Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown. Shop Shawn used: y = 10 + 3.5x Shop Dorian used: y = 6x If Shawn and Dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental?
Answers
y = 10 + 3.5x
y = 6x
Then, both right sides are equal to each other:
6x = 10 +3.5x
6x - 3.5x = 10
2.5x = 10
x = 10/2.5 = 4
And:
y = 6(4) = 24.
Answer: They both rented the bikes for 4 hours and paid $ 24.
y = 10 + 3.5 * x
y = 6 * x
_____________
10 + 3.5 * x = 6 * x
10 = 6 * x - 3.5 * x
10 = 2.5 * x
x = 10 / 2.5
x = 4 hours
y = 6 * x = 6 * 4 = 24 dollars
y = 10 + 3.5 * x = 10 + 3.5 * 4 = 24 dollars
They both paid 24 dollars for 4 hours.
Related Questions
A conditional relative frequency table is generated by row from a set of data. The conditional relative frequencies of the two categorical variables are then compared.If the relative frequencies are 0.48 and 0.52, which conclusion is most likely supported by the data? A.) There is likely an association between the categorical variables because the relative frequencies are similar in value. B.) An association cannot be determined between the categorical variables because the relative frequencies are similar in value. C.) An association cannot be determined between the categorical variables because the relative frequencies are not similar in value. D.) There is likely an association between the categorical variables because the relative frequencies are both close to 0.50.
Find the surface area and volume of a cube with sides of 5.5 cm each.
642×50 2 Digit By 3 digit really bad at math sorry
The coefficient of 6x is ___. A.) 1 B.) 6 C.) x
Answers
put x=0 in the equation
2(0) +5y = 8
so,, y = 8/5
Final answer:
The y-intercept of the line represented by the equation 2x + 5y = 8 is 8/5. This is determined by rewriting the equation in slope-intercept form (y = mx + b), where 'b' represents the y-intercept.
Explanation:
The subject of this Mathematics question seems to be focusing on finding the y-intercept of the equation 2x + 5y = 8. In an equation like this, formatted in the style of a linear equation (y = mx + b), the y-intercept is represented by 'b'. This intercept is the point at which the line crosses the y-axis in a Cartesian plane.
If we rearrange the equation to the format y = mx + b, we get y = -2/5*x + 8/5. Therefore, the y intercept of the equation 2x + 5y = 8 is 8/5, which is the 'b' in our slope-intercept form equation.
Learn more about Y-Intercept Calculation here:
#SPJ11
3, 9, 13, 33, 51, ...
Which of the following functions can be used to find the nth tern of this sequence?
a.f(n)=n^2+2
b.f(n)=2n^2+1
c.f(n)=2n+1
d.f(n)=3n^2
Answers
Answer:
b. f(n) = 2n^2 + 1
Step-by-step explanation:
Thanks for explaining the nth thing to me. It all makes sense now :'D
I'll be honest I think you're at least a grade level above me in math.
It's b. because
f(n) = 2(1)^2 + 1
2(1) + 1
2 + 1 = 3 (first term)
f(n) = 2(2)^2 + 1
2(4) + 1
8 + 1 = 9 (second term) ...and so on. :)
B. 0.75
C. 0.9
D. 0.925
E. 1
Answers
Answers
Steps:
1) Divide the first number by 2 until you get to 1 (ignore decimals)
2) Multiply the second number so you have as many answers as the first
3) Cross out answers in the second column that match with an even answer in the first
4) Add the numbers that are left in the second column
Answer: 204
12 17 we cut it
6 34 we cut it with a line
3 68
1 136
..........................
12 x 7= (68+136)
12 x 7= 204
Answers
Answer:
Step-by-step explanation:
Multiply each term inside the brackets and be aware that is just
. So, we are given
:
Lets start by multiplying the outer term :
Now first inner :
Now second inner :
Now last :
Now, we must simplify the last term while keeping in mind is just
:
Now add up all like terms :
And that's it!
The pictures below have the questions I need help with.
Answers
I'm sure you know how to find the slope of a line if you know 2 points
on it ... The slope is ...
(difference in y-values) / (difference in x-values) .
Right ?
OK. Each line in these tables is a point on the graph of the table.
Pick two points from the table, and you can get the slope of the line
from them.
The first table (Plan-A) has these points in it:
1 . . . . . $20.15
2 . . . . . $20.30
3 . . . . . $20.45
4 . . . . . $20.60
You want to find the equation of the line with these 4 points on it.
That means you need to find the slope and the intercept of the line.
Take any two points straight from the table. I'll use the first two:
1 . . . . . $20.15
2 . . . . . $20.30
There you have two points on the line: (1, 20.15) and (2, 20.30) .
The slope is (difference in 'y') / (difference in 'x').
Difference in 'y' = (20.30 - 20.15) = 0.15
Difference in 'x' = (2 - 1) = 1
Slope of the line = (0.15) / 1 = 0.15
(What that really means is 15 cents per minute on Plan-A.)
Now you know that the equation of the line is [ y = 0.15x + intercept ].
Can you think of a way to find the intercept ?
Remember ... every point in the table is on the line.
So why not just take one of these points in the table, put it into the part of the equation that you already have, and watch the intercept fall out ?
You could use any point at all from the table.
I'll use the 3rd one.
y = 0.15x + intercept
20.45 = 0.15(3) + intercept
20.45 = 0.45 + intercept
Subtract 0.45 from each side: 20.00 = intercept
The equation of the graph for Plan-A is Charge = 0.15(minutes) + $20.00
===============================
Plan-B:
First two points:
Difference in y-values = (8.00 - 6.50) = 1.50
Difference in x-values = (10 - 5) = 5
Slope of the line = (1.50) / (5) = .30 (30 cents per minute)
Intercept = 5.00
Charge = 0.3(minutes) + $5.00
======================================
Plan-C:
Slope = 4.50 / 10 = 0.45
Intercept = zero
=================================
Plan-D:
Slope = (16.50 - 11.00) / (30 - 20) = 5.5/10 = 0.55
Intercept = zero
In each plan, the intercept is the cost just to sign up, before you use
the phone, and then the slope is the cost for each minute of talking on it.