To find the cost of renting a canoe for 7 hours, we can set up a linear equation using the given information. Using the point-slope form, we can find the equation of the line. Substituting x = 7 into the equation gives us the cost for 7 hours. The cost of renting a canoe for 7 hours is $100.25.
Explanation:To find the cost of renting a canoe for 7 hours, we can set up a linear equation using the given information. Let's define the variables:
x = number of hours
y = cost of renting a canoe for x hours
From the given information, we know that it cost $12 per hour to rent a canoe. Nate and his friends rented a canoe for 4 hours and paid $68. This gives us the first point on the line: (4, 68).
To find the equation, we can use the point-slope form: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
Using the slope formula, we can find the slope: m = (y2 - y1) / (x2 - x1) = (68 - 25) / (4 - 0) = 43 / 4 = 10.75.
Now we can plug in the values into the point-slope form: y - 68 = 10.75(x - 4).
To find the cost for 7 hours, we substitute x = 7 into the equation and solve for y: y - 68 = 10.75(7 - 4), y - 68 = 10.75 * 3, y - 68 = 32.25, y = 32.25 + 68, y = 100.25.
Therefore, the cost of renting a canoe for 7 hours is $100.25.
Final answer:
To calculate the cost of renting a canoe for 7 hours, first find the fixed cost by using the known rental time and cost. The equation is y = 12x + 20, where y is the total cost and x is the number of hours. For 7 hours, the cost is $104.
Explanation:
We are given that the cost to rent a canoe at Eagle Bay is $12 per hour. Nate and his friends rented the canoe for 4 hours, and they paid a total of $68. To find the equation, we need to consider that there might be a fixed cost in addition to the hourly charge. First, let's define our variables: let x be the number of hours the canoe is rented, and let y be the total cost.
Based on the information provided, we can create the equation y = 12x + b, where b is the possible fixed cost.
To find the fixed cost, we use the information that renting the canoe for 4 hours cost $68: 68 = 12(4) + b. Solving for b, we find:
68 = 48 + b
b = 68 - 48
b = 20
So, the fixed cost is $20, and the equation becomes y = 12x + 20. To find the cost of renting the canoe for 7 hours, we substitute 7 for x in our equation:
y = 12(7) + 20
y = 84 + 20
y = $104
The cost to rent the canoe for 7 hours would be $104.
Find the value of k so that the point A lies on the line given by equation.
A(2, 2), kx+(k+1)y=2
Answer:
k = 0
Step-by-step explanation:
Explanation:-
given straight line equation is k x+(k+1)y=2......(1)
The point A(2,2) lies on the equation is
substitute x = 2 and y=2
k(2) + (k+1)(2) =2
now simplify 2 k+2 k+2 = 2
subtracting '2' on both sides , we get solution is
4 k +2 -2 = 2-2
4 k =0
k = 0
Answer:
k = 0
Step-by-step explanation:
kx + (k + 1)y = 2
2k + 2(k + 1) = 2
2k + 2k + 2 = 2
4k + 2 = 2
4k + 2 - 2 = 2 - 2
4k = 0
4k ÷ 4 = 0 ÷ 4
k = 0
Show work please I don’t understand it.
Answer:
2<6
Step-by-step explanation:
2(n+3)-4
(2n + 6)-4
2n + 2
--------(both can be divided by 2)
2 2
n=2
2<6
the second line the the last i believe im not so sure about the graphing but i hope starting you off with 2<6 helps
A jar contains n nickels and d dimes. There are 24 coins in the jar, and the total value of the coins is $1.90. How many nickels and how many dimes are in the jar?
Answer:14 dimes 10 nickels
Step-by-step explanation:
24 coins total
14 X.10 = 1.40
10 x .05 = .50
1.40 + .50 = 1.90
Picture attached please help!! I don't understand these questions.
Answer:
a, e
Step-by-step explanation:
a. function A has a slope of -2/3. the negative means it goes down. function B is going down on the graph so both functions have neg. rates of change.
b. function A's slope is -2/3. function b has a slope of -1.
c. since both functions slopes aren't the same they are not parallel.
d. 2/3 is a lesser rate of change than 1.
e. looking at the graph, function b is linear. A is linear since the "x" is not squared, cubed, etc.
A triangle has an angle that measures 110°. The other two angles are in a ratio of 2:5. What are the measures of those two angles?
Answer:
20 and 50
Step-by-step explanation:
the angles of a triangle add up to 180 degrees.
so if 1 angle is 110, then the other two angles combined, add up to (180 - 110) = 70.
the other two angles are in a ratio of 2:5....added = 7
meaning 1 angle is 2/7 of total measure and the other angle is 5/7 of the measure
so one angle is : 2/7 of 70 = 2/7 * 70 = 140/7 = 20 <==
and the other one is 5/7 of 70 = 5/7 * 70 = 350/7 = 50 <==
Suppose that a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 60%. Which of these groups of numbers could represent a success?
A. 0, 1, 2, 3, 4, 5, 6
B. 0, 1, 2, 3, 4, 5, 6, 7
C. 0, 1, 2, 3, 4, 5, 6, 7, 8
D. 0, 1, 2, 3, 4, 5
Answer:
.0,1,2,3,4,5,6,7,8
The group which represents a success is D. 0, 1, 2, 3, 4, 5.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 60%.
Total outcomes which are numbers from 0 to 9 = 10
If the probability of success is 60%,
P(success) = 60/100 = 6/10
That is, 6 numbers out of 10 are the outcomes which leads to success.
The correct option is D. 0, 1, 2, 3, 4, 5, which is the only option containing 6 numbers.
Hence the correct option is D.
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Describe the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z”.
Answer:
The sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.
Explanation:
By inspection (watching the figure), you can tell that to transform the triangle XY onto triangle X"Y"Z", you must slide the former 5 units to the left, 1 unit down, and, finally, reflect it across the x-axys.
You can check that analitically
Departing from the triangle: XYZ
Translation 5 units to the left: (x,y) → (x - 5, y) Vertex X: (-6,2) → (-6 - 5, 2) = (-11,2)Vertex Y: (-4, 7) → (-4 - 5, 7) = (-9,7)Vertex Z: (-2, 2) → (-2 -5, 2) = (-7, 2)Translation 1 unit down: (x,y) → (x, y-1)
(-11,2) → (-11, 2 - 1) = (-11, 1)(-9,7) → (-9, 7 - 1) = (-9, 6)(-7, 2) → (-7, 2 - 1) = (-7, 1)Reflextion accross the x-axis: (x,y) → (x, -y)
(-11, 1) → (-11, -1), which are the coordinates of vertex X"(-9, 6) → (-9, -6), which are the coordinates of vertex Y""(-7, 1) → (-7, -1), which are the coordinates of vertex Z"
Thus, in conclusion, it is proved that the sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.
At a certain company, Joe sells 25% of the products, Cindy sells 40% of the products, and Jamie sells 35% of the
products. Which of the following graphs represents the sales of this company?
The graph that represents the sale of the company is the first graph as shown attached.
In the first pie chart, each salesperson's contribution is clearly depicted as a segment of the whole pie. Joe's 25%, Cindy's 40%, and Jamie's 35% are visually represented.
Pie charts are good for showing how much of something each person sells. They help us see who sells more without needing to do hard math.
With pie charts, it's easy to understand who sells the most just by looking at the colors and sizes of the slices. They make it simple to compare how much each person sells without having to do any fancy calculations.
need help! extra points.
Which two angles are alternate interior angles?
Answer:
3 and 2
7 and 6
are the alternate interior angles.
Graph the equation by plotting three
points. If all three are correct, the line
will appear.
-3y = 2x - 7
Answer:
Step-by-step explanation:
there's your graphed line
credits to desmos graphing calculator
Sandy is upgrading her Internet service. Fast Internet charges $45 for installation and $49.45 per month.
Quick Internet has free installation but charges $56.95 per month.
Part 1 out of 2
Complete the equation that can be used to find the number of months after which the Internet service
would cost the same. Use the variable x to represent the number of months of Internet service purchased.
The equation is
___+___=___
Answer:
x = 6 months.
The equation is given by $45 + ($49.45 × x) = ($56.95 × x).
Step-by-step explanation:
i) Let x be the number of months of Internet Service purchased till the Fast
Internet charges and Quick Internet charges become the same.
ii) Charges for Fast Internet for x months is given by $45 + ($49.45 × x)
iii) Charges for Quick Internet for x months is given by ($56.95 × x)
iv) According to the first statement we will now equate the equations in ii)
and iii) and solve for x.
Therefore, $45 + ($49.45 × x) = ($56.95 × x)
45 + 49.45 x = 56.95 x
Therefore (56.95 - 49.45) x = 45
7.50 × x = 45
Therefore x = 45 ÷ 7.5 = 6
Riley drink 4/5 quart of iced tea and her friend drink 0 3/10 quart how much more of a quart of iced tea did Riley drink than her friend
Answer:
[tex]\frac{1}{2}[/tex] quart
Step-by-step explanation:
Given:
Riley drink 4/5 quart of iced tea
And her friend drink 0 3/10 quart of iced tea
Question asked:
how much more of a quart of iced tea did Riley drink than her friend = ?
Solution:
Riley drank of iced tea = [tex]\frac{4}{5}[/tex]
Her friend drank of iced tea = [tex]0\frac{3}{10}[/tex]
= [tex]\frac{3}{10}[/tex]
We will subtract the share of her friend from Riley's share
Riley drank more than her friend =[tex]\frac{4}{5} - \frac{3}{10}[/tex]
= [tex]\frac{5}{10}[/tex]
= [tex]\frac{1}{2}[/tex]
Thus, Riley drank [tex]\frac{1}{2}[/tex] quart more than her friend.
Final answer:
Riley drank 1/2 quart more iced tea than her friend, which is the difference between 4/5 quart and 3/10 quart.
Explanation:
The question asks how much more of a quart of iced tea did Riley drink than her friend. Riley drank 4/5 quart and her friend drank 3/10 quart. To find out the difference, we subtract the smaller amount from the larger amount:
4/5 quart - 3/10 quart = 8/10 quart - 3/10 quart = 5/10 quart or 1/2 quart.
Therefore, Riley drank 1/2 quart more iced tea than her friend.
what of the following is not a characteristic of all parallelograms diagonals bisect each other be opposite angles are congruent C diagonals are angle bisectors deep is the sides are congruent
The correct option that is not a characteristic of all parallelograms is C, 'diagonals are angle bisectors,' as it does not apply to every parallelogram, unlike the other options listed.
Explanation:The question is related to the properties of parallelograms, and specifically, it asks which option is not a characteristic of all parallelograms. To answer this, we must review the properties of parallelograms:
Diagonals bisect each other.Opposite angles are congruent.The sides are parallel, but not necessarily congruent.Option A (Diagonals bisect each other) and Option B (Opposite angles are congruent) are indeed true characteristics of parallelograms. However, diagonals being angle bisectors is not a general characteristic of all parallelograms, making it incorrect for Option C. Finally, Option D (The sides are congruent) describes a property specific to a rectangle or a rhombus rather than all parallelograms. Thus the correct answer is C, diagonals are angle bisectors, as it is not a defining feature for all parallelograms. Parallelograms have diverse shapes like rectangles, squares, and rhombi, and this property doesn't apply universally.
how to solve u/5+3=1
First subtract 3: u/5 = -2
Now, because u is divided by 5, we can multiply by 5 to get u on its own.
u = -10
To check, -10/5 + 3 = 1
-2 + 3 = 1
1 = 1
This leaves us with a true statement, so the answer is correct.
hiro thinks -5 = -5 is hiro thinking correct
The bodega offers two deals on chicken nuggets. In deal #1 you can buy 5 chicken nuggets for $7.50. In deal #2 you can buy 8 chicken nuggets for $10.00. In which deal is each chicken nugget cheaper.
Answer:
The 2nd deal is better
Step-by-step explanation:
First you divide the chicken nuggets by the price and then find how much one chicken nugget costs. In this case $10 divided by 8 is $1.25 while $7.50 divided by 5 is $1.50. The first deal costs more for one chicken nugget so deal 2 is better
Answer:
deal 2 is better the chicken nuggets are cheaper and you could have more chicken nuggets even though it cost more then deal 1, 1 chicken nugget is cheaper in deal 2 than it is in deal 1 so I think you should go for deal 2 Hope I Helped :)
Step-by-step explanation:
How do use distributive property for -2.5(4x-8)+1.2(5x-1)
Answer:
Step-by-step explanation:
Can someone explain how to do this page I wasn't there when my teacher explained it
Answer:
You have to solve for the letter
Step-by-step explanation:
For example, Q5 is 40 - 5n = -2.
You subtract 40 from -2 and get -42 then you have 5n = -42.You divide 5 to -42 so [tex]\frac{-42}{5}[/tex].The answer is -8.4.*Use a calculator if necessary.*
~Hope this is helps (.^.)~
Is the following shape a parallelogram? If so, which condition proves it ?
A. Both pairs of opposite sides are parallel ( definition )
B. One pair of opposite sides are parallel and congruent
C. Both pairs of opposite sides are congruent
D. Both pairs of opposite angles are congruent
E. One angle is supplementary of both sides of its consecutive angles
F. The diagonals bisects each other
Answer:
B and F
Step-by-step explanation:
Option A is false, there is no information whether opposite sides are parallel.
Option B is true because of following parallelogram theorem.
Parallelogram theorem: If a quadrilateral has one set of opposite sides which are both congruent and parallel, then it is a parallelogram.
Option C is false, there is no information about any angles.
Option D is false, there is no information about any angles.
Option E is false, there is no information about any angles.
Option F is true because of following parallelogram theorem.
Parallelogram theorem: If a quadrilateral has diagonals which bisect each other, then it is a parallelogram.
9.360 seconds= How many hours?
Answer:
0.0026 mark brainliest
Step-by-step explanation:
Answer:
2.6 hours
Step-by-step explanation:
9360 second divide by 60 to get minutes
156 minutes divided by 60 to get hours
2.6 hours
Solve
A = P + PrT for A, given that P = $950,r = 3 1/2%, and t = 10 years.
Answer:
10 days the balance is $1,000, but then the balance drops to $950.
Step-by-step explanation:
For the first 10 days the balance is $1,000, but then the balance drops to $950.
whats the square root of 64
Answer:
The square root of 64 is 8. 8*8=64
Hope this helps,
:)
If 5x - 3y = 1 and x = 2y - 4, then x • y = ?
I don’t need an explanation of the answer since it’s multiple choice, but feel free to give an explanation if you want :) thank you and please answer quickly this is due tomorrow!!
Answer:
x = 2, y = 3
Step-by-step explanation:
i) It is given that 5x - 3y =1
ii) It is also given that x = 2y - 4
iii) we can substitute the value of x from ii) in the equation in i) and we will get 5(2y - 4) - 3y = 1 ⇒ 10y - 20 -3y = 1 ⇒ 7y = 21 ∴ y = 3
iv) substituting the value of y obtained in ii) we get x = (2 × 3) - 4 = 6 - 4 = 2.
v) Therefore x = 2.
A cylinder has volume 78 cm3 . What is the volume of a cone with the same radius and height? A 26 cm3 B 39 cm3 C 156 cm3 D 234 cm3
Answer:
Option A - [tex]26 \mathrm{cm}^{3}[/tex]
Step-by-step explanation:
Given: The volume of a cylinder = [tex]78 \mathrm{cm}^{3}[/tex]
Let us substitute the volume of cylinder in the formula.
The formula for volume of a cone is [tex]V=\frac{\pi r^{2} h}{3}[/tex] (1)
The formula for volume of a cylinder is [tex]V=\pi r^{2} h[/tex] (2)
Substituting [tex]V=78[/tex] in equation (2), we get,
[tex]\begin{array}{c}{V=\pi r^{2} h} \\{78=\pi r^{2} h}\end{array}[/tex]
Given that the cone has the same radius and height of that of the cylinder, let us substitute [tex]78=\pi r^{2} h[/tex] in equation (1)
[tex]\begin{array}{l}{V=\frac{\pi r^{2} h}{3}} \\{V=\frac{78}{3}} \\{V=26}\end{array}[/tex]
Thus, the volume of a cone with the same radius and height of a cylinder is [tex]26 \mathrm{cm}^{3}[/tex].
The volume of the cone is 26 cubic centimeters.
A cylinder has a volume of [tex]78 \;\rm{cm}^3[/tex].
We need to determine the volume of a cone with the same dimensions compared to a cylinder.
Now,
The formula for finding the volume of the cylinder is [tex]\pi r^2h[/tex].
The formula for finding the volume of the cone is [tex]\dfrac{1}{3}\pi r^2h[/tex].
Therefore, the volume of the cylinder is thrice the volume of the cone if we consider the same dimensions.
Thus,
[tex]\begin{aligned} 3 \times \rm{volume\;of\;the\;cone}&=78\;\rm{cm^3}\\&=26\;\rm{cm^3} \end{aligned}[/tex]
Hence, the volume of the cone is 26 cubic centimeters.
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The surface area of a tabletop is 5760 square inches. Which expression shows this number in scirntific notation?
Answer:
Scientific notation = 5.76 x 10³ square inches
Step-by-step explanation:
Standard notation = 5,760 square inches
Scientific notation = 5.76 x 10³ square inches
In 2004, about $38 out of every $100 spent on advertising was spent on television advertising. The amount spent on radio advertising was about 21% as much as was spent on television advertising. How much of every $100 spent on advertising was spent on radio advertising?
Answer:
$8
Step-by-step explanation:
Given: Television advertising= $38 out of every $100 spent on advertising.
Radio advertising= 21% as much as was spent on television ads.
As given there are $38 spent on television ads on every $100 of advertising.
∴ Amount spent on television ads= [tex]\frac{38}{100}[/tex]
Now, finding amount spent on radio advertising on every $100 spent on advertising.
We know, The amount spent on radio advertising was about 21% as much as was spent on television advertising.
∴ Amount spent on radio advertising= [tex]\frac{38}{100} \times \frac{21}{100}[/tex]
⇒ Amount spent on radio advertising= [tex]\$ 0.0798[/tex]
To know the amount spent on radio advertising on every $100 spending on advertising.
Amount spent on Radio advertising on every $100 spending= [tex]0.0798\times 100= \$ 7.98 \approx \$ 8[/tex]
Hence, $8 spent on radio advertising on every $100 spending.
About $7.98 out of every $100 spent on advertising was allocated to radio advertising, based on the information that $38 out of every $100 was used for television advertising and radio advertising accounted for 21% of the television advertising amount.
In 2004, about $38 out of every $100 spent on advertising was spent on television advertising. To find out how much of every $100 was spent on radio advertising, which was about 21% as much as was spent on television advertising, we apply the following calculation:
Amount spent on radio advertising = Television advertising amount × (Radio advertising percentage / 100)
Amount spent on radio advertising = $38 × (21 / 100)
Amount spent on radio advertising = $7.98
Therefore, $7.98 out of every $100 spent on advertising was spent on radio advertising.
Tavon has a gift card for $ 155 that loses $ 3.50 for each 30-day period it is not used. He has another gift card for $ 135 that loses $ 3 for each 30-day period it is not used.
a. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal.
b. What will the value of each card be when they have equal value?
Answer:
A) 40
B) $ 15
Step-by-step explanation:
A)An equation for the number of 30-day periods until the value of the gift cards will be equal
Let x be the number of time periods for which the gift card is not used, then
For the gift card $ 155 if it is not used for x periods, then the amount that will be lost is
155 - 3.50 x---------------------(1)
For the gift card $ 135 if it is not used for x periods, then the amount that will be lost is
135 - 3x---------------------- (2)
Now when both the amount lost is equal
[tex]155 - 3.50x = 135 - 3x[/tex]
solving the equation, we get
[tex]155 -135 = -3x + 3.50x[/tex]
20 = 0.5x
[tex]x = \frac{20}{0.5}[/tex]
x = 40
Thus the value of gift cards will be equal for 40 ,30 day periods.
B)The value of each card be when they have equal value
The two cards will have equal value after 40 30 day periods, this denotes that at this time, the value of each card will be equal.
Then
[tex]155 - 3.50x = 135 - 3x[/tex]
substituting x = 40, we get
[tex]155 - 3.50(40)= 135 - 3(40)[/tex]
[tex]155 - 140= 135 - 120[/tex]
[tex]15 =15[/tex]
when they have equal value, the value of each card will be $15
1/4 of 1% expressed as a decimal
Answer:
0.0025
Step-by-step explanation:
:)
1/4 of 1%, when expressed as a decimal, is equal to 0.0025
What do we mean by percentage?A percentage is a ratio with the second part always equal to 100. It represents parts per hundred.
How do we solve the given question?We have been given 1%.
We replace percentage in fraction, and then fraction to decimal.
1% = 1/100 = 0.01
Now, we need to calculate 1/4th of this value, that is, 0.25 multiplied by the above value,
= 0.25 * 0.01 = 0.0025
So, our answer is 0.0025.
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In circle A, ZBAE = ZDAE.
What is the length of BE?
O
O
14 units
17 units
27 units
34 units
V
3x-24
Incomplete question the complete question with the diagram is given below.
Answer:
The Correct option is second one 17 units.
Therefore the Length of BE is 17 units.
Step-by-step explanation:
Given:
∠BAE = ∠DAE
BE = 3x - 24
DE = x + 10
To Find :
Length of BE = ?
Solution:
∠BAE = ∠DAE .........Given:
As Chords that subtend congruent angles are congruent. That is equal angles subtends equal chords.
So , the chord BE and DE are equal
Substituting the values we get
[tex]BE=DE\\3x-24=x+10\\2x=34\\\\x=\dfrac{34}{2}=17\\\\x=17\ units[/tex]
Therefore the Length of BE is 17 units.
Answer:
Answer is C
Step-by-step explanation:
edge 2021
PLEASE HELP ME
Describe the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z”.
Answer:
the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z” are
i) reflect the the triangle about the x- axis.
ii) shift the result of i) by 1 upwards
iii) shift the result of ii) by 5 to the left
Step-by-step explanation:
the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z” are
i) reflect the the triangle about the x- axis.
ii) shift the result of i) by 1 upwards
iii) shift the result of ii) by 5 to the left