WILL GIVE 30 POINTS AND BRAINLIEST
Two auto dealers, Winston's and Car-Mart, are measuring how quickly they sell cars. Both dealers sell their cars at a steady rate.
•After 3 days, Winston's has 32 cars left. After 5 days, Winston's has 12 cars left.
•The number of cars at Car Mart is shown in the table.
QUESTIONS:
How many cars per day does Car Mart sell? How did you use the table to find this rate?
How many cars per day does Winston's sell? Explain how you found this rate.
Which dealership sells more cars per day? How many more?
Which dealership started with more cars? How many more cars did that dealership start with? Explain how you found your answer.
Answers
Step-by-step explanation:
Winston's:
After 3 days: 32 cars
After 5 days: 12 cars
Difference in number of cars = 32 - 12 = 20
Difference in number of days: 5 - 3 = 2
Selling rate: 20/2 = 10 cars per day
Car-Mart:
After 2 days: 43 cars
After 3 days: 32 cars
Difference in number of cars = 43 - 32 = 11
Difference in number of days: 3 - 2 = 1
Selling rate: 11/1 = 11 cars per day
Car-Mart sells 1 car per day more than Winston's.
Starting numbers of cars:
Winston's:
Each day less, there are 10 more cars.
Day 3, 32 cars
Day 2, 42 cars
Day 1, 52 cars
Day 0, 62 cars
Winston's started with 62 cars.
Cart-Mart:
Each day less, there are 11 more cars.
Day 2, 43 cars
Day 1, 54 cars
Day 0, 65 cars
Car-Mart's started with 65 cars.
Car-Mart started with more cars. It had 3 more cars than Winston's
Based on the information given in the table, it should be noted that the number of cars that Car Mart sells is 11 cars per day while Winston sells 10 cars per day.
How to solve for the number of cars.The difference in number of cars for Winston will be:
= 32 - 12
= 20
The difference in number of days will be: = 5 - 3 = 2Therefore, the selling rate will be:
= 20/2
= 10 cars per day
The difference in the number of cars for Car-Mart will be:
= 43 - 32 = 11 cars per day.
The difference in number of days will be:
= 3 - 2
= 1
The selling rate will be:
= 11/1
= 11 cars per day
Therefore, Car-Mart sells 1 car per day more than Winston.
Also, the starting numbers of cars for Winston is 62 cars while Car-Mart's started with 65 cars. Therefore, Car-Mart had 3 more cars than Winston's.
Learn more about tables on:
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Related Questions
Divya wants to rent a car to drive for the weekend. The rental company has a special that allows her to rent it for $200 for the weekend, plus $0.07 per mile. Divya only has $230. Write an inequality, solve, and determine her limitations when renting.
Answers
Answer:
[tex]200 + 0.07m \leq 230[/tex]
A maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.
Step-by-step explanation:
Given that:
Rent to be paid for the car in the weekend = $200
Charges to be paid per mile = $0.07
Total money available with Divya = $230
To find:
The inequality as per her limitations and solution to the problem.
Solution:
Let the number of miles for which Divya can drive = [tex]m[/tex] miles
Charges for one mile = $0.07
Charges for [tex]m[/tex] miles = $0.07[tex]m[/tex]
Total charges for renting and [tex]m[/tex] miles = Rental charges + Operational charges
Total charges for renting and [tex]m[/tex] miles = $200 + $0.07[tex]m[/tex]
These are charges must be lesser than equal to the amount of money available with Divya.
Therefore, we can write:
[tex]200 + 0.07m \leq 230[/tex]
Subtracting 200 from both the sides:
[tex]0.07m \leq 30[/tex]
Dividing both sides with 0.07:
[tex]m \leq \dfrac{30}{0.07}\\m\leq 428.6[/tex]
Therefore, a maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.
Select all ordered pairs that satisfy the function
y = 4x +3.
O (-1-1)
(211)
(4,7)
(71)
Answers
Answer:
(-1,-1 )
and (2,11)
Step-by-step explanation:
put first value to x and second value to y and see if y satisfy the equation
Emily makes $24 per hour. She worked 80 hours of regular time for the last pay
period and 5 hours of overtime at $36 per hour.
a. What was her gross pay?
b. How much money in deductions was taken off her cheque if her net pay was
$1719.50?
C. What percent was taken off as deductions? (to one decimal place)
Answers
Answer:
A. The gross pay is $2100 (24×80)+(5×36)
B. 2100-1719.50 = $380.5
C. (1719.50/2100) × 100 = 81.9%
A tela de um celular é um retângulo de 5,2 cm de largura por 8,6 cm de comprimento. Calcule a área da tela desse celular, em m². Dica: 1m² = 10000 cm²
Answers
Responda:
0,004816 m²
Explicação passo a passo:
Dado que :
Dimensão da tela retangular do celular = 5,6 cm por 8,6 cm
A área de um retângulo = comprimento * largura
Área da tela do celular = 5,6 cm * 8,6 cm = 48,16 cm²
A área em m²:
1m² = 10000cm²
Conseqüentemente,
(48,16 / 10.000) m²
= 0,004816 m²
Translate a point (x, y) 3 units left and 5 units up. Then translate the image 5 units right and 2 units up. What are the coordinates
of the point after the translations?
The coordinates are
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Given the point
P(x, y)
Please note that when we translate a point 'c' units left, the 'c' units are subtracted from the x-values, and when translating a point 'c' units right, we add the 'c' units to the x-values.
Also, note that when we translate a point 'c' units down, the 'c' units are subtracted from the y-values, and when translating a point 'c' units up, we add the 'c' units to the y-values.
After First Translation:
3 units left and 5 units up
P(x, y) → P'(x-3, y+5)
After Second Translation:
Translate the image 5 units right and 2 units up.
P'(x-3, y+5) → P''(x-3+5, y+5+2) = P''(x+2, y+7)
Thus, the coordinates of the point(x, y) after the translations are: P''(x+2, y+7)
TAKING AN EXAMPLE
Let us consider that point
P(0, 0)
After First Translation:
3 units left and 5 units up
P(0, 0) → P'(0-3, 0+5) = P'(-3, 5)
After Second Translation:
Translate the image 5 units right and 2 units up.
P'(-3, 5) → P''(-3+5, 5+2) = P''(2, 7)
Thus, the coordinates of the point P(0, 0) after the translations are:
P''(2, 7)Answer: P''(2, 7). (hope this is what you wanted)!
The third and fourth number in an exponential sequence 100 and 500. what are the first and second numbers in this sequence?
Answers
Answer:
4 and 20
Step-by-step explanation:
100 times 5 is 500. If we go backwards 500 ÷ 5 = 100.
100 ÷ 5 = 20. 20 ÷ 5 = 4.
An exponential sequence is a sequence that grows more every time. It would get really big really quickly.
The first and second numbers in this sequence is 4 and 20
Given that,
The third and fourth number in an exponential sequence 100 and 500.Based on the above information, the calculation is as follows:
[tex]= 500 \div 100[/tex]
= 5
And,
[tex]= 100 \div 5 = 20, \\\\20 \div 5 = 4[/tex]
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through: (-3,-5), parallel to y = 2x + 2
Answers
Answer:
y = 2x + 1
Step-by-step explanation:
Since you have an equation and a point, all you need to do is substitute the coordinates into the equation and then solve for the y-intercept (or "b"):
y = mx + b
y = 2x + 2
(-3, -5)
-5 = 2(-3) + b
-5 = -6 + b
-5 + 6 = b
b = 1
Now you have your final equation:
y = 2x + 1
*Remember that parallel lines have the same slope, so finding a new slope is not needed!
lin paid $94 for 6 meals. How much would 9 meals cost?
Answers
Answer:
140.4
Step-by-step explanation:
Answer:
$141.01 and if it is the nearest whole number it would be $141
Step-by-step explanation:
first you have to do 94 divided by 6. you do this to see how much 1 meal cost.
then you get: 15.67
now you take 15.67x3=47.01
cuz we need 3 more meals. we know this cuz we have 6 and want 9 so 6-9 is 3.
now we take 47.01+94=141.01
we just need to add 3 to the 6 we have to make 9 meals.
so your answer would be $141.01
plz give brainliest!
The ratio of the sides of two similar polygons is 3:2. The area of the smaller polygon is 24cm squared. What is the area of larger polygon
Answers
Answer: 36cm
Step-by-step explanation:
From the question, we are informed that the ratio of the sides of two similar polygons is 3:2 and that the area of the smaller polygon is 24cm squared.
Therefore, the area of the larger polygon would be calculated as:
= 24cm ÷ 2/3
= 24cm × 3/2
= 36cm
A bag contains 4 yellow, 2 red, and 6 green marbles. Two marbles are drawn. The first is replaced before the second is
drawn. A random variable assigns the number of red marbles to each outcome. Calculate the expected value of the random
variable.
A) 0.67
B) 0.56
C) 0.17
D) 0.33
Answers
Here's why:
2+6+4= 12
2/12= 1/6
1/6= .166666667 or about .17
I hope this helps:)
Answer:
d
Step-by-step explanation:
Writing in Slope-Intercept Form, 4 Ways (3, 2) & (-3, -4)
help plz:)
Answers
Answer:
[tex]let \: slope \: be \: s \\ s = \frac{( {y}^{1} - {y}^{o} ) }{( {x}^{1} - {x}^{o} ) } \\ s = \frac{( - 4 - 2)}{( - 3 - 3)} \\ s = \frac{ - 6}{ - 6} \\ s = 1[/tex]
0.75x - y = - 2.1
0.6y 2.4x +9
Answers
Answer:
4x-3
Step-by-step explanation:
Yea
Find the equation in slope intercept form
(-8,-2) and (-4,6
Answers
Answer:
y = 2x + 14
Step-by-step explanation:
Answer:
y = 2x + 14
Step-by-step explanation:
Use the slope equation:
[tex]m = \frac{y2-y1}{x2-x1}[/tex]
[tex]m = \frac{6-(-2)}{-4-(-8)}\\m = \frac{8}{4}\\m = 2[/tex]
Next, find the y-intercept by subbing in one of the points and the slope into what you have so far in the equation:
(-8, -2)
y = mx + b
-2 = 2(-8) + b
-2 = -16 + b
-2 + 16 = b
b = 14
Now you have your final equation:
y = 2x + 14
pls help i have to find the mistake they made when he solved the equation
2(x + 3) = 6
2x + 3 = 6
- 3 - 3
2x = 3
+2 +2
x = 1.5
Answers
Answer:
Mistake is 2x + 3 = 6. It should be 2x + 6 = 6. Therefore x = 0
Step-by-step explanation:
2(x + 3) = 6
Expand the bracket:
2x + 6 = 6
Subtract 6 from both sides:
2x = 0
Divide both sides by 2
x = 0
By what number must be 566 be divided so as to give a quotient 15 and reminder 11?
Answers
Step-by-step explanation:
566 - 11 = 555
555 / 15 = 37.
The number is 37.
Answer:
[tex]\boxed{\pink{\sf \leadsto The \ required \ number \ is \ 37 . }}[/tex]
Step-by-step explanation:
We need to find the number By what number must be 566 be divided so as to give a quotient 15 and reminder 11.
So , let us take the number be x .
Now , we know that ,
[tex]\boxed{\red{\bf Dividend = Quotient\times Divisor + Remainder }}[/tex]
Here , 566 will be Dividend , 11 is remainder and 15 quotient . x will be the Divisor .
[tex]\implies Dividend = Quotient\times Divisor + Remainder \\\\\implies 566 = 15 \times x + 11 \\\\\implies 566 = 15x + 11 \\\\\implies 15x = 566 - 11 \\\\\implies 15x = 555 \\\\\implies x =\dfrac{555}{15}\\\\\underline{\boxed{\orange{ \tt \implies x = 37}}}[/tex]
Hence the required number is 37 .Julie’s Great Dane weighs 45 kg and Anne’s cat weighs 7 kg. How much bigger, as a percentage, is Julie’s dog?
Answers
Answer:
0.3%
Step-by-step explanation:
45kg-15kg=30kg
Percentage: 30kg = 0.3%
so 0.3%
hope it helps!
The amount of Interest a store charges a customer for buying on the installment plan is a?
A) annual percentage rate
B sales tax
C unpaid balance
D) finance charge
Answers
annual percentage rate
Qustion 21
Ranjan walks a distance of 5 km towards East,
then turns to his right and walks for 4 km. He
then turns left and walks for 4 km. At this
point he turns to his right and walks for 2 km.
He turns right and walks 1 km. How many
kilometers is he from the starting point?
A 10 km
Answers
Answer:
8km
Step-by-step explanation:
Going by the sketch attached in the picture, the distance between starting point and present position is 8 km.
The sketch is crucial to determine the answer to the question, Hence, kindly check the picture attached for reasoning being the choice of result.
Which facts could be applied to simplify this expression? Select three options.
(Negative 5 x minus 3 y) minus (negative x minus 3 z)
To subtract like terms, subtract the coefficients, not the variables.
Like terms are terms that contain the same variable, raised to the same power.
The simplified expression is Negative 6 x minus 3 y + 3 z.
The simplified expression is Negative 4 x minus 3 y + 3 z.
Negative (negative x) is equivalent to Negative x, so Negative 5 x minus x = negative 6 x
Answers
Answer:
Negative 4 x minus 3 y + 3 z.
Step-by-step explanation:
We need to simplify the given expression : (-5x-3y)-(-x-3z)
Here, x,y and z are variables.
Combining like terms, we get :
(-5x-3y)-(-x-3z) = (-5x-3y)+x+3z
= (-5x+x)-3y+3z
= -4x-3y+3z
Hence, the equivalent expression is -4x-3y+3z. Hence, the correct option is (b) "The simplified expression is Negative 4 x minus 3 y + 3 z".
Answer:
a,b,d
Step-by-step explanation:
When the ? method , interest is charged only on the balance remaining in your account ?
A) annual percentage rate
B) unpaid balance
C) sales tax
D) finance charge
Answers
the function c(x)=18x-10 represents the cost in dollars. How many tickets can you buy?
Answers
Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.
So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 188 dollars.
The solution would still clear your concept though.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
[tex]c(x)=18x-10[/tex]
The slope-intercept form of the line equation
We know that the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
so
comparing with the slope-intercept form of the line equation
here:
rate of change = 18 c(x) or y represents the costand
'x' represents the number of tickets
Assuming the total cost i.e. c(x) = $188
In order to determine the value of x, set c(x) = 188
i.e.
188 = 18x -10
switch sides
188x - 10 = 170
add 10 to both sides
18x - 10 + 10 = 188 + 10
18x = 198
Divide 18 to both sides
18x/18 = 198/18
x = 11
Therefore, if you can buy x = 11 tickets if you pay 170 dollars.
If 2a+4b=5 and a is equal to three times b, what is 3a?
Answers
Answer:
3A = 3(1 1/2) = 4 1/2
Step-by-step explanation:
2A + 4B = 5
A = 3B
2(3B) + 4B = 5 [substitute the A for the 3B]
10B = 5 so B = 1/2 [now plug the info in]
2A + 4(1/2) = 5
2A + 2 = 5 [subtract 2 from both sides of the equation]
2A = 3 [divide by 2 to isolate A]
A = 3/2 [now plug in the answers to check your work]
2(3/2) + 4(1/2) = 5
6/2 + 4/2 = 3 + 2 = 5
  Can someone pleaseeee help if you’re correct I’ll give u brainlist
Answers
Answer:
Just about 3.6
Step-by-step explanation:
a² + b² = c²
√(a² + b²) = c
√(2² + 3²) = c
√(4 + 9) = c
√(13) = c
3.605551275 = c
c ≈ 3.6
Answer:
p = 3 as angle C and angle D are equal which means they are isoceles triangle and their base sides are equal i.e DB=CB so p. = 3
Given the following diagram, find the missing measure. m 4 = 2x°, m 2 = (4/3)x°, m 3 = 20°, find x. 10 30 20 60
Answers
Answer:
B. 30 degrees
Step-by-step explanation:
Find the diagram attached
From the diagram:
Interior angles are m<3 and m<2
Exterior angle = <4
using the rule that says that the sum of interior angles is equal to the exterior angle we have:
m<2+m<3 = m<4
(4/3)x°+20 = 2x°
multiply through by 3:
4x° + 60 = 6x°
4x°-6x° = -60
-2x° = -60
x°= -60/-2
x° = 30°
Hence the value of x is 30 degrees
Which value is NOT a solution of the inequality -2x + 5<7?
-3
5
7
1
HELP PLEASE
Answers
Answer:1
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
-2*x+5-(7)<0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
-2x - 2 = -2 • (x + 1)
Equation at the end of step
1
:
STEP
2
:
2.1 Divide both sides by -2
Remember to flip the inequality sign:
Solve Basic Inequality :
2.2 Subtract 1 from both sides
x > -1
Inequality Plot :
2.3 Inequality plot for
-2.000 X - 2.000 > 0
One solution was found :
x > -1
Answer:
its 1, i think...
Step-by-step explanation:
If they are asking which one would equal to -2x+5<7 just combine like terms by moving the 5 to the 7 and get 7-5=2. So -2x=2, then 2/-2 is -1. Basically the answer is x=-1. But it seems like thats not a choice...
Rewrite the following expression using one or more properties of logarithms and evaluate? Plz help :)
Answers
Answer:
[tex]log( \frac{1}{ {10}^{ - 5} } ) = log( {10}^{5} ) = 5 log(10) = 5[/tex]
5 is the right answer.Jolene and Samantha begin a trip from the same place at the same time. If Jolene's speed is 40 mph and
Samantha's speed is 50 mph, how many hours will it take for Samantha to get 25 miles ahead
Answers
Answer:
Step-by-step explanation:
Jolene speed =40 mph
Samantha speed=50mph
let x be the time Samantha needs to be ahead of Jolene
40x+25=50x
25=50x-40x
25=10x
x=2.5 hours
If W + 6 = 3 and v-4 = 2, what is the value of w + v?
Answers
Answer:
w = - 3 and v = - 2
Step-by-step explanation:
Because w + 6 = 3 you would subtract 6 and whatever you do to one side you would do to the other.
w= - 3
Answer:
[tex]w + v = 3[/tex]
Step-by-step explanation:
Solve for w
[tex]w + 6 = 3[/tex]
Move 6 to subtract 3.
[tex]w = 3 - 6 \\ w = - 3[/tex]
Solve for v
[tex]v - 4 = 2[/tex]
Move 4 to add 2
[tex]v = 4 + 2 \\ v = 6[/tex]
Solve for w+v
Substitute w = -3 and v = 6
[tex]w + v = - 3 + 6 \\ w + v = 3[/tex]
I need this math problem done as soon as possible!
Answers
Answer:
See below
Step-by-step explanation:
Parent function:
y = 3ˣTransformed function:
y = 4(3)⁻²ˣ⁺⁸ + 6, (note. I see this as 8, sorry if different but it doesn't make any change to transformation method)Transformations to be applied:
f(x) → f(-x) reflection over y-axisf(-x) → f(-2x) stretch horizontally by a factor of 2f(-2x) → f(-2x + 8) translate 8 units rightf(-2x + 8) → 4f(-2x + 8) stretch vertically by a factor of 44f(-2x + 8) → 4f(-2x + 8) + 6 translate 6 units upThe equation `2x - 3 = 4x + 3` is modeled above. What value of `x` makes the equation true?
Answers
2x=4x+6
-2x=6
Divide by -2
X=-3