of cars sold in Jan/Feb} = \frac{3,200}{6} \][/tex]
Performing the division:
[tex]\[ \text{Number of cars sold in Jan/Feb} = 533.\overline{3} \][/tex]
[tex]\[ \text{Number of cars sold in Jan/Feb} \approx 533[/tex]
in the chorus there is 12 more girls than boys there 32 students in the chorus how many boys are there and how many girls are there
How to do the how long will it take two people to paint a room problem?
the formula P=2I + 2w means that the perimeter of a rectangle is equal to twice the sum of its length and its width
Answer:
Step-by-step explanation: simple Answer I got
I=p-2w over 2
Eliminate the parameter. x = square root of t, y = 3t + 7
Answer:
y = x divided by three + 7
Step-by-step explanation:
One number is 4 more than 3 times another. Four times the larger decreased by 5 times the smaller is equal to the smaller subtracted from 32. Find the numbers
Shannon wants to buy cupcakes for her friend's birthday party. The bakery she goes to sells cupcakes for $3.50 each. The bakery also sells gift cards for $2.00, and Shannon decides to buy one card. If Shannon buys 10 cupcakes, how much money does she spend at the bakery?
ok guys so i had trouble on this algrebra question for a while if you can help me out thxs so much: Jenny had 2 apples if she added two more how many would she have altogether. Im stuck plz help
Complete the data set with one value so that the mean of the data is 13.
10,14,8,16,12,____
The value of another number such that mean remains 13 is 18.
What is mean?The mean is the average of a data set. Mean gives us the idea of that how much amount of overall data have.
Mean = sum of data / Number of data
For example, if you have marks in 5 subjects like 40,45,44,46,48 then the mean will be
( 40 + 45+ 44 + 46 + 48) /5 = 44.6.
Let's say that number is x
Then,
Mean = (10 + 14 + 8 + 16 + 12 + x)/6
(60 + x)/6 = 13
x = 18
Hence "The value of another number such that mean remains 13 is 18".
For more about the mean,
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40 POINTS
Which ordered pair is a solution to the system of inequalities?
Check image below.
solve for the 2nd equation with the answers:
A. 1+3 =4 ( not less than 4)
B. 0+4 = 4 ( not less than 4)
C. -3 + 5 = 2 ( less than 4) & y is >-2
D. -2 +-3 = -5 ( less than 4) but -3 is <-2
so answer is C
The tangent of a 45 degree angle is _____.
1
0
1/2
-1
Reduce to simplest form.
3 6/2 × 2 4/5
2 5/6 × 2 7/9
2 2/5 × 4 3/4
1/2 × 3
19/20 × 14
3/8 ×21
3/8 ×12
Use the formula m = to calculate the slope of the line.
The slope of the line is .
The slope of the line passing through the points is 2
How to find the slope of a lineThe formula for calculating the slope of a line is expressed as:
m =y2-y1/x2-x1
Given the coordinate points expressed as(2, 8) and (-6, -8). Substitute the given values to have:
m =y2-y1/x2-x1
m =-8 -8/-6-2
M = -16/-8
M = 2
Hence the slope of the line passing through the points is 2
Learn more on slope here: https://brainly.com/question/3493733
One third of a number is three more than one fourth the same number. What is the number.
Answer this question please!
observation often starts the scientific process observation is useful because it helps scientist_____
a) form questions
b) develop opinions
c) summarize data
d) write laws
Mrs.Carson pays Kristen $48 for babysitting 6 hours,and Mr.Vaquez pays her $67.50 for babysitting 9 hours,Who pays Kristin the better salary? Explain your answer
what is the intersection of plane stxw and plane stv
I really need help with #4
How many terms are in the expression shown below?
a2 - ab + 8b + b2 - 1
2
3
4
5
i need to know 725 miles in 8 hours miles per hour
divide total miles by time
725/8 = 90.625 miles per hour
In ABC, C is a right angle, what is the measure of x?
A. 22.4°
B. 67.6°
C. 20.9°
D. 69.1°
B is the right answer
Answer:
Option B. 67.6°
Step-by-step explanation:
In the given triangle ABC angle C is the right angle, side AB = 21 and side AC = 8.
We have to find the measurement of angle A.
Now from cosine rule we can write
[tex]CosA = \frac{Base}{hypotenuse}[/tex]
Here Base in the corresponding side of the angle A that is 8 and hypotenuse is 21.
Now we put the values
Cos x = 8/21 = 0.3809
[tex]x=cos^{-1}0.3809[/tex]
Or x = 67.61°
Therefore measurement of angle A or x = 67.6° is the answer.
Solve the inequality.
-x/4 ≤ 2
A storeowner places a “No Smoking” sign in front of their store. This would be classified as a type of what factor.
Answer:
external pressure
Explanation:
This is the full question:
A sign in front of a store says "No Smoking.” What kind of factor is this sign?
external pressure
internal pressure
media influence
peer pressure
Find all the real zeros of x3-2x2-5x+6=0.
After the drama club sold 100 tickets to a show, it had $300 in profit. After the next show, it had sold a total of 200 tickets and had a total of $700 profit. Which equation models the total profit, y, based on the number of tickets sold, x?
a. y – 300 = 4(x – 100)
b. y + 300 = 4(x + 100)
c. y + 300 = 2.5(x + 100)
d.y – 300 = 2.5(x – 100)
HELPPPPPPPPPPP
Answer:
Option a : [tex]y-300 = 4(x - 100)[/tex]
Step-by-step explanation:
Given :
The drama club sold 100 tickets to a show, it had $300 in profit.
The next show, it had sold a total of 200 tickets and had a total of $700 profit.
To Find : Equation models the total profit, y, based on the number of tickets sold, x
Solution :
For 100 tickets he had $300 in profit .
⇒ ([tex]x_{1} ,y_{1}[/tex])=(100,300)
For 200 tickets he had $700 in profit .
⇒ ([tex]x_{2} ,y_{2}[/tex])=(200,700)
We will use point slope form i.e.
[tex]y-y_{1} = m(x - x_{1})[/tex] --(A)
Now, to calculate m we will use slope formula :
[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{700 -300}{200-100}[/tex]
[tex]m =4[/tex]
Now, putting values in (A)
[tex]y-300 = 4(x - 100)[/tex]
Thus Option a is correct i.e. [tex]y-300 = 4(x - 100)[/tex]
What is R such that PR : RQ = 2/5
Express as a coordinate
Skylar needs to buy a pair of dress pants for $40, a shirt for $30, and a tie for $20. Skylar has three coupons. The first coupon gives him x percent off on a shirt. The second coupon gives him y percent off on the dress pants. The third coupon gives him z percent off on his total purchase. He cannot combine the coupon for the total purchase with the other two coupons. These expressions give both possibilities for the total cost of Skylar's purchase after the coupons are applied. The variables represent percentages as decimals. (1−x)30+(1−y)40+20 (1−z)(40+30+20) Skylar uses the dress pants coupon. Which part of the expression represents the percent that Skylar will pay for the dress pants?
Answer: Hello there!
As we know, the dress pants cost a total of $40, and we also know that Skylar has a coupon of y percent in the dress pants and a coupon of z percent in the total purchase.
In this problem, the question is:
Skylar uses the dress pants coupon. Which part of the expression represents the percent that Skylar will pay for the dress pants?
Ok, if we have a discount of y percent, (where y is represented as decimals) means that you are paying the total price of something ( the 100%) minus the the decimal y multiplied by the price of the object.
this is: $40 - y*$40 = (1 - y)*$40
then if the dress pants cost $40, and Skylar only uses the dress pants coupon, he will pay (1 - y)*$40 for the dress pants.
4x -y =1
I need to get the variable y by its self.
If p: It is not cold. What is ~ p?
it is cold
it is mildly cold
it depends
none of the above
Answer:
"it is cold"
Step-by-step explanation:
One moving company charges $800 plus $16 per hour. another moving company charges $720 plus $21 per hour. at what number of hours will the charge be the same and what is the charge?