Answer:
k < 10
Step-by-step explanation:
An inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers.
Let k represent Ken. The closed side of < is the side the smaller number is going to be on. Ken has fewer marbles then Joe, therefore, k < 10 because Joe has 10 marbles.
=Round each number to five decimal places: a. 23.54 b. 0.916?
Therefore the rounded numbers are 23.54 and 0.9160.
Define rounded numbers.An integer containing one or more "0"s at the end in a certain base is said to be round. In this way, 590 is more rounded than 592 but less rounded than 600. A round number is frequently understood to stand for a value or values close to the nominal value given in both formal and informal language.
What is integer?Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The set of integers is frequently represented in mathematical notation by the boldface Z or blackboard bold mathbb Z.
a. To round 23.54 to five decimal places, we look at the sixth decimal place, which is 4. Since 4 is less than 5, we leave the fifth decimal place as is, and the number rounded to five decimal places is 23.54.
b. To round 0.916 to five decimal places, we look at the sixth decimal place, which is 1. Since 1 is greater than or equal to 5, we increase the fifth decimal place by one, and the number rounded to five decimal places is 0.9160.
To know more about decimal numbers visit: https://brainly.com/question/4708407
#SPJ1
How do you calculate quantity of seed?
The following is how you can calculate quantity of seed:
Sowing rate (kg/ha) = target plant population (p/m2) x TGW (g) x 100. % germination x % emergence.
What is Sowing rate?The quantity of seed necessary for a unit area of land to successfully grow any crop is known as Sowing rate. In other words, the Sowing rate for that crop of the land refers to the quantity of seed needed to successfully raise a crop on a given piece of land. The Sowing rate, on the other hand, refers to the quantity of seed needed to cover a given area of land.
Goals in calculating the Sowing rate:
to make sure there are enough plants in the field.in order to decrease seed waste.to be aware of how much seed will be needed in advance for a specific piece of land.to improve a crop's quality and yield.to lower the expense of growing crops.Learn more about Sowing
https://brainly.com/question/17073740
#SPJ4
Find the solution of the system of equations.
-7x - 3y = - 20
3x+ 6y = -15
Answer:
x = 5 y = -5
Step-by-step explanation:
-7x - 3y = -20
-3y = 7x - 20
y = -7/3x + 20/3
3x + 6(-7/3x + 20/3) = -15
3x - 14x + 40 = -15
-11x = -55
x = 5
-7(5) - 3y = -20
-35 - 3y = -20
-3y = 15
y = -5
(2x + 3) (3x + 4) it says to solve that in box method
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of
Weight of each type of box:
Weight of each big box = 18.75 kg
Weight of each small box = 13.75 kg
What is an equation?The relationship between two terms on either side of a letter is represented by a mathematical formula. Often there is a variable and an equals sign.
The definition of an equation in algebra is a formula that shows the equivalence of two mathematical terms. For example, in the expression 6x + 11 = 14 the two terms 6x + 11 and 14 are separated by the "equals" symbol.
To let
Weight of each big box = x
And the weight of each small box = y
Weight of 3 big boxes:
3 times
5 small box weights:
5 years
3x + 5y = 125 .......................(i)
resemble:
9x + 7y = 265 ......................(ii)
Equation (i) multiplied by -3:
-3 (3x + 5y) = 125 * (-3)
-9x - 15y = -375 ...................(iii)
Under (ii) and (iii):
9x + 7y = 265
-9x - 15y = -375
Adding this gives:
-8y = -110
or y = 110/8
or y = 55/4
y = 13.75
From equation (i), we have:
3x + 5y = 125
or 3x + 5(13.75) = 125
or 3x + 68.75 = 125
3x = 125 - 68.75
3x = 56.25
x = 56.25/3
x = 18.75
Each large box weighs:
18.75 kilograms
Weight of each small box:
13.75 kilograms
To know more about equation refer to:
https://brainly.com/question/19950555
#SPJ1
Can anyone help me on the first question??
Steve ran a 12-mile race at an average speed of 8 miles per hour. If Adam ran the same race at an average speed of 6 miles per hour, how many minutes longer did Adam take to complete the race than did Steve?
Answer:
the picture is the formula.
D stands for distance
S stands for speed
T stands for time
Step-by-step explanation:
Steve
Time = Distance divided by speed
=12miles divided by 8miles per hour
=1.5hours or 90minutes
Distance= 12miles
Speed= 8miles per hour
Adam
Speed= 6miles per hour
Distance= 12miles
Time= distance divided by speed
= 12miles divided by 6miles per hour
=2hours or 120minutes
120minutes - 90minutes=30 minutes
1. Length and breadth of a rectangular table-top are 36 cm and 24 cm respectively. Find its perimeter.
Answer:
120 cm.
Step-by-step explanation:
The perimeter of a rectangle is found by adding up the length of all four sides. In this case, the length is 36 cm and the breadth is 24 cm. Therefore, the perimeter of the rectangular table-top is
2 (length + breadth) = 2 (36 + 24) = 2 × 60 = 120 cm.
Cindy shoots a bottle rocket straight up into the air such that its height h, in feet, at time t, in seconds, is given by the function h of t = negative 16 times t squared plus 85 t + 5.. During what interval will the rocket be at least 43 feet above the ground?
Answer:
t = [0.493,4.2]
Step-by-step explanation:
The height of the rocket straight up into the air is given by :
[tex]h(t)=-16t^2+85t+5[/tex]
We need to find the interval the rocket be at least 43 feet above the ground.
[tex]43\ge -16t^2+85t+5\\\\t\ge 0.493\ and\ t\le 4.82\ s[/tex]
So, the required interval during which the rocket is at least 43 feet above the ground is [0.493,4.2].
Circle of circumstances
The circumference of the circle is 2πr.
What is circumference of a circle?The circumference of a circle is the distance around the outside of the circle. It is given by the formula C = 2πr, where C is the circumference, π is the mathematical constant approximately equal to 3.14 and r is the radius of the circle. In other words, the circumference is equal to the diameter times pi.
For the given question,
The formula of the circumference of the circle,
C = 2πr
where r is the radius of the circle.
Hence we can conclude that the circumference of the circle is 2πr.
To learn more about circumference of the circle visit:
brainly.com/question/27177006
#SPJ1
Determine the value of w. (ASAP HELP PLS!)
A)
90°
B)
25°
C)
155°
D)
89°
Answer:
D
89 degree
Step-by-step explanation:
exterior angle is equal to twp opposite interior angle so w+33=122
then w=122-33
so w=89
plz mark me brilliant
area of the right triangle?
Answer:49
Step-by-step explanation:
what is the slope and y-intercept for y=3/4x
Answer:
the slope is
[tex] \frac{3}{4} [/tex]
and y intercept is 0
Find an equation in slope interact form of the number of pizzas sold as a function of time for Mario's
Answer:
[tex]y = 3x+7[/tex]
Step-by-step explanation:
Given
See attachment for Mario's pizza table
Required
Determine the equation in slope intercept form
First, we calculate the slope of the table using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the table, we have:
[tex](x_1,y_1) = (3,16)[/tex]
[tex](x_2,y_2) = (5,22)[/tex]
So, the slope is:
[tex]m = \frac{22 - 16}{5 - 3}[/tex]
[tex]m = \frac{6}{2}[/tex]
[tex]m =3[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where:
[tex](x_1,y_1) = (3,16)[/tex]
[tex]m =3[/tex]
So:
[tex]y = 3(x - 3) + 16[/tex]
Open bracket
[tex]y = 3x - 9 + 16[/tex]
[tex]y = 3x+7[/tex]
For what value of a the system of equations Ax Y 2 and 6x 2y 3 has a unique solution?
The value of 'a' for which the system of equations has a unique solution is a = 4/3.
The given system of equations can be written as:
Ax = 2
6x – 2y = 3
To find the value of 'a' for which the system has a unique solution, we can solve the equations for 'x' and 'y' and equate them.
Solving for 'x' in the first equation, we get:
x = 2/a
Solving for 'y' in the second equation, we get:
y = (3 + 6x)/2
Substituting the value of 'x' in the above equation, we get:
y = (3 + 6(2/a))/2
Equating the two equations, we get:
2/a = (3 + 6(2/a))/2
Multiplying both sides of the equation by 'a', we get:
2 = 3a + 6
Subtracting 2 from both sides of the equation, we get:
3a = 4
Dividing both sides of the equation by 3, we get:
a = 4/3
Therefore, the value of 'a' for which the system of equations has a unique solution is a = 4/3.
Learn more about unique solution here:
https://brainly.com/question/29157707
#SPJ4
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
y = 32.5
x = 13
Step-by-step explanation:
opposite angles of the parallelogram are equal to each other.
parallelograms form 360° in total
so 60+ 55 = 115 * 2 (because two angles) = 230
360 - 230 = 130 (divide this by two to get one angle of the parallelogram) so 65°
2y = 65 °. and 5x = 65 °
y = 32.5
x = 13
HELP PLEASE 10 POINTS!
a. 160 is what percentage of 40?
b. 40 is 160% of what number?
c. What number is 40% of 160?
Answer for the given problem,
a. Percentage of 160 in number 40 is, 400%
b. The number for which 40 is 160% of that number is, 25
c. The number which is 40% of 160 is, 64
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
a. present quantity = 160
whole quantity = 40
Percentage = 400 %
b. present quantity = 40
Percentage = 160
Whole quantity = 25
c. whole quantity = 160
Percentage = 40%
Present quantity = 64
Hence, Answers are respectively, 400%, 25, 64
To know more about Percentage check:
https://brainly.in/question/33820520
#SPJ1
PLEASE ASAP ILL GIVE BRAINLIEST.
Answer:
Applied force
Step-by-step explanation:
Applied force is a force that is applied to an object by another person or object. e.g. the force applied when Kim pushes the box
Normal force is the force exerted on an object that is in contact with another object that is stable e.g.
Gravitational force is the force attracting objects of mass
Friction force is the force that opposes motion when the surface of one object comes in contact with that of another object
Solve Y, using the Pythagorean Theorem.
Answer:
y = 8.9
Step-by-step explanation:
8^2 + y^2 = 12^2
64 + y^2 = 144
subtract 64 from both sides
y^2 = 80
square root both sides
y = square root 80
y = 8.9
HEEEEEEEEEEEELLLLLLLLLPPP? BRAINLIST WILL BE REWARDED!
In 2016, there were a total of 41 national battlefields and national memorials. The number of national memorials is three less than three times the number of national battlefields. How many of each park unit were there?
Answer: 11, 30
Step-by-step explanation:
Given
There were a total of 41 national battlefields and national memorials
Suppose there are [tex]x[/tex] national battlefields
So, national memorials are [tex]3x-3[/tex]
The sum of the two must be 41
[tex]\Rightarrow x+3x-3=41\\\Rightarrow 4x=44\\\Rightarrow x=11[/tex]
So, there are 11 national battlefields and [tex]3\times 11-3=30[/tex] national memorials.
The Jackson family is planning a weekend vacation. They plan to rent a car from the ABC Car Rental Company. Let m represent the number of miles the family will drive. Let c represent the cost for renting a car. Write an equation that shows what the cost for renting a car will be.
Weekend Special: $40 + $0. 10 per mile
An equation that shows what the cost of renting a car will be: C=R+mc.
Let the rental cost = R
consider m to be the number of miles driven= m
let c be the cost per mile
And C is the total cost of renting;
Then C = R+mc
the given equation $40 + $0. 10 per mile
Now, in the above equation consider:
R =$40 ( the rental cost)
c = $0.10 ( the cost per mile)
The total cost is C = $40+$0.10m
Ex:
if m is known assume m=1000 miles
Then the total cost C = $40+($0.10/mile)(1000miles)
then C = $40+$100=$140
To know more about the equation of cost of renting:
https://brainly.com/question/16404189
#SPJ4
Fred is ordering pies for a family reunion. Each pie costs $8.50. For
orders smaller than a dozen pies, there is a $5 delivery charge. He plans to
order 10 pies. Is the cost proportional to the number of pies ordered?"
Please help I’m very confused
Please and thank you :)
Mohammed is x years old.
Jenny is 7 years older than Mohammed.
Mario is 3 times the age of Mohammed.
The total of their ages is 82.
What are their ages?
Tickets to a concert are $35 each. In addition to the cost for the tickets ordered, there is a $15 processing charge per order
An expression that represents the total cost of an order of n number of tickets: 35n + 15
Let n be the number of tickets to a concert.
Let C be the cost for the tickets
Given that the tickets to a concert are $35 each.
So, by unitary method the cost of n number of tickets would be,
n × 35
And the cost for the tickets would be,
C = 35n
In addition to the cost for the tickets ordered, there is a $15 processing charge per order.
So, the cost for the tickets would be,
C = 35n + 15
This is the required expression.
Learn more about the expression here:
https://brainly.com/question/30091997
#SPJ4
The complete question is:
Tickets to a concert are $35 each. In addition to the cost for the tickets ordered, there is a $15 processing charge per order.
Write an expression that represents the total cost of an order of n number of tickets.
The table shows the heights of students in a group.
Student Height (in inches)
A 49
B 47
C 46
D 45
E 53
What is the mean height of the students in the group? (5 points)
Question 4 options:
1)
46 inches
2)
48 inches
3)
51 inches
4)
53 inches
Answer:
2.) 48 Inches
Step-by-step explanation:
Mean = average so to find the average you add all the numbers together and divide by the number of subjects there are so -
49 + 47 + 46 + 45 + 53 = 240
240 ÷ 5 = 48 in
have a good day! :)
Answer:
number 2). 48 Inches (all crdt goes to the person who typed this first lol)
Step-by-step explanation:
Mean = average so to find the average you add all the numbers together and divide by the number of subjects there are so -
49 + 47 + 46 + 45 + 53 = 240
240 ÷ 5 = 48 in
have a good day! :3
what was the total number of gallons of paint sold?
Answer:
1,600
Step-by-step explanation:
Divide 240 by 3. This is 80, or 5% of the total.
Multiply 80 by 20, to get 1,600, 100% of the total
Can you please help me?
Answer:
[tex]t = \dfrac{I}{Pr}[/tex]
Step-by-step explanation:
Given the equation [tex]I = Prt[/tex]:
To solve for [tex]t[/tex], all we have to do is divide both sides by [tex]Pr[/tex].
[tex]\textrm{} \ \, I = Prt\\\overline{Pr} \ \ \ \overline{\: Pr \: }[/tex]
[tex]t = \dfrac{I}{Pr}[/tex]
Text form:
t = I / Pr
Answer:
[tex]t= \frac{I}{Pt}[/tex]
Step-by-step explanation:
Given the equation,[tex]I=Prt[/tex], solve for the value, t.
[tex]I=Prt[/tex], divide both sides of the equation by [tex]Pr[/tex]. We get,
[tex]t= \frac{I}{Pr}[/tex], final answer.
Which of these leg lengths on a right triangle would create a hypotenuse length of √17?
Answer:
A
Step-by-step explanation:
1A). 1² + 4²
= 1 + 16
= √17
B). 1² + 16²
= 1 + 256
= √256
= 16
C). 2² + 8²
4 + 64
= 68
= 2√16
D). 2² + 15²
= 4 + 225
= √299
2. (02.01 LC)
2x - 20
Solve:
2x = 20
= 2x