Answer:
[tex]x=\frac{n}{p}m[/tex]
Step-by-step explanation:
Since we have two variables on the left side (x and p), and they are being divided, we need to do the opposite in order to get it to the other side. Therefore, we multiply both sides of the equation by m.
Doing that, we get
[tex]\frac{x}{m} m=\frac{n}{p}m\\\\\\So,x= \frac{n}{p}m\\[/tex]
a school has 400 feet of fencing to build a set of 3 athletic fields as shown below. What dimensions should they use to build the largest possible athletic complex. Include appropriate units with your answer.
The area of a shape is the amount of space it occupies.
The dimensions to build the largest possible athletic complex is 100 by 50 feet
Assume the length of the fence is y.
So, we have:
[tex]\mathbf{Area = xy}[/tex]
[tex]\mathbf{Perimeter = 2y + 4x}[/tex]
Substitute 400 for perimeter
[tex]\mathbf{2y + 4x = 400}[/tex]
Divide through by 2
[tex]\mathbf{y + 2x = 200}[/tex]
Make y the subject
[tex]\mathbf{y = 200 -2x}[/tex]
Substitute [tex]\mathbf{y = 200 -2x}[/tex] in [tex]\mathbf{Area = xy}[/tex]
[tex]\mathbf{Area =x(200 - 2x)}[/tex]
[tex]\mathbf{Area =200x - 2x^2}[/tex]
Differentiate
[tex]\mathbf{A' =200 - 4x}[/tex]
Set to 0
[tex]\mathbf{200 - 4x = 0}[/tex]
Collect like terms
[tex]\mathbf{4x = 200}[/tex]
Divide both sides by 4
[tex]\mathbf{x = 50}[/tex]
Recall that: [tex]\mathbf{y = 200 -2x}[/tex]
So, we have:
[tex]\mathbf{y = 200 - 2 \times 50}[/tex]
[tex]\mathbf{y = 200 - 100}[/tex]
[tex]\mathbf{y = 100}[/tex]
Hence, the dimensions to build the largest possible athletic complex is 100 by 50 feet
Read more about areas and perimeters at:
https://brainly.com/question/11957651
Find the geometric mean between each pair of numbers
Show your work please
Thank you❤️❤️❤️
Answer:
1.26
Step-by-step explanation:
geometric mean =sqrt((4/5)*2)=sqrt(1.6)=1.26
The perimeter of a rectangle is equal to 54 units. The length of the rectangle is 2k units, and the width of the rectangle is k units
Which expression represents the perimeter, and what is the width of the rectangle?
The expression to represents the perimeter is,
54 = 2 (2k + k)
And, The width of the rectangle is, 9 units.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The perimeter of a rectangle is equal to 54 units.
And, The length of the rectangle is 2k units, and the width of the rectangle is k units.
Now, We know that;
Perimeter of rectangle = 2 (Length + Width)
Substitute the given values, we get;
Perimeter of rectangle = 2 (Length + Width)
54 = 2 (2k + k)
54 = 2 × 3k
54 = 6k
54/6 = k
k = 9
Hence, The width of the rectangle is, 9 units.
Learn more about the rectangle visit:
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1. How much of a difference is there, in interest, between an investment of $899 with simple interest of 5% and an investment of $499 with a simple interest of 9%, both for a six year term?
2. What balance will you have in your account, in 8 years, if you invest $4000 at 3.5% compounded quarterly?
3. Gina deposited $1500 in an account that pays 11% interest compounded monthly. What will the balance be in 5 years?
4. You invested $4,400 for 2 years at 7.3% compounded semianually. What is your total balance after 12 years?
5. You want to buy a new motorcycle so you borrow $14,200 for 5 years at an interest rate of 13% and it’s compounded daily. How much interest will you have paid after the 5 year term has ended?
ar can drive 90 miles on 3 gallons of gas. How
many miles can be driven with 11 gallons of gas?
Please help me on this thank you I’ll give brainliest
Answer:
Eh, you're not getting any help since you lied about "giving brainliest".
Step-by-step explanation:
How much has James earned since the beginning of the year in 2014? (use pay stub) *
1 point
$1,451.28
$3548.72
$5,000
class 6 MATHS! is this correct???
Answer:
yes Bro it is correct ar u writing an exam
Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany . Find their ages.
Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany. Find their ages.
Solution:Let the age of Tiffany be x years.Then, the age of Emily = 4x years.After 10 years, the age of Tiffany will be (x+10) years.After 10 years, the age of Emily will be (4x+10) years.Therefore, by the problem
[tex]4x + 10 = 2(x + 10) \\ = 4x + 10 = 2x + 20 \\ = > 4x - 2x = 20 - 10 \\ = > 2x = 10 \\ = > x = \frac{10}{2} \\ = > x = 5[/tex]
So, Tiffany's present age = 5 years.Emily's present age = (4×5) years = 20 years.Answer:Emily's age is 20 years and Tiffany's age is 5 years.
Hope it helps!
QUICK!!
fill in the blanks below in order to justify whether or not the mapping shown represents a function.
Step-by-step explanation:
I don't know what the specific options are to be selected, but I can tell you what the situation is, and you can then pick the fitting options on your screen :
it is not a function, because 5 in set A (the domain) leads to 2 associated (functional result) values in B (the range).
but in order to be a function, every input value must have exactly one resulting output value. which is violated here.
Calculator
What are the coordinates of the midpoint of CD where C(2,
6) and D(4, 10)?
O (3, 2)
0 (2, 3)
0 (3, – 8)
0 (-1, 2)
1
2
OCT
20
tv
Answer:
O (3, 2)
Step-by-step explanation:
use the vectors method
(2+4)/2. (-6+10)/2
(3, 2)
what does N equal because i dont know
Answer:
N = Natural numbers
1.35 - 0.829 SHOW YOUR WORK
Answer:
0.521
Step-by-step explanation:
It's just like subtracting
Convert the units of measure
Answer:
22.5Step-by-step explanation:
24 hr in a day
so
540 : 24 = 22.5 or 22 1/2
30 points please answer (Must show work) Screenshot attached!!!
Answer:
1 thats it
Step-by-step explanation:
Answer:
the second, fourth
Step-by-step explanation:
Since they all have the same fraction, but different positive and negatives in each equation we can find out which ones are equal to the original equation by how many negatives each equation has.
The original equation has 2
first option only has 1, so we can eliminate that one
the second option has two, and they are the same equation as the original, only in reverse, so this one will be one of the answers.
the third only has one so we can get rid of that one.
the fourth has 2, even though it has a + it still makes 2/5 negative, so it is one of the answers as well.
and the fifth one is positive, and there are no negatives, so we can get rid of that one.
so the answers would be the second and fourth ones.
I NEED ANSWERS TO THESE QUESTIONS
1.How are the areas of a circle and a parallelogram related?
2. Find the area of a circle with a radius of 6.9 m to the nearest tenth. Leave your answer in terms of π.
3. The average crop circle is between 100 and 300 ft in diameter. Find the area of a crop circle that is 300 ft in diameter. Use 3.14 for π.
4. A baker makes a giant cookie for special occasions that is 16 in. in diameter. How many 4-in. diameter cookies would it take to equal the area of one giant cookie?
5. Compare and Contrast What is the difference between the circumference and area of a circle
6. Reasoning A round pizza has an area of 254.34 in.2. Explain how to estimate the length and width of the square box needed to package the pizza
I only have the answer for 1, but !
1. The area of a parallelogram is base times height. Since the area of that rectangle is twice the area of the circle, then the area of the circle is half the base times the height. It will be half of 2πr· r. The area of the circle will be πr2
HELP ME SOLVEEEE !!!!!
Answer:
y=2
Step-by-step explanation:
y+7=9(y-1)
y+7=9y-9
y-9y=-9-7
-8y=-16
y=2
_________
[tex] \: [/tex]
[tex] \frac{1}{3} (y + 7) = 3(y - 1)[/tex]
[tex] \frac{y + 7}3 = 3(y - 1) [/tex]
[tex]y + 7 = 9(y - 1)[/tex]
[tex]y + 7 = 9y - 9[/tex]
[tex]y - 9y = - 9 - 7[/tex]
[tex] - 8y = - 16[/tex]
y = 2✔
help please! if correct i will give brainley
Answer:
The scale factor is 1.5! I hope this helps!
Answer: 1.5
Each measurement:
12/8 = 1.5
9/6 = 1.5
15/10 = 1.5
PLEAS HELP!
The diagram shows a convex
polygon.
What is the value of a?
Answer:
40°
Step-by-step explanation:
56+84=140
180-140=40°
At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are the cost, y, in dollars and the amount of yogurt, x, proportional? Explain. Write an equation to represent this relationship. how do you fill it out.
Answer:
Step-by-step explanation:
Which is the smallest integer that makes the inequality 2x + 3 > 5 true?
0 is the correct answer;
2*0=0, and 0+3=3.
However if we plug in 1 it does not work you see; 2+1=2, and 2+3 = 5.
It has to be > not =
2
Step-by-step explanation:
because if you subtitute 2 for x you would get
2(2) +3>5
4+3=7
7>5
which makes the inequality true
how do you determine volume?
Answer: V = πr 2 h
Step-by-step explanation:
To calculate the volume of a cylinder, you must know its height and the radius of the circular base (the distance from the center of the circle to its edge) at the top and bottom. The formula is V = πr 2 h, where V is the Volume, r is the radius of the circular base, h is the height, and π is the constant pi.
Charles has read 180 pages of a book. This is of the total number of pages in the book. If p represents the number of pages in the book, what is p?
Answer:
More than 180. It needs more info to have an actual answer.
Answer: I believe it would be 180 considering he has 180 pages in a book and you wanna know how many pages he has it would be 180 hoped this helped love ✨
Step-by-step explanation:
Use complete sentences to describe how you can algebraically determine where the solution region is for a quadratic inequality once the
points of intersection have been found.
Answer:
hwiwj8eie9eiejnebwnw
Please explain step by step how to solve. Thank you
By doing cross multiply, you'll get
6(p-1) = 8(p+10)
Expand
6p-6 = 8p+80
Arrange
-80-6 = 8p-6p
-86 = 2p
Divide by 2 to find p
-43 = p
Answer:
p =
Step-by-step explanation:
First, we can start by cross multiplying.
p−1p+10=86
(p−1)*(6)=8*(p+10)
6p−6=8p+80
After some simplification, we get:
−2p=86
Then we find out that p = -43
If we put it in, and then simplify that, we will get 8/6
If this helped you, consider marking this as brainliest :)
When converted to a household measurement, 9 kilograms is approximately equal to a
Answer:
D) 19.8 lbs
Explanation:
1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.
1kg is also equal to 2.205 lbs. 9*2.205=19.8416
9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system
a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.
This leaves us with 19.8 lbs
The average distance from Earth to the Moon is approximately 384,400,000 kilometers.
What is the average distance, in kilometers, from Earth to the Moon written in scientific notation?
A 3.844 x 10^4 kilometers
B 3.844 x 10^5 kilometers
C 3.844 x 10^7 kilometers
D 3.844 x 10^8 kilometers
9514 1404 393
Answer:
D. 3.844 × 10^8 kilometers
Step-by-step explanation:
To write the number in scientific notation, put a decimal point after the most significant digits and write the rest of the significant digits after that. Multiply the number by the power of 10 that tells how many digits are between the most significant digit and the decimal point.
Here, the number has 8 digits between the most-significant digit (3) and the decimal point. Any trailing zeros are assumed to be not significant when the number is written without a decimal point. So, the number is written ...
3.844 × 10^8 km
ILL give u 35 points if u answer this. i need help
Simplify 10/16 to the lowest terms and find an equivalent fraction that has a denominator of 32.
Answer:
5/8, 20/32
Step-by-step explanation:
Divide 10/16 by 2 as that is the GCF (greatest common factor) = 5/8
To find an equivalent fraction with a denominator of 32 multiply 10/16 by 2 = 20/32
Answer:
5/8; 20/32
Step-by-step explanation:
10/16 = (5 · 2)/(8 · 2) = 5/8 lowest term
equivalent fraction 5/8 = ?/32 means 32÷ 8 = 4 × 5 =20
5/8 = 20/32
If using 10/16 = ?/32 means 32 ÷ 16 = 2 × 10 = 20
Again 10/16 = 20/32
help me i nedd help...........
Answer:
The answer is 10 12/85 Hope you pass!