Answer:
$25
Step-by-step explanation:
Derive an equation to represent the cost of using each ride.
Sal's Car Rides:
Using 2 pairs of values from the table, (0, 40) and (20, 80), find the slope, m (fee per mile).
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{80 - 40}{20 - 0} = \frac{40}{20} = 2 [/tex]
The y-intercept, b, is the one-time fee for fuel. This is the value of the cost ($) when number of miles traveled is 0.
Thus, b = 40.
Substitute m = 2, and b = 40 into [tex] y = mx + b [/tex].
Equation for the total cost for Sal's Car Rides would be:
[tex] y = 2x + 40 [/tex].
Find the total cost to be charged if a customer requires the a car service for 80 miles if he chooses Sal's Car Rides.
Simply substitute x = 80 in [tex] y = 2x + 40 [/tex].
[tex] y = 2(80) + 40 = 200 [/tex]
The customer would pay $200.
Ray's Limo:
The equation that represents the total cost (y) to be charged for number of miles (x), given that $2.50 is charged per mile plus a one-time fee of $25 for fuel, would be:
[tex] y = 2.5x + 25 [/tex].
If a customer uses Ray's Limo services for 80 miles, the cost charged would be:
Substitute x = 80 in [tex] y = 2.5x + 25 [/tex].
Thus:
[tex] y = 2.5(80) + 25 = 225 [/tex].
The fee the customer would pay = $225 for using Ray's Limo services.
Therefore, if the customer takes Sal's Car Rides instead of Ray's Limo, he would save, $225 - $200 = $25.
The customer would save $25.
Ben and Joel are raising money for their class trip by selling wrapping paper. Ben raised $43.50 by selling 12 rolls of solid paper and 9 rolls of printed paper. Joel raised $51.50 by selling 8 rolls of solid paper and 15 rolls of printed paper. Find the cost of each type of wrapping paper.
Answer:
Solid paper costs 1.75 each
Printed paper costs 2.50 each
Step-by-step explanation:
Given:
Ben = $43.50 (12 rolls solid paper and 9 rolls of printed paper)
Joel = $51.50 (8 rolls solid paper and 15 rolls of printed paper)
Let x = solid paper
Let y = printed paper
12x + 9y = 43.50
8x + 15y = 51.50
Find x:
8x + 15y = 51.50
8x = 51.50 - 15y
x = (51.50 - 15y)/8
Substitute x:
12x + 9y = 43.50
12(51.50 - 15y)/8 + 9y = 43.50
(618 - 180y)/8 + 9y = 43.50
8 (618 - 180y)/8 + 8*9y = 43.50 * 8
618 - 180y + 72y = 348
-108y = 348 - 618
-108y = -270
-108y/-108 = -270/-108
y = 2.50
x = (51.50 - 15y)/8
x = (51.50 - 15(2.5) /8
x = (51.50 - 37.50)/8
x = 14/8
x = 1.75
To check: x = 1.75 ; y = 2.5
12x + 9y = 43.50
12(1.75) + 9(2.5) = 43.50
21 + 22.50 = 43.50
43.50 = 43.50
8x + 15y = 51.50
8(1.75) + 15(2.5) = 51.50
14 + 37.50 = 51.50
51.50 = 51.50
Order the decimals and fractions, least to greatest. Write all answers as decimals.7/100, 7.07, 0.71, 7/10 pls tell me quick
Step-by-step explanation:
0.07, 0.7, 0.71, 7.07 trying to hit 20
Find the equation of the line through point (4,-7) and parallel to y =-2/3x + 3/2
Answer:
Hi
Step-by-step explanation:
Good bye. ;) (Stranger-Danger!) :)
Which phrase best describes the translation from the graph y = (x + 2)2 to the graph of y = x2 + 3?
O 2 units left and 3 units up
O 2 units left and 3 units down
2 units right and 3 units up
O 2 units right and 3 units down
Answer: O 2 units left and 3 units down
The phrase that best describes the y = (x + 2)² and it is translated to
y = x² + 3 is 2 units left and 3 units up.
What are some rules of transformations?Suppose we have a function f(x).
f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).
f(x ± c) = Horizontal left/right shift by c units (x - + c, y).
(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).
f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).
f(-x) = Reflection over y axis, (-x, y).
-f(x) = Reflection over x-axis, (x, -y).
Given, A function y = (x + 2)² and it is translated to y = x² + 3.
Now, The part x² from (x + 2)² is translated 2 units to the left, and the part
+ 3 is translated up by 3 units.
learn more about transformation here :
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If 12 gallons of water are divided evenly into 7
buckets, how much will be in each bucket?
Write the equations of the lines with the following descriptions
8. m = 2/-3 and passes through the point (3,-5)
Can someone help me with this
Answer:
we need to see the table above
Answer:
i cant see the table on top of the graph
Step-by-step explanation:
sorry but take another good picture
A recipe for salad dressing calls for 3 tablespoons of oil for every 2 tablespoons of vinegar. The line represents the relationship between the amount of oil and the amount of vinegar needed to make salad dressing according to this recipe.
Answer:
3:2, 3 to 2
Step-by-step explanation:
The transformation indicated on the graph is a ____. A. Translation B. Reflection C. Rotation
Answer:
rotation
Step-by-step explanation:
Answer:
the answer is rotation
Step-by-step explanation:
hope this helps
win rounds a whole three digit number up to nearst 10.Hos number is 340. What is the smallest the original number could have been
True or false?
The constant of proportionality is 30.
Miguel saves $15 per month.
Kevin can travel 22 1/2miles in 1/3hour. What is his average speed in miles per hour?
Answer:
67.5 miles per hour
Explanation:
22 1/2 * 3 = 67.5
Answer:
67 1/2
Step-by-step explanation:
22 1/2 : 1/3 = 67 5/10 = 67 1/2
What is 6/3(2+2)
First correct answer gets brainliest :D
Answer:
8
Step-by-step explanation:
Answer: 8 is your answer
i need help, can’t figure it out or understand this
Answer:
17°
Step-by-step explanation:
sum of angles in a triangle=180°
x+17°+6x+10°+4x-34°=180°
11x-7°=180°
11x=180°+7°
11x=187°
x=17°
Which one is this please answer it and get thanks from me if ur right
♡ The Question ♡
- Which of the following is equivalent to the power shown below? 8^4
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
☆ The Answer ☆
- Your answer should be C!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
- When your power is being shown as 8^4, this can be represented as 'Eight four times.' This means it could be, 8, 8, 8, 8. Hope this helps!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
☆ Tips ☆
- No tips provided!
is 14.5d=87 a function
yes it is a function
Dave doughnuts sell a dozen doughnuts for 5.64. what is the unit cost per doughnuts?
Answer:
give me some DONUTS!!!!!!!
Step-by-step explanation:
and a coffee at the if you will in fact give me a caramel Pacheco
(X-2)^2+8^2=x^2 how do U find the answer
Answer:
17
Step-by-step explanation:
Given expression;
(x - 2)² + 8² = x²
To solve this problem, expand the expression in the parentheses;
(x- 2)(x -2) + 64 = x²
( x² - 2x -2x + 4) + 64 = x²
x² - 4x + 4 + 64 = x²
x² - 4x + 68 = x²
Collect like terms;
x² - x² - 4x + 68 = 0
-4x = -68
x = [tex]\frac{68}{4}[/tex] = 17
what is the range of f?
A) -6≤x≤7
B) The x-values -6,0,2,4 and 7
C) The x-values -5,1,3, and 4
D) -5≤x≤4
Answer:
The range of f(x) is (−∞,∞), which is all real numbers. In fact, this range holds for any base for the log. 3. For 0">a>0 and a≠1, f(x)=ax has a range of (0,∞).
Need help with this please
download docx? sorry cant help ya with that bud
Step-by-step explanation:
PLEASE HELP! Determine the slope and the y-intercept of the table.
To find the slope, use two (or three) points and plug them into y2 - y1/ x2 - x1.
Once you have the slope, plug one point and the slope into . . .yup, point-slope form. y-y₁=m(x-x₁)
After doing this, you will have the slope and the y-intercept.
What is the solution to the equation 4x + 2(x − 3) = 3x + x − 12? (5 points)
Group of answer choices
−3
−1
1
3
Answer:
Answer- 3 hope I helped you
Step-by-step explanation:
Add (-x + 4) + (3x + 2).
Answer:
2x+6
Step-by-step explanation:
The expression equivalent to (-x + 4) + (3x + 2) is 2(x + 3).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(-x + 4) + (3x + 2)
Combine like terms.
-x + 3x + 4 + 2
2x + 6
2(x + 3)
Thus,
The final expression is 2(x + 3).
Learn more about expressions here:
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Which of the following data sets represents a linear function?
A. (2, 4), (3, 9), (4, 16), (5, 25)
B. (-2, -1), (-3, 0), (-4, 1), (-5, 0)
C. (2, 12), (3, 6), (4, 0), (5, -6)
D. (2, 1), (3, 0), (4, 1), (5, 4)
I will give brainliest if you are correct
Answer:
C
Step-by-step explanation:
to be a linear function the change in X and the change in Y has to be the same hence slope
A. x changes by+ 1 see 2,3,4,5, and y changes by +5, +7, +9 so A is not a linear function
B. X changes by -1 in all, y changes +1 for first 3 then -1 last, so B is not a linear function
C. X changes by +1 for all and y changes by -6 for all so is it is a linear function
D x changes by +1 for all and y changes by -1, +1, +3 so no linear fn.
047
. Find the prime factorization of the number 3,240
O2x34 x 54
O 23 x 34 x 10
O 23 x 34 x 5
O 23x35x5
PLS ITS WORTH 10 AND
Answer:
2³ x 3⁴ x 5
Step-by-step explanation:
The problem here is to find the prime factorization of the given number. Prime factorization is the process of breaking down a number into its basic prime numbers;
3240
10 x 324
2 x 5 x 324
2 x 5 x 2 x 162
2 x 5 x 2 x 2 x 81
2 x 5 x 2 x 2 x 3 x 27
2 x 5 x 2 x 2 x 3 x 3 x 9
2 x 5 x 2 x 2 x 3 x 3 x 3 x 3
2³ x 3⁴ x 5
Answer:
2^3 x 3^4 x 5
Step-by-step explanation:
8 x 81 x 5 = 40 x 81
Solve the exponents.
-kiniwih426
list two factors that will change your auto insurance.
um, im not sure but probably:
-driving record
-income
A local hamburger shop sold a combined total of 762 hamburgers and cheeseburgers on Friday. There were 62 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Friday?
Answer:
Step-by-step explanation:
We have to come up with a system of equations in order to solve this because we have 2 unknowns: hamburgers and cheeseburgers. h is hamburgers and c is cheeseburgers. We know that both of these together totaled 762, so
h + c = 762
We also know that more cheeseburgers were sold than were hamburgers. 62 more cheeseburgers, to be exact. So the second equation is
c = h + 62.
Now we will sub that second equation into the first one and solve for h:
h + c = 762 becomes
h + h + 62 = 762 and
2h + 62 = 762 and
2h = 700 so
h = 350. So 350 hamburgers were sold and 762 - 350 is the number of cheeseburgers. 412 to be exact.
Write each of the following equations in slope-intercept form using y = mx + b
a) y - 10 = 6 (x + 4)
b) y+5 = 1/2 (x + 30)
Answer:
A X= y-10/6= -4 B x= 2(y+5)−30
Step-by-step explanation:
Use Cymath
5x-5=3x +17
what is the answer?
Answer:
do 8x12 maybe
Step-by-step explanation:
im sorry i hope this helps
Represent 3.4×1.2 in an area model using base 10 blocks.
Answer: There are 3 tens in 3.4 and 4 ones in 3.4. There is one base ten block in 1.2 and 2 ones in 1.2
Step-by-step explanation: