Answer:
(17.5 / 120 - 2v) + (15 / v)
Step-by-step explanation:
Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v ,
chauffeur is paid $15/hour
gas cost = $3.5/gallon.
Gasoline cost per mile :
Cost per gallon = $3.5
Cost per gallon * 1/(m(v))
$3.5 * 1 / (120 - 2v) / 5
$3.5 * 5 / 120 - 2 v
= 17.5 / 120 - 2v
Time = distance / speed
Chauffeur cost = 15 per hour / v
Hence ;
Total cost :
Cost of gasoline + Cost of chauffeur
(17.5 / 120 - 2v) + (15 / v)
Answer would be - (17.5 / 120 - 2v) + (15 / v)
First Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v , The chauffeur is paid $15/hour. Then gas cost = $3.5/gallon. Gasoline cost per mile : Cost per gallon = $3.5 Cost per gallon * 1/(m(v)) When, $3.5 * 1 / (120 - 2v) / 5 $3.5 * 5 / 120 - 2 vThen result will be = 17.5 / 120 - 2v
Time = distance / speed Chauffeur cost = 15 per hour / v
Hence ;
The total cost will be : Cost of gasoline + Cost of chauffeur
(17.5 / 120 - 2v) + (15 / v)
Learn more about
https://brainly.com/question/1499535
Help! pictures are attached
Write equations (both, Point Slope & Slope Intercept Forms) of the line with
slope of -2 and point (9,2).
Answer:
Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]
Equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]
Step-by-step explanation:
We need to write equation of line having slope -2 and point (9,2)
a) Equation in Point Slope Form
The general equation of point slope form is: [tex]y-y_1=m(x-x_1)[/tex]
Where x₁ and y₁ are the points of line and m is slope.
x₁=9 and y₁=2 and m=-2
Putting values in formula and finding equation:
[tex]y-y_1=m(x-x_1)\\y-2=-2(x-9)[/tex]
So, Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]
b) Equation in Slope Intercept Form
The general equation of Slope Intercept Form is: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept
Finding y-intercept using slope m=-2 and point(9,2)
[tex]y=mx+b\\2=-2(9)+b\\2=-18+b\\b=2+18\\b=20[/tex]
The equation in slope m=-2 and b=20 is:
[tex]y=mx+b\\y=-2x+20[/tex]
So, equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]
Calculating income with Commission
A salesperson earns $600 per month plus a commission of 20% of sales. Find the minimum amount of sales need to receive a total income of at least $1500 per month.
Answer:
$4500Step-by-step explanation:
Step one:
given data
monthly earning= $600
commission =20%= 0.2
let the number of sales be x
and the total earnings be y
Hence the expression for the earnings is given as
y=0.2x+600
Step two:
Required:
the value of x. when y=$1500
1500=0.2x+600
1500-600=0.2x
900=0.2x
divide both sides by 0.2
x=900/0.2
x=4500
The minimum amount of sales need is $4500
8. Rectangles AFGE and A B C D are similar; FG = 4 centimeters, EG = 6 centimeters
centimeters.
AC
15 cm
4 cm
G
6 cm
E
D
What is the length of BC in centimeters?
Answer:
14
Step-by-step explanation:
i got it right and you can tell that they are almost the same size.
5 points
In the month of August, Eduardo and Maria Chavez budgeted $250 for
groceries. They actually spent $236.53. How much more or less did they
spend than they budgeted? *
$13.47 less?
$13.47 more?
Answer:
13.47 less!
Step-by-step explanation:
Answer:
13.47 less
Step-by-step explanation:
This can be explained by taking their budget $250 which is b and subtracting amount spent s
A-B is 13.47
You can also solve this by asking yourself if
250 is greater than or less than A
250 > 236.53 True
250 < 236.53 False
you purcharse 3 items for 4.23 about how much did you spend ?
Answer:
$12.69
Step-by-step explanation:
3 times 4.23=12.96
Answer:
$12.69
Step-by-step explanation:
you would multiply 4.23 by 3
hope this helps
I need help with this question???
Answer:
X = 27
just trust me, im doing similar work as you
Answer: X = 27
Step-by-step explanation:
What is the slope between the points (5,-4) and (-3,4)
-1
4
0
1
Answer:
The answer is -1.
Step-by-step explanation:
You have to apply gradient formula :
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
So you will have to substitute the coordinates into the equation. Let (x1,y1) be (-3,4) and (x2,y2) be (5,-4) :
[tex] m = \frac{ - 4 - 4}{5 - ( - 3)} [/tex]
[tex]m = \frac{ - 8}{8} [/tex]
[tex]m = - 1[/tex]
4.Given AABC, with AB = 5cm, BC = 7cm and AC = 8cm, what is the area of the triangle?
16. [-12 Points]
DETAILS
CURRENMEDMATH11 3.S.001.
Solve the equation. A calculator may be used.
Express your answer to the nearest tenth.
0.8 1.4.
X
0.45 1
Express your answer to the nearest hundredth.
1.4
0.8
Х
0.45
=
1
Answer:
Answer: A. 5:4 Step-by-step explanation: Since the question mentions twelfths of a pie, it is easier to say each pie has 12 pieces or 36 total pieces ordered from the 3 pies. Ty ate 5 and Rob ate 15 which is 3 times more than Ty. A total of 20 pieces have been eaten from the 36 you started with. Eaten = 16. So the ratio is 20:16 which is simplified to = 20 and Remaining 5:4.
What is the equivalent amount in year ten of an expenditure of $5,000 in year one, $6,000 in year two, and amounts increasing by $1,000 per year through year ten?
Answer:
The correct answer is the equivalent amount is $139,059.41
Step-by-step explanation:
According to the scenario, the computation of the equivalent amount in year ten is shown below;
= $5,000 × (P/A, 10%,10) + $1,000 × (P/G, 10%,10)
= $5,000 × 6.1466 + $1,000 × 22.8913
= $30,723 + $22,891.30
= $53,614.30
Now the equivalent amount is
= $53,614.30 × (F/P, 10%,10)
= $53,614.30 × 2.5937
= $139,059.41
Hence, the equivalent amount is $139,059.41
Use the distributive property to identify the equivalent expression.
8x + 10
Answer:
36
Step-by-step explanation:
8squared+10=18
18x2=36
Answer:
ummmmmmmmmmmmmmmmmmmmmmmm
What is the discriminant? What does it tell you about the types of solutions you can have?
Answer:
Step-by-step explanation:
ax² + bx + c = 0
Discriminant D = [ - b ± √(b² - 4ac) ] / 2a
If D > 0, then quadratic equation has 2 real roots ;
If D = 0, then quadratic equation has 1 real root ;
If D < 0, then quadratic equation has 0 real roots .
(Car repair) The bill including parts and labor for the repair of your car is shown. From what is given, can you determine how many hours were spent on labor ? Explain.
Answer:
2.25 hours or 2 hours and 15 minutes
Step-by-step explanation:
Using the information from the bill shown in the question we can determine the number of hours spent by first subtracting the amount of money spent on parts from the overall total, which would leave us with the total amount spent on labor. Now we would simply divide this by $44 which is how much each hour of labor costs. Finally, this would leave us with the total number of hours of labor that the mechanic put into the car repair.
$384 - $285 = $99
$99 / 44 = 2.25 hours or 2 hours and 15 minutes (0.25 * 60 minutes)
what is the sum of 1 and another 1
Answer:
1+1=2
Step-by-step explanation:
Answer:2jk
itts3
Step-by-step explanation:
1+1=3
3. Repeat this process to find the width and height of a newer 48-inch television whose
screen has an aspect ratio of 16:9.
Do not include units in your answer - write only the Mumber rounded to the nearest tenth
What is the height?
Answer:
23.5"Step-by-step explanation:
Please see attached a sketch of the television
the size of a television is described by the length of its diagonal in inches.
in this case, the diagonal of the television is 48"
we are told that the aspect ratio is 16:9
hence the dimension of the television as seen from the draft is
length= 16x
height=9x
Applying Pythagoras theorem
(16x)^2+(9x)^2= 48^2
256x^2+81x^2=2304
337x^2=2304
divide both sides by 337 we have
x^2=2304/337
x^2=6.8367
x=√6.8367
x=2.6
What is the height
H=9x
=9(2.6)
=23.5"
Consider the equation 1.5x+4.5y=18. Where does the graph intersect the y-axis? *
Answer:
intersect y axis at (0,4)
Step-by-step explanation:
lemme know if u need work
Can someone please answer number 35
Answer:
I can't understand.
this is very dark
A group of four friends attend a movie. The expression below represents the total
amount of dollars spent by the group after purchasing four tickets, P small bags of
popcorn, and D drinks,
32 + 5P + 3D
Question Requirement:
Simplify expression that represents the total cost of tickets and snacks or beverages
Answer:
The total cost of tickets, snacks and beverages =
$54
Step-by-step explanation:
The first thing here is to ascertain the prices of each item (ticket, a bag of popcorn, and drinks). We assume that the price of the ticket is $8 (32/4) since there are four tickets for four friends, and $8 x 4 = $32. Now, we also assume that a small bag of popcorn costs $2 while drinks cost $4 each.
From the equation, we can ascertain that 5 bags of popcorn were bought while 3 bottles of drinks were purchased.
Since the total cost spent is represented by the expression,
32 + 5P + 3D
Therefore, the total cost spent by the four friends
= 32 + (5 * 2) + (3 * 4)
simplifying the above expression
= 32 + 10 + 12
= $54
Answer:
just gonna snatch these points if u dont mind
Step-by-step explanation:
what is the sum of 26391 and 7298
Answer:
..............
Step-by-step explanation:
33689
Write 32 +24 as a product of two factors using the gcf and the distributive property
Answer:
4 * 14
Step-by-step explanation:
Given
32 + 24
Required
Write as a product of two factors
First, we need to get the GCF of 32 and 24
The factors of 32 and 24 are:
[tex]32 = 1, 2, 4, 8, 16, 32.[/tex]
[tex]24 = 1, 2, 3, 4, 6, 8, 12, 24[/tex]
The GCF (greatest common factor) is 8
So, the expression 32 + 24 can be rewritten as:
[tex]32 + 24= 4(8 + 6)[/tex]
Add 8 + 6
[tex]32 + 24= 4(14)[/tex]
[tex]32 + 24= 4 * 14[/tex]
Hence,
32 + 24 can be rewritten as 4 * 14
Answer:
it is 8 (4+3) !!!! I just did the question! :)
Step-by-step explanation:
In 2008, the price of gasoline was $2.79 per gallon. In 2009, the price of gasoline was
$3.79 per gallon. What is the percent of increased in the price of gasoline, rounded to
the nearest whole percent? Type in your number with NO decimals and a % after the number.
Answer:
36%
Step-by-step explanation:
line up $ and % data like this:
$2.79 represents 100%
$3.79 represents X%
cross multiply
X*2.79 = 3.79*100
divide both sides by 2.79
X= 3.79*100 / 2.79 ≈ 136%
so it increased 36%
William has 90 to spend on juice boxes for a preschool picnic. Each juice box cost 2.51 what is the maximum number her can buy
Answer:
35 x 2.51 = 87.85
36 x 2.51 = 90.36
If he cannot spend more than 90 than the maximum amount he can afford is 35.
Step-by-step explanation:
Answer: 35.8565737052
Thanks for the help ;)
Answer:
A.
Step-by-step explanation:
Answer: 75 per month
Step-by-step explanation:
solve the following a/5 + 3=8
Answer: a = 1
You want the letters on the left and all numbers on the right. First you must get rid of the three so to get rid of it you must take it away (a/5=8-3). = a/5=5. Then you want to have the a by itself and so divide by 5. (a=1)
BE is the diameter of circle A. What's the measure of ∠BCE?
Diagram below
Question options:
1)
88°
2)
90°
3)
180°
4)
93°
Answer:
2. 90°
Step-by-step explanation:
According to the central angle theorem, an inscribed angle is always twice the measure of the central angle.
Thus, the central angle A, is 180°, because it is a straight angle.
Therefore, the measure of the inscribed angle, <BCE would be ½ of 180°.
m<BCE = 90°
at is the equation of the line passing through the points (2/5, 19/20) and (1/3, 11/12) slope-intercept form? y = 1/2 * x - 3/4 y = 1/2 * x + 3/4 y = 3/4 * x - 1/2 y = 3/4 * x + 1/2
Answer:
Step-by-step explanation:
2/5, 19/20) and (1/3, 11/12) in slope-intercept form? ... B. y = 1/2x + 3/4 ... D. y = 3/4x + 1/2 ... [tex]3}^{2}x = \frac{1}{?27} [/tex]find x.
PLZ HELP ME!! BRAINILEST IF RIGHT!!!
Answer:
I believe that the answer is B)
Find the lcm of 300,400 and 500
A country clerk has given amount of money to budget for cultural events
Based on the scattplot , what does the point (0.18) represent
A.the total amount of the budget given to the country
B.the total amount of the budget spent after 18 months
C.the average amount spent out of the udget each month
D.the predicted amount of time after which the entire budget will. e spent
Answer:
A. the total amount of the budget given to the country
Step-by-step explanation:
In order to know the answer, you have to check what the y-axis represents. In the graph above, it represents the "Budget Remaining," which is expressed in thousands of dollars. On the other hand, the x-axis represents the "Time," which is expressed in months.
Point (0,18) shows the total amount of the budget for the Cultural Events in the country. It starts at 18,000 dollars and decreases as months pass by. This is shown by the graph's "negative slope." This means that as the number of months increases, the amount of money decreases.