Answer:
The dimensions of the rectangular tract of land with a perimeter of 44 kilometers and an area of 120 square kilometers are:
Length = 10 kilometers
Width = 12 kilometers
Explanation: To find the dimensions of a rectangular tract of land when its perimeter and area are known, you can use the formulas:
Perimeter = 2(length + width)
Area = length * width
We know that:
Perimeter = 44 kilometers
Area = 120 square kilometers
So, we can use these values to set up the following equation:
44 = 2(length + width)
And we can solve for length and width.
44 = 2(length + width)
22 = length + width
And now we know that the sum of the length and width of the rectangular tract is 22 kilometers.
Now we have to use the area formula:
Area = length * width
120 = length * width
We can use the value we have for the sum of the length and width to find either the length or the width of the rectangular tract.
For example, we can use the equation:
length = 22 - width
And substitute it into the area equation:
120 = (22 - width) * width
And then we can solve for width:
120 = 22 * width - width^2
width^2 - 22 * width + 120 = 0
We can use the quadratic formula to solve for width.
width = (22 +/- sqrt(22^2 - 4 * 1 * 120))/ 2
So,
width = (22 +/- sqrt(484 - 480))/ 2
width = (22 +/- sqrt(4))/ 2
width = (22 +/- 2)/ 2
width = (24)/ 2
width = 12
So, the width of the rectangular tract is 12 kilometers.
And we can use the equation:
length = 22 - width
to find the length
length = 22 - 12 = 10
So, the dimensions of the rectangular tract of land with a perimeter of 44 kilometers and an area of 120 square kilometers are:
Length = 10 kilometers
Width = 12 kilometers
PLSSS HELP IF YOU TURLY KNOW THISSS
Answer:
8
Step-by-step explanation:
x= 24/3 = 8
Answer:
[tex] \sf \: x = 8[/tex]
Step-by-step explanation:
Given equation,
→ 3x = 24
Now the value of x will be,
→ 3x = 24
→ x = 24 ÷ 3
→ [ x = 8 ]
Hence, the value of x is 8.
INTEGRALS EXERCISES PLEASE HELPPPPP, I’LL GIVE U A CROWN
Answer:
2. sec x + c
1.1 view attached pic
1.2 view attached pic
Step-by-step explanation:
6(9−6)−23+4= I dont konw this
Answer:
-1Step-by-step explanation:
[tex]\sf 6(9-6)-23+4[/tex]
[tex]\sf (6)(3)-23+4[/tex]
[tex]\sf 18-23+4[/tex]
[tex]\sf -5+4[/tex]
[tex]\sf -1[/tex]
Answer:
First you are to do what is in the parenthesis first:
9 - 6 = 3
The equation is now:
6 * 3 - 23 + 4
Then you do the multiplcation:
6 * 3 = 18
18 - 23 + 4
23 + 4 = 27
27 - 18 = 9
Step-by-step explanation:
Hope it helps! =D
1 1/5 - 1/3 greater or less than 1
Answer:
LESS THAN ONE
Step-by-step explanation:
1 1/5 - 1/3=0.86666666666
0.86666666666
MARK ME BRAINLISIST!
I AM POG
A company manufactures and sells shirts the daily profit. The company makes depends on how many shirts they sell the profit in dollars when the company sells X shirts can be found using the function F buy X)equals 6X -90 find the interpret the given function values and determine inappropriate domain for the function f(-9)
profit of
of the problem.
=
f(27)
profit of
of the problem.
=
f(17.5) =
profit of
of the problem.
meaning if the company sells |
dollars. This interpretation
meaning if the company sells
dollars. This interpretation
, meaning if the company sells
dollars. This interpretation
shirts, they would make a
in the context
shirts, they would make a
in the context
shirts, they would make a
in the context
Answer:
The derivative of the profit function P(x) is called marginal profit with notation: P ... Example 2: Given the average cost in dollar per unit C = 357x + 1800 , find: ... (1) the selling price to maximize the revenue is 31 − 3 = 28 dollars per unit ... Example 6: A company has established that the revenue function in dollars is R(x)=2x.
Step-by-step explanation:
Determine the lowest common denominator for each sum or
13/24 • 7/12
Common Denominator: 10 Common Denominator: 12
Common Denominator: 24
7/6 • (-5/12)
344 • (-2/3)
5 - 7/10
1/8 - 5/3
3/2 -4/5
The expressions which are having common denominator 24 are
13/24 + 7/12 , 1/8 - 5/3 and for 10 are 5 - 7/10 , 3/2 - 4/5 and for 12 are
7/6 - 5/12, -3/4 - 2/3.
What is Algebraic expression ?
Algebraic expression can be defined as the combination of variables and constants.
Given ,
So given expressions are,
13/24 + 7/12 = 13+ 7*2 / 24 = 13+14 / 24 = 27/24
7/6 - 5/12 = 7*2 - 5 / 12 = 14-5/12 = 9/12
-3/4 - 2/3 = - (3/4 + 2/3 ) = - ( 9 + 8 / 12) = -17/12
5 - 7/10 = 5*10 - 7 / 10 = 50 - 7 / 10 = 43/10
1/8 - 5/3 = 3 - 8*5 / 24 = 3-40 / 24 = -37 / 24
3/2 - 4/5 = 3*5 - 2*4 / 10 = 15-8 / 10 = 7/10
Therefore, The expressions which are having common denominator 24 are 13/24 + 7/12 , 1/8 - 5/3 and for 10 are 5 - 7/10 , 3/2 - 4/5 and for 12 are 7/6 - 5/12, -3/4 - 2/3.
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this problem has two parts. the second part will appear after you answer the first part correctly. (a) what are the vertical asymptotes of f (x)
The asymptotes of f vertically (x)x=4, -4 are the vertical asymptotes.
An area on a graph where a function approaches infinity or negative infinity is known as a vertical asymptote. It happens when a rational function, which is a function that can be expressed as the quotient of two polynomials, has a denominator equal to zero but a numerator that is not. As a result, there is a noticeable "break" in the graph when the function becomes unbounded. For instance, when x=3, the vertical asymptote of the function 1/(x-3) exists.
As per the data given in the above question are as bellow,
The provided data are,
[tex]\mathrm{F}(\mathrm{x})=\frac{3 \mathrm{x}^2}{\mathrm{x}^2-16}[/tex]
When it comes to vertical asymptotes, the denominator is zero.
[tex]\mathrm{x}^2-16 & =0 \\\mathrm{x}^2 & =16 \\[/tex]
x= ±4
x=4,-4
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a piece in a wooden toy set is a sphere of radius 7cm , with a cylindrical hole of radius 1cm drilled through the center. find the volume of this piece. write the exact answer. do not round.
The volume of the piece is: 4489.33
To find the volume of this piece, we need to subtract the volume of the cylindrical hole from the volume of the sphere.
The volume of the sphere is given by the formula: V = (4/3) * pi * r^3
Where r is the radius of the sphere, so in this case: V = (4/3) * pi * (7cm)^3 = 1436 * 3.14 cm^3 = 4511.32 cm^3
The volume of the cylinder is given by the formula: V = pi * r^2 * h
Where r is the radius of the cylinder and h is the height of the cylinder, since the hole is drilled through the center of the sphere, the height of the cylinder is equal to the radius of the sphere, so: V = 3.14 * (1cm)^2 * 7cm = 21.99 cm^3
So the volume of the piece is: 4511.32 - 21.99 = 4489.33 cm^3
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please help i dont know how to do this
(will give 25 points) .
The values of x in the one-step equation are presented as follows;
x = 4x = 4x = 22x = 65x = 17x = 44x = 2.[tex]\overline{6}[/tex]x = 5x = 12x = -21x = -6.6x = -1/2The calories in the whole cake is 1,680 caloriesPedro made 54 ounces of coffeeWhat is a one-step equation?A one-step equation is one in which the solution can be found with a single step operation.
The solution of the one-step equation found using inverse operations can be presented as follows;
1. 4·x = 16
4·x/4 = 16/4 = 4
4·x/4 = x = 4
x = 4
2. x + 9 = 13
x + 9 - 9 = 13 - 9
x = 4
3. x - 8 = 14
x - 8 + 8 = 14 + 8
x = 22
4. x/5 = 13
(x/5) × 5 = 13 × 5
(x/5) × 5 = x = 13 × 5 = 65
x = 65
5. x - 6 = 11
x - 6 + 6 = 11 + 6
x = 17
6. 2·x = 88
2·x/2 = 88/2 = 44
2·x/2 = x = 44
x = 44
7. 6·x = 16
6·x/6 = 16/6
6·x/6 = x = 16/6 = 2.[tex]\overline{6}[/tex]
x = 2.[tex]\overline{6}[/tex]
8. x + 2.5 = 7.5
x + 2.5 - 2.5 = x = 7.5 - 2.5 = 5
x = 5
9. (2/3)·x = 8
(2/3)·x/(2/3) = 8/(2/3) = 8 × (3/2) = 12
(2/3)·x/(2/3) = x = 12
x = 12
10. x/3 = -7
x/3 × 3 = -7 × 3 = -21
x = -21
11. x - 1.6 = -8.2
x - 1.6 + 1.6 = -8.2 + 1.6 = -6.6
x = -6.6
12. 4·x = -2
4·x/4 = -2/4 = -1/2
4·x/4 = x = -1/2
x = -1/2
13. The number of slices into which the cake is divided = 6 Slices
The amount of calories per each slice of the cake = 280 calories
The amount of calories in the whole cake is therefore;
The sum of the calories in the cake = 6 × 280 calories = 1,680 calories
14. Amount of coffee Pedro served to his friends = 34 ounces
Amount of coffee left over = 20 ounces
The total amount of coffee Pedro made = 20 + 34 = 54
The amount of coffee Pedro makes = 54 ounces
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What is the solution to the system of equations shown in the graph?
Responses
A (0, 5)(0, 5)
B (1, -2)(1, -2)
C no solution
D (0, -1)(0, -1)
E (-2, 1)(-2, 1)
Answer: B is the answer
Step-by-step explanation:
Can someeeeeoneee helppp meeee please
Answer: Yes it's 7
Step-by-step explanation:
10/100 x 70 = 7
Answer:The correct answer would be 7
Step-by-step explanation:
The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes). The monthly cost for 40 minutes of calls is $16.03 and the monthly cost for 81 minutes is $19.72. What is the monthly cost for 64 minutes of calls?
Answer:
18.19
Step-by-step explanation:
$ = linear f(t)
$16.03 = f(40) = fixed fee + per min fee = x + 40y
$19.72 = f(81) = fixed fee + per min fee = x + 81 y
use above 2 equations to minus the other
you get:
19.72-16.03 = 41y
so y = 0.09
so x = 16.03 - 40*0.09 =12.43
so for 64 mins
cost = 12.43 + 0.09*64 =18.19
if jenna saves $2500 per year with an intrest of 10% compounded annually how much would she have in 30 years
Answer: Jenna would have $37,175 in 30 years if she saves $2500 per year with an interest rate of 10% compounded annually.
Step-by-step explanation:
To calculate the total amount Jenna would have after 30 years of saving $2500 per year with an interest rate of 10% compounded annually, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the final amount (principal + interest)
P = the initial principal (the amount Jenna saves each year, $2500 in this case)
r = the interest rate (10% in this case, so 0.10)
n = the number of times interest is compounded per year (annually in this case, so 1)
t = the number of years (30 in this case)
Plugging in the values:
A = $2500(1 + 0.10/1)^(1*30) = $2500(1.10)^30 = $2500(14.87) = $37,175
So, Jenna would have $37,175 in 30 years if she saves $2500 per year with an interest rate of 10% compounded annually.
Answer:
$411,235.06
Step-by-step explanation:
(4×3)÷3[-15-5{6-8+2}]
Answer:
20
Step-by-step explanation:
=12÷3[-15-5{6-8+2}]
=12÷3[-15-5{6-10}]
=12÷3[-15-5-4]
=12÷3[20-4]
=12÷3+16
=4+16
=20
h(x) = 3x; Find h(-6)
Express the following as a rate.
a) 20 litres of Petrol for R180
The rate of petrol in this case is R9 per liter.
What is rate?
In mathematics, rate is a measure of how one quantity changes in relation to another quantity. It is often expressed as a ratio or fraction, where the numerator represents the amount of change in the first quantity and the denominator represents the amount of change in the second quantity.
The rate of petrol can be expressed as the cost per liter. To find the cost per liter of petrol in this case, we can divide the total cost by the total amount of petrol:
Cost per liter = Total cost / Total amount
For the given scenario, we have 20 litres of petrol for R180. So the rate can be calculated as:
Rate = Total cost / Total amount = R180 / 20 litres
Simplifying the expression, we get:
Rate = R9 per litre
Therefore, the rate of petrol in this case is R9 per liter.
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A cylinder measures 5 inches tall and has a base radius of 8 inches. How does the cylinder's lateral area compare to the sum of the areas of the two bases? Use π≈3.14. Enter your answer, rounded to the nearest tenth, in the box to correctly complete the statement. The lateral area of the cylinder is approximately square inches less than the sum of the areas of the two bases.
Answer:
nches. L.S.A.=2π(3)(9)=54π inches2. ≈169.64 inches2
Step-by-step explanation:
i need help please i have been stuck on this problem for 2 months too
Answer:
280 cubic m
Step-by-step explanation:
SA of rectangular prism = 2lh + 2lw + 2hw
w = width
l = length
h = height
SA = 2(5)(6) + 2(5)(10) + 2(6)(10)
SA = 2(30) + 2(50) + 2(60)
SA = 60 + 100 + 120
SA = 280
6.
Stem
1
2
3
Leaf
556
1 1 1
5 6
16 means 1.6
Match the stem and leaf plot to the correct set of data.
The correct set of data matched to the stem and leaf plot is given as follows:
1.5, 1.5, 1.6, 2.1, 2.1, 2.1, 3.5, 3.6.
What is a stem-and-leaf plot?The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:
1|6 = 1.6.
(in the context of this problem).
Following the key format, the measures listed in the answer represent the correct data-set from the stem-and-leaf plot.
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when the data have the properties of interval data and the multiplication or division of two values is meaningful, the variable has which scale of measurement?
When the data have the properties of interval data and the multiplication or division of two values is meaningful, the variable has which scale of measurement is referred to as Ratio Scale.
Now, According to the question:
A scale of measurement can be defined as a classification which is used to illustrate the attributes of the values that are assigned to variables associated with a data set.
The scales of measurement.
Generally, there are four (4) basic scale of measurement for a variable and these include the following;
Interval scaleRatio scaleOrdinal scaleNominal scale
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Find the measure of angles 1 and 2.
Explain your reasoning as to how you determined the measurements of angles 1 and 2.
The required values of the angle ∠1 and ∠2 are 135°and 135°respectively.
Explain about angle.An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
According to question:We need to find angle 1 and 2
So, by using corresponding angle theorem,
∠1 = 135°
Similarly for ∠2
By using vertically opposite angle,
∠2 =135°
Thus, required value of the angle are ∠1 = 135°, ∠2 =135°.
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Please help me out on my homework
Answer:
no solutions
Step-by-step explanation:
8(2w - 3) = 4(4w - 8)
Use distributive property.
16w - 24 = 16w - 32
subtract 16w from both sides.
-24 = -32
When the variable falls out of the equation as you are working on it, and you're left with a false statement, there is no solution.
Answer:
no solution
Step-by-step explanation:
to find the value of w, we have to isolate it on one side of the equation.
first, we distribute the numbers outside of the parentheses and multiply them to each term on the inside. this gives us:
16w - 24 = 16w - 32
next, we move 24 to the other side of the equation by adding 24 to both sides. by doing this, we get rid of 24 on the left side by making its value 0, and we add it to -32 on the right side. this gives us:
16w = 16w - 8
after this, we do the same with the 16w on the right side and subtract it from both sides. however, you might notice that there's a problem here.
when you try to move the 16w on the right side to the left side, you subtract 16w from itself, which gets rid of the variable entirely. whenever this happens, there are no values of the variable that make the equation possible- meaning that the answer is no solution.
hope this helped, good luck!
Write a system of equations.. Taxi company charges a fee of $10 plus $2.50 per mile, taxi company #2 charges $4.00 per mile with no fee
PLEASE HELP, DUE TOMORROW
The equation for the situation described in your problem would be y is $10x + $2.50 .
How do a set of equations work with answers?To utilize substitution to resolve an equational system:
Divide one of the two variables in one of the equations.
Substitute the expression that the isolated variable's equivalent from Step 1 into the other equation.
Solve the linear equation for the last variable.
system of equations, simultaneous equations Algebraic equations involving two or more must be solved cooperatively (i.e., the solution must satisfy all the equations in the system). For a system to have a single solution, the number of equations must equal the number of unknowns. Even then, a solution is not guaranteed.
The following equation would apply to the scenario in your problem:
y =$10x + $2.50
y = $2x + $4.00
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Colin had $23 to spend on four raffle tickets after buying them had $11 how much did each raffle ticket cost what’s the equation HELPPP
Colin had $23 to spend on four raffle tickets after buying them had $11. So each raffle ticket cost is $3 and the equation is 4x + 11 = 23.
Colin had $23 to spend on four raffle tickets after buying them had $11
We have to determine how much each raffle ticket cost and the equation.
Let the cost of one raffle is x.
So the cost of four raffle is 4x.
Colin has total $23.
Colin has left money = $11
So the required equation should be
4x + 11 = 23
Now solving the equation
Subtract 11 on both side, we get
4x = 12
Divide by 4 on both side, we get
x = 3
The cost of one raffle is $3.
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A popular gaming console that retails for $299,
was sold out for quite some time. Jake finally
found it on a resale platform, but it was marked
up 40%.
If Jake finally found the gaming console on a resale platform, it was marked up 40% ,then the amount that Jake has to pay to buy it is $418.6 .
The retail price of the gaming console is = $299 ;
the markup in the price of the gaming console is = 40% ;
then the new price of the gaming console is = 299 + 40% of $299 ;
= 299 + 0.40 × 299 ...because 40% is 0.40
Simplifying further ,
we have ;
= 299 + 119.6
= 418.6
Therefore , Jake has to pay $418.6 for the gaming console to buy from the resale platform .
The given question is incomplete , the complete question is
A popular gaming console that retails for $299, was sold out for quite some time. Jake finally found it on a resale platform, but it was marked up 40% , Find the amount that Jake has to pay to buy it .
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-60=x-16, -60+?=x-16+?
The value of x when using addition property of equality to solve the given problem is; -44
How to use addition property of equality?The addition property of equality is a property of equality that states that when the same quantity is added to both sides of an equation, it will produce an equivalent equation. For example, 4 = 2 + 2 is an equation due to the fact that both the right and the left-hand sides of the equal sign represent the number 4.
The equation to solve is;
-60 = x - 16
By the use of addition property of equality, we will add 16 to both sides to get;
-60 + 16 = x - 16 + 16
x = -44
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Workers in an office of 40 staff were asked their favourite type of take-away. The results are summarised in the table. Take-away Frequency Angle Pizza 3 a Curry 12 b Fish & chips 7 c Kebab 3 d Other 15 e Work out the size of each angle to draw a pie chart.
The measure of angles a, b, c, d and e are 54°, 18°, 108°, 81° and 99°.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given that, workers in an office of 40 staff were asked their favorite type of take-away.
Fraction of a person = 1 degree
Here, 360° = 40 people
So, 1 degree = 40/360 =1/9
Now, angle a =6/40 ×360
= 54°
Angle b= 2/40 ×360
= 18°
Angle c= 12/40 ×360
= 108°
Angle d = 9/40 ×360
= 81°
Angle e =11/40 ×360
= 99°
Therefore, the measure of angles a, b, c, d and e are 54°, 18°, 108°, 81° and 99°.
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What is angle CBD
A=60
D=80
C=25
The measure of angle m∠CBD is equal to 55°
How to to evaluate for the missing angle m∠CBDWe shall first find the measure of the angle m∠CDB so that we can evaluate for the measure of angle m∠CBD using the sum of interior angles of a triangle theorem as follows:
m∠ADB and m∠CDB are on a straight line and their sum is equal to 180° so;
m∠CBD + 80° = 180° {sum of angles on a straight line}
m∠CDB = 180° - 80° {subtract 80° from both sides}
m∠CDB = 100°
m∠BCD + m∠CDB + m∠CBD = 180° {sum of interior angles of a triangle}
25° + 100° + m∠CBD = 180°
125° + m∠CBD = 180°
m∠CBD = 180° - 125° {subtract 125° from both sides}
m∠CBD = 55°
In conclusion, the measure of angle m∠CBD is equal to 55°.
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It takes Julie 4 minutes to run a kilometer. How many kilometers can she run in 12 minutes?
Answer: 180 kilometers
Step-by-step explanation:
Answer:
I think she runs 1 kilometer every 5 minutes
Step-by-step explanation:
Thannklkkkk you sooo much for the helppp
Answer:
33
Step-by-step explanation:
55/100×60
= 33pink blocks