The coordinates of point V is ( 15/2, and 11/2).
What is the Midpoint of a Line Segment?A line segment's midpoint is a point that divides the line segment across two equal sections. The midpoint of a line segment with coordinates at both ends X₁, Y₁ and X₂, Y₂ is calculated using the:
According to the given information:
Point M has Coordinates (5, 6).
point U has coordinates (10, 5).
We know that to find the Midpoint of a Line Segment:
( X₁+X₂)/2 , (Y₁ + Y₂ )/2
Now Putting the value in the formula;
MU = ( X₁+X₂)/2 , (Y₁ + Y₂ )/2
= (5 + 10)/2 , (6 + 5)/2
= 15/ , 11/2
Therefore, The coordinates of point V ( 15/2, 11/2).
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The area of the triangle below is 5.89 square meters. What is the length of the base?
Answer:
b=?(x)
h=2.9
A=5.8
A=b×h/2
5.8=2.9x/2
5.8×2=2.9
11.6=2.9x
11.6/2.9=x
4=x
Money in Brazil is called a Real (abbreviated R$). Davi starts a coffee business. He makes 3.82 R$ for every cup of coffee sold. How many cups would he need to sell to make at least 500 R$ profit?
What's the inequality for this story?
Write the steps to solve it
What is the solution
When this inequality is graphed will the limit be an open or closed circle?
When this inequality is graphed will the line have an arrow pointing to the right or to the left?
Davi needs to sell 131 cups to make at least R$500 profit , the inequality for this story is 3.82x ≥ 500 ,
In the question ,
it is given that
Davi makes R$3.82 per cup of coffee sold .
he needs to make at least R$500 profit
let the number of cups of coffee sold = x ,
the term "at least" means " ≥ " ,
So , According to the question , the inequality becomes
3.82x ≥ 500
x ≥ 130.89
x ≥ 131 .....as number of cups cannot be in decimal .
so the minimum number of cups to be sold is 131 cups.
When the inequality x ≥ 131 , will be graphed then the limit will be an closed circle as equal to sign is included in the inequality .
as when the numbers increases , it move towards right side
So, When the inequality is graphed, the line will have an arrow pointing towards the right .
Therefore , Davi needs to sell 131 cups to make at least R$500 profit ,
the inequality for this story is 3.82x ≥ 500 ,
the limit of graph will be closed circle and arrow will be pointing towards right .
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Write a real-world problem
that is represented by the division problem 38 ÷ 5 = 7 R3 in which it makes sense to round the quotient up to 8.
Please help me it’s due tmrw
Thanks!!! :)
Answer:
answer is ask to your parents
(3+√c) (2√c - 3) = 1 + k√c
where c and k are prime numbers.
(a) Find the value of c and the value of k.
Answer:
c = 5
k = 3
Step-by-step explanation:
We have the expression:
(3+√c) (2√c - 3) = 1 + k √c
Expanding the LHS using the FOIL method =>
(3 + √c) (2√c -3)
= (3)(2√c) + 3(-3) + (√c)(2√c) -√c(3)
= 6√c -9 + 2(√c)² -3√c
= 3√c + 2c - 9 [(√c)² = c]
Setting this equal to the RHS of 1 + k√c gives us
3√c + 2c - 9 = 1 + k √c
Since c and k are prime numbers, √c is irrational.
Therefore we match the irrational terms to get
3√c = k√c
=> k = 3 [divide both sides by √c]
Substitute k = 3 into 3√c + 2c - 9 = 1 + k √c
=> 3√c + 2c - 9 = 1 + 3√c
Add 9 to both sides
=> 3√c + 2c - 9 + 9 = 1 + 9 + 3√c
=> 3√c + 2c - 0 = 10 + 3√c
Subtract 3√c from both sides to eliminate this term on both sides
=> 3√c - 3√c + 2c - 0 = 10 + 3√c 3√c
=> 0 + 2c = 10 + 0
=> 2c = 10
Dividing by 2 on both sides gives us
c = 5
Answer: c = 5, k = 3
Question 5 ? Question What does the point (6,0) represent? O the length of time it takes for the height of the plant to reach 72 centimeters O the initial amount of plant food O the amount of plant food used each day O the length of time it takes for Ryan to use all the plant food
The point (6,0) represent the length of time it takes for Ryan to use all the plant food
What is Time ?
Time is a continual and continuous series of events that take place one after another, from the past through the present and into the future. The duration of events or the gaps between them can be measured, compared, or even ordered using time.
The location and value of x at which the function represented by f(x) equals zero are known as the x-intercept.
The height of the bean sprout and the quantity of plant food added were both measured, per the information given.
Given the observational aspect of the experiment, we know that the function of the variable y = f(x) is the height of the bean sprout, and the variable x, which may be chosen by the researcher, is the amount of the additional plant food.
As a result, the x-intercept, which represents the experiment's starting position (represented by the natural numbers of y = 0), shows how much plant food was initially added to the soil.
Hence, The point (6,0) represent the length of time
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The point (6, 0) represents the initial amount of plant food, which is 0 at this point.
When representing a point in the form (x, y), the x-coordinate typically represents a quantity or value on the horizontal axis, while the y-coordinate represents a quantity or value on the vertical axis.
The point (6,0) means that the x-coordinate is 6, which corresponds to a specific value or measurement along the horizontal axis.
Since the context of the question refers to plant food, the x-coordinate of 6 likely represents a measurement related to the amount of plant food.
The y-coordinate, in this case, is 0, indicating that there is no height or value represented on the vertical axis.
Therefore, (6, 0) represents the initial amount of plant food, which is 0 at this point.
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Write the rational number as a decimal
1 5/6
The answer is 1.83
Step-by-step explanation:
Look it up
a number,x,is rounded to 1 decimal place is 12.3 write down the error interval for x.
we know that, a number X, rounded to 1 decimal place is 12.3
so,
X>=12.25
and
X<12.35
The error interval for X is [12.25,12.35)
The Distributive Property - 5(y - 4)
Answer:
-5y + 20
Step-by-step explanation:
Distributive property: multiply the outside terms with the inside terms
-5(y - 4)
-5 x y = -5y
-5 x 4 = -20
-5y + 20
So -5(y - 4) simplified using distributive property is -5y + 20
Your welcome hope this helps :)
A farmer has harvested 26 bushels of
apples and can harvest 24 bushels of
apples each day. In how many days
will she have more than 100 bushels
to sell? Write an inequality represents
this situation. Solve and graph the
inequality on a number line and write
three answers that can represent x.
Write three solutions to the inequality that can be represented by the numbers x 26 + 24 n > 100.
What does maths' inequality mean?A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.
Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols >,,, or indicate that the two expressions in an inequality are not always equal.
Equations and inequalities are both mathematical sentences formed by relating two expressions to each other
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The equation of inequality is [tex]26+ 24n > 100[/tex] .
What is inequality?Inequality, is a declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.
Make use of the following steps to solve an inequality:
Step 1: Remove fractions by multiplying all terms by the fractions' lowest common denominator.
Step 2: Simplify the inequality by merging like terms on each side.
Step 3: Add or subtract amounts to get the unknown and the numbers on either side.
In this question it is given that the farmer has 26 bushels of apples
Number of apples he can harvest each day is 24 bushels. This statement indicates that this is not constant.
Thus let us consider a variable say n to represent the inequality.
So we can write it as 24 n.
Also given that she has to sell more than 100 bushels.
The final equation becomes:
Apples present + Number of apples added each day > 100
⇒ 26+ 24n> 100 is the final answer.
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Due in one minute! Help please!!
Answer:
[tex]2x - 25 = 87 \\ 2x = 87 + 25 \\ 2x = 112 \\ \frac{2x}{2} = \frac{112}{2} \\ x = 56[/tex]
I USED THE REASON ALTERNATE ANGLES ARE EQUAL
Find the measure of w
Answer:
56
Step-by-step explanation:
Because w and 124 make a straight line. So you would need to subtract 180 from 124
Answer:
A )56
Step-by-step explanation:
Find the number of degrees moved by the minute hand of a clock in the given amount of time of 7/12
Based on the amount of time given, the number of degrees that the minute hand on the clock would have moved is 210 degrees
How to find the number of degrees moved?Based on the fact that the clock is a circle in shape, it means that when the minute hand moves around the clock for an hour, it would have moved 360 degrees.
If the time moved by 7/12 hours, the number of degrees it moved was then:
= Number of degrees x Number of hours
= 360 x 7/12
= 2,520 / 12
= 210 degrees
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In complete sentences, explain the following:
What could happen if you don't stick to a budget?
a healthy young student used an elliptical trainer for 40 minutes at the gym. although the workload remained constant, the student's heart rate rose to 150 beats per minute during the first 5 minutes, stayed at that level for the next 25 minutes, and then started to rise. it was 180 beats per minute at the end of the exercise period. what was the time interval between qrs complexes when the student's heart rate was 180 beats per minute?
It takes 10 minutes to fry one steak - 5 minutes from each side. Two steaks can fit on a pan. What is the shortest possible time to fry 3 steaks
The shortest possible time is 15 minutes.
It takes 10 minutes to fry one steak - 5 minutes from each side. Two steaks can fit on a pan. What is the shortest possible time to fry 3 steaks?
If I go with the conventional way then I can fry two steaks together taking ten minutes and then I can fry the third one in another ten minutes. So total time 20 minutes.
Assuming that I have only one pan and three steaks to fry. We can even use unitary method .
I will put two steaks in the pan then after 5 minutes I will take out one steak and put the other steak while I will flip the steak which is still in the pan. So in first ten minutes I have only one steak ready. Then I will flip the newly added steak in the pan and put the half side fully cooked steak also in the pan. So in this way in the coming five minutes my other two steaks will also get cooked. Total time taken=5+5+5=15 minutes.
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A heap of garbage in the shape of a cube is being compacted. Given that the volume
decreases at a rate of 2 cubic meters per minute, find the rate of change of an edge of the cube when the volume is exactly 27 cubic meters.
The rate of change of an edge of the cube is 0.074 m/min.
What is the rate of change of volume of cube?The rate at which the volume of the cube changes is calculated as follows;
dv/dt = 2 m³/min
where;
v is the volume of the cubeThe length of edge of the cube will be denoted with a, and it is related to the volume of cube in the following equation.
v = a³
a = v^¹/₃
where;
a is the length of the edgeThe change in the edge with volume;
da/dv = 1/3 (1/v)^2/3
The change in edge of the cube with time is given as;
da/dt = da/dv . dv/dt
da/dt = 1/3 (1/v)^2/3 x 2 m³/min
da/dt = 1/3 (1/27)^2/3 /m² x 2 m³/min
da/dt = 1/27 x 2 m/min
da/dt = 2/27 m/min
da/dt = 0.074 m/min
Thus, the rate at which the edge of the cube changes with time is smaller compared to the volume.
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in preparation for moving into his first apartment after college, Winston goes on a shopping spree and spends $984 on furnishing, decorations, and other home goods. Sales tax in his area is 8.19%, and none of the items he buys are tax exempt. What will Winston’s total bill be at the cash register? Round to the nearest cent
Winston's total bill at the cash register is $1064.59
Sales tax for the items purchased is $80.59
Given,
The price for the items Winston purchased = $984
Sales tax in Winston's area = 8.19%
We have to find Winston's total bill at the cash register:
Total amount = Price of the items + sales tax amount
Sales tax amount = 8.19% of price of items
Sales tax amount = (8.19/100) × 984
Sales tax amount = $80.59
Now,
Total bill amount = Price of the items + sales tax amount
Total bill amount = 984 + 80.59
Total bill amount = 1064.59
Therefore, Winston's total bill at the cash register is $1064.59
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∠A and \angle B∠B are vertical angles. If m\angle A=(4x-4)^{\circ}∠A=(4x−4)
∘
and m\angle B=(5x-29)^{\circ}∠B=(5x−29)
∘
, then find the measure of \angle A∠A.
The value of angle A when A and B are vertical opposite angles is 96°.
How to illustrate the information?It should be noted that vertical angles are equal. Based on the information illustrated, it should be noted that angle A = 4x - 4 and angle B = 5x - 29.
Then, we will equate the equations and this will be:
Angle A = Angle B
4x - 4 = 5x - 29
Collect like terms
5x - 4x = -4 + 39
x = 25
Since angle A = 4x - 4 = 4(25) - 4 = 100 - 4 = 96°
Angle A is 96°.
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11 Amelia has a rectangular table that measures 4 feet wide and 5 feet long. She rotates the table 90° clockwise so that it fits better in the room. What is the length in feet of the table after the rotation?
The only possible answer that would match the simplified inequality is the first answer choice .i.e., -5c + 2 _< _27
What is the mathematical operation?An operation, often known as "operand" or "argument," is a function in mathematics that converts zero or more input values into a clearly defined output value. The operation's arity is determined by number of operands.
Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are operations that are most frequently studied. A constant is operation with arity zero, often known as a nullary operation. An example of an operation of arity 3, sometimes known as ternary operation, is the mixed product.
The arity typically assumed to be limited. The "typical" operations of finite dimensionality are referred to finiteary operations when infinitary operations are taken into consideration.
Similar to an operation, but with partial function in place of a function, is the definition of a partial operation.
A closed or filled-in circle represents greater/lesser or equal to symbol (> or with the line at the bottom).
You must flip the inequality sign when multiplying or dividing when one of terms is negative on both sides. In inequality equations, this rule only holds when multiplying or dividing by negative value. This rule is very crucial.
-5c + 2 _< _27
subtract from both sides by 2
-5c _< _ 27
divide both sides by -5
c _< _ 5.4
flip the inequality sign
c _> _5.4
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Rewrite 140 + 200 using the GCF and factoring.
Answer:
20(7 + 10)
Step-by-step explanation:
The GCF of 200 and 140 are 20
.: by GCF and factoring we have:
20(7 + 10)
Opening the bracket still gives the initial expression.
If ƒ(x) = x/2 −2 and g(x) = 2x² + x−3, find (ƒ +g)(x).
A. 2x² + 3x-6
B. 2x² - +1
C. ²-6
D. 2x²+2x+1
[tex](f+g)(x)=f(x)+g(x)\\\\=\frac{x}{2}-2+2x^2 +x-3\\\\=2x^2 +\frac{3}{2}x-5[/tex]
What is the value of f(-1) when f(r) = 22 + 2?
Answer:
Step-by-step explanation:
contains a typo, namely there is no r on the right side.
Whatever, once you have fixed your post, simply replace the r with -1 then evaluate.
what is the answer to: 4y+8x=4 with solution
The surface area of a swimming pool is 395 square feet. Find the
measure of the area in square meters.
one of 55 students is selected at random. written as a fraction, what is the probability that this student passed exactly one of these subjects
The probability that s student will passed exactly one of the subject is 28/55.
How to calculate the probability?It should be noted that probability simply means the likelihood that a particular event will happen.
Based on the Venn diagram that's given, the number if students that passed both subjects is 19.
Therefore, the probability that s student will passed exactly one of the subject will be:
= Fraction of students that passed French + Those that passes German
= 11/55 + 17/55
= 28/55
The probability is 28/55.
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Simplify the expression.
the quantity negative 1 over 8 times r minus 5 minus 1 over 6 times r end quantity minus the quantity negative 6 over 8 times r plus 3 end quantity
negative 8 over 14 times r minus 2
11 over 24 times r plus negative 2
negative 4 over 14 times r minus 8
11 over 24 times r plus negative 8
The correct answer is option D which is the expression is, 11 over 24 times r plus negative 8.
In mathematics, creating equations from word descriptions is referred to as a "word problem."
For example, in the question, equations are expressed in words and then rewritten in figures, which is the preferred way to write equations.
The equation is rewritten in words and solved as below.
How to write and solve the equation
Given expression is,
[tex](\frac{-1}{8}*r-5-\frac{1}{6} *r)-(\frac{-6}{8} *r+3)[/tex]
solving the equation:
= [tex](\frac{-1}{8} *r-5-\frac{1}{6} *r)-(\frac{-6}{8} *r+3)[/tex]
= [tex](\frac{-r}{8} -5-\frac{r}{6} )-(\frac{-6r}{8} +3)[/tex]
opening the parenthesis leads to change of signs as follows
= [tex]\frac{-r}{8} -5-\frac{r}{6} +\frac{6r}{8} -3[/tex]
= [tex]\frac{-r}{8} -\frac{r}{6} +\frac{6r}{8} -5-3[/tex]
= [tex]\frac{-3r-4r}{24}+\frac{6r}{8} -8[/tex]
= [tex]\frac{-7r}{24} +\frac{6r}{8} -8\\[/tex]
= [tex]\frac{-7r+18r}{24} -8[/tex]
= [tex]\frac{11r}{24} -8[/tex]
= [tex]\frac{11}{24} *r+(-8)[/tex]
Therefore the correct answer is option D which is 11 over 24 times r plus negative 8.
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equation of the line through (3,5) and parallel to y=2x-2
Answer:
y = 2x - 1
Step-by-step explanation:
y = 2x - 2; (3, 5)
(x₁, y₁)
y - y₁ = m(x - x₁)
y - 5 = 2(x - 3)
y - 5 = 2x - 6
+5 +5
-----------------------
y = 2x - 1
I hope this helps!
Cruz purchased a large pizza for $12.75. It serves 5 people. What is the cost per serving?
Answer:
2.55 per serving
Step-by-step explanation:
all u have to do is divide 12.75 by 5
Solve the problems. The amount in Ebony's bank account B(d) is a function of the number of days d since she opened the account. The graph shows segments representing her day-by-day bank balance. Although there are no labeled tick marks on the graph, you can answer the questions by using the additional given information as well as your general knowledge of graphs of functions.
(b) Give an estimate to the nearest hundreds for B(0). explain how you determined your estimate and tell what B(0) means in the context of the situation.
Since, Domain: 0≤d≤21 and Range: 0≤B(d)≤400, B(0)=200. On Day 0, the day Ebony opened her account, she made initial deposit of $200.
What is a graph?In mathematics, and more specifically in the graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related". The objects correspond to the mathematical abstractions called vertices (also called nodes or points) and each of the related pairs of vertices is called an edge (also called link or line). Typically, a graph is depicted in the diagrammatic form as a set of dots or circles for the vertices, joined by lines or curves for the edges. Graphs are the one of the objects of study in discrete mathematics.
Edges may be directed or undirected. For example, if the vertices represent people at party, and there is an edge between two people if they shake hands, then this graph is undirected because any person A can shake hands with person B only if B also shakes hands with A. In the contrast, if an edge from a person A to a person B means that A owes money to B, then this graph is directed, because owing money is not necessarily reciprocated.
Graphs are basic subject studied by graph theory. J. J. Sylvester was the first to use the word "graph" in this context in 1878 due to the direct relation between mathematics and chemical structure (what he called a chemico-graphical image).
1) Domain: 0≤d≤21
Range: 0≤B(d)≤400
2) B(0)=200
On Day 0, the day Ebony opened her account, she made initial deposit of $200.
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Please help, will give brainliest!
Answer:
Step-by-step explanation:
Outside of Figure A