Answer:
2
Step-by-step explanation:
if you have 80 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose
Answer:
300 ft^2
Step-by-step explanation:
Multiply 30 by 10
The largest possible area that we can enclose in a form of a rectangle with a perimeter of 80 ft is 399 sq feet.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
Given, I have 80 feet of fencing.
Assuming the length of the wall to be 'l' and the width of the wall to be 'w'.
∴ 2(l + b) = 80.
l + b = 40.
So, the sum of length and width is 40, now l + b can be 20 + 20 but that would be a square and give us maximum area but we need a rectangle.
We know the product of the sum of two numbers is maximum when the difference between them is minimum.
∴ The maximum rectangular area we can enclose is when the length is 21 and the width is 19.
Area = 21×19 sq feet.
= 399 sq feet.
learn more about rectangles here :
https://brainly.com/question/15019502
#SPJ5
y is inversely proportional to x.
When x = 2.5, y = 4.
Find the value of y when x = 8.
Answer:
y = 32/2.5
Step-by-step explanation:
formula:
y=kx
k = y/x
k= 4/2.5
so this is k
y = 4/2.5 x
y = 4 / 2.5 × 8
y = 32/2.5
answer.) y = 32/2.5
hope it was helpful
thank you
max has x dollars. Keisha has four more dollars then max
Answer:
4x
Step-by-step explanation:
Simply add 4 and x, and that is 4x.
please help!! graph y=-4/3x+8
Answer:
put a point on (0,8) and (4,3)
Thank You In Advance For Whoever Answers
Answer:
97.6 in^3
Step-by-step explanation:
find the volume of the cylinder and then find the volume of the cone. the formula for the volume of the cylinder is pi*r^2*h. the formula for the volume of the cone is 1/3*pi*r^2*h. r=d/2=4/2=2, h(cylinder)=8, h(cone)=0.7. now just plug these values into the formulas.
cylinder: pi*2^2*8=100.531
cone: 1/3*pi*2^2*0.7=2.932
cylinder-cone= 100.531-2.932=97.599. round to the nearest tenth to get 97.6
Solve the given equation
3x + 7 = 14 + 3x
Answer:
no solution.
Step-by-step explanation:
3x+7=14+3x
3x-3x=14-7
0=7
0 is not equal to 7, hence making this equation to have no solution.
Answer: no solution
Step-by-step explanation:
Complete the recursive formula of the arithmetic sequence 8, -5, -18, -31,..
d(1)=
d(n)=d(n-1)+
Answer:
d(1) = 8
d(n) = d(n-1) + (-13)
Please answer<3
-2w - 5w =
Answer:
the answer is -7w
Step-by-step explanation:
-2w - 5w = -7
1 point
10. Lisa owns a small business. There was a loss of $14 on Monday and a
profit of $18 on Tuesday. On Wednesday there was a loss of $6 and on
Thursday there was a profit of $7. Find the total profit or loss.*
$15 profit
$45 loss
$5 profit
$10 profit
Answer:
$5 in profit
Step-by-step explanation:
simple math
PLEASE HELP ME OUT
Convert the following
35 mL = _____dL
950 g = _____ kg
Answer:
950 g = 0.95 kg
35 mL = 0.35 dL
hope this helps
Answer:
35 mL = 0.35 dL
950 g = 0.95 kg
Step-by-step explanation:
This is the answer because:
1) For mL to dL, divide the volume value by 100: 35/100 = 0.35
2) For g to kg, divide the mass value by 1000: 950/1000 = 0.95
Hope this helps!
` 10,800 for 3 years at 121 2% per annum compounded annually.
Answer:
15,173.22
Step-by-step explanation:
Looks like there's a typo in the question.
Should it be:
10,800 for 3 years at 12% per annum compounded annually.
-------------------------------
a = 10800 * (1.12)^3
a = 15,173.22
What is the value of 3x + 4y² when x = 5 and y = 3?
The value of 3x + 4y² when x = 5 and y = 3 is 51.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is,
3x + 4y²
We have to find the value of the expression when the value of x = 5 and that of y = 3.
For that, substitute x = 5 and y = 3 in place of x and y.
3x + 4y² = (3 × 5) + (4 × 3²)
= 15 + (4 × 9)
= 15 + 36
= 51
Hence the value of the expression is 51.
Learn more about Expressions here :
https://brainly.com/question/455361
#SPJ3
Answer:
51
Step-by-step explanation:
Polly buys 6.8 yards of fabric for $28.90. What is the cost per yard?
Please help? :)
Answer:
Polly has to pay $0.24 per yard of fabric.
Step-by-step explanation:
You simply have to divide the 6.8 yards by the $28.90 cost. The result is $0.235294118 dollars per yard, but since you can't have only half a cent, we will round it to the nearest hundredths and get $0.24 dollars.
Find the value of x
A. 30
B. 40
C. 50
D. 60
Answer:
B. 40
Step-by-step explanation:
We can make this an equation since the entire thing equals 360
3x+110+90+40=360
3x=120
x=40
Answer is B
Brainliest please :)
Thank you so much guys
Answer:
A 2kg body is moving a long a horizontal circular path of radius 2m with constant speed of 6m/s . please help
what is 4x(1+8x) Distributed
Answer:
4x + 32x²
Step-by-step explanation:
4x(1 + 8x) ← multiply each term in the parenthesis by 4x
= 4x + 32x²
How to reduce decimals to fractions.
Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
If I is parallel to m, solve for x.
Answer:
x = 16
Step-by-step explanation:
(8x - 14) = (5x + 34) since they are alternate exterior angles.
Solve for x:
8x - 5x - 14 = 34
3x - 14 = 34
3x = 34 + 14
3x = 48
x = 48/3 = 16
-5/3 + 3 2/3 =
show all your work
Answer:
2
Step-by-step explanation:
Turn 3 2/3 into improper fraction: 11/3
11/3-5/3=6/3=2
Which conditional statement is always logically equivalent to the inverse?
Converse
Conditional
Conjecture
Contrapositive
Answer:
Converse
Step-by-step explanation:
Converse
Ghhhhhhhnbb tggy
The sum of two numbers is x . If one of the numbers is 12, what is the other?
Answer:
x-12
Step-by-step explanation:
let us say that the other number is n. then we have n+12=x or n=12-x
What’s 9x12 divided by 6 x8
Answer:
60
Step-by-step explanation:
9*12=108
6*8=48
108-48=60
identify the constant term in this expression 28m + 4n - 12m +3 =
Step-by-step explanation:
28m+4n-12m+3
28m-12m+4n+3
16m+4n+3
Haley invested $750 into a mutual fund that paid 3.5% interest
each year compounded annually. Find the value of the mutual
fund in 15 years.
The future value of the mutual fund after 15 years is equal to $1,256.55.
Given the following data:
Principal = $5,000Interest = 3.5% = 0.035Time = 15 years
To find the future value of the mutual fund after 15 years:
Mathematically, compound interest is given by the formula:
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.P is the principal or starting amount.r is annual interest rate.n is the number of times the interest is compounded in a year.t is the number of years for the compound interest.Substituting the given parameters into the formula, we have;
[tex]A = 750(1 + 0.035)^{15}\\\\A = 750(1.035)^{15}\\\\A = 750(1.6754)[/tex]
Future value, A = $1,256.55
Read more: https://brainly.com/question/22339845
Answer 1-2 please. highlight and number the answers as well.
Step-by-step explanation:
#1
Volume of aquarium:
V = 5.2*1.8*2 = 18.72 ft³#2
Volume of cylinder:
V = π*5²*9 = 706.86 in³ (rounded to the nearest hundredths)PLS HELP WILL MARK BRAINLIEST!
Answer:
B 81x^2 + 4y^2 that's the answer I have
Answer:
C. 81x² - 4y²Step-by-step explanation:
The shaded region is the difference of the area of square with side 9x and the area of square with side 2y:
A = (9x)² - (2y)² = 81x² - 4y²Correct choice is C
A certain shampoo is available in two sizes. A 14.2-ounce bottle costs $4.99 . A 23.7 -ounce bottle costs 6.97 .
Find the unit price for each size. Then state which size is the better buy based on the unit price.
Answer:
First bag unit price: 2.85
Second bag unit price : 3.40
first bag is better.
Step-by-step explanation:
divide the weight by cost
Answer Quick! No links, please.
Answer:
#1
Slope: 1/2
Y Intercept: -3
#2
Slope: -3
Y Intercept: 2
Help me. Please and thank you.
Answer: Show the options
Step-by-step explanation:
can someone please help me with this
Answer:
ABC = 113°
Step-by-step explanation:
If ABD is 70° and DBC is 43°
ABC is 70°+43° = 113°