Answer:
Width = 139.445 ft and Length = 1721.11 ft or
Width = 860.555 ft and Length = 278.89 ft
Step-by-step explanation:
If the school has a rectangular shape, we have that its perimeter and area are:
Perimeter = 2*Length + 2*Width
Area = Length * Width
If we just want to cover 3 sides of the school, we can affirm that:
2000 = Length + 2*Width (eq1)
And the area is 240,000 ft2, so:
240000 = Length * Width (eq2)
From (eq1), we have that:
Length = 2000 - 2*Width
Using this value in (eq2), we have:
240000 = (2000 - 2*Width) * Width
240000 = 2000*Width - 2*Width^2
Width^2 - 1000*Width + 120000 = 0
Using Bhaskara's formula, we have:
Delta = 1000^2 - 120000*4 = 520000
sqrt(Delta) = 721.11
Width1 = (1000 + 721.11)/2 = 860.555 ft
Width2 = (1000 - 721.11)/2 = 139.445 ft
If we use Width = 139.445 ft, we will find Length = 1721.11 ft
If we use Width = 860.555 ft, we will find Length = 278.89 ft
Both pairs of dimensions are valid answers, as they would use 2000 feet of gate and the area of the school would be 240,000 ft2
Find the value of c (x-2) is a factor of the polynomial p(x). P(x)=x^3-4x^2+3x+c
Answer:
c = 2
Step-by-step explanation:
P(x)=x^3-4x^2+3x+c
The polynomial has x - 2 as a factor
Rewriting the polynomial as:
x^3-4x^2+3x+c = x^3 - 2x^2 - 2x^2 + 4x - x + c =x^2(x - 2) - 2x(x - 2) - (x - c)As we see the first 2 terms have (x -2) as a factor, so the third term:
(x - c) = (x - 2) c=2Answer is c= 2
For what value of x do the expressions 2/3 x+2 and 4/3 x-6 have the same value? *
Answer: 42
Step-by-step explanation:
Answer:
x = 12
Step-by-step explanation:
Hi, to answer this we have to equal both equations given and solve for x.
2/3x+2 = 4/3x-6
Solving for x:
2/3x-4/3x= -6-2
-2/3x = -8
x = -8/ (-2/3)
In conclusion, when the value of x is equal to 12, both expressions will have the same value.
Hi :) I need help with the question in the screenshot if anybody knows it can you plz help I will giver brainliest, thanks and points!!!!
Drag each equation to the correct location on the table.
Classify the quadratic equations based on how many solutions they have.
Answer:
See below
Step-by-step explanation:
Quadratic equations with one solution are:
[tex] (x+2)^2 = 0, \:\: (2x-8)^2 = 0[/tex]
Quadratic equations with two solutions are:
[tex] (2x-11)^2 = 1 [/tex]
Quadratic equations with no solution are:
[tex] (x+2)^2 = - 4, \:\: x^2 + 6 = - 3[/tex]
Answer: EDMENTUM + PLATO
Step-by-step explanation:
Mark can make 42 birthday cakes in 7 days.
How many birthday cakes can Mark make in 5 days?
Answer:
30
Step-by-step explanation:
42 cakes = 7 days
? cakes = 1 day
= 6 cakes in one day
then just multiply by 5 days
answer: 30 cakes
Answer:
30
Step-by-step explanation:
-5(x+2)=-20
Help me find X
Answer:
x=2 :D
Step-by-step explanation:
first divide by -5 on both sides to get x+2=4 then subtract 2, and get x=2
Answer:
I'm pretty sure its 2
Step-by-step explanation:
I did the math
How much wood does it take to make a storage box that is
4 feet square on the bottom and 3 feet high, with a lid? Do
not count overlap.
A.80 ft
B.80 ft2
C.48 ft3
D.48 ft2
Find the volume of a pyramid with a square base, where the area of the base is 11.9\text{ in}^211.9 in 2 and the height of the pyramid is 13.9\text{ in}13.9 in. round your answer to the nearest tenth of a cubic inch.
Answer:
The volume of the pyramid is 165.4 inches^3
Step-by-step explanation:
In this question, we are asked to calculate the volume of the pyramid with a square base and also with the given height.
To find the area of this pyramid, what we need to do is to multiply the area of the base by the height of the pyramid
From the question, the area of the square base is 11.9 in^2 while the height of the pyramid is 13.9 in
Thus the volume here is simply 11.9 * 13.9 = 165.41 which to the nearest tenth of cubic inch is 165.4 inch^3
A number is chosen at random from 1 to 50. Find the probability of selecting multiples of 12.
Answer:
P(multiples of 12)=1/25
Step-by-step explanation:
Multiples of 12: 12, 24, 36, 48
That is 4/50=1/25
the cost of fun for kids magazine for x number of months is shown below
If the cost (C) of another magazine, Family Fun, for x number of months is
given by C=1.99x, which magazine costs more?
Answer:
5 is the answer mate
Step-by-step explanation:
Find the area of each parallelogram.
Answer:
30 and 21
Step-by-step explanation:
Which relationships could have a negative correlation? Select three options. number of hours on video games and test scores speed of a car and minimum stopping distance average running speed and total race time adult’s head circumference and age outside temperature and amount of a heating bill
Answer:
- number of hours on video games and test scores
- average running speed and total race time
- outside temperature and amount of a heating bill
Step-by-step explanation:
1. number of hours on video games and test scores (negative correlation - as you spend more hours on video games, test scores might decrease)
2. speed of a car and minimum stopping distance (positive correlation - as the distance to the next stop increases, the speed of the car should increase)
3. average running speed and total race time (negative correlation - as you run for longer, your speed should decrease)
4. adult’s head circumference and age (positive correlation - as your age increases, your head size increases, too)
5. outside temperature and amount of a heating bill (negative correlation - as temperature increases, the heating bill decreases)
The two options with negative correlations are:
"Number of hours on video games and test scores" and "Outside temperature and amount of a heating bill"
Which relationship could have a negative correlation?A relation between two variables, x and y, has a negative correlation when if one variable increases, the other decreases.
From the options, the ones that can have a negative correlation are:
Number of hours on video games and test scores: Here as the number of hours that you play video games increases, it is possible that your test scores decrease, so we have a negative correlation.
Outside temperature and amount of a heating bill: As the outside temperature decreases, the amount that you pay in heating increases, so again, we have a negative correlation.
If you want to learn more about correlations:
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Will Mark Brainliest.
Answer: The correct answer is B]
Mark me as a brainliest.
Step-by-step explanation:
Choose all the numbers that are common multiples of 4 and 5.
25
40
50
60
75
80
Answer:
40
Step-by-step explanation:
it would be 20 too but there is no opition for this i hope i helped
WILL MARK BRAINLIEST.
Answer:
option d
Step-by-step explanation:
The cross section of the rectangular prism is parallel to the base.
So, the length and width is congruent to the base. So, same length and width
I need some help with these
A fruit merchant earns a profit of Rs.10 per bag of oranges and a loss of Rs.5 per bag of grapes sold. If he sells 200 bags of oranges and 350 bags of grapes, find the total profit/loss.
In a test (+5) marks are given for every correct answer and (-3) marks are given for every incorrect answer and 0 for answer not attempted. Neha gets 4 correct and 3 incorrect out of 7 questions she attempted. What is her score?
The weight of an object on Moon is 1/6 its weight on Earth. Find the weight of the object on Moon which weighs 28/5 Kg on Earth.
Find 3/4 of 5/7
It'd really help me out if anyone answers this!!
Answer:
1) A profit of Rs 250 is made.
3) 11 marks
3) 14/15 kg
4) 15/28
Step-by-step explanation:
1) A profit of Rs.10 per bag of oranges and a loss of Rs.5 per bag of grapes sold. The total profit/loss from selling 200 bags of oranges and 350 bags of grapes is:
total profit/loss = 200 (10) - 5(350) = 2000 - 1750 = Rs 250
A profit of Rs 250 is made.
2) (+5) marks are given for every correct answer and (-3) marks are given for every incorrect answer and 0 for answer not attempted. If he answer 4 correct and 3 incorrect out of 7 questions. His score is:
Score = 5(4) - 3(3) = 20 - 9 = 11 marks
His score is 11 marks
3) An object weighs 28/5 kg on earth. Since its weight on moon is 1/6 its weight on Earth.
The weight on moon = 1/6 × 28/5 = 14/15 kg
4) 3/4 of 5/7 = 15/28
Describe a circular cross-section of a sphere that does not pass through the center.
Select All that apply
The radius will be equal to the radius of the sphere
The radius will be larger than the radius of the sphere
The radius will be smaller than the radius of the sphere
The area of the circular cross-section will be 2piR squared
The sphere will be divided into 2 equal sections
The volume of the 2pieces of the sphere will not be the same
Answer:
The radius will be smaller than the radius of the sphere
The volume of the 2 pieces of the sphere will not be the same
Step-by-step explanation:
A sphere is a three-dimensional geometrical figure. It is a set of all points equidistant from a fixed point in space.
A circle is a two-dimensional figure. It is the locus of all points equidistant from a central point.
For a circular cross-section of a sphere that does not pass through the center,
the radius will be smaller than the radius of the sphere, the volume of the 2 pieces of the sphere will not be the same
Answer:
The radius will be smaller than the radius of the sphere
The volume of the 2 pieces of the sphere will not be the same
Step-by-step explanation:
The base 10 log table shows that the value of log10^50 is about 1.69897. explain or show why it makes sence that the value is between 1 and 2
Answer:
Step-by-step explanation:
Given
[tex]\log _{10}\ 50=1.69897[/tex]
and we know that
[tex]\log _a\ a=1[/tex]
therefore
[tex]\Rightarrow \log _{10}\ 10=1[/tex]
and [tex]\Rightarrow \log _{10}\ 100=\log _{10}\ 10^2=2[/tex]
and [tex]50[/tex] lies between [tex]10[/tex] and [tex]100[/tex] . So, its value must lie between [tex]1[/tex] and [tex]2[/tex]
the sum of four consecutive integers is 34. find the least of the numbers
Answer:
7
Step-by-step
n=smallest integer; n+1=second integer; n+2=third integer; n+3=fourth integer
n+(n+1)+(n+2)+(n+3)=34
4n+6=34
4n=28
n=7 ANSWER: The smallest integer is 7
CHECK:
7+8+9+10=34
34=34
the least of the four consecutive integers is 7.
Let's denote the four consecutive integers as x, x + 1, x + 2, and x + 3.
According to the given information, the sum of these four consecutive integers is 34:
x + ( x + 1 ) + ( x + 2 ) + ( x + 3 ) = 34
Simplifying the equation:
4 x + 6 = 34
Subtracting 6 from both sides:
4 x = 28
Dividing both sides by 4:
x = 7
The four numbers are 7, 8, 9, 10
Therefore, the least of the four consecutive integers is 7.
Learn more about consecutive integers here
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What is the equation of the line that is parallel to the given line and passes through the point (−4,−6 )?
Answer:
Step-by-step explanation:
if m is the slope of given line.
Then eq. of parallel line through (-4,-6) is
y+6=m(x+4)
Answer:
y=-6
Step-by-step explanation:
The line shown is a horizontal line through the y-axis and has the equation y=4. A parallel line to it is a line that does not cross it. It will also have the form y=a where a is the y-coordinate of its points. The point (-4,-6) is on the line so y=-6 is the line.
I need help with this. It says to find the measure
Answer:
260 IS RIGHT
Step-by-step explanation:
Pleaseeeeeeeeeee helppppppp i will mark brainlest
Answer:
b) 40
Step-by-step explanation:
By angle sum property of a triangle:
[tex] x°+20°+120°=180°\\
x°+140°=180°\\
x°=180°-140°\\
x° = 40°\\
\huge \red {\boxed {\therefore x = 40}} [/tex]
Answer:
B)40°
Step-by-step explanation:
Sum of angles in a triangle =180°
120°+20°+x°=180°
140°+×°=180
Collect like terms
x°=180°-140°
x°=40°
A group of 6 students was asked, "How many hours did you watch television last week?" Here are their responses: 10, 5, 18, 9, 17, 12 Find the median and mean number of hours for these students. If necessary, round your answers to the nearest tenth.
Answer:
Mean = 11.8
Median = 11
Step-by-step explanation:
Here we are asked to calculate the median and the mean for these set of numbers
Let’s start with the mean
The mean refers to the average, we simply add all the numbers together and divide by their count.
That would be;
Arithmetic mean = (10+ 5 + 18 + 9 + 17 + 12)/6 = 71/6 = 11.833 which is 11.8 to the nearest tenth
To get the median, what we do is to first rearrange the values we have from the lower to the highest.
That would be;
5,9,10,12,,17,18
Looking at the numbers after rearranging, the two middle numbers we have are 10 and 12.
So we add these together divide by 2.
That would be (10+12)/2 = 22/2 = 11
Please help!
You spin the spinner twice.
What is the probability of landing on a 4 and then landing on a 4?
Simplify your answer and write it as a fraction or whole number.
Answer:
The probability of first landing on a 4: P = 1/4
The probability of second landing on a 4: P = 1/4
Applying the multiplication rule:
=> The probability of landing on a 4 and then landing on a 4:
P = (1/4) x (1/4) = 1/16
Hope this helps!
:)
jogging burns 375 calories in 45 minutes. determine how many calories are burned per hour
Answer:
500 calories are burned per hour
Step-by-step explanation:
First Step:
Find out how many calories they burn per minute
375/45 which equals 8.333
8.333 calories are burned per minute
Second Step:
Multiply 8.333 by 60 (representing an hour) to get your calories burnt per hour
Final Answer: 500 calories are burnt per minute
Either you don't live in the U.S., or you should be sleeping
Answer:
so whats your question?
Step-by-step explanation:
1WHATS
2YOUR
3QUESTION
4?????
which of the following changes represents a percent decrease?
a) 10 gallons to 24 gallons
b) 24 songs to 78 songs
c) 72 paper clips to 63 paper clips
d) 12 inches to 36 inches
Answer:
C
Step-by-step explanation:
Considering that C is the only decrease it would leave me to believe it is the correct answer.
How does subtracting the same amount from each value in a data set affect the mean,median,mode, and range? Explain.
Answer:
The mean, the median, the mode and the upper and lower limits of
the range would each be reduced by the amount subtracted.
Step-by-step explanation:
By selling a book for $16.50, a bookseller loses 12%. What is the cost price of the book?
Answer: 18. 75
Step-by-step explanation:
plz follow my table format here i will be delighted to share
cp percent fraction sp
-12 88/100 16. 50
100*16.50 /88= 18.75
Suppose a medium pizza at Vincent's costs $6.75 plus $0.75 for each topping, and the cost of a medium pizza at Original Italian Pizza is $6.15 plus $0.80 per topping. How many toppings would you have to include on your pizza for the price to be the same at both places?
Answer:
12 toppings
Step-by-step explanation:
To do this, we need to write an equation for each place, and then, equal both equations to solve for this.
Let's call "y" the price of the pizza, and "x" the number of toppings.
At Vincents, pizza costs 6.75 + 0.75 for each topping, so the equation here would be:
y = 6.75 + 0.75x (1)
Now, at italian pizza, a pizza costs 6.15 + 0.80 per topping, so the equation:
y = 6.15 + 0.80x (2)
Now, we don't need to know the actual price of the pizza, we only want to know how many toppings we need to add on both places, so the pizza has the same price. We have both equations, it's time to equal both of them:
Equalling (1) and (2) we have:
6.75 + 0.75x = 6.15 + 0.80x
Now, let's solve for x:
6.75 - 6.15 = 0.80x - 0.75x
0.6 = 0.05x
x = 0.6 / 0.05
x = 12
So the number of toppings to include in the pizza so the price is the same for both places, will have to be 12 toppings.
Answer:
12 toppings and the prize will be the same.
Step-by-step explanation:
Let
number of toppings = a
Medium pizza at Vincent's
cost = 6.75 + 0.75a
Medium pizza at Original Italian Pizza
cost = 6.15 + 0.80a
For the cost to be the same
6.75 + 0.75a = 6.15 + 0.80a
collect like terms
6.75 - 6.15 = 0.80a - 0.75a
0.6 = 0.05a
divide both sides by 0.05
a = 0.6/0.05
a = 12
12 toppings and the prize will be the same.
If 30% of the students taking a module failed the practical test. The class has 130 students. How many students passed the test?
Answer:
91 students passed the test.
Step-by-step explanation:
130 / 10 = 13
13 x 3 = 39
130 - 39 = 91
Answer:
91 students passed the test.
Step-by-step explanation:
We need to find 10% of 130.
130÷10=13
Then we need to make it 30% in order to see the amount of students that failed the test.
13×3=39
Then we need to do 130 - 39 (The whole class- 30%)
130-39=91