The percent of the decrease in the average class size will be 40.
What is the percentage?
The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.
Given data;
The average class size a decade ago,(initial value,u = 20 students
The average class size at present,(final value),v= 12 student
Percentage decrement = ( initial value-Final value )/final value
%=[(u-v)/v]×100
% =[(12-40)/40]×100
% = 40
Hence, the percent of the decrease in the average class size will be 40.
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2. Penny is 1/16 inch thick and there are now 500,000,000,000 pennies. How many miles high would the stack be? *Use the converter after you get your answer in inches. Show work:
Answer:
447451 miles
Step-by-step explanation:
a mile is 5820 feet or 69840 inches. 500,000,000,000/16 and then divide that by 5820
HELP ME PLEASE!!!!!!!!!!!!
Answer:
Question 6: C or 1/3
3 toppings times 2 flavors=6 types in all
you can get chocolate or vanilla yogurt with sprinkles. This gives u 2/6 or 1/3
Question 11: 2/9 + x = 1
x= 7/9
Step-by-step explanation:
Question 11: 2/9 + x = 1
x= 7/9
Question 6: 3 toppings times 2 flavors=6 types in all
you can get chocolate or vanilla yogurt with sprinkles. This gives u 2/6 or 1/3
Find the value of x in the following parallelogram
Answer:
x = 2
Step-by-step explanation:
5x - 6 = 3x - 2 (the two diagonals bisect each other)
2x = 4
x = 2
Topic: Polygons
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
There are 15 flowers to fill 3 vases. How many flowers can be placed in each vase?
Answer:
5
Step-by-step explanation:
5 in each vase!
The sum of two integers with different signs is 16. What two integers fit this description?
-2 and 18
-18 and -18
-14 and -2
-14 and 2
State the domain of the following relation.
Answer:
the answer is
b. {-5,0,4,12}
Step-by-step explanation:
domain is x
range is y
hope this helps
Select the correct answer. What can we determine about the SmartPhone Inc. stock when we see its returns (dashed line) compared with the NASDAQ Composite Index of growth companies (solid line). A. The SmartPhone Inc. stock performed better than the NASDAQ Composite during 2015. B. The SmartPhone Inc. stock performed worse than the NASDAQ Composite in 2015 and 2016. C. In 2018, the SmartPhone Inc. stock started to perform better than the NASDAQ Composite Index. D. The SmartPhone Inc. stock price steadily decreased between 2015 and 2017. E. The SmartPhone Inc. stock performed better than the NASDAQ Composite Index between 2015 and 2017.
Answer:
C
Step-by-step explanation:
Plato(:
What we determine about the SmartPhone Inc. stock when we see its returns compared with the NASDAQ Composite Index of growth companies is In 2018, the SmartPhone Inc. stock started to perform better than the NASDAQ Composite Index. This is further explained below.
What is stock?Generally, stock is simply defined as the money raised by a firm via the issuing and subscribing of shares.
In conclusion, When compared to the NASDAQ Composite Index of growing firms, the SmartPhone Inc. stock is In 2018, SmartPhone Inc. shares began to outperform the NASDAQ Composite Index.
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7.) x-3>4 please help
Answer:
x>7
Step-by-step explanation:
x-3>4
Add 3 to both sides
x>7
Hope it helped!
Answer:
x>7
Step-by-step explanation:
To solve the inequality you need to isolate the variable. To do so add 3 to both sides of the equation, x-3+3>4+3, which simplifies to x>7. This means any number greater than but not equivalent to 7 is a solution. So 8 or 100 would work but 7, 2, or -2 would not.
Please answer this question
B=3V/h
Solve for V
Answer:
V = [tex]\frac{Bh}{3}[/tex]
Step-by-step explanation:
Given
B = [tex]\frac{3V}{h}[/tex] ( multiply both sides by h )
Bh = 3V ( isolate V by dividing both sides by 3 )
[tex]\frac{Bh}{3}[/tex] = V
what is 175% of 300
Answer:
525
Step-by-step explanation:
Mark and some of his friends had eaten pizzas. What is this written as a decimal?
Answer:
We don't really have the whole question, but to convert to a decimal, you should divide the numerator by the denominator.
Example:
Convert 5/8 to a decimal.
5 divided by 8 = 0.625
what propery is 5(x + 3) = 35, then x + 3 = 7
Answer:
Property Used is Division Property of Equality
Step-by-step explanation:
We need to define the property used in solving 5(x + 3) = 35, then x + 3 = 7
The Division Property of Equality states that when we divide both sides of an equation by same non-zero number the two sides remain equal
So, in given question:
5(x+3)=35
Dividing both sides by 5 (Division Property of Equality)
5(x+3)/5=35/5
x+3=7
So, Property Used is Division Property of Equality
add me as a friend lol
Answer:
ok
Step-by-step explanation:
ok
Answer:
helloooooooooooooooooo
PLEASE HELP ME!!!!!!!!!!!!!
ANSWER CORRECTLY AND YOU WILL GET BRAINLIEST
Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%.
Answer:
20
Step-by-step explanation:
20 points = 40
50 points 100
One morning, Filip walks 6 km.
In the afternoon, he walks another 3,800 m.
How far does Filip walk altogether?
Answer:
9.8 km or 9800
Step-by-step explanation:
Convert km to m
The table below shows the average annual salary of the workers at the Pearson
Corporation over the course of time since 1980. Let x represent the number of years
since 1980 with x = 0
representing the year 1980. Let y represent the average annual
salary of the workers. Complete the slope-intercept form of the equation for the line of
best fit below with the appropriate value for the slope.
Answer:
[tex]y = 1164x + 14242[/tex]
Step-by-step explanation:
From the question, we understand that
x = 0, when year = 1980
First, we need to determine the slope of the table.
Pick any two corresponding values of year and average salary
year = 1982, average salary = 16570
year = 2002, average salary = 39850
Convert years to x values
year = 1982 implies that x = 2 i.e. 1982 - 1980
year = 2002 implies that x = 22 i.e. 2002 - 198-
So, we have:
[tex](x_1,y_1) = (2,16570)[/tex]
[tex](x_2,y_2) = (22,39850)[/tex]
Determine the slope.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{39850 -16570}{22 - 2}[/tex]
[tex]m = \frac{23280}{20}[/tex]
[tex]m = 1164[/tex]
The equation is calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = 1164[/tex]
[tex](x_1,y_1) = (2,16570)[/tex]
So,
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 16570 = 1164(x - 2)[/tex]
[tex]y - 16570 = 1164x - 1164*2[/tex]
[tex]y - 16570 = 1164x - 2328[/tex]
Add 16570 to both sides
[tex]y - 16570 + 16570 = 1164x - 2328 + 16570[/tex]
[tex]y = 1164x - 2328 + 16570[/tex]
[tex]y = 1164x + 14242[/tex]
Answer:
y = 1164x + 14,242
Step-by-step explanation:
I really need help with a lot of questions
Answer:16
Step-by-step explanation:
Pleaseee ANWSER ASAP!!!!
whats the answer for this?
Answer:
Step-by-step explanation:
plz help me
Jackson mowed 5 yards and made $40.00. How much did he make for mowing 8 yards?
Answer:
$64
Step-by-step explanation:
$40/5yards=$8
Thus, each yard must earn Jackson $8.
$8*5y=$40
8 yards would give him $64.
$8*8y=$64
14.75x - 2.3 = 5.25x + 45.2
y=5/3x-1
What is the slope of the graph of this equation
Identify the slope and y-intercept of the following line: 3x + y = -1
Answer:
Slope: -3
Y intercept: (0,-1)
Step-by-step explanation:
Answer: Slope -3
Y intercept -1
Step-by-step explanation:
Please help me with this problem, 35 points!
The four small circles are identical. The total area of the small circles is 16 pi square inches. What is area of the larger circle? Write your answer in terms of pi .
Answer:
64[tex]\pi[/tex] in²
Step-by-step explanation:
I did not ever do a problem like this, however this is the beauty of math, you can easily reverse engineer it.
Remember,
A = [tex]\pi r^2[/tex]
And if we have 4 circles that means the area of one circle is 1/4th the total
So,
[tex]A = \frac{\pi r^2}{4}[/tex]
Assuming that 16 is the radius squared times 4 lets ignore that squared for now because when going backwards we would get rid of the squared last as that was the first step.
[tex]A = \frac{16\pi}{4} = \frac{4\pi}{1}= 4\pi[/tex]
Now lets get it back to [tex]r^2[/tex] by square rooting the 4
[tex]A = \sqrt{4}\pi = 2\pi[/tex]
The radius of one small circle is 2. Therefore; the diameter would be 4 for each. This in mind we know that two small circles diameters make up the radius of the larger circle we will multiply it by two again.
This gives us a final radius of the bigger circle of 8
Therefore, the area of the bigger circle is 8²[tex]\pi[/tex] which simplifies to 64[tex]\pi[/tex]
And a final answer of
64[tex]\pi[/tex] in²
Hope this helps :)
The area of the larger circle is 64π in²
What is a circle?A circle is simply a round shape that has no corners or line segments. It is a closed curve shape in geometry. The points of circle are at a fixed distance from the center.
Given that, there are 4 identical circles inside a big circle, the total area of the small circles is 16π in²
We know that,
Area = π × radius²
16π = 4π × radius²
Therefore, the radius of each circle = 2 in
Now, according to the arrangement we can say that the adding the diameter of two small circles will give the radius of the big circle,
Therefore, the radius of the big circle = 4 + 4 = 8 in
Therefore, the area of the big circle = π × 8² = 64π
Hence, the area of the larger circle is 64π in²
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I really need help so please help me out
Answer:
The answer is option 2.
Step-by-step explanation:
Given that the TU and UF added up together to form a length of 32. In order to find TU, you have to subtract length of UF from 32 :
TU + UF = 32
TU + 20 = 32
TU = 32 - 20
TU = 12
2+2+5*18/2+745-345/53
Answer:
Step-by-step explanation:
787.490566
Answer:
2 + 2 + 5 × 18 ÷ 2 + 745 - 345 ÷ 53 = 787.490566038
hope this helps
Are 3/5 and 18/32 equivalent ratios? Explain how you know (be specific). If you just say yes or no you will not get full credit. *
Answer:
No they are not equivalent,
Step-by-step explanation:
3 x 6 is 18 and 5 x 6 is 30, not 32 so it is non-equivalent
To join a Yoga club there is a $100 annual fee and a $5 fee for each class you attend.
Use the above information to answer the question below.
If you attend 12 classes, how much would you pay?
Total Cost = $
Answer:
210
Step-by-step explanation: so 5 times 12 120 plus 100 is 210
1. Suppose Leif can rake his entire yard in 2.5 hours, while his younger sister, Autumn, can do it in 4 hours by herself. How many minutes will it take the two of the to rake the entire yard if they are working together, to the nearest whole number? Please answer in a number of minutes.
2. Once Leif and Autumn have all of the leaves in their yard in a huge pile, they decide to do a little math with their pile of leaves. They notice that all of the leaves are yellow and/or red. So, they decide that Leif will count the leaves with any red (5550 leaves) and Autumn will count the leaves with any yellow (6820 leaves). Then, they get their other little brother, Oakie, to come out and count the leaves that have both yellow and red on them (4370 leaves). Using their reported numbers, how many leaves are in the pile? Please just provide the number of leaves.
3. Leif bets Autumn that she can't reach into the middle of the pile and pull out three leaves with yellow on them in her first three picks, without replacement. Assuming the different kinds of leaves were all mixed up together again and randomly distributed throughout the pile, what is the probability that she will be successful? Express your answer as a decimal to the nearest hundredth.
Answer:
1. 93 min2. 123703. 0.17Step-by-step explanation:
1. ...................................
Speed of Leif:
1/2.5 = 2/5 of the job in an hourSpeed of Autumn:
1/4 of the job in an hourTogether their speed is:
2/5 + 1/4 = 8/20 + 5/20 = 13/20They spend total time for full job:
20/13 hour = 1 7/13 hour = 60 + 7/13*60 min ≈ 93 min2. ...................................
Leaves with red = 5550Leaves with yellow = 6820Leaves with both yellow and red = 4370Total number
5550 + 6820 = 123703. ...................................
Total number = 12370Yellow = 6820Probability of 3 consecutive yellow leaves:
6820/12370*6819/12369*6818/12368 = 0.17 rounded to the nearest hundredths