Final answer:
To provide 275 balloons when they are sold in packs of 2, the clown will need to purchase 138 packs, which will include one extra balloon as you cannot buy half a pack.
Explanation:
The clown needs 275 balloons for a party and they come in packs of 2. To find out how many packs of balloons the clown needs to buy, one must divide the total number of balloons by the number in each pack.
The calculation is as follows:
Number of packs = Total balloons ÷ Balloons per packNumber of packs = 275 ÷ 2Number of packs = 137.5Since packs cannot be purchased in halves, the clown will need to buy 138 packs to have enough balloons, understanding that this means having one extra balloon.
The area of a parallelogram is 400m2 the base is 25m find the length of the height
create the equation of a quadratic function with a vertex of (5,6) and a y-intercept of -69
Patrick is constructing the circumscribed circle for △RST.
Which construction could be his first step?
Construct the perpendicular bisector of ST¯¯¯¯¯ .
Construct the angle bisector of ∠T .
Construct a copy of ∠S that is adjacent to ∠R .
Construct the angle bisector of ∠R .
Samantha has 3 times as many baseball cards as mark. mark has 12 baseball cards. write an equation that shows how many cards samantha has.
A building that is 115 feet tall casts a shadow that is 190 feet long. determine the angle at which the rays of the sun hit the ground to the nearest degree.
The angle at which the rays of the sun hit the ground is equivalent to {β} = 31.22°.
What is the meaning of the angle of depression?Its an angle that is formed with the horizontal line if the line of sight is downward from the horizontal line.
Given is that a building that is 115 feet tall casts a shadow that is 190 feet long
Assume that the angle of elevation or the angle at which the rays of the sun hit the ground is equivalent to {β}. Then, with respect to the question, we can write -
tan{β} = (height of building)/(length of shadow)
tan{β} = (115/190)
tan{β} = 0.606
{β} = tan⁻¹(0.606)
{β} = 31.22°
Therefore, the angle at which the rays of the sun hit the ground is equivalent to {β} = 31.22°.
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3, 12, 48, 192, 768, . . .
This sequence has a
A.] common difference of 4
B.] common ratio of 4
C.] common difference of [tex] \frac{1}{4}[/tex]
D.] common ratio of [tex] \frac{1}{4}[/tex]
I WILL GIVE 40 POINTS FOR EACH QUESTION REALLY NEED HELP THERE ANOTHER POST FOR THE OTHER QUESTION IT WILL BE ANOTHER 40 AS WELL AND MARKED AS BRAIN~LEST AND STAR RATEING
Answer:The first page is S^2
The fourth page is The last option
The fifth page maybe the last one
Step-by-step explanation:
What is the slope of a line perpendicular to the line y=3/4x+1
what is the volume of a spear with the radius of 6in.
A cylinder shaped drum is used to store used motor oil. The drum has a height of 3 ft and a radius of 1.5 ft. How many cubic feet of oil does the drum hold? Use 3.14 to approximate pi. Enter your answer as a decimal rounded to the nearest hundredth in the box.
How do you represent 4/7 + 3/14 on a number line?
Please Help Asap!!
Josie had a choice of 3 breads, 4 choices of meat, and 4 choices of cheeses to make a sandwich.
How many different sandwiches can she make?
24
36
48
60
Answer:
The answer is 48
Step-by-step explanation:
For every different sandwich, she needs to choose one breat, one meat and one cheese.
For each choice of bread, there are 4 choices of meat and 4 choices of cheese. Also, for each meat, there are four choices of cheese. It means that for each bread there are 4(choices of meat)*4(choices of cheeses) = 16 possible combinations.
There are also 3 choices of breads. For each bread, there are 16 possible combinations. So, in all, there are 3*16 = 48 possible combinations.
The diameter of your bicycle wheel is 25 inches. How far will you move in two turns of your wheel? Use 3.14 for π.
A) about 39 inches
B) about 78 inches
C) about 157 inches
D) about 314 inches
Answer: D) About 314 inches
Step-by-step explanation:
Since, the radius of the wheel = 25 inches
Also, the angle in one turns of the wheel [tex]= 2\pi[/tex]
⇒ The angle in 2 turn of the wheel [tex]= 4\pi[/tex]
Hence, the distance it will cover in two turns
[tex]= 4\pi\times 25[/tex] ( Arc length = central angle × radius)
[tex]= 4\times 3.14\times 25[/tex]
[tex]=314.159265\approx 314\text{ inches}[/tex]
⇒ Fourth option is correct.
The surface area of a box is 160. the length of the box is twice its width as well as 4 less than its height. how many units are in the height of the box? (the surface area of a box is the sum of the areas of all 6 of its rectangular faces.) aops
Final Answer:
The height of the box is 9 units.
Explanation:
Let's denote the width of the box as w, the length as l, and the height as h. According to the problem, we have the following relationships:
l = 2w (the length is twice the width) and
l = h - 4 (the length is also 4 less than the height).
The surface area SA of a rectangular box is calculated by the formula:
SA = 2lw + 2lh + 2wh.
Given that the surface area is 160, we set up our equation:
160 = 2lw + 2lh + 2wh.
Now let's substitute the relations l = 2w and l = h - 4 into the surface area equation:
Since l = 2w, 160 = 2(2w)w + 2(2w)h + 2wh.
Simplifying the equation, we have:
160 = 4w² + 4wh + 2wh
160 = 4w² + 6wh
Now we use the fact that l = h - 4 to substitute for h:
h = l + 4
h = 2w + 4
Now substitute h back into the surface area equation:
160 = 4w² + 6w(2w + 4) ,
Expand the terms:
160 = 4w² + 12w^2 + 24w,
Combine like terms:
160 = 16w² + 24w
Now, we must solve for w. Let's move all terms to one side to solve the quadratic equation:
16w² + 24w - 160 = 0
Divide all terms by 8 to simplify:
2w² + 3w - 20 = 0
We can now attempt to factor the quadratic equation:
(2w - 5)(w + 4) = 0
This gives us two solutions:
2w - 5 = 0 or w + 4 = 0
Solving the first equation for w:
2w = 5,[tex]\( w = \frac{5}{2} \)[/tex]
w = 5/2
We can disregard the second solution w + 4 = 0 for w, as it gives us a negative width, which isn't possible for a box.
Now that we have w, we can find h.
Using our earlier substitute for h:
h = 2w + 4 ,
[tex]h = 2 \cdot \frac{5}{2} + 4[/tex] ,
h = 5 + 4 ,
h = 9 .
Thus, the height of the box is 9 units.
Heidi's hair was 2/3 of a meter long. her grandfather cut off 1/6 of a meter of her hair. how long is heidi's hair now?
Two wheels rolled simultaneously. The radius of the smaller wheel is r feet and the radius of the larger wheel is 2r feet If both wheels did a total of 4 rotations, how much farther did the larger wheel travel?
The next term of the arithmetic sequence 39,60,81,102,123.....is
The windows of a downtown office building are arranged so that each floor has six fewer windows than the floor below it. If the ground floor has 52 windows, how many total windows are on the first eight floors?
Answer:
There are 248 windows on the first eight floors.
Step-by-step explanation:
As given:
The ground floor has 52 windows.
This question is based on arithmetic sequence:
a1 = 52
d = - 6 (each floor has six fewer windows than the floor below it)
[tex]a_n=a1+(n-1)d[/tex]
[tex]a_8 =a1+7d[/tex]
=> [tex]52+[7 \times (-6)][/tex]
=> [tex]52-42 =10[/tex]
We know:
[tex]S_n= n/2 \times (a1 +a _n)[/tex]
[tex]S_8 =8/2 \times(52+10)[/tex]
= 248
Therefore, there are 248 windows on the first eight floors.
Use the quadratic function to predict f(x) if x equals 2. f(x) = −3x2 + 180x − 285
A basketball player scored 2222 times during one game. hehe scored a total of 3030 points, two for each two-point shot and one for each free throw. how many two-point shots did hehe make
gina is traveling to the beach 20 miles away from her house.On Ginas map her house and the beach are 4 inches apart what is the scale used for Ginas map
Gina is travelling to the beach 20 miles away from her house.
On Ginas map her house and the beach are 4 inches apart
That is a distance of 20 miles is represented by the Ginas map in 4 inches
Therefore, on Ginas map one inch will be = 20/4 miles = 5 miles
So, the scale used for Gina's map is 1 inch = 5 miles
Hope this helps..!!
Thank you :)
the gray is a sidewalk and the turquoise is grass. Both are squares. What is the area of the sidewalk?
A) 4 ft2
B) 36 ft2
C) 44 ft2
D) 48 ft2
Answer:
C 44 ft2 i just took the test .
Step-by-step explanation:
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PLEASE HELP!!!!!!
A reflecting telescope is purchased by a library for a new astronomy program. The telescope has a horizontal parabolic frame and contains two mirrors, 3 inches apart from each other- the first in the base and the second at the focal point. The astronomy teacher would like to attach a digital monitoring system on the edge of the telescope, creating a straight line distance above the focal point. Assuming that the telescope is placed on the edge of the roof in such a way that it is parallel to the ground, the position of the monitoring system, in relationship to the distance between the base and the focal point is modeled by the equation, x =[tex] \frac{1}{12} [/tex] y2 (x = the distance between the base and the focal point; y= the height of the monitoring system).
Rewrite the model so that the height of the digital monitoring system is a function of the distance between the base and the focal point of the telescope. How high above the focal point is the digital monitoring system attached to the telescope? Include your function and the height, rounded to the nearest tenth of an inch, in your final answer.
Final answer:
To find the height of the digital monitoring system, we rearrange the given parabolic equation to solve for y, substitute the known distance of 3 inches, and determine that the monitoring system is attached 6 inches above the focal point.
Explanation:
The equation given for the reflecting telescope by the library for their astronomy program is x = \frac{1}{12} y^2. To solve for the height of the digital monitoring system as a function of the distance x, we need to rewrite the equation in terms of y. First, we multiply both sides by 12 to get 12x = y^2. Then, take the square root of both sides to solve for y, which gives us y = \sqrt{12x}. Given that the distance between the base and the focal point is 3 inches, we substitute x with 3 to find the height of the monitoring system. Thus, we have y = \sqrt{12 \cdot 3} which simplifies to y = \sqrt{36} or y = 6 inches. This means the digital monitoring system is attached 6 inches above the focal point of the telescope.
Which of the following is not a method used to prove triangles congruent?
A) AAS Theorem
B) SSA Postulate
C) SAS Postulate
D) ASA Postulate
Answer:
B) SSA Postulate
Step-by-step explanation:
Two triangles are congruent if they are of the same shape and size.
Two triangles can be proved congruent by AAS ,SAS ,ASA ,SSS ,HL postulates.
Two triangles are congruent if two angles and one side of both the triangles are congruent that is AAS and ASA postulates.(option A and D)
The triangles can be congruent by SAS that is if two sides and included angle of two triangles are congruent then the triangles are congruent .(Optionc)
Option B that is SSA is not a congruence postulate.
The radius of a circle is 10 feet. What is the angle measure of an arc 4 feet long?
which method is most efficient in solving a system of linear equations when the two equation have x-values with opposite coefficient values
A. GUESS AND CHECK
B. GRAPHING
C. SUBSTITUTION
D. ELIMINATION
In a "torture test" a light switch is turned on and off until it fails. if the probability that the switch will fail any time it is turned on or off is 0.001, what is the probability that the switch will fail after it has been turned on or off 1,200 times?
Final answer:
The probability of a light switch failing after 1,200 operations can be calculated by first finding the likelihood of it not failing across those operations with the formula [tex]0.999^{1200}[/tex], and then subtracting that result from 1.
Explanation:
The question asks about the probability that a light switch will fail after being turned on or off 1,200 times, given that the probability it will fail on any given operation is 0.001. This can be approached by calculating the probability that the switch does not fail in all 1,200 operations and then subtracting that probability from 1.
To calculate the probability of the switch not failing in a single operation, we subtract the failure probability from 1: 1 - 0.001 = 0.999. The probability of the switch not failing in all 1,200 operations is [tex]0.999^{1200}[/tex].
Finally, the probability of the switch failing at least once in 1,200 operations is [tex]1 - 0.999^{1200}[/tex]. When you calculate this, it gives the probability of failure after 1,200 operations.
Each summer Primo Pizza and Pizza Supreme compete to see who has the larger summer profit. Let f ( x ) f(x) represent Primo Pizza's profit x x days after June 1. Let g ( x ) g(x) represent Pizza Supreme's profit x x days after June 1. Suppose Primo Pizza's profit each day is two times as large as the profit of Pizza Supreme. Express the function f f in terms of the function g
g.
The profit of Primo Pizza is twice the profit of Pizza Supreme each day. Therefore, if g(x) represents the profit of Pizza Supreme x days after June 1, then f(x), representing Primo Pizza's profit, is given by f(x) = 2g(x). This means if Pizza Supreme's profit on a particular day is $500, Primo Pizza's profit on the same day is $1000.
Explanation:In this problem, we are given that the profit of Primo Pizza (represented by the function f(x)) is two times larger than the profit of Pizza Supreme (represented by the function g(x)). This relationship between the two profits can be expressed as f(x) = 2 * g(x). So, if you know the profit of Pizza Supreme on a particular day (g(x)), you can determine the profit of Primo Pizza on that day by doubling the profit of Pizza Supreme.
For instance, if Pizza Supreme's profit 10 days after June 1st is $500 (so, g(10) = $500), then Primo Pizza's profit on the same day would be f(10) = 2 * g(10) = 2 * $500 = $1000. Thus, Primo Pizza is making twice the profit of Pizza Supreme each day.
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*URGENT ALGEBRA 2* Anyone know these answers? Choices provided. Will award brainliest.