The percentage of the increase will be 25% when the number of students in the marching band increased from 100 to 125.
What is the percentage?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
It is given in the question that the number of students in the marching band increased from 100 to 125 so we need to find the percentage increase of the students.
The percentage increase of the students will be calculated as:-
% increase=[(125-100)÷(100)]x100
% increase=[(25)÷(100)]x100
% increase= [0.25x100]
% increase= 25%
Hence the percentage of the increase will be 25% when the number of students in the marching band increased from 100 to 125.
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Which of the following conditions produces a unique triangle?
Answer: I would say A because it makes the most sense
Step-by-step explanation:
A composite figure is shown, what is the volume of the composite figure?
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Answer:
607.75 cm3
Step-by-step explanation:
v = L*w*h
8.5 * 5.5 * 13 = 607.75
607.75 cm3
Answer:
V= 8.5(5.5)(13)
V = 607.75 cubic inches
Step-by-step explanation:
Volume of a right rectangular prism is V=lwh where l is length, w is width, and h is height.
PLEASE HELP
For each of the number lines, write an absolute value equation in the form |x - c|=d, where c and d are some numbers, to satisfy the given solution set.
Answer:
I believe it's [tex](-8)-0=-8[/tex]
Step-by-step explanation:
Just add the lines on the side and it is on the line and x and d are the same number. If it's wrong I'm so sorry!!
You have a stack of sticky notes in six different colors. There are 600 sticky notes in the stack(100 of each color). The height is 6 cm, and the width and length are both 7.62 cm. The six colors are stacked on top of each other with the height(so each colored stack is 1cm).
1. What is the volume of each section? Describe two methods to find the volume of one of the sections.
2. What is the height of one sticky note? Describe two methods to find the height of one sticky note.
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3. A stack of circular sticky notes has 400 sticky notes in total. The cylinder has a diameter of 3 in. and a height of 0.8 in. Find the surface area of one sticky note. Use 3.14 for pi. Show your steps.
Thank you so much for helping!!
Answer:
1. 58.0644
2. 0.01
3. 14.16
Step-by-step explanation:
1. V = l*w*h
v = 7.62*7.62*1
v = 58.0644
or
v = 7.62*7.62*6
v = 348.3864
v = 348.3864/6
v = 58.0644
2. 1cm/ 100 sticky notes = 0.01
6cm/ 600 sticky notes = 0.01
3. A=2πrh+2πr2
=2·π·1.5·2×0.002+2·π·1.52
=14.15602
The volume of each section will be 58.09364[tex]cm^3[/tex]. The height of one sticky note is 0.06 cm and the surface area of one sticky note is 0.02376 sq inch.
1)The volume of one sticky note can be calculated using the formula for the volume of a rectangular prism :[tex]V = l \times w \times h[/tex], where l is the length, w is the width, and h is the height.
Length (l) = 7.62 cm
Width (w) = 7.62 cm
Height (h) = 1 cm (for each colored stack)
Substituting the values into the formula:
V = [tex]7.62 cm \times 7.62 cm \times 1 cm[/tex]
V = 58.09364[tex]cm^3[/tex].
Since there are 100 sticky notes of each color, the volume of each section can be found by multiplying the volume of one sticky note by 100:
Volume of each section =[tex]58.09364 cm^3 \times 100[/tex]
Volume of each section = 5809.364 cm³
Method 2: Using the total volume of the stack and proportions
The total volume of the stack can be calculated by multiplying the area of the base (length × width) by the total height of the stack.
Given:
Length (l) = 7.62 cm
Width (w) = 7.62 cm
Height of stack = 6 cm
Volume of stack = l × w × height of stack
Volume of stack =[tex]7.62 cm \times 7.62 cm \times 6 cm[/tex]
Volume of stack = 349.52544[tex]cm^3[/tex] (rounded to five decimal places)
Since the stack contains 600 sticky notes in total and each section represents one-sixth of the stack, we can calculate the volume of each section by dividing the total volume by 6:
Volume of each section = Volume of stack divided by 6
Volume of each section =[tex]\dfrac{349.52544 }{6} cm^3[/tex]
Volume of each section = 58.25424 cm³ (rounded to five decimal places)
The height of one sticky note, we can divide the total height of the stack by the number of sticky notes of each color.
Method 1: Direct division
The height of one sticky note can be found by dividing the total height of the stack by the number of sticky notes in each colored section.
Height of stack = 6 cm
Number of sticky notes per color = 100
Height of one sticky note = [tex]\dfrac{Height of stack } {Number\ of \ sticky \ notes \ per \ color}[/tex]
Height of one sticky note =[tex]\dfrac{6}{100}cm[/tex]
Height of one sticky note = 0.06 cm
By Using proportions, method 2 can be solved
Since each colored section represents one-sixth of the stack, the height of one sticky note can be found by multiplying the height of the stack by [tex]\dfrac{1}{6}[/tex].
Height of stack = 6 cm
Height of one sticky note =[tex]Height of stack \times\dfrac{1}{6}[/tex]
Height of one sticky note =[tex]6\times \dfrac{1}{6}[/tex]
Height of one sticky note = 1 cm
To find the surface area of one sticky note in the circular stack, we need to calculate the surface area of the cylinder and then divide it by the number of sticky notes.
Total number of sticky notes = 400
Diameter of cylinder = 3 in
Height of cylinder = 0.8 in
[tex]\pi[/tex] = 3.14
Calculate the surface area of the cylinder using the formula for the lateral surface area of a cylinder:[tex]A = 2\pi rh[/tex], where r is the radius and h is the height.
Radius (r) = [tex]\dfrac{3}{2}[/tex] = 1.5 in
Lateral Surface Area (A) = [tex]2\pi rh[/tex]
A = [tex]2 \times 3.14 \times 1.5 \times 0.8[/tex] in
A = 9.504 sq inch (rounded to three decimal places)
Since there are 400 sticky notes, we can calculate the surface area of one sticky note by dividing the total surface area by 400:
Surface area of one sticky note = [tex]\dfrac{A}{Total\ number of \ sticky \ notes}[/tex]
Surface area of one sticky note = [tex]\dfrac{9.504 }{400}sq \ inch[/tex]
Surface area of one sticky note ≈ 0.02376 sq inch.
The volume of each section will be 58.09364[tex]cm^3[/tex]. The height of one sticky note is 0.06 cm and the surface area of one sticky note is 0.02376 sq inch.
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Please help I will give brainly
Find the Surface area of the pyramids
1. SA = P*L/2. As it's a square pyramid, P = 7*4 = 28 yd and SA = 28*4/2 = 28*2 = 56 sq yd.
2. SA = 2B+ph
B = area of the base (3*7 = 21), p = perimeter of the base (6+14=20), h = height (2)
==> 2B+ph = 42+22 = 64 sq. ft
3. SA = (Perimeter of the base × Length of the prism) + (2 × Base Area) = 32+10 * 16 + 2 * 80 = 32 + 160 + 160 = 320 + 32 = 352 sq. cm
4. SA = 6l^2 = 6*64 = 384 sq. in
5. Analogue to 1, SA = (7*4*5)/2 = (28*5)/2 = 14*5 = 70
49. Sketch the graph of the polar equation.
r=3 \cos \theta
Answer:
1.5
Step-by-step explanation:
r=2Rcosθ
(x-1.5）² y²=2.25
The centre of the circle is (1.5 , 0) The radius is 1.5
PLEAAAAAAAAAAAASEEEEEEEEEEEEE HELP!!!!!!!!! | In your own words, describe when you should use area, and when you should use volume in calculating the amount of space an object occupies.
Pls answer correctly! Thank you : )
PLEASE HALP IM TIMED!!! WILL GIVE 25 PTS
Vera claimed the solution set on the number line represents the inequality Negative 78.9999 greater-than-or-equal-to x.
A number line going from negative 83 to negative 77. A closed circle is at negative 79. Everything to the left of the circle is shaded.
Which error did Vera make?
Vera wrote the inequality with the variable on the left side of the relation symbol.
Vera wrote a relation symbol that does not represent the direction of the ray.
Vera selected an inequality that does not include –79 in its solution set.
Vera used the wrong number in her inequality.
So basically, we have [-83, -77] as the whole thing.
There's a circle that limits [-83, -79) as a shaded zone.
Vera claims that -78.9999 [tex]\geq[/tex] X, which is false.
Vera wrote a relation symbol that doesn't represent the ray's direction. She went the other way around.
PLS HELP!! GIVING BRAINLIEST TO FIRST CORRECT ANSWER!!+50 POINTS
Answer:
is there any question?
so I can answer
Answer:
See below
Step-by-step explanation:
7) a rectangle 12 x 8 = 96
plus semi-circle 1/2 pi r^2 = 1/2 pi 4^2 = 25.132
total = 121.132 m^2
8) Circle area = pi r^2
large circle pi * 2^2 = 4pi
MINUS the smaller one pi 1.5^2 = 2.25 pi
total = 1.75 pi = 5.498 in^2
9) Square area = 10 x 10 = 100
minus circle pi r^2 = 25pi total = 21.46 ft^2
The net of a rectangular prism and its dimensions are shown in the diagram.
What is the total surface area of the rectangular prism in square meters?
Answer:
642.96
Step-by-step explanation:
To find the surface area"
[tex]SA=2lw+2lh+2wh[/tex]
Insert measurements into the equation:
[tex]SA=2*17\frac{2}{5}*3+2*17\frac{2}{5}*13.2+2*3*13.2[/tex]
Now to go through the very tedious steps of actually solving the equation (we got this!)
[tex]2*17\frac{2}{5}*3= 104.4[/tex][tex]2*17\frac{2}{5}*13.2=459.36[/tex][tex]2*3*13.2=79.2[/tex]Next: Addition
[tex]104.4+459.36=563.76[/tex][tex]563.76+79.2=642.96[/tex]And we have our answer!
I hope this helps and please feel free to comment, give feedback, ask questions, and correct me if I am wrong!
Have a great day
:)
2. The radius of a circle is 9 yards. Find the diameter.
Answer:
18
Step-by-step explanation:
9 x 2 = 18
radius x 2 = diameter
22. Suppose five cards are drawn from a deck. Find the probability of obtaining the indicated cards.
Five face cards
Write the equation for each translation of the graph of y=| 1/2x-2|+3
One unit to the left
one unit to the right
Answer:
Answer: for One Unit to the Left: |1/2 x -3/2|+3
Step-by-step explanation: When translating to the left, you are going to end up with f(x-(-1)) meaning x+1. Even though left means subtracting, in translation it’s adding. (I hope that made sense).
that would create the equation |1/2x(x+1)-2|+3
If you solve that, it would simplify to |1/2x-3/2| which is the answer
Step-by-step explanation:
Reflecting the shape A in y = -x line
Answer: 4,-2
-2,-2
-3,-5
Step-by-step explanation:
please solve this. i need help
Answer:
23
Step-by-step explanation:
its going down lower minus by 6.
the x means the answer/number.
the answer is 23 of what i think
HELLO! please answer and EXPLAIN for BRAINLEST!
Answer:
35
Step-by-step explanation:
see image
can you please answer the question below
I really need your help
Thank you very much!!
Answer:
34.september has the most adults
35. 30 was the least number of students to visit.
36. the children showed the largest drop between months.
37. 15 more children than adults in may
Step-by-step explanation: if you look at the chart key and the numbers put on the side you will be able to see the differences in the adults and children's information
Fill in the blank and which goes where, drag and drop..
80%
95%
33 1/3%
15%
The dot plot shows the number of library books borrowed by a group of children. A dot plot whose number line is labeled Number of books borrowed. There is 1 dot above 0, 2 dots above 1, 4 dots above 2, 4 dots above 3, 6 dots above 4, 3 dots above 5, 5 dots above 6, 3 dots above 7, 1 dot above 8, and 1 dot above 9. Select from the drop-down menus to correctly complete the statement. The distribution of data is Choose... , with a mode of Choose... , and a range of
Answer:
Median cause there are no outliers
Step-by-step explanation:
its hard To explaIN but U should Ask Ur parents but basicaly what i did was find the mean and the medium and the range and i divide by 2 and see which one fitted in and it was median soo.
PLS HELP ME
What is the interquartile range of the data? With the numbers 2,3,3,4,5,7,8,8,8,10,10, and 12
Answer:
5.5
Step-by-step explanation:
2,3,3,4,5,7,8,8,8,10,10,12
The mean of this data is 7.5. So what you are trying to figure out is the mean between 2 and 7. Since that is 3 and 4 it would be 3.5. So 3.5 is the Q1. Now you have to figure out the mean between 8 and 12. That is 9. This is Q3. You have to subtract 9-3.5 and that is the interquartile range. So 5.5 is the answer. I hope that made sense.
2. The lengths of three rods are $6 cm, 10 cm, and 11 cm. How can you use these rods to measure a length of 15 cm ?
26cm 10cm 11cm
Step-by-step explanation:
i need some help on this! i need my grade to go up
One package of popcorn makes 1000 cubic inches of popcorn. The movie theatre sells the popcorn in cone shaped containers. The containers have a radius of 3 inches and a height of 8 inches. How many containers can the movie theatre fill from one package of popcorn?
Answer:
13.3, but you can't sell 0.3 so round to the nearest whole number, which is 13.
Step-by-step explanation:
Find the volume of the cone package.
[tex]V = \frac{\pi r^{2}h }{3} \\V=\frac{3.14(3^{2})(8) }{3} \\V= \frac{25.12(9)}{3} \\V = \frac{226.08}{3} \\V=75.36[/tex]
Now divide the total cubic inches, 1000, by the volume of one cone package.
1000/75.36 = 13.3
mark and sally went to the mall. Marl borrowed $2 from sally for lunch. Then, he gave sally $17 for a new t - shirt. How much dose sally have to pay in debt?
Answer:
$15
Step-by-step explanation:
Since mark borrowed $2 he know has $2 debt so he gave sally 17$ which means he already paid 15$ extra in order to cover is debt
26. A single card is drawn from a deck. Find the probability that the card is either red or a face card.
Answer:
8/13
Step-by-step explanation:
There are total 26 red cards in the deck of 52 cards.
There are also 12 face cards in the deck ( which is 6 of them are red, while 6 of them are black)
Since we only need either one of them, 26 + 6 = 32
The probability of drawn a card that either red or a face card is 32/52
The simplest form of this fraction is 8/13.
Pls answer I will mark brainliest
Answer: 41 degrees
Step-by-step explanation:
Given Values : 90 degrees & 49 degrees
Solve : 90 + 49 = 139
Since the sum of all sides of a triangle is supposed to add up to 180 degrees, subtract 180 - 139, and you will end up with 41 degrees.
the data table in the illustrate a liner function
x} 0, 2 ,4, 6
y} -5, -2, 1, 4
what is the slope of the liner function? Which graph represents the data
A). -2/3 (graph 1)
B). 3/2 (graph 2)
C). 2/3 (graph 3)
D). -3/2 (graph 4)
Answer:
Slope = 3/2
Step-by-step explanation:
To find the slope you do:
[tex]\frac{y2-y2}{x2-x1}[/tex]
Plug in any two points:
[tex]\frac{-5-(-2)}{0-2} = \frac{-3}{-2} =\frac{3}{2}[/tex]
Answer: the answer is b
Step-by-step explanation:
FIRST CORRECT ANSWER GETS BRAINLIEST
Answer:
121.2 cm^2
Step-by-step explanation:
Surface area:
6 x 5.5 x 2 = 6 x 11 = 66 cm^2
6 x 2.4 x 2 = 12 x 2.4 = 28.8 cm^2
5.5 x 2.4 x 2 = 11 x 2.4 = 26.4 cm^2
Total surface area = 66 + 28.8 + 26.4 = 94.8+ 26.4 = 121.2 cm^2
