John received $112.5 and Joan received $157.5 respectively as per the given ratio.
John and Joan share the amount in the ratio: 5:7
it is given that Joan had $45 more amount than John, therefore
Let the amount with John be x, so the amount with Joan will be x + 45
Formulating the equation we get:
Amount with John/Amount with Joan = Ratio of money with John/Ratio of money with Joan
x/(x + 45) = 5/7
7x = 5x + 225
2x = 225
x = 112.5
Amount with John = 112.5
Amount with Joan = 157.5
So, amount John received $112.5 and Joan received $157.5 respectively.
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Just the answer please
Answer:
One can use either the slope formula m = (y2 – y1)/(x2 – x1) or the standard line equation, y = mx + b to solve for the slope, m.
Step-by-step explanation:
Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
gragh the linear equation. find three points to solve the equation ,then plot on the gragh . -3x+2y=2
The attached below is the graph and the three points to solve the equation is (0,1) , (1,5/2) and (-1,-1/2)
According to the question the equation that we have been given is
-3x + 2y = 2
We need to graph the linear equation. For this we will first put different values of x in the above equation and then find the values of y which will be the coordinates of the graph.
First put x = 0
-3(0) + 2y = 2
2y = 2
y = 1
hence the first coordinate is (0,1)
Similarly put, x = 1
-3(1) + 2y = 2
2y = 5
y = 5/2
when x= -1 then y = -1/2
Thus the three point or coordinates are (0,1) , (1,5/2) and (-1,-1/2) and below is the graph.
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what's the differences between indirect and direct object? and can i get an example plss
Answer:
Step-by-step explanation:
A direct object is the object in which the verb is acting on. For example, in the sentence “He sold his car,” “car” is a direct object. An indirect object is the recipient of the direct object, as in “The man gave his wife a necklace.” “Necklace” is the direct object, and “wife” is the indirect object
Choose the inequality whose solution set is represented by this graph.
The correct option is option A , such that inequality is x - 3y < 5.
What are the inequalities ?
Inequalities are the expressions in which both sides are not equal and the equal sign in between is replaced by less than , greater than, etc.
We know that the slope intercept form of equation is given by y = mx + c , where m is the slope and c is the y - intercept.
In the graph , the upward sloping line has x and y intercepts of 5 and -3.
So its equation in slope intercept form is given by ,
- 3y = - x + 5
And the inequality with that boundary line is given by ,
- 3y < - x + 5
or
x - 3y < 5
Therefore , the inequality represented by graph is x - 3y < 5 or option A is correct.
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company A rents copiers for a monthly charge of $90 plus 6 cents per copy. Company B rents copiers for a monthly charge of $180 plus 3 cents per copy. What’s the number of copies above which company As charges are the higher of the two ?
By using athematic operations, we get the cost of the company A's 3000 copies is greater than that of the other two.
What are arithmetic operations?
The arithmetic operator is used to carry out mathematical operations on the specified operands, including addition, subtraction, multiplication, division, and modulus. A few examples of arithmetic operators are as follows: 5 + 3 = 8, 5 - 3 = 2, 2 * 4 = 8, etc.
Given that:
Copier rentals from company A cost $90 per month + 6 cents every copy and
Copier rentals from company A cost $180 per month + 3 cents every copy
Let the number of copies be x
Total rents for a month of Company A [tex]= 90+0.06x[/tex]
Total copiers rents for a month of Company B [tex]= 180+0.03x[/tex]
Total rents for a month of Company A = Total copiers rents for a month of Company B
⇒[tex]90+0.06x= 180+0.03x[/tex]
Taking unknown value left side
[tex]0.06x-0.03x=180-90\\0.03x=90\\x=\frac{90}{0.03} \\x=3000[/tex]
Therefore, by using athematic operations , we get the cost of the company A's 3000 copies is greater than that of the other two.
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Mariam read 4 books in 5 months. What was her rate of reading, in books per month? Give your answer as a whole number or a FRACTION in simplest form.
Answer:
¼ per month or 2 books in 2½ months
Mariam read 4 books in 5 months, resulting in a rate of reading of 4/5 books per month.
Use the concept of fraction defined as:
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
Given that,
Mariam read 4 books
She read the books in 5 months
We need to find her rate of reading, in books per month
To find the rate of reading,
Divide the number of books read by the number of months it took to read them.
In this case, Mariam read 4 books in 5 months.
So, the rate of reading would be 4 books divided by 5 months.
Simplifying this fraction, we have 4/5,
Hence, Mariam's rate of reading is 4/5 books per month.
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please help me i need to get this
Hello,
[tex]6x + 2 = x + 17[/tex]
[tex]6x - x = 17 - 2[/tex]
[tex]5x = 15[/tex]
[tex]x = \frac{15}{5} = 3[/tex]
Identify the graph of f(x)=7-8x-x². Then identify the vertex and axis of symmetry.
WILL GIVE BRAINLIEST IF YOU EXPLAIN JOS TO SOLVE
Answer:
(see attached file)
vertex: (-4, 23)
axis of symmetry: x = -4
Step-by-step explanation:
The axis of symmetry always passes through the vertex of the parabola. The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.
(i'm not the best at explaining things, but khan academy has some amazing math resources if you want to check it out)
a starting lineup in a basketball consists of two guards, two forwards, and a center. a. a certain college team has on its roster 4 centers, 5 guards, 5 forwards, and one individual (x) who can play either guard or forward. how many different starting lineups can be created? (hint: consider lineups without x, then lineups with x as guard, then lineups with x as foward.)
Different starting lineups can be created - 120+60+120=300. A certain college team has on its roster 4 centers, 5 guards, 5 forwards, and one individual (x) who can play either guard or forward.
1. A lineup without x is an example. You must decide.
5 quards, 2 guards;two of the three forwards;from 4 centers, 1 center.It can be made as -
2C5 × 2C3× 1C4 = 10× 3×4 = 120 ways
2. Consider starting lineups with guard x. You must decide.
2 guards chosen from 6 quards (at least one of them must be x);two of the three forwards;from 4 centers, 1 center.1C5×2C3×1C4 = 5×3×4 = 60 ways
3. Think about lineups where x is the forward. You must decide.
5 quards, 2 guards;2 forwards from 4 forwards (x must be one of them);from 4 centers, 1 center.2C5×1C3×1C4 = 10×3×4 = 120 ways.
Therefore, total number different lineups is - 120+60+120=300.
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PLEASE HELP !!!!
Using the segment addition postulate, find the value of x.
JK = 3x - 4
KL = 5x + 6
JL = 9x - 8
A. 4
b. 10
c. 18
d. 2
==============================================
Work Shown:
JK + KL = JL
(3x-4) + (5x+6) = 9x-8
(3x+5x) + (-4+6) = 9x-8
8x+2 = 9x-8
8x-9x = -8-2
-x = -10
x = 10
---------------------------------------
Check:
JK = 3x - 4 = 3(10)-4 = 26KL = 5x + 6 = 5(10) + 6 = 56JL = 9x - 8 = 9(10) - 8 = 82JK + KL = 26 + 56 = 82 = JL
Therefore, the answer is confirmed.
Aisha buys a new car.
Cash price: $4500
Credit terms:
Deposit 25% of cash price + 12 monthly payments of $320
She buys the car using the credit terms. How much more than the cash price will she pay overall for the car?
465 is the cost of the cash price will she pay overall for the car.
What is cost ?
The entire cost of all fixed and variable expenses for a particular stage in the value chain is the total cost of a business function. In other words, it is the overall cost incurred during the various stages a product goes through to reach the consumer.Your cost function might resemble this, for example, if your variable costs for labor are fixed regardless of quantity while your variable costs for supplies vary depending on the amount of each item. Total costs are calculated as fixed costs plus labor costs plus (unit count * material variable costs).25 % of cash price 4500 × 25% = 1125
12 monthly 320 × 12 = 3840
All 1125 + 3840 = 4965
more than 4965 - 4500 = 465
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Evaluate the given expression for x = 10.
8x+7
A Paralelogram PQRS is rotated 90°
clockwise about the origin to create
paralelogram P'QRS:. Perform the
transformation then give the algebraic
representation.
Q
When we rotate a Parallelogram PQRS of 90 degrees clockwise about the origin, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure.
P(x₁, y₁) ⇒ P'(y₁ , -x₁ )
Q(x₂, y₂) ⇒ Q'(y₂ , -x₂ )
R(x₃, y₃) ⇒ R'(y₃ , -x₃ )
S(x₄, y₄) ⇒ S'(y₄ , -x₄ )
The Greek word "parallelogrammon," which means "bounded by parallel lines," is the source of the English word "parallelogram." Thus, a quadrilateral with parallel lines as its borders is referred to as a parallelogram. The opposing sides of this form are parallel and equal. Each of the three primary varieties of parallelograms—square, rectangle, and rhombus—has distinct characteristics.
A unique variety of quadrilateral made up of parallel lines is called a parallelogram. A parallelogram can have any angle between its neighboring sides, but it must have opposing sides that are parallel for it to be a parallelogram. If the opposing sides of a quadrilateral are parallel and congruent, it will be a parallelogram. Consequently, a quadrilateral in which both sets of opposite sides are parallel and equal is referred to as a parallelogram.
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A toy car was kicked toward the target. the horizontal component of velocity was 8 m/s and the vertical component was 6m/s. calculate the magnitude of the resultant velocity of the soccer ball.
The magnitude of the resultant velocity of the soccer ball is 10 m/s .
Let the horizontal component of velocity be [tex]V_{x}[/tex] and the vertical component of velocity be [tex]V_{y}[/tex].
The magnitude of the resultant velocity will be represented by V.
So, we can write
The horizontal component of velocity = [tex]V_{x}[/tex] = 8 m/s
The vertical component of velocity = [tex]V_{y}[/tex] = 6 m/s
The relation between horizontal component, vertical component and resultant velocity is,
[tex]V^{2} = V_{x} ^{2} + V_{y} ^{2}[/tex]
On substituting value of horizontal component and vertical component, we get
[tex]V^{2}[/tex] = [tex](8)^{2} + (6)^{2}[/tex]
[tex]V^{2}[/tex] = 64 + 36
[tex]V^{2}[/tex] = 100
V = [tex]\sqrt{100}[/tex]
V = 10 m/s
The magnitude of the resultant velocity of the soccer ball is 10 m/s .
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A baseball player hits a triple and ends up on third base. each side of length 25.740650945432 m, with home plate and the three bases on the four corners. what is the magnitude of his displacement?
The magnitude of his displacement is 77.221952836296 m
In this question,
A baseball player hits a triple and ends up on third base.
A baseball "diamond" is a square, each side of length 25.740650945432 m, with home plate and the three bases on the four corners.
We need find the the magnitude of his displacement.
The magnitude of his displacement is the distance from home plate to the third base.
the distance from home plate to the third base is
= 3 × 25.740650945432
= 77.221952836296 m
Therefore, the magnitude of his displacement is 77.221952836296 m
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what is the image of the point (4,-8) rotated 90 degrees counterclockwise
Answer:
(8,4)
Step-by-step explanation:
The rule is (x,y) becomes (-y,x)
Can someone explain how to do proofs?
Answer:
Draw the figure that illustrates what is to be proved. ...
List the given statements, and then list the conclusion to be proved. ...
Mark the figure according to what you can deduce about it from the information given. ...
Write the steps down carefully, without skipping even the simplest one.
Step-by-step explanation:
(Please help)-5 - (-5/3)
Answer:
25/3
Step-by-step explanation:
Which axis is triangle ABC reflected across?
Answer:
it reflects over the y axis
Step-by-step explanation:
why does it keep talking it down if its right
I NEED HELP ASAP PLSS
Step-by-step explanation:
2)4(5x+6)
3)a)its 4x not 16x because 2x+ 6x is 8x and 8x-4x=4x
b)2x+6x-4x=15+12-3
4x=24
x=24/4=6
that's all I can answer
__________ is the principle that the statistical analysis of plaintext and ciphertext results in a form of dispersion rendering one structurally independent of the other.
Diffusion is the principle that the statistical analysis of plaintext and ciphertext results in a form of dispersion rendering one structurally independent of the other.
In a simple language, whenever there is a change in one character of the plaintext there is a multiple changes in the ciphertext. The changes do not reveal the information as the structure of plaintext.
What is ciphertext?
Whenever the encrypted text changes from plaintext to encrypted algorithm then it is known as the ciphertext. It cannot be read until it is decrypted with the help of the key. And the decryption cipher algorithm changes ciphertext to plaintext text to make it readable.
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If -x + 5y = 7 is a true equation, what would be the value of -2(-x + 5y)?
Answer:
-14
Step-by-step explanation:
If u put x+5y into -2(-x+5y)
Add all that up
-2(x+5y) =(-2) (7) = -14
I need help with this question.
The distance between the two points in the simplest radical form is √61
Distance between two pointsFrom the question, we are to determine the distance between the two marked points
The marked points are (-8, 6) and (-3, 0)
The distance, d, between two points can be calculated by using the formula,
d = √((x₂ - x₁)² + (y₂ - y₁)²)
x₁ = -8
x₂ = -3
y₁ = 6
y₂ = 0
Thus,
The distance, d, between the points is
d = √((-3 - -8)² + (0 - 6)²)
d = √((-3 + 8)² + ( -6)²)
d = √((5)² + 36)
d = √(25 + 36)
d = √61
Hence, the distance between the two points in the simplest radical form is √61
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5x - 2x + x = 15 [x=3.75]
Answer:
many solutions
Step-by-step explanation:
15=15
Can someone explain this please.
Using proportions, the solution for the golden section is given as follows:
|AC|/|AB| = 1.6181.
What is a proportion?A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.
Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.
For this problem, the segment lengths are given as follows:
|AC| = 1.|AB| = x.|BC| = 1 - x.The following proportion is true for the segment:
|AC|/|AB| = |AB|/|BC|
Hence:
1/x = x/1 - x.
x² = 1 - x
x² + x - 1 = 0.
Which is a quadratic equation with solution x = 0.618.
Then the solution for the golden section is given as follows:
|AC|/|AB| = 1/x = 1/0.618 = 1.6181.
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Answer:
(1 +√5)/2 ≈ 1.618034
Step-by-step explanation:
Given point B on segment AC, you want the "golden proportion" ratio AC/AB, such that AC/AB = AB/BC. A diagram is shown with A=0, B=x, C=1.
RedefineWe can solve for the golden proportion directly by redefining points on the line segment as ...
A = 0B = 1C = rThen we have AB = 1, AC = r, BC = r-1 and the proportion of interest is ...
AC/AB = AB/BC
r/1 = 1/(r -1)
SolutionCross-multiplying gives ...
r² -r = 1
Completing the square, we have ...
r² -r + 1/4 = 5/4
(r -1/2)² = 5/4
Taking the square root gives ...
r - 1/2 = 1/2√5
r = 1/2 + 1/2√5 = (1 +√5)/2 ≈ 1.618034
The golden ratio is (1+√5)/2 ≈ 1.618034.
__
Additional comment
This ratio appears many places in math, science, and nature. It is commonly given the name Φ or φ (phi). For example, it is the limiting value of the ratio of successive terms of the Fibonacci sequence, and is deeply embedded in the quantum description of the universe.
a politician is interested in the proportion of voters in his district who think he is doing a good job. define the following in terms of the study. give examples where appropriate.
The percentages of voters for politicians districts are determined by parameters including district work, leadership, teamwork, etc.
Who are politicians, exactly?A politician is a person who participates in party politics by voting or holding elective office in the government. Legislation is proposed, supported, rejected, and created by politicians to rule the nation and, by implication, its citizens. Politics is the process by which those who live in groups decide on things. Politics is the process of establishing agreements between individuals so that they may coexist in social units like tribes, cities, or nations. Some individuals may invest a significant amount of effort in reaching such agreements in huge groupings, such as nations. A formal set of fundamental objectives that are backed by a political party or individual candidate in order to appeal to the general public is known as a political party platform (US English), party program, or party manifesto (preferential term in British and frequently Commonwealth English). The ultimate goal of these documents is to win the support and votes of the general public on complex issues or topics.
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write the answer in the simplest form 2/3 x 4/7
Answer:
the answer is 8/21
Step-by-step explanation:
to be sure that it's right 21 can't be divided by 8 and the two numbers don't have an LCD ( Least Common Denominator )
200,40,8 arithmetric or geometric or neither
Answer:
this is geometric, you are multiplying by 1/5.
Step-by-step explanation:
Use a related equation that has the variable on one side. Then simplify the other
side.
12n = 48
n = 60
n=36
n=4
n=1/4
Answer:
n=4
Step-by-step explanation:
12n/12 = 48/12 the n=4
n = 60
n=36
n=4
n=1/4
Approximately what is the circumference of the pizza? (Use pi = 3.14)
Inner to outer is 24 cm
I’m not sure but I think it’s 8 in.; 50.27 in.