Answer:
the maximum height of the ball= 256 feet
7 seconds
Step-by-step explanation:
The quadratic function h ( t ) = − 16t^2 + 96t + 112 models the ball's height about the ground, h ( t ) , in feet, t seconds after it was thrown.
a= -16 , b= 96 and c= 112
To find maximum height , we find vertex
[tex]x= \frac{-b}{2a}=\frac{-96}{2(-16)}= 3[/tex]
Now plug in 3 for 't' in h(t)
[tex]h(t) = -16t^2 + 96t + 112[/tex]
[tex]h(t) = -16(3)^2 + 96(3)+ 112=256[/tex]
Hence vertex is (3, 256)
the maximum height of the ball= 256 feet
(b) when the ball hits the ground then height becomes 0
so we plug in 0 for h(t) and solve for t
[tex]0 = -16t^2 + 96t + 112[/tex]
Apply quadratic formula
[tex]t=\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]
Plug in all the values a= -16 , b= 96 and c= 112
[tex]t=\frac{-96+-\sqrt{96^2-4(-16)(112)}}{2(-16)}[/tex]
t= -1 and t= 7
time cannot be negative. So it will take 7 second to hit the ground.
The maximum height of the ball is 160 feet and it takes 4 seconds for the ball to hit the ground.
Explanation:The quadratic function h(t) = -16t^2 + 96t + 112 represents the height of the ball above the ground (h(t)) in feet after t seconds since it was thrown. To find the maximum height of the ball, we need to determine the vertex of the quadratic function. The vertex of a quadratic function in the form f(x) = ax^2 + bx + c is given by the formula x = -b/2a, where x represents the time and a and b are coefficients in the quadratic equation.
In this case, the coefficient a = -16 and b = 96. Plugging these values into the formula, we get t = -96/(2 * -16) = 3 seconds. Substituting this value into the quadratic function, we find h(t) = -16(3^2) + 96(3) + 112 = 160 feet. Therefore, the maximum height of the ball is 160 feet.
To determine how many seconds it takes until the ball hits the ground, we need to find the time when h(t) = 0. Setting the quadratic equation equal to zero and solving for t, we get -16t^2 + 96t + 112 = 0. This equation can be solved using factoring, completing the square, or the quadratic formula. Let's use the quadratic formula.
Applying the quadratic formula, we have t = (-b ± √(b^2 - 4ac)) / 2a. Plugging in the values of a = -16, b = 96, and c = 112, we get t = (-96 ± √(96^2 - 4(-16)(112))) / (2 * -16). Evaluating this expression, we get two solutions: t = 4 and t = 7. Therefore, the ball takes 4 seconds to reach the ground after being thrown.
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Brainliest promised!
What is the name of an interior angle of a triangle that is not adjacent to a given exterior angle of the triangle?
A) exterior angle
B) adjacent interior angle
C) remote interior angle
D) alternate interior angle
Answer:
The answer is C) Remote Interior Angle
Step-by-step explanation:
The name of an interior angle of a triangle that is not adjacent to a given exterior angle of the triangle is the remote interior angle. Getting the values of each sides help you come up with the remote interior and exterior angles.
Alicia was rock climbing. She climbed to a height of 30 ft. Next , she climbed down 18 ft. Finally she climbed up another 55 ft. Write an addition expression to describe this situation then find the sum of your addition expression to determine Alicia's elevation.
Answer:
Step-by-step explanation:
Alicia was rock climbing. She climbed to a height of 30 ft. Next , she climbed down 18 ft. Finally she climbed up another 55 ft. Write an addition expression to describe this situation then find the sum of your addition expression to determine Alicia's elevation.
Can someone please help me with this question? Thank you!
Answer: A
Step-by-step explanation:
[tex]\stackrel\frown{XY}[/tex] ≅ [tex]\stackrel\frown{YZ}[/tex]
⇒ ∠XOY ≅ ∠ZOY
[tex]\overline{XO}[/tex] ≅ [tex]\overline{ZO}[/tex] since they are both a radius
[tex]\overline{OY}[/tex] ≅ [tex]\overline{OY}[/tex] based on reflexive property
∴ ΔXOY ≅ ΔZOY by SAS
So, [tex]\overline{XY}[/tex] ≅ [tex]\overline{ZY}[/tex] by CPCTC
ZY = 10.2 is given
so, XY = 10.2 by substitution property
A line crosses the y-axis at (0,4) and has a slope of -2. Find an equation for this line. A) y = 2x + 4 Eliminate B) y = -2x + 4 C) y = -2x - 4 D) y = -4x + 2
Answer:
We have the equation y - 4 = (-2)( x - 0 );
Then, y - 4 = -2x;
Finally, y = -2x + 4;
The correct answer is B) y = -2x + 4;
Step-by-step explanation:
The equation for the line with a slope of -2 and crossing the y-axis at (0,4) is y = -2x + 4.
To find an equation for a line that crosses the y-axis at (0,4) with a slope of -2, we can use the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept. Since we are given that the slope (m) is -2 and the y-intercept (b) is 4, the equation of the line is y = -2x + 4.
If the domain of f (x ) = 4 +x2 is {-1, 0, 1, 2}, what is the range?
Answer: y = {5, 4, 8}
Step-by-step explanation:
f(x) = 4 + x²
f(-1) = 4 + (-1)²
= 4 + 1
= 5
f(0) = 4 + (0)²
= 4 + 0
= 4
f(1) = 4 + (1)²
= 4 + 1
= 5
f(2) = 4 + (2)²
= 4 + 4
= 8
Put the values from domain to the equation of the function.
f(x) = 4 + x²
f(-1) = 4 + (-1)² = 4 + 1 = 5
f(0) = 4 + 0² = 4 + 0 = 4
f(1) = 4 + 1² = 4 + 1 = 5
f(2) = 4 + 2² = 4 + 4 = 8
Answer: The range = {4, 5, 8}Given: ∆AKL, AK = 9 m∠K = 90° m∠A = 60° Find: P∆AKL The area of ∆AKL
The perimeter (P∆AKL) of triangle AKL is 21.294 m, and the area is 20.25 m². Triangle AKL is a 30-60-90 triangle, with sides in the ratio 1:√3:2, allowing for straightforward calculations of the perimeter and area using the given side lengths and right triangle properties.
Explanation:To find the perimeter (P∆AKL) and the area of triangle AKL (∆AKL), we can use the properties of a right triangle. Since we have one angle of 60°, and the right angle 90°, the remaining angle must be 30°. With this information, we recognize that triangle AKL is a 30-60-90 special right triangle.
For a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2. Knowing one side, AK (the side opposite the 60° angle), is 9 m, we determine the side opposite the 30° angle (AL) is half that length, so AL = 9m / 2 = 4.5 m. The side opposite the 90° angle (KL) is √3 times the side opposite the 30° angle, so KL = 4.5m * √3 = 7.794 m.
Now we can find the perimeter (P) by adding all the sides:
AK + AL + KL = 9m + 4.5m + 7.794m = 21.294 mThe area (A) of a right triangle is (½)*base*height.
A = (½) * AK * AL = (½) * 9m * 4.5m = 20.25 m²The width of Florida is 4/5 of its length if the length of Florida is about 450 miles what is the approximate width
Answer:
4/5 of 450 is 360
Step-by-step explanation:
Write an explicit formula for the sequence... then find a17
Answer:
The correct answer option is: [tex]a_n=\frac{5}{2} n-\frac{11}{2}, 37[/tex].
Step-by-step explanation:
We are given the following arithmetic sequence and we are to write an explicit formula for it and the find the 17th term of the sequence:
{[tex]a_n[/tex]}={[tex]-3, -\frac{1}{2} ,2,\frac{9}{2} ,7[/tex]}
From the given options, we can put in the values of n and check if it proves to be true.
For [tex]a_n=\frac{5}{2} n-\frac{11}{2}[/tex], put values of [tex]n[/tex] from 1 to 5 which the number of the term.
[tex]a_1=\frac{5}{2} (1)-\frac{11}{2}\\\\a_1=-3[/tex]
[tex]a_2=\frac{5}{2} (2)-\frac{11}{2}\\\\a_2=-\frac{1}{2}[/tex]
[tex]a_3=\frac{5}{2} (3)-\frac{11}{2}\\\\a_3=2[/tex]
[tex]a_4=\frac{5}{2} (4)-\frac{11}{2}\\\\a_4=\frac{9}{2}[/tex]
[tex]a_5=\frac{5}{2} (5)-\frac{11}{2}\\\\a_5=7[/tex]
Therefore, the formula for the given sequence is [tex]a_n=\frac{5}{2} n-\frac{11}{2}[/tex].
Also, [tex]a_{17}=\frac{5}{2} (17)-\frac{11}{2}=37[/tex]
Answer: The correct one is an=5/2n-11/2,37 so A :)
Thirty-six of the students in the school choir like to sing solos. These 36 students make up 24% of the choir. How many students are in the choir?
Answer:
150
Step-by-step explanation:
We can write a proportion to find the total amount in the choir using the information given. A proportion is two equivalent ratios set equal to each other.
[tex]\frac{24}{100}=\frac{36}{y}[/tex]
We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.
24y=100(36)
24y=3600
y=150.
There are 150 students in the choir.
PLEASE HELP FOR BRAINLIEST!!
Write a function rule for the data in the table. Determine if it's a direct variation, inverse variation or neither. Last, determine the value of x if y=10.
Answer: [tex]\bold{y=\dfrac{24}{x}}[/tex] ; indirect variation ; x = 2.4
Step-by-step explanation:
direct variation is when: [tex]\dfrac{y}{x}=k[/tex] ; where k is the constant rate
indirect variation is when: xy = k ; where k is the constant rate
In the table provide: x * y = 24 for each coordinate provided, so this is indirect variation, with equation: [tex]y = \dfrac{24}{x}[/tex]
since k = 24, then input y = 10 and k = 24 into the equation above:
[tex]10 = \dfrac{24}{x}[/tex]
[tex]10x = 24[/tex]
[tex]x = \dfrac{24}{10}[/tex]
x = 2.4
Plz Help!
What is the effect on the graph of the function f(x) = x when f(x) is replaced with −1/2f(x)?
A) vertical reflection over x-axis and vertical stretch
B) vertical reflection over x-axis and vertical compression
C) horizontal reflection over y-axis and horizontal stretch
D) horizontal reflection over y-axis and horizontal compression
When the function f(x) is replaced with -1/2f(x), it results in vertical reflection over x-axis and vertical compression of the graph.
Explanation:When the function f(x) is replaced with -1/2f(x), it means that the values of the original function are multiplied by -1/2. This has two effects on the graph of the function:
Vertical reflection over the x-axis: The positive values of f(x) become negative and vice versa. This flips the graph of the function vertically.Vertical stretch: The values of f(x) are multiplied by -1/2, which compresses the graph vertically. The new graph will be half as tall as the original graph.Therefore, the correct answer is B) vertical reflection over x-axis and vertical compression.
The amount of time t (in hours) it takes to complete a certain job varies inversely with the number of workers, w. The constant of variation is 28. Find the time it takes to complete the job when the number of workers is 16.
Answer:
1.75 h
Step-by-step explanation:
t = k/w
k = 28
t = 28/w
If w = 16,
t = 28/16
t = 1.75 h
It will take 16 workers 1.75 h to complete the job.
Tricia made a 56% on her science test. If she got 14 problems correct, how many questions were on the test?
Answer:
25
Step-by-step explanation:
let x questions on the text, so we get:
56/100=14/x, 4/100=1/x,
x=25
On a game show, Elena is given the choice of three doors: Behind one door is the Grand Prize; behind the others, consolation prizes. She picks Door A, and the host, who knows what is behind each door, opens Door B, revealing a consolation prize. The host then offers Elena the opportunity to change her selection to Door C. What should she do?
A)She should not accept because the probability of Door A being the Grand Prize increased.
B)She should accept because the probability of Door C being the Grand Prize increased.
C)She could either accept or not accept because now the probabilities of both doors are equal.
D)She could either accept or not accept because the probabilities of the three doors were equal from the beginning.
(I've already tried the last answer (D), It wasn't correct :< )
Answer:
B)She should accept because the probability of Door C being the Grand Prize increased.
Hope you do well on the rest of the test!
Please help! Urgent!
A blue circular target is tacked onto a square corkboard. The area of the target is 75 square units. What is the area of the corkboard that is not covered by the target?
A) 25 square units
B) 65 square units
C) 75 square units
D) 100 square units
Answer:
The Correct Answer Is A.) 25 Square Units
Step-by-step explanation:
The area of the corkboard that is not covered by the target is 25 sq. units.
(Option A).
What is the area of the corkboard that is not covered by the target?The area of the corkboard that is not covered by the target is calculated from the difference between the area of the square and area of the target.
Area of the square is calculated as;
A = L²
A = ( 5 + 5)²
A = 100 sq units
The area of the target is 75 sq. units, so we wil use this value
The area of the corkboard that is not covered by the target is calculated as;
A = 100 - 75
A = 25 sq. units.
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EARN 50 POINTS, WILL MARK BRAINLIEST , PLEASE HELP
Name the property that justifies each statement.
if UV = KL and KL = 6 Then UV = 6
If measure angle 1 + measure angle 2 = measure angle 4 + measure angle 2 then measure angle 1 = measure angle 4
angle ABC is congruent to ABC
If 1/2 measure angle D = 45, then measure angle D = 90
If angle DEF is congruent to angle HJK, then angle HJK is congruent to angle DEF
Answer:
Use desmos it is really helpful
[tex]The\:Answers\:Are:[/tex]
[tex]A.\:If\:\:UV=KL \:\:And\:\:KL=6,\:Then\:\:UV = 6,\:True[/tex]
[tex]C.\:Angle\:ABC\:Is\:Congruent\:To\:ABC,\:True[/tex]
[tex]\mathrm{E.\:If\:Angle\:DE F\:Is\:Congruent\:To\:Angle\:HJK,\:Then\:Angle\:HJK\:Is\:Congruent\:To\:Angle\:DE F},\:True[/tex]
[tex]The\:Questions\:B\:And\:C\:Are\:False[/tex]
[tex]\mathrm{Hope\:This\:Helps!!!}[/tex]
[tex]\mathrm{Please\:Mark\:Brainliest!!!}[/tex]
[tex]\mathrm{-Austint1414}[/tex]
Please answer thank you
Answer:
45°Step-by-step explanation:
they are opposite angles, same value of 45°
Find the zeros of the function f(x) = x2 + 5x + 6. A) y = 6 because the graph crosses the y-axis at 6. B) y = -0.25 because that is the minimum value of the graph. C) x = 2 and x= 3 because the graph crosses the x-axis at 2 and 3. D) x = -3 and x = -2 because the graph crosses the x-axis at -3 and -2.
Answer:
D.)
Step-by-step explanation:
The zero's are referencing when y=0, note that when y=0 they are talking about the x-intercepts. You can graph the function and see when the graph crosses the x-axis or solve for the x-values. I will solve it via factoring and so:
[tex]f(x)=x^2+5x+6[/tex]
Multiply the outer coefficients, in this case 1 and 6, and 1×6=6. Now let's think about all the factors of 6 we have: 6×1 and 2×3. Now is there a way that if we use any of these factors and add/subtract them they will return the middle term 5? Actually we can say 6-1=5 and 2+3=5. Let's try both.
First let's use 6 and -1 and so:
[tex]x^2+5x+6\\\\x^2+6x-x+6\\\\x(x+6)-1(x-6)[/tex]
Notice how we have (x+6) and (x-6), these factors do not match so this is incorrect.
Now let's try 2 and 3 and so:
[tex]x^2+5x+6\\\\x^2+3x+2x+6\\\\x(x+3)+2(x+3)\\\\(x+2)(x+3)[/tex]
Notice how the factors (x+3) matched up so this is a factor and so is (x+2), now to solve for the zero's let's make f(x)=0 and solve each factor separately:
Case 1:
[tex]f(x)=x+2\\\\0=x+2\\\\x=-2[/tex]
Case 2:
[tex]f(x)=x+3\\\\0=x+3\\\\x=-3[/tex]
So your zero's are when x=-2 and x=-3.
D.) x=-3 and x=-2 because the graph crosses the x-axis at -3 and -2.
~~~Brainliest Appreciated~~~
the sum of 2x+7 and −x+12 is equal to 14 what is x?
Answer:-5
Step-by-step explanation:
2x+7-x+12=14
x+19=14
x=-5
Answer:
x=-5
Step-by-step explanation:
Ok so, (2x+7)+(-x+12)=14
solve the equation, by opening the parantheses.
2x+7+-x+12=14
x= -5
Identify the domain of the graphed function.
Answer:
(-4,-2) U (-2,4]
Step-by-step explanation:
Domain is the set of x values for which the function is defined.
We look at the x values on the graph
the graph starts at -4 and we have a hole at x=-4
For a hole we use parenthesis
Graph starts at -4 and ends at -2. Both -4 and -2 have hole, so we use parenthesis.
So interval is (-4,-2)
From -2 to 4 , there is no hole or break in between. the graph is continuous from -2 to 4
so interval is (-2, 4]
combine both intervals
(-4,-2) U (-2,4]
Answer:
B. (-4,-2) (-2,4)
Banu is 20 years older than binu. In 5 years, Banu will be twice as old as binu. Find their present age.
Answer:
i think Banu is 40 and Binu is 20
Step-by-step explanation:
if Banu was 35 and Binu was 15, 5 years go by Banu is 40 so still 20 years older and Binu is 20, Binu is half the age of Banu.
A traveling circus brings along everything it needs for its shows in big trucks.
a. the circus audience sits in rows around the performing ring. there are 9 seats in each row. how many rows will need to be set up if 513 people are expected to attend the show? can the rows be divided into a number of equal sections? explain how you find your answer.
b. circus horses eat about 250 pounds of horse food per week. about how many pounds of food does a circus horse eat each day? explain. (hint: 1 week = 7 days)
Answer :
(a) The number of rows need will be, 57 rows.
(b) The amount in pounds of food a circus horse eat each day is, 35.71 pounds.
Step-by-step explanation :
Part A:
As we are given that the there are 9 seats in each row that means 9 people can sit in each row.
Now we have to determine the number of rows will need to be set up if 513 people are expected to attend the show.
As, 9 people can sit in 1 row
So, 513 people can sit in [tex]\frac{513}{9}=57[/tex] row
Thus, the number of rows need will be, 57 rows.
Yes, the rows be divided into a number of equal sections as, 3 rows would be 19 sections or, 19 rows would be 3 sections.
Part B:
As we are given that circus horses eat about 250 pounds of horse food per week. Now we have to determine the amount in pounds of food does a circus horse eat each day.
Given : 1 week = 7 days
As, in 1 week the circus horses eat about 250 pounds of horse food
or, in 7 days the circus horses eat about 250 pounds of horse food
So, in 1 day the circus horses eat about [tex]\frac{1day}{7day}{\times 250=35.71[/tex] pounds of horse food
Thus, the amount in pounds of food a circus horse eat each day is, 35.71 pounds.
the power in an electrical circuit is given by the equation p= /2 r, where / is the current flowing through the circuit. what is the current in a circuit that has resistance of 100 ohms and a power of 15 watts?
A. 0.15 amps
B. 0.39 amps
C. 6.7 amps
D.2.6 amps
Answer:
Actually, the equation is
power (in Watts) = I² * r
I - current in amps and r - resistance in watts
Solving this for the current (I)
I = square root (power / resistance)
I = square root (15 / 100)
I = square root (.15)
I = 0.3872983346 amps
answer is B
Step-by-step explanation:
The current in the circuit is approximately 0.39 amperes, which is option B.
The power in an electrical circuit can be calculated using the formula:
P = I^2 * R
Where:
P = Power (in watts)
I = Current (in amperes)
R = Resistance (in ohms)
In your case, you have:
P = 15 watts
R = 100 ohms
You want to find the current (I), so rearrange the formula to solve for I:
I = sqrt(P / R)
I = sqrt(15 watts / 100 ohms)
I = sqrt(0.15 A^2)
I = 0.39 A (approximately)
So, the current in the circuit is approximately 0.39 amperes, which is option B.
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A tiger can eat food that weighs up to 15% of its body weight if a tiger can I eat 75 lb of food how much does a Tiger Way
A total of 56 students signed up to play in a flag football league. If each team has 10 students, how many more students will need to sign up so all of the students can be on a team?
Final answer:
A total of 4 more students need to sign up for all 56 students to be placed on teams of 10 in the flag football league.
Explanation:
The question is asking how many additional students will need to sign up to ensure that all students can participate in a flag football league, with the stipulation that each team is made up of 10 students. With 56 students currently signed up, we can divide this number by the team size to see how many complete teams can be formed:
56 students ÷ 10 students per team = 5 teams with 6 students left over.
To have a complete additional team, 10 students are needed. Since there are already 6 students without a team, the number of additional students required is:
10 students needed for a complete team - 6 students already signed up but not placed on a team = 4 additional students needed.
Find the tan(Θ) of an angle in standard position if the terminal side passes through the point (4, -8).
See the attached explanation and diagram.
TO MAKE CHEESECAKE, U NEED ABOUT TWO AND A HALF POUNDS OF CREAM CHEESE . HOW many pounds of cream cheese do u need to make 2 chesseckes
A kite is 37 feet in the air and string forms an angle of 62 degrees with the ground how long is the string
Answer:
The length of the string is 32.56 feet (Approx) .
Step-by-step explanation:
As given
A kite is 37 feet in the air and string forms an angle of 62 degrees .
Now by using the trignometric identity.
[tex]sin\theta = \frac{Perpendicular}{Hypotenuse}[/tex]
As shown in the figure given below.
[tex]\theta = 62^{\circ}[/tex]
Perpendicular = AB
Hypotenuse = AC = 37 feet
Put in the identity .
[tex]sin\ 62^{\circ} = \frac{AB}{AC}[/tex]
[tex]sin\ 62^{\circ} = \frac{AB}{37}[/tex]
[tex]sin\ 62^{\circ} = 0.88\ (Approx)[/tex]
Put in the identity
[tex]0.88 = \frac{AB}{37}[/tex]
AB = 0.88 × 37
AB = 32.56 feet (Approx)
Therefore the length of the string is 32.56 feet (Approx) .
The slope of the line below is-1/7Write a point-slope equation of the line using the coordinates of the labeled point.
The point slope formula is
y-y1=m(x-x1)
M represents slope and (y1, x1) are the coordinates to your point.
From this question we know the slope is -1/7 so you plug that in to the formula which will give you
Y-y1=-1/7(x-x1)
There isn’t a point attached to this question so let’s make up a point and say it’s (1,7). You plug this into the equation to get
Y-7=-1/7(x-1)
This is your equation.
Can someone please take some time to help me? I would really appreciate it. Thank you very much.
Adia plans to wallpaper her bedroom. The measurements are 10’ by 12’ with 8’ ceilings.
Part 2: If each single roll of wallpaper covers 72 square feet, how many single rolls of wallpaper will Adia need for her project?
Answer: _ single rolls (type the number only)
-------------------------------------------------------------------------------------
Adia plans to wallpaper her bedroom. The measurements are 10’ by 12’ with 8’ ceilings.
Part 3: If each single roll of wallpaper covers 72 square feet, how many double rolls of wallpaper will Adia need for her project?
Answer: _ double rolls (type the number only)
Answer:
5 single rolls or 3 double rolls.
Step-by-step explanation:
Ignoring doors and windows, we need to find the lateral surface ares. We are not papering the ceiling or floor.
The lateral surface areas = P*h
= 2(l+w) * h
= 2(10+12) * 8
= 2(22)*8
=352 ft^2
A single roll covers 72 ft^2 so we divide the number of ft^2 that we need (352^2) by the amount of a single roll
352/72 =4.88888(repeating)
Rounding up since we need to buy in full rolls.
We will need 5 rolls
Assuming a double roll will cover twice that of a single roll
2*72 = 144 ft^2
Take 572/144 =2.4444444
Rounding up since we need to buy in full rolls.
We will need to buy 3 double rolls
Adia will need 5 single rolls or 3 double rolls of wallpaper to cover her 10' by 12' bedroom with 8' ceilings.
Adia needs to calculate the amount of wallpaper needed to cover the walls of her bedroom. To find the total wall area, we calculate the perimeter of the room and multiply it by the ceiling height. The perimeter is two times the length (12 feet) plus two times the width (10 feet), giving us 44 feet. Multiplying the perimeter by the ceiling height (8 feet) gives us the total wall area: 44 feet × 8 feet = 352 square feet.
Since each single roll covers 72 square feet, dividing the total wall area by the coverage of one roll gives us the number of rolls needed: 352 square feet / 72 square feet/roll = 4.89, which means Adia will need 5 single rolls of wallpaper.
For double rolls, we need to consider that each double roll is equivalent to two single rolls.
Therefore, we divide the number of single rolls needed by 2 to get the number of double rolls: 5 single rolls / 2 = 2.5, which means Adia will need 3 double rolls (since she can't purchase half a roll, she'll have to round up).