Answer:
Dealer B
Step-by-step explanation:
Maintenance cost per year = 75$
Dealer "A' wants $4.995.00.
Dealer "B" wants 55,595.00 with free maintenance cover for a year.
It is obvious that the best deal is what dealer B is offering, with free maintenance cover per year. for example, if i pick dealer A, calculate the maintenance cover for 3years = $2700
whereas for dealer B, a whole year maintenance cost is free, it implies that one will start paying the next coming year i.e a year lesser than dealer A. by that time the one who picked dealer A must have paid $3600 for maintenance while the one who picked dealer B will about to pay $1800.
The best deal is what dealer B is offering coupled with the free maintenance cover for 1year.
Final answer:
After calculating the total costs for one year, Dealer B offers a better deal on the Jeep by saving $300, as it includes free maintenance, contrasting with Dealer A which results in higher overall costs after adding maintenance payments.
Explanation:
To determine which car deal from the dealers is the better option, we need to calculate the total cost of each option over the course of one year, including the average monthly maintenance cost on a used car. According to AAA, this cost is $75 per month.
For Dealer A, the cost of the car is $4,995 with no free maintenance, so the total cost after one year is the price of the car plus 12 months of maintenance:
Cost of the car: $4,995
12 months of maintenance: 12 * $75 = $900
Total cost for Dealer A after one year: $4,995 + $900 = $5,895
For Dealer B, the car costs $5,595 but comes with free maintenance for one year, which means:
Total cost for Dealer B after one year: $5,595
Comparing these totals, we see that Dealer B offers the better deal, with the overall savings being:
Savings: $5,895 - $5,595 = $300
A portrait without its frame has a height 1.5 times its width w, in inches. Its frame is 2 in. wide all along its perimeter. What is an expression for the area of
the framed portrait in terms of w?
A. 1.5W2 + 5W + 4
B. 1.5w2 + 8w + 8
C. 1.5w2 + 8.5w + 16
D. 1.5w2 + 10w + 16
Answer:
The correct answer is A. 1.5w² + 5w + 4
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Height of the portrait = 1.5 times its width in inches
Frame = 2 inches all along its perimeter
2. What is an expression for the area of the framed portrait in terms of w?
Let's recall that the area of a rectangle is length or height * width.
A = height * width
Now, we can replace in terms of w:
A = 1.5w * w
But we need to add the 2 inches of the frame, this way:
A = (1.5w + 2) * (w + 2)
A = 1.5w² + 2w + 3w + 4
A = 1.5w² + 5w + 4
The correct answer is A. 1.5w² + 5w + 4
Final answer:
The expression for the area of the framed portrait in terms of w is 1.5w^2 + 8w + 8.
Explanation:
To find the expression for the area of the framed portrait, we need to consider the dimensions of both the portrait and the frame. Let's assume the width of the portrait is w inches. According to the given information, the height of the portrait without the frame is 1.5 times the width, so the height is 1.5w inches.
To calculate the dimensions of the framed portrait, we need to add 2 inches to the width and height for the frame. The width of the framed portrait is w + 2 inches, and the height is 1.5w + 2 inches.
The area of the framed portrait is equal to the product of its width and height. Therefore, the expression for the area, in terms of w, is (w + 2) * (1.5w + 2). When we simplify this expression, we get 1.5w2 + 8w + 8.
A car traveling on the taconic parkway travels 84 miles in two hours.
Answer:
The speed of the car is 42 mph.
Step-by-step explanation:
Speed = distance / time. 84 / 2 = 42
3/4 divided by w equals what
Answer:
3/4w
Step-by-step explanation:
3/4 ÷w = 3/4 × 1/w = 3/4w
Hi! Can somebody help me with this question? I am quite confused. Thanks!
Answer:
what is your problem in the figure
Answer:
Here are a couple questions I came up with myself! Feel free to use one!
Step-by-step explanation:
This chart is asking “ Well, we have data and we want you to make a question out of it”
So,
“How much was the population in Suwanee?”
“How much more is the population in Cartersville than Lilburn?”
“If you add the population of Cartersville, Suwanee, Lilburn, and Norcross, how much would the population be then?”
Hope this helped! ~Oreo
If it takes 930 kg of food to feed a pair of elephants for 3 days how much food would u need to feed them for a week?
Answer:
2170 kg
Step-by-step explanation:
since there are 7 days in a week first you calculate the days
930 plus 930 equals 1860 which can feed a pair of elephants for 6 days
then since in one day it takes 310 kg then add 1860 plus 310
and then you get 2170
so, you need 2170 kg of food to feed a pair of elephants in a week
At every company meeting, the president speaks for 20 minutes and then takes questions from her employees. Let q represent the number of minutes she spends answering questions and t represent the total number of minutes the meeting lasts. Complete the equation that represents the relationship between q and t.t=?
Answer:
T. T = 2q
Step-by-step explanation:
20t : q
40t : 2q
You just times the values
There are 12 inches in 1 foot. The height of Rachel door is 7 feet Find the height in inches
Answer:
84 Inches
Step-by-step explanation:
so 12 inches are in 1 foot. 12 x 7+84
Answer: 84 in
Step-by-step explanation: since there are 12 inches in a foot multiple 12 by the number of feet.
HELP I AM DYEING STUCK ON THIS QUESTION
Q: v-14≤-18
I'm gonna assume you want us to simplify it.
v-14≤-18. Add 14 to both sides:
v ≤ -4
Answer:
v ≤ -4
Step-by-step explanation:
v - 14 ≤ -18
v -14 + 14 ≤ -18 + 14
v ≤ -4
Dakota bought 2 scarves and 1 hat for $13. Kristina bought 1 scarf and two hats for $14. What was the price for one hat and one scarf?
Answer:
The price for one hat was $5 and the price for one scarf was $4
Step-by-step explanation:
Let
x ----> the price for one scarf in dollars
y ----> the price for one hat in dollars
we know that
Dakota bought 2 scarves and 1 hat for $13
so
[tex]2x+y=13[/tex] ----> equation A
Kristina bought 1 scarf and two hats for $14
so
[tex]x+2y=14[/tex] ----> equation B
Solve the system by elimination
Multiply by -2 both sides equation B
[tex]-2(x+2y)=-2(14)[/tex]
[tex]-2x-4y=-28[/tex] ----> equation C
Adds equation A and equation C
[tex]2x+y=13\\-2x-4y=-28\\---------\\y-4y=13-28\\-3y=-15\\y=5[/tex]
Find the value of x
substitute the value of y in any equation
equation B
[tex]x+2(5)=14\\x=14-10\\x=4[/tex]
therefore
The price for one hat was $5 and the price for one scarf was $4
help me ................ i don't have time
The angle measure of m∠ACB (x°) is 39°.
Step-by-step explanation:
Let us name the joining points as ABC and ABC forms triangle with extended lines. (refer the image)
We have to find the value of m∠ACB = x°.
the given data,
m∠A=68°.
m∠B =107°.
To find m∠CAB,
Let us consider that AB is a line traversed by a line C intersecting at A. (refer diagram)
Using the theorem of corresponding angles theorem, when a line intersects another line, then the angles opposite each other is equal to each other.
m∠A=m∠CAB.
m∠CAB =68°.
To find m∠ABC,
Let us consider AB is a line.(refer diagram)
Using the straight line proof, the total of angles in a straight line is 180°.
Thus m∠ABC+m∠B=180°.
m∠ABC+107°=180°.
m∠ABC=180°-107°.
m∠ABC=73°.
Finally we have to find the value of x° that is m∠ACB.
Using the interior angles proof, the sum of interior angles of triangle is 180°.
⇒m∠ABC+m∠CAB+m∠ACB=180°.
73°+68°+m∠ACB=180°.
141°+m∠ACB=180°..
m∠ACB=180°-141°.
m∠ACB=39°.
Thus the angle measure of m∠ACB (x°) is 39°.
Let f(x) = x2 – 3x - 7. Find f(-3).
O 11
Answer:
plug -3 as x to find f(-3)
Step-by-step explanation:
Select all equations that have no solution.
A. 12x – 3 – 6x = 6x – 3
B. 3 + 16x = 3 + 24x – 8x
C. 2 + 12x - 4x = 2 + 8x
D. 12x – (6x + 8) = 6x + 4
Answer:
D
Step-by-step explanation:
A.
12x – 3 – 6x = 6x – 3
12x - 3 = 12x -3
-3 = -3 infinite solution
B.
3 + 16x = 3 + 24x – 8x
3 + 16x = 3 + 16x
3 = 3 infinite solution
C.
2 + 12x - 4x = 2 + 8x
2 + 8x = 2 + 8x
2 = 2 infinite solution
D.
12x – (6x + 8) = 6x + 4
6x - 8 = 6x + 4
-8 = 4 no solution
Choose the correct simplification of (2x)(4y).
8xy
6xy
2xy
8y
Answer:
8xy
Step-by-step explanation:
(2x)(4y)
By expansion we have
2x x 4y
8xy
what is 2 divideed by 8
Answer: 0.25
Step-by-step explanation:
A building in a city has a rectangle base. The length of the base measures 70 feet less than three times the width. The perimeter of this base is 900 feet. What are the dimensions of the base?
Answer:
Width 130 ft and
Length 320 ft
Step-by-step explanation:
We are given;
Length of the rectangular base is 70 ft less than three times the width;Perimeter of the rectangular base is 900 ftWe are required to determine the dimensions of the rectangular base;
Assuming the width of the rectangular base is x ft
Then length will be (3x - 70) ft
But;
Perimeter = 2L + 2W
Thus;
900 ft = 2(3x-70) + 2(x)
900 ft = 6x -140 +2x
1040 = 8x
x = 130
Thus;
Width = 130 ft
Length = 3x -70 = 320 ft
Hence the dimensions of the rectangular base are width 130 ft and length 320 ft
The sum of two numbers is zero. When 13 times the smaller number is added to 8 times the larger, the result is 2. Find the two numbers.
Answer:
x = (2/5); y = (-2/5)
Step-by-step explanation:
x + y = 0
13x + 8y = 2
Multiply so the "x" variables are opposite with the same absolute value.
(-13) x + y = 0 (-13) ⇒ -13x - 13y = 0
(1) 13x + 8y = 2 (1) ⇒ 13x + 8y = 2
Add the two equations.
(13x - 13x) + (8y - 13y) = (2 - 0)
-5y = 2
Divide both sides by -5
y = [tex]-\frac{2}{5}[/tex]
Plug the value of "y" into either equations.
x + [tex](-\frac{2}{5})[/tex] = 0
Add [tex]\frac{2}{5}[/tex] to both sides.
x = [tex]\frac{2}{5}[/tex]
7+ 2x divided by 5= 13
Answer:
[tex]x=29[/tex]
Step-by-step explanation:
Given equation :
[tex]\frac{(7+2x)}{5} =13[/tex]
Making the terms of 'x' to one side and constants to the other.
[tex](7+2x)=13*5[/tex]
[tex]7+2x=65[/tex]
[tex]2x=65-7[/tex]
[tex]2x=58[/tex]
[tex]x=\frac{58}{2}[/tex]
[tex]x=29[/tex]
So, the value of 'x' is 29.
Answer:
x = 29
Explanation:
7 + 2x / 5 = 13
Multiply both sides by 5
7 + 2x / 5 = 13 · (5) = (13) · (5)
7 + 2x = 65
Simplify both sides of the equation
2x + 7 = 65
Subtract 7 from both sides
2x + 7 − 7 = 65 − 7
2x = 58
Divide both sides by 2
2x / 2 = 58 / 2
x = 29
What is X +2/5 equals 3 1/3
Answer:
Exact Form: X = 44/15
Decimal Form: X = 2.93¯
Mixed Number Form: X = 2 14/15
Step-by-step explanation:
2. a. How could you distinguish between traveling west at 5 miles per hour and
traveling east at 5 miles per hour without using the words "east" and "west"
b. Four people are cycling. They each start at the same point. (0 represents their
starting point.) Plot their finish points after five seconds of cycling on a number line!
• Lin cycles at 5 meters per second
• Diego cycles at -4 meters per second
• Elena cycles at 3 meters per second
Answer:
Traveling east 5miles/hour can be represented as; traveling 45 degrees from south at 5 miles per hour .
Traveling west 5miles/hour can be represented as;
Traveling 45 degrees from south towards the north
The second part is on the attached file
Step-by-step explanation:
You will declare variables before you start solving the questions
Answer:
Step-by Traveling east 5miles/hour can be represented as; traveling 45 degrees from south at 5 miles per hour .
Traveling west 5miles/hour can be represented as;
Traveling 45 degrees from south towards the north
The second part is on the attached filey-step explanation:
what is the imaginary part of the number 9?
Answer:
0iStep-by-step explanation:
The imaginary number has form:
a + bi
a - real part
bi - imaginary part
i - imaginary unit (i = √-1)
We have the number 9.
9 is a real part
An imaginary part is equal 0.
Therefore the imaginary part of number 9 is 0i.
Calculate the area of the regular pentagon below:
Answer:
1064.8 in^2
Step-by-step explanation:
12.1 x 17. 6 / 2 to find one half of a triangle will equal 106.48
there are 10 triangle therefore 106.48 x 10 = 1064.8
Answer:
532.4 in²
Step-by-step explanation:
The area (A) of the regular pentagon is calculated as
A = 0.5 × perimeter × apothem
Perimeter = 5 × 17.6 = 88 in
The apothem is the segment from the centre to the midpoint of one of the sides.
Here the apothem = 12.1 in, thus
A = 0.5 × 88 × 12.1 = 44 × 12.1 = 532.4 in²
13 1/6- 3 4/5=
13 1/6- 3 4/5=
[tex]13\frac{1}{6}-3\frac{4}{5}=(13*6+1)/6-(3*5+4)/5=79/6-19/5=(395-114)/30=\\ \\=281/30=9\frac{11}{30}[/tex]
Hey there! Since my last answer got reported and deleted because I messed it up, here is a second answer for you!
Answer:
Exact form : 281/30
Decimal form : 9.36 (please a line over the six to represent that the six is repeating itself. It will look like this...9.3666666666...)
Mixed Number form : 9 11/30
Step-by-step explanation: Convert the mixed number to improper fractions, then find the LCD (Least Common Denomintor) and then combine.
Hope this helps you out.
1 Which set of ordered pairs does not represent a function?
1 {(1, 10), (3, 18), (5, 26), (7, 34), (9, 42)
2 {(2, 10), (3, 20), (4, 15), (5,5), (6,25)
3 {(0,8), (5,4), (10,0), (15, 4), (20,8)
4 {(9, 1), (6,2), (3, 3), (6,4), (9,5)}
Answer: it’s D
Step-by-step explanation:
I completed it
The relation set - {(9, 1), (6,2), (3, 3), (6,4), (9,5)}
does not represent the function.
What is a function?An expression in mathematics defines a relationship between one variable (the independent variable, x) and another variable (the dependent variable, y). For example -
f(x) = 4x + 6
Given are the set of ordered pairs as given in the question.
It can be clearly seen that the relation set -
{(9, 1), (6,2), (3, 3), (6,4), (9,5)}
does not represent the function as for x = 6, there are two possible values of [y] given, which is not possible.
Therefore, the relation set - {(9, 1), (6,2), (3, 3), (6,4), (9,5)}
does not represent the function.
To solve more questions on functions, visit the link below -
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Which quantity is proportional to 40⁄8?
Check all that are true.
A. 120⁄24
B. 10⁄5
C. 120⁄36
D. 5⁄1
E.
20⁄4
Answer:
A and D and E is the answer.
Step-by-step explanation:
Help please **attachment**
Answer:
i think the answer is c but im not sure
Step-by-step explanation:
what is 15/5 as a mixed number
Answer:
3
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
15 divided by 5 is 3. Which means that 15/5 is 3.
24 miles out of 32 miles express ratio as fraction
Answer:
Step-by-step explanation:
That would be:
24 miles 3
------------- = ------ with no units of measurement
32 miles 4
Please help, I’m really stuck on this question!
How can you make different triangles with the same angle measures?
Form different triangles with angle measures 90°, 60°, and 30°
How can you make different triangles with the same angle measures?
OA. Make triangles with the same side lengths but different angle measures
OB. It is not possible to make different triangles with the same angle measures.
OC. Make triangles with the same angle measures and the same side lengths
OD. Make triangles with the same angle measures but different side lengths
Click to select your answer and then click Check Answer.
Answer:
D. Make triangles with the same angle measures and different side length.
Step-by-step explanation:
Since the values of the angles of the triangle are constant, varying the length of the sides would give series of triangles. Note that the length of the three sides must not be equal at any stage of the varying process.
PLEASE ANSWER QUICKLY!
The number of bagels sold daily for two bakeries is shown in the table:
Bakery A Bakery B
45 48
52 42
51 11
48 45
57 57
30 10
55 43
46 46
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain.
Mean for both bakeries because the data is symmetric
Mean, because the distribution is symmetric for both bakeries
Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric
Mean for Bakery B because the data is symmetric; median for Bakery A because the data is not symmetric
Answer:
Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric, as can be observed from the stem and leaf frequency plot.
Step-by-step explanation:
CALCULATIONS FOR BAKERY A
Considering the data for Bakery A
45 52 51 48 57 30 55 46
Calculating Mean for Bakery A
[tex]Mean=\frac{Sum\:of\:terms}{Number\:of\:terms}[/tex]
Sum of terms = 45 + 52 + 51 + 48 + 57 + 30 + 55 + 46 = 384
Number of terms = 8
As
[tex]Mean=\frac{Sum\:of\:terms}{Number\:of\:terms}[/tex]
[tex]Mean=\frac{302}{8}[/tex]
[tex]Mean=48[/tex]
Calculating Median for Bakery A
As the median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.
As the data for Bakery A is
45 52 51 48 57 30 55 46
Ordering the data from least to greatest, we get:
30 45 46 48 51 52 55 57
As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:
[tex]Median=\frac{\left(48+51\right)}{2}=\frac{99}{2}=49.5[/tex]
Getting a Plot and Leaf Plot for Bakery A
Plot and leaf plot is generally a unique table-like diagram which displays the frequency distribution of a data set. Plot and leaf plot is a visual aid that supports us in recognizing frequency classes and the center of the distribution where most of the data gets clustered around.Data for Bakery A in ascending order
30 45 46 48 51 52 55 57
STEM LEAF
3 0
4 5 6 8
5 1 2 5 7
CALCULATIONS FOR BAKERY B
Considering the data for Bakery B
48 42 11 45 57 10 43 46
Calculating Median for Bakery B
[tex]Mean=\frac{Sum\:of\:terms}{Number\:of\:terms}[/tex]
Sum of terms = 48 + 42 + 11 + 45 + 57 + 10 + 43 + 46 = 302
Number of terms = 8
[tex]Mean=\frac{302}{8}=37.75[/tex]
Calculating Median for Bakery B
[tex]Median=\frac{\left(43+45\right)}{2}=44[/tex]
Getting a Plot and Leaf Plot for Bakery B
Data for Bakery B in ascending order
10 11 42 43 45 46 48 57
STEM LEAF
1 0 1
2
3
4 2 3 5 6 8
5 7
So, from the above observation, we can conclude that Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric, as can be observed from the stem and leaf frequency plot.
Keywords: symmetric distribution, mean, media
Learn more about symmetric distribution, mean, media from brainly.com/question/4528114
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Answer:
Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric, as can be observed from the stem and leaf frequency plot.
Perpendicular to 3y=x-4 and passes through the point (-2,1)
Answer:
The equation is [tex]y=-3x-5[/tex]
Step-by-step explanation:
We are given;
The equation of a line 3y = x-4 A point (-2,1)Assuming the question requires we determine the equation of a line perpendicular to the given line and passing through the point given.
Step 1: Determine the slope of the given line
To determine the slope from an equation requires we write the equation in the form, y = mx + c, where m will be the gradient.
In this case;
[tex]3y = x - 4\\ y = \frac{1}{3}x-\frac{4}{3}[/tex]
Therefore, the slope is [tex]\frac{1}{3}[/tex]
Step 3: Determine the slope of the line in question
We know that the product of the slope of two perpendicular line is -1
That is;
m₁ × m₂=-1
Thus;
1/3 × m₂ -1
Hence; m₂ = -3
Step 3: Determine the equation of the line in question;
We have its slope, m₂ = -3
A point (-2, 1)
Taking another point (x,y)
Thus;
[tex]\frac{y-1}{x--2}=-3\\y-1 =-3(x+2)\\y-1 = -3x-6\\y=-3x-5[/tex]
Therefore, the required equation is [tex]y=-3x-5[/tex]
The equation of the line perpendicular to the line and passing through the point is y = -3x - 5
Equation of a lineGiven the equation 3y = x - 4
Find the slope of the line
y = 1/3 x - 4/3
The slope of the line is 1/3 and the slope of the line perpendicular is -3
Substitute the point (-2, 1) and the slope into equation
y - y1 = m(x-x1)
y - 1 = -3(x+2)
y - 1 = -3x - 6
y = -3x - 5
Hence the equation of the line perpendicular to the line and passing through the point is y = -3x - 5
Learn more on equation of a line here; https://brainly.com/question/13763238