Answer:
the smallest dimension = 100 ft
the largest dimension = 150 ft
Maximum Area = 15000 ft²
Step-by-step explanation:
let x represent length of one side and L represent length of adjacent side
so from the question
3x + 2L = 600
2L = 600 - 3x
L = (600 - 3x)/2
L = (600/2) - (3x/2)
L = 300 - (3x/2)
now Area of rectangle = L × x
Area = (300 - (3x/2)) × x
Area = 300x - 3x²/2
now we differentiate with respect to x and equate to 0 in other to find critical point
dA/dx ⇒ 300x/x - 3x²/x = 0
300 - 3x = 0
3x = 300
x = 300/3
x = 100
so we input value of x into our previous equation
Area = 300x - 3x²/2
= 300(100) - (3(100)²)/2
= 30000 - 15000
Area = 15000
also we input value of x in L = 300 - (3x/2)
L = 300 - (3(100))/2)
L = 300 - 150
L = 150
Therefore
the smallest dimension = 100 ft
the largest dimension = 150 ft
Maximum Area = 15000 ft²
Landon and his children went into a bakery and will buy donuts and brownies. Each donut costs $1 and each brownie costs $3. Landon has a total of $15 to spend on donuts and brownies. Write an inequality that would represent the possible values for the number of donuts purchased, dd, and the number of brownies purchased, b.b.
Answer:
she could by 3 brownies BB and 6 donuts DD
Step-by-step explanation:
369 so that be 3 BB and then the donuts are 1$ so 10 11 12 13 14 15
1 2 3 1 2 3 4 5 6
Stephanie purchased seven note books for 12.25. What is the cost of per notebook
Answer:
1 dollar 75 cents or $1.75
Step-by-step explanation:
SECOND TIME I SAY THIS PLZ ANSWER ASAP I NEED HELP!!!!!!!!!!!!!!!!
Answer:
all sides will be 20
Step-by-step explanation:
100 divided by 5=20
-23-x=x-5 one solution infinite solution or no solution?
Answer:
one solution
Step-by-step explanation:
-2x=18
x=-9
evaluate b(x)=18-0.5x when x= -2,0, and 5.
Answer:
19, 18, 15.5
Step-by-step explanation:
b(-2) =
18 - 0.5(-2)
18 - (-1)
b(x) = 19
b(0) =
18 - 0.5(0)
18 - 0 =
b(x) = 18
b(5) =
18 - 0.5(5)
18 - 2.5
b(x) = 15.5
N the United States, the average public school teacher currently earns an annual salary near $55,202. Reported national average salaries for the last six decades are listed below. Year National Average Teachers' Salary 1960 $4,995 1970 $8,626 1980 $15,970 1990 $31,367 2000 $41,807 2010 $55,202 Determine the average salary increase per year between the years 1980 and 1990. $1,539.70 $8,367.80 $2,566.20 $1,004.10
Answer:
$1,539.70
Step-by-step explanation:
Given the data :
National average Teachers' salary (NATS)
YEAR:_1960 _ 1970 _ 1980 _ 1990 _ 2000 2010
NATS:4995_8626_15970_31367_41807_55202
AVEAGE SALARY INCREASE PER YEAR BETWEEN 1980 and 1990
Salary in 1980 = $15970
Salary in 1990 = $31367
Average salary increase per year:
Difference in salary / difference in years
$(31367 - 15970) / (1990 - 1980)
= $15397 / 10
= $1539.7
Darlene purchases 20,000 worth of stock on her brokers advice and pays her broker a 1.5% broker fee darlene purchases 20,000 worth of stock on your brokers advice and pays her broker a 1.5% broker freeshe sells her stock when it increases to $28,600.02 years later and uses a discount broker who charges $21 per trade compute Darlenes net proceeds after the broker fees are taken out
Answer:
Darlene's net proceeds after the broker fees are taken out is $8,279.
Step-by-step explanation:
From the question, the following can be obtained:
Basic cost of purchase of the stock = $20,000
Broker fee related to purchase = Basic cost of purchase of the stock * 1.5% = $20,000 * 1.5% = 300
Total cost of purchase of the stock = Basic cost of purchase of the stock + Broker fee related to purchase = $20,000 + 300 = $20,300
Selling price = $28,600
Broker fees related sales = 21
The net proceed can therefore be calculated as follows:
Net proceeds = Selling price - Broker fees related sales - Total cost of purchase of the stock = $28,600 - $21 - $20,300 = $8,279
Therefore, Darlene's net proceeds after the broker fees are taken out is $8,279.
Leon packs thirty business envelopes in each of twenty-five boxes and thirty regular envelopes in each of twenty boxes. How many envelopes does he pack?
Answer: 1350 envelopes
Step-by-step explanation:
From the question, Leon packs thirty business envelopes in each of twenty-five boxes. The total business envelopes here will be:
= 30 × 25
= 750
Leon picked thirty regular envelopes in each of twenty boxes. The total regular envelopes will be:
= 30 × 20
= 600
Total envelopes will now be:
= 750 + 600
= 1350 envelopes
I need help
Select the correct answer.
Sam and his mother made an agreement for the upcoming weekend concerning internet usage and watching television. The function on the graph below represents the agreement they made.
If Sam follows the agreement, what does the x-intercept represent?
A.
Sam will always spend more time watching television than on the internet if he follows the agreement.
B.
Sam watching television for 10 hours and spending no time on the internet.
C.
Sam spending 5 hours on the internet and no time watching the television.
D.
Sam will always spend more time on the internet than watching television if he follows the agreement.
Answer:
A.
Step-by-step explanation:
Sam will always spend more time watching television than on the internet if he follows the agreement.
NEED BRAINLYEST PLZ!!!!!!!!!!!
Sam spending 5 hours on the internet and no time watching the television.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
From the graph, the line is passing through two points (0, 10) and (5, 0)
m=0-10/5-0=-2
From the graph, the x intercept is at 5 on x axis.
Sam spending 5 hours on the internet and no time watching the television.
Hence, Sam spending 5 hours on the internet and no time watching the television.
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ2
Find the mean of the integers
-3.-8.12.-15.9
The mean is
Please helppp
Answer:
-9
Step-by-step explanation:
-3+-8.12+-15.9=-27.02
-27.02/3=-9.00666..
mean=-9.006(6 repeating) so around 9
.I bought 3 bags of marbles. My friend bought 1 bag and he also had 24 loose marbles. We discovered that we had exactly the same number of marbles. a. Make up and equation to show this information. (let x be the number of marbles in 1 bag) b. Solve the equation to determine how many marbles there are in each bag.Immersive Reader
Answer:
3x = x + 24
x = 12 Marbles in each bag!
Step-by-step explanation:
Given:
Total number of bag = 3
Find:
a. Equation
b. Find value of x
Computation:
a. 3x = x + 24
b. 3x = x + 24
3x - x = 24
2x = 24
x = 12
b. x = 12 Marbles in each bag!
Please answer fast!
Evaluate 2(n+3) if n= -14
Answer:
-22
Step-by-step explanation:
2(n + 3) when n = -14
~Substitute
2(-14 + 3)
~Add
2(-11)
~Multiply
-22
Best of Luck!
What is (-1,2) rotated 90 degrees clockwise
Answer: 2, 1
Step-by-step explanation:
Whenever you rotate a point on a graph 90 degrees you go from (x,y) to (y,-x)
so -1, 2 goes to 2, 1
Pls help me
This was my 6th question
It is really hard
Answer:
it's c
Step-by-step explanation:
Solve the following 9 bananas cost $0.99. At this rate, how much do 5 bananas
cost?
Answer:
5 bananas cost $ .55
Step-by-step explanation:
9x = .99
divide by 9, each banana is $.11
multiply by 5 to get cost.
The product of a number and six, less two is sixteen..... help
least to greatest 4/5,-1.4, 0.75, -21/3,21%
Answer: -1.4, -21/3, 4/5, 21%
Step-by-step explanation:
I really need help lol
can this problem be solved?
Answer:
The discriminant is -23
The equation has 0 real solution
Step-by-step explanation:
The discriminant of the quadratic equation ax² + b x + c = 0 is Δ = b² - 4ac
If Δ > 0, then the equation has two different real solutionsIf Δ = 0, then the equation has one real solutionIf Δ < 0, then the equation has no real solutionsLet us use the rule above to solve the question
∵ x² - x + 6 = 0
∴ a = 1, b = -1 and c = 6
∵ Δ = b² - 4ac
∴ Δ = (-1)² - 4(1)(6)
∴ Δ = 1 - 24
∴ Δ = -23
∴ The discriminant is -23
∵ -23 < 0
∴ Δ < 0
∴ The equation has no real solutions
∴ The equation has 0 real solution
10000000000000000000000000000000000000000000000x100000000000000000000000000000000000.1
search it up its 1e+81.
Answer:
1e+81 or 1 × 10 to the power of 81Step-by-step explanation:
10000000000000000000000000000000000000000000000
times
100000000000000000000000000000000000.1
is too much for the calculator
and it will do this in return for asking this.
1e+81
Hope this helps! <3
PLZZ HELPPPP!!!!!⚠️Plz dont answer uf dont know⚠️
Answer:
B
Step-by-step explanation:
1/2 y +x, well, no one reads these so...The Answer is B
54x + 15 = -3 (3y + 1)
I need help finding the equation for y
Answer: y = -6x - 2
Step-by-step explanation:
54x + 15 = -3(3y + 1) To solve for y distribute on the right side to get,
54x + 15 = -9y -3 Add 3 to both sides
+3 +3
54x + 18 = -9y Divide each term by -9 on each side.
y = -6x - 2
Answer______
54x + 15 = -3 (3y + 1)
54x + 15 = -9y -3
+3 +3
54x + 18 = -9y
y = -6x - 2
what is the greatest common factor of 13 and 39 please help quick
Answer:
13
Step-by-step explanation:
Answer:13 is the greatest common factor
Step-by-step explanation:
4.What is the area of a parallelogram with a base of 10 meters and a height of 5 meters?
Answer:
50m²
Step-by-step explanation:
10×5=50
The rate of change is $____ per year
Answer:
-6 is the rate of change per year
Step-by-step explanation:
The amount in dollars decrease by 6 every year.
It went from $27 to $21 to $15 and finally to $9.
Hope I helped you!!
How do you find the inverse of a set order of pairs
Answer:
The inverse of a function is the set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function. In plain English, finding an inverse is simply the swapping of the x and y coordinates.
Step-by-step explanation:
what is the inequality statement 4/13 6/13
Answer:
4/13 < 6/13
Step-by-step explanation:
I will assume you want to see which one is greater.
We don't need to find common denominators since they already have one which is 13.
We know that 4 < 6 so this means that 4/13 < 6/13
Best of Luck!
Point L is on line segment \overline{KM}
KM
. Given LM=3x+3,LM=3x+3, KM=5x+4,KM=5x+4, and KL=5x+1,KL=5x+1, determine the numerical length of \overline{KM}.
KM
.
Answer:
KM = 4 units
Step-by-step explanation:
Here, we are to determine the numerical length of KM
since point L is on the line segment;
Then;
KM = KL + LM
Thus;
5x + 4 = 5x + 1 + 3x + 3
5x + 4 = 8x + 4
8x - 5x = 4-4
3x = 0
x = 0/3 = 0
From the question;
KM = 5x + 4
Substitute x = 0
Thus we have;
5(0) + 4 = 4
KM = 4 units
Please help I’m really stuck
A taxi costs $25.20 for 36 miles. How much does the taxi cost per mile?
Answer:
$0.7
Step-by-step explanation:
$25.20 ÷ 36 = $0.7 per mile
Answer:
Step-by-step explanation:
0,7
