Answer:
Rides cost $4
Games cost $2.50
Step-by-step explanation:
Let g = cost of games
Let r = cost of rides
6g + 3r = 27
2g + 9r = 41 Multiple this through by -3 and then add to the equation above.
-3(2g + 9r) = (41) -3
-6g - 27r = - 123
6g + 3r = 27
-24r = -96 Divide both sides by -24
r = 4 This is the cost of the rides.
Plug is 4 for r in either of the two original equations to solve for g
6g + 3r = 27
6g + 3(4) = 27
6g + 12 = 27 Subtract 12 from both sides
6g = 15 Divide both sides by 6
g = 2.5 This is the cost of the games.
find the perimeter and area
Answer:
P=22 a=30
Step-by-step explanation:
a= L x W
6x5=30
the right side is the same size as the top line so both are 5.
Perimeter is adding every number, and the line between 3 and 2 is smaller than both so it would equal less, 1.
5+5+6+2+3+1
18. Without doing any calculations, do you think Cylinder 1 and Cylinder 2 will have the same volume? Explain your reasoning. Cylinder 1 4 cm om Cylinder 2 on Fill in each box to complete the following statements. 4 cm To the nearest tenth, the volume of Cylinder 1 is To the nearest tenth, the volume of Cylinder 2 is
Without doing any calculations, do you think Cylinder 1 and Cylinder 2 will have the same volume?
No, because the radius are different. In the first cylinder the radius is 4cm and 7cm in the second one.
The volume V of a cylinder is given by
[tex]V=\pi r^2h[/tex]where Pi is 3.1416, r is the radius and h is the height.
Then, the volume of cylinder 1 is
[tex]V_1=(3.1416)(4^2)(7)cm^3[/tex]which gives
[tex]V_1=351.9cm^3[/tex]Now, the volume of cylinder 2 is
[tex]V_2=(3.1416)(7^2)(4)[/tex]which gives
[tex]V_1=615.8cm^3[/tex]Therefore, the answer are
[tex]\begin{gathered} \text{cylinder 1, }V_1=351.9cm^3 \\ \text{cylinder 2, }V_2=615.8cm^3 \end{gathered}[/tex]help meeeeeeeeeeeeeee pleaseeeeeee
Answer: Width = 4.7 meters, Length = 6.7 meters
Step-by-step explanation:
Let the width be [tex]w[/tex]. It follows that the length is [tex]w+2[/tex].
[tex]w(w+2)=32\\\\w^2+ 2w-32=0\\\\w=\frac{-2 \pm \sqrt{2^2 -4(1)(-32)}}{2(1)}\\\\w \approx 4.7 \text{ } (w > 0)\\\\\implies w+2 \approx 6.7[/tex]
Write the quadratic equation in Standard From whose graph has the following: x-intercepts: -3, 0 passes through the point (2, 10)
The standard form of the quadratic equation is 6y = 5x² + 17x + 6.
What is the quadratic equation?
A quadratic equation is an equation such that there is a quadratic polynomial.
Given that the x-intercept is (-3,0). The graph passes through the point (2, 10).
Assume that the equation is y = ax² + bx + 1.
Putting x = -3 and y = 0 in y = ax² + bx + 1:
0 = a×(-3)² + b×(-3) + 1
9a - 3b + 1 = 0 ....(i)
Putting x = 2 and y = 10 in y = ax² + bx + 1:
10 = a×(2)² + b×(2) + 1
4a + 2b - 9 = 0 ....(ii)
Multiply 2 with (i) and 3 with (ii), then add them:
18a - 6b + 2 + 12a + 6b - 27 = 0
30a - 25 = 0
a = 5/6
Putting a = 5/6 in 9a - 3b + 1 = 0:
9×(5/6) - 3b + 1 = 0
15/2 - 3b + 1 = 0
17/2 = 3b
b = 17/6
Putting the value of a and b in y = ax² + bx + 1:
y = (5/6)x² + (17/6)x + 1
6y = 5x² + 17x + 6
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Complete the equation of the line through (-10,-7) and (-5, -9).
Use exact numbers.
y =
Answer:
y=2/5x-3
Step-by-step explanation:
So, first, let's find the slope. m=y1-y2/x1-x2. We will use our points and plug them into this equation. -9-(-7)/-5-(-10)=2/5. Our slope is 2/5. Now, let's find the y-intercept. We only need 1 point, I will choose (-10,-7). y=mx+b will help us find the y-intercept. -7=2/5(-10)+b. B is the y-intercept. -7=-4+b. -7-(-4)=-3. Our y-intercept is -3. So, using our y-intercept and slope, the equation is: y=2/5x-3
It is Nadine’s birthday, and she is making walnut brownies for her sleepover. She invited eight of her friends to her party. The recipe that she is using makes twenty-four brownies, but she only wants to make eight. The recipe for twenty-four calls for \large 4\frac{1}{2} cups of walnuts. How many cups of walnuts will she need for eight people?
1 1/2 cups of walnuts she will need for eight people.
In the given question,
It is Nadine’s birthday, and she is making walnut brownies for her sleepover.
She invited eight of her friends to her party.
The recipe that she is using makes twenty-four brownies, but she only wants to make eight.
The recipe for twenty-four calls for [tex]4\frac{1}{2}[/tex] cups of walnuts.
We have to find how many cups of walnuts she needs for eight people.
From the question we know that the recipe that she is using makes twenty-four brownies.
For making twenty-four brownies she needs [tex]4\frac{1}{2}[/tex] cups of walnuts.
We can write [tex]4\frac{1}{2}[/tex] in simplified form by multiplying the 4 by 2 then add the result of multiplying 4 by 2 to 1.
So [tex]4\frac{1}{2}[/tex] = 9/2
24 brownies = 9/2 cups of walnuts
So 1 brownies = (9/2)/24 cups of walnuts
We can write it as
1 brownies = 9/2×1/24 cups of walnuts
Simplifying
1 brownies = 9/48 cups of walnuts
Since she have to make eight brownies.
So 8 brownies = 9/48×8 cups of walnuts
Simplifying
8 brownies = 9/6 cups of walnuts
8 brownies = 3/2 cups of walnuts
8 brownies =1 1/2 cups of walnuts
Hence, 1 1/2 cups of walnuts she will need for eight people.
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A person chooses 2 gumdrops from a jar containing only 4 gumdrops. The gumdrops are flavored apple, peach, grape, andstrawberry. Find the set representing the event E that the strawberry is chosen first.
Given
Flavored:
A: Apple
P: Peach
G: Grape
S: Strawberry
Procedure
Combinatios
[tex]\mleft\lbrace SA,SG,SP\mright\rbrace[/tex]In the diagram, what is the relationship between segments AC and BC? Explain your answer.
In the diagram the relationship between AC and BC is that they are the hypotenuse if the right angle triangles ADC and BDC and they are equal
What is a hypotenuse?The longest side in a right triangle is called the hypotenuse. In a right triangle, it is the side opposite the right angle.
The right triangle's hypotenuse is longer than its other two sides
When a perpendicular bisector (CD) bisects a line (in this case AB) the hypotenuse formed in the process are equal
The base and the perpendicular side, are related in accordance with the Pythagoras theorem. The square of the hypotenuse of a right triangle is the sum of the squares of its base and perpendicular side.
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How much material will Dmitri’s nom need for the tent, including the floor?
Given
Graph
Procedure
Translate solve and check:
"Twice a number, increased by three times the difference of the number and 3 is 11"
Answer:
number is 4
Step-by-step explanation:
let n be the number then twice the number is 2n and the difference of the number and 3 is n - 3 , so
2n + 3(n - 3) = 11 ← distribute parenthesis and simplify left side
2n + 3n - 9 = 11
5n - 9 = 11 ( add 9 to both sides )
5n = 20 ( divide both sides by 5 )
n = 4
As a check
twice the number is 2 × 4 = 8
increased by 3 times the difference of n and 3 is
8 + 3(4 - 3) = 8 + 3(1) = 8 + 3 = 11 ← Correct
Write the equation of the line shown in slope-intercept form.у6543212X9 1034-56 78-3 -2 -1-1-2190 Tutorial
slope of intercept from the equation of line is
[tex]\begin{gathered} y=mx+c \\ \text{where c is the intercept part of y} \\ c=1 \\ l\in e\text{ cuts y-a}\xi s\text{ at 1} \\ so\text{ point (0,1)} \\ and\text{ cut on 2nd place at 3 on x-a}\xi s \\ so\text{ point is (3,0)} \\ slope(m)=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{0-1}{3-0} \\ m=-\frac{1}{3} \\ \text{equation of line is} \\ y=-\frac{1}{3}x+1 \end{gathered}[/tex]a³+ 1 + 2a² + 2a, a3 - 1 and a²+a2 +1
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One spring day, Evan noted the time of day and the temperature, in degrees Fahrenheit. His findings are as follows: At 6 a.m., the temperature was 58° F. For the next 3 hours, the temperature rose 1° per hour. For the next 4 hours, it rose 2° per hour. The temperature then stayed steady until 6 p.m. For the next 3 hours, the temperature dropped 2° per hour. The temperature then dropped steadily until the temperature was 62° at midnight. On the set of axes below, graph Evan's data.
The graph of the Evan's data is attached below.
Dylan noted the time of day and the temperature, in degrees Fahrenheit, and his findings are as follows: At 6 a.m., the temperature was 58° F. For the next 3 hours, the temperature rose 1° per hour. For the next 4 hours, it rose 2° per hour. The temperature then stayed steady until 6 p.m. For the next 3 hours, the temperature dropped 2° per hour. The temperature then dropped steadily until the temperature was 62° at midnight. The data points are in the form of time and temperature. The data points are 6 AM = 58, 7 AM = 59, 8 AM = 60, 9 AM = 61, 10 AM = 63, 11 AM = 65, 12 PM = 67, 1 PM = 69, 6 PM = 69, 7 PM = 67, 8 PM = 65, 9 PM = 63, and 12 AM = 62.
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Find the slope of a line that contains the points A(−8,3)and B(−4,6)
Answer:
You have to use the formula:
(y-y1)/(y2-y1) =(x-x1)/(x2-x1). So draw a graph and place the points A and B on the Graph, then put the numbers in the formula. A(-8=x1, 3= y1), B(-4=x2,6=y2). You will get the formula and consequently the slope.
Please help me on this and show the steps I really need help understanding this and I don’t know how to do it and im stressed so please help!
I will mark brainliest
For the given isosceles triangle LMK, the distance between the points L and K is found as 5 units.
What is defined as the distance formula?The Euclidean distance equation is another name for the distance formula used to calculate the distance between two in a two-dimensional plane.For the given question,
The coordinates of the points L and K taken from the graph are-
L = (-7, 4)
K = (-4, 8)
The distance between the points are found by the distance formula given as;
d = √(x₂ - x₁)² + (y₂ - y₁)²
Where x and y are the respective coordinates of two given points.
put the value;
LK = √(-4 + 7)² + (8 - 4)²
LK = √(3)² + (4)²
LK = √25
Taking square root both sides.
Lk = 5 units.
Thus, for the given isosceles triangle LMK, the distance between the points L and K is found as 5 units.
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7 less than the quotient of a number X and twelve is five times the number which answer represents the situation
Given that:
7 less than the quotient of a number X and twelve is five times the number
The quotient is the result after dividing one number by another.
Therefore,
7 less than the quotient of a number X and 12 =
[tex]\frac{X}{12}\text{ - 7}[/tex]Is five times the number:
[tex]\frac{X}{12}-7\text{ = 5X}[/tex]ANSWER:
[tex]\frac{X}{12}-7\text{ = 5X}[/tex]write each number using the root symbol
25^2/5
7^5/7
rationalize each denominator
[tex]\frac{1}{5\sqrt{3} \sqrt{2} }[/tex]
[tex]\frac{1}{\sqrt{5} \sqrt[3]{5} }[/tex]
Answer:
See attached image
Step-by-step explanation:
how long will it take to get to 280 kilo. at a rate of 70 kilo./per hour
Hi can you help me find the correct answer to this?
x=3 , 8
Explanationremember the square of a binomyal
[tex](a\pm b)^2=a^2\pm2ab+b^2[/tex]Step 1
given
[tex]\sqrt{x+1}\text{ =x-5}[/tex]we need to isolate x, so
a) rise each side to power 2
[tex]\begin{gathered} \sqrt{x+1}\text{ =x-5} \\ (\sqrt{x+1})\text{ }=(x-5)^2 \\ x+1=x^2-2*5*x+5^2 \\ x+1=x^2-10x+25 \\ subtrac\text{ x in both sides} \\ x+1-x=x^2-10x+25-x \\ 1=x^2-11x+25 \\ subtract\text{ 1 in both sides} \\ 1-1=x^2-11x+25-1 \\ hence \\ x^2-11x+24=0 \end{gathered}[/tex]Step 2
solve the quadratic equation:
b) use the quadratic formula
[tex]\begin{gathered} it\text{ says} \\ for\text{ ax}^2+bx+c=0 \\ the\text{ solution for x is} \\ x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \end{gathered}[/tex]so
i)let
[tex]\begin{gathered} ax^2+bx+c=x^2-11x+24 \\ so \\ a=1 \\ b=-11 \\ c=24 \end{gathered}[/tex]ii) now, replace in the formula
[tex]\begin{gathered} x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ x=\frac{-(-11)\pm\sqrt{-11^2-4(1)(24)}}{2(1)} \\ x=\frac{11\pm\sqrt{121-96}}{2} \\ x=\frac{11\pm\sqrt{25}}{2}=\frac{11\pm5}{2} \\ so \\ x_1=\frac{11+5}{2}=\frac{16}{2}=8 \\ x_2=\frac{11-5}{2}=\frac{6}{2}=3 \end{gathered}[/tex]therefore, the solutions are x= 3 and x= 8
so, the answer is
x=3 , 8
I hope this helps you
Jennifer Lopez met her 10 cousins at a family reunion. The number of male cousins (x) is 2 less than the number of female cousins (y). How many (male,female) cousins were there? (not including Jennifer)
Answer:
Explanation:
Given that Jennifer Lopez has 10 cousins
The number of male cousins is x
The number of female cousins is y
Since x is 2 less than y, we have:
x = y + 2 ...............................................................................(1)
The total number of cousins is 10, we have:
x + y = 10 ..............................................................................(2)
Substituting equation (1) in (2)
(y + 2) + y = 10
y + y + 2 = 10
2y + 2 = 10
Subtract 2 from both sides
2y = 10 - 2
2y = 8
Divide both sides by 2
y = 8/2 = 2
Substitute the value of y into (1)
x = 2
what is the slope of the graph of y=12x -19
Answer:
12 is the slope of the graph!
Step-by-step explanation:
y=mx+b
m represents the slope
So, 12 is your slope in the graph
b represents the y-intercept
So, -19 is your y-intercept in the graph
Therefore, your answer to your question the slope is 12.
Hope this helps!
What is the quotient (x2 + 10x + 9) ÷ (x + 9)? (1 point)
x − 9
x − 1
x + 1
x + 9
(x2 + 10x + 9) ÷ (x + 9) The quotient is x + 1.
The correct option is (C)
Given,
In the question:
([tex]x^{2}[/tex] + 10x + 9) ÷ (x + 9)
To find the what is the quotient ?
What is the quotient?
The number that is being divided (in this case, 15) is called the dividend, and the number that it is being divided by (in this case, 3) is called the divisor. The result of the division is the quotient.
Now, According to the question:
x + 1
≡[tex]x + 9\sqrt{x^{2}+10x +9 }[/tex]
[tex]x^{2}[/tex] + 9x
- -
-------------------------
x + 9
x + 9
---------------
0
Hence, (x2 + 10x + 9) ÷ (x + 9) The quotient is x + 1.
The correct option is (C) .
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Translation of a PointWhat is the image point of (5,-5) after a translation right 2 units and up 3 units?Submit Answer
ANSWER
(7, -2)
EXPLANATION
We want to know the image point after a translation.
A translation is basically a shift in the position of the object.
The object point is (5, -5) and it translates 2 units right and 3 units up.
That means there is a shift +2 units on the x axis and +3 units on the y axis.
Therefore, the image point is:
(5 + 2, -5 + 3)
= (7, -2)
That is the image point.
what is the decimal form of 100/3 100/5 and 100/6? determine whether each repeats or terminates
what is the decimal form of 100/3 100/5 and 100/6? determine whether each repeats or terminates
to know the decimal form, just make the division
Step 1
[tex]\begin{gathered} \frac{100}{3} \\ \frac{100}{3}=100\text{ divide by 3} \\ \text{operate} \\ 100\text{ divide by 3 = 33 and 1 to left} \\ \end{gathered}[/tex]every time you divide you will have a residual number (1),
so
100=(33*3)+1
when you divide the 1 by 3, you will have
1=(3*0.3)+0.1
and
10=3*3 +1
,so the 3 will repeat forever
Step 2
[tex]\begin{gathered} \frac{100}{5}=20 \\ \end{gathered}[/tex]so the decimal form of 100/5 is 20
Step 3
[tex]\frac{100}{6}[/tex][tex]\frac{100}{6}=16.66[/tex]when you divide 100 by 6 you have
[tex]\begin{gathered} 100=(16\cdot6)+4 \\ 100=96+4 \\ 16\text{.} \\ \text{and} \\ \frac{4}{6}=0.666 \\ so\text{ , the answer is } \\ \frac{4}{6}+16=16.6666 \\ \end{gathered}[/tex]I hope it helps you.
A food truck caters an event attended by 100 guests. Every guest orders one of two possible dishes: a salad or a turkey plate. The price of each meal decreases as more of that particular type are ordered. The price of a salad is $10.00 minus $0.06 for each salad ordered. The price of a turkey plate is $12.00 minus $0.02
multiplied by the square of the number of turkey plates ordered. Guests pay for their meal only after everyone has placed their order.
Using differentiation, find the maximum revenue for the food truck.
Remember that the number of meals is a positive integer. Round revenue to the nearest cent.
The Maximum Revenue, R for the food truck will be $528.056.
What is termed as maximum value?Maximum revenue is the highest value of a function within a given set of ranges. The maximum value of the function under the entire range is known as the absolute maxima, and the minimum value is recognized as the absolute minima.
Total Guests = 100
Each guest orders 1 of 2 dishes
Salad price = $10 - 0.06x
Turkey price = $12 - 0.02y²
So x + y = 100S = 10 - 0.06x
T = 12 - 0.02y²
Revenue = sx + ty
Revenue = (10 - 0.06x)x + (12 - 0.02y²)y
y = 100 - x
Therefore, Revenue = (10 - 0.06x)² + (12 - 0.02*(100 - x)²)*(100 - x)
R = 10x - 0.06[tex]x^{2}[/tex] + (12 - 0.02*(10000 - 200x + x²))*(100 - x)
R = 10x - 0.06[tex]x^{2}[/tex] + (12 - 200 + 4x -0.02x² )*(100 - x)
R = 10x - 0.06[tex]x^{2}[/tex] + (-188 + 4x -0.02 x² )*(100 - x)
R = 10x - 0.06[tex]x^{2}[/tex] + (-188 + 4x -0.02x² )*100 -x (-188 + 4x -0.02x²)R = 10x - 0.06[tex]x^{2}[/tex] + -18800 + 400x -2x² -x (-188 + 4x -0.02x²)
R = 10x - 0.06[tex]x^{2}[/tex] + -18800 + 400x -2x² + 188x - 4x² +0.02x³ R = 10x - 0.06[tex]x^{2}[/tex] + -18800 + 588x -6x² + 0.02x³
R = -18800 + 598[tex]x[/tex] - 6.06[tex]x^{2}[/tex] + 0.02[tex]x^{3}[/tex]
Using differentiation,dR/dx = 598 - 12.12x + 0.06x²
Equating to zero,598 - 12.12x + 0.06x² = 0Dividing both sides by 2, we have:299 - 6.06x + 0.03x² = 0x = -(-6.06)/(2*0.03) + root((-6.06)² - 4*0.03*299) / 2*0.03x = 101 - root(36.7236 - 35.88) / 0.06x = 101 - 14x = 86.94 ≅ 87
Therefore, when you sell 87 salad plates and 13 turkey dishes, that is where you will make Revenue.
Revenue = (10 - 0.06*87)*87 + (12 - 0.02(13)²)*13
Revenue = 416 + 112
R ≅ $528
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What terms can be combined with a^2
Answer:
a^4 with a^2
Step-by-step explanation:
Giing that f(x)=3x^2-x-5, g(x)=-1 what is (f+g)(x)
SOLUTIONS
Giving that f(x)=3x^2-x-5, g(x)=-1 what is (f+g)(x)
[tex]\begin{gathered} f(x)=3x^2-x-5 \\ g(x)=-1 \end{gathered}[/tex][tex](f+g)(x)=f(x)+g(x)[/tex]Adding up the two function:
[tex]\begin{gathered} (3x^2-x-5)+-1 \\ simplify\text{ the bracket} \\ 3x^2-x-5-1 \\ 3x^2-x-6 \end{gathered}[/tex]Therefore the correct answer is:
[tex](f+g)(x)=3x^2-x-6[/tex]What is an equation of the line that passes through the point (4,2)(4,2) and is perpendicular to the line 4x+3y=214x+3y=21?
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]4x+3y=21\implies 3y=-4x+21\implies y=\cfrac{-4x+21}{3} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}}x+7\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-4}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-4}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-4}\implies \cfrac{3}{4}}}[/tex]
so we're really looking for the equation of a line whose slope is 3/4 and it passes through (4 , 2)
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{3}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ \cfrac{3}{4}}(x-\stackrel{x_1}{4}) \\\\\\ y-2=\cfrac{3}{4}x-3\implies {\Large \begin{array}{llll} y=\cfrac{3}{4}x-1 \end{array}}[/tex]
12. Find the midpoint ofsegment JK shown in thegraph. What is the x-value ofthe midpoint?
SOLUTION
Given the question, the following are the solution steps to find the midpoint of the segment JK
Step 1: Write the points of the line
[tex]\begin{gathered} (x_1,y_1)=(-4,4) \\ (x_2,y_2)=(5,-5) \end{gathered}[/tex]Step 2: Write the formula for finding the midpoint of segment JK
[tex](x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1_{}+y_2}{2})[/tex]Step 3: Calculate the midpoints by substituting the values in step 1 into the formula in step 2
[tex]\begin{gathered} (x_m,y_m)=(\frac{-4+5}{2},\frac{4+(-5)}{2}) \\ (x_m,y_m)=(\frac{1}{2},-\frac{1}{2}) \end{gathered}[/tex]Hence, the x-value of the midpoint will be the x-coordinate which is 1/2
Bruce and his friends have a half-day at school, so they plan to spend the afternoon paddleboarding at Lake Evergreen. They want to spend the rest of the day on the water, but it starts to rain after paddleboarding for only
3/4
of an hour! Bruce is disappointed when he realizes the sun doesn't go down for another
3 1/2
hours.
Use an equation to find the amount of time Bruce planned to spend paddleboarding.
To write a fraction, use a slash ( / ) to separate the numerator and denominator.
hours
In linear equation, Jen planned to spent 3.75 hours paddleboarding.
What is a linear equation example?
Ax+By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x+3y=5. Finding both intercepts of an equation in this format is rather simple (x and y).She spent 3/4 of an hour paddleboarding.
The sun doesn't go down for another 4 hours.
= 3 + 3/4
= 12 + 3/4
= 15/4
= 3.75 hours
Jen planned to spent 3.75 hours paddleboarding.
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