Answer:
Please check the explanation.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get the equation
y ∝ x
y = kx
k = y/x
Here k is called the constant of proportionality.
Taking an example:
For example, let suppose x and y are directly proportional with x = 4 and y = 10.
We can calculate the constant of proportionality using the formula
k = y/x
substitute x = 4, y = 10 in the equation
k = 10/4
k = 2.5
And at x = 5 and y = 12.5
k = y/x
substitute x = 5, y = 12.5 in the equation
k = 12.5/5
k = 2.5
Therefore, we conclude that a constant of proportionality k = 2.5.
Tools -
Question 6
Two parallel lines are cut by a transversal, as shown below.
x + 40
3x
What is the solution when solved for x, and why?
Answer: (D) x=20
I know this because i took the test and got the answer right....amen
Evaluate the following expression. -24/-3 - (-2)
Answer:
=10
Step-by-step explanation:
Dimitri scored 44% of the points in two person basketball game against another team. His partner scored the rest of the points . If dimitri scored 22 points how many points did his partner score
Dimitri and his partner scored a total of points during the game so his part scored points
Answer:
28
Step-by-step explanation:
44/100×x=22
x=50
x=total goals scored
50-22=28
Dimitri and his partner scored a total of points will be are 50. So, his part scored points will be 28.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
Dimitri scored 44% of the places in a two-man b-ball game against another group. His accomplice scored the other focuses. On the off chance that Dimitri scored 22 focuses the number of focuses that did his accomplice score.
Let 'x' be the total scored. Then the equation is given as,
44% of x = 22
0.44x = 22
x = 50
The points scored by his partner will be given as,
⇒ 50 - 22
⇒ 28
Dimitri and his accomplice scored a sum of focuses will be 50. In this way, his part scored focus will be 28.
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The length of a rectangle is eight more than twice its width. The perimeter is 96 feet. Find the dimensions of the rectangle
Answer:
The width of the rectangle is 14'8", and the length is 33'4"
Step-by-step explanation:
We're given two pieces of information:
The length is eight more than twice the width:
[tex]l = 2w + 4[/tex]
The perimeter is 96 feet:
[tex]p = 96[/tex]
We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:
[tex]p = 2l + 2w[/tex]
We can solve for w by plugging the other two values into the last:
[tex]p = 2w + 2l\\96 = 2w + 2(2w + 4)\\96 = 2w + 4w + 8\\88 = 6w\\3w = 44\\w = \frac{44}{3}\\w = 14\frac{2}{3}[/tex]
Now we can find the length by plugging w into the first equation:
[tex]l = 2w + 4\\l = 2(14\frac{2}{3}) + 4\\l = 29\frac{1}{3} + 4\\l = 33\frac{1}{3}[/tex]
One third of a foot is four inches, so the width is 14'8" and the length is 33'4"
To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:
[tex]p = 2l + 2w\\p = 2(33\frac{1}{3}) + 2(14\frac{2}{3})\\p = 66\frac{2}{3} + 29\frac{1}{3}\\p = 96[/tex]
So we know our answer's correct
The y-intercept of the equation x + 2y = 18 is 9.
True
False
If I'm correct, it's true.
find the total surface area of a right cylinder whose base is 8 inches and whose altitude is 12 inches. round to the nearest square inch
Answer:56cm
Step-by-step explanation:
write down properties of Square, Rectangle and Triangle with diagram.
Answer:
The answer is below
Step-by-step explanation:
Some of the Properties of a Triangle:
1. All interior angles combined is 180°
2. It has three sides, three angles, and three vertices
3. The combined length of any of the two sides is higher than the third sides
Some of the Properties of a Square
1. It has four sides and they are all equal
2. Each of its angles is at 90°
3. Its diagonals are equal
4. The diagonals bisect at 90°
Some of the Properties of a Rectangle
1. It has opposing sides that are parallel and equal to each other
2. Each of the interior angles is at 90°
3. The length of the diagonals is equal
4. It is quadrilateral
Max invests some money in a savings bond.
The savings bond pays interest at a rate of 2% per year.
At the end of the first year, his savings bond is worth £5763
(b) How much money did Max invest in the savings bond?
Answer:
£5650
Step-by-step explanation:
The money max invested in the saving bond = x
After one year the intrest will be 2% of x
Amount = £5763
Amount = Principcal + Interest
= £5763 = x + 2% multiplied x
£5763 = x + 2x/100
= 50x/50 + x/50 = 5763
= 51x/50 = £5763
51x = 5763x50
51x = 288, 150
x = 288,150/51
x = 5650
So the money max invested = £5650
Pls help I need help!!!! Please
show me the steps to complete the steps to solve for x 4/5x - 1//4x = 11
Answer:
The value of x = 20
Step-by-step explanation:
Given the expression
[tex]\frac{4}{5}x\:-\:\frac{1}{4}x\:=\:11[/tex]
The L.C.M of 5,4: 20
Multiply by LCM = 20
[tex]\frac{4}{5}x\cdot \:20-\frac{1}{4}x\cdot \:20=11\cdot \:20[/tex]
Simplify
[tex]16x-5x=220[/tex]
[tex]11x=220[/tex]
Divide both sides by 11
[tex]\frac{11x}{11}=\frac{220}{11}[/tex]
[tex]x=20[/tex]
Therefore, the value of x = 20
7.
Which of the following describes the parabola with the equation y = x2 + 2x + 1?
A.The axis of symmetry is x = 1 and the vertex is (1,4).
s
B.The axis of symmetry is x = 1 and the vertex is (1, 2).
rabolas
C.The axis of symmetry is x = 0 and the vertex is (0, 1).
as
D.The axis of symmetry is x = -1 and the vertex is (-1,0).
arabolas
The axis of symmetry is x = -1 and the vertex is (-1,0). Therefore, option D is the correct answer.
What is quadratic equation of graph?A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.
The given quadratic equation is y=x²+2x+1.
From the graph axis of symmetry is x=-1
Rewrite in vertex form and use this form to find the vertex (h,k).
(-1, 0)
Therefore, option D is the correct answer.
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An electric clock takes 8 seconds to sound 3 times at 3:00. How long would it take to sound 6 times at 6:00?
Answer:
16 seconds
Step-by-step explanation:
You basically have to do all numbers times 2
The required time the electric clock would take to sound 6 times is 16 seconds at 6:00.
What is proportionality?proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
Here,
It takes 8 seconds for an electric clock to sound 3 times, so it takes,
= 8 / 3 = 2.67 seconds to sound once.
Therefore, the time it would take
= 2.67 × 6
= 16 seconds
Thus, the required time the electric clock would take to sound 6 times is 16 seconds at 6:00.
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Find the number that makes the ratio equivalent to 1:3.
4:_____
12 or 13 or 9 or 11
Elena biked 8 miles on saturday. On saturday, she biked 75% of her distance, how far was that?
Answer:
6 miles
Step-by-step explanation:
75% = [tex]\frac{3}{4}[/tex], so that means she biked 8·[tex]\frac{3}{4}[/tex] which is 24/4 = 6
Answer:
6 miles
Step-by-step explanation:
75/ 100 x 8= 3/4 x 8=6 miles
Which one of these is NOT a step used when constructing an inscribed hexagon using technology? (5 points)
Connect the point with a line through the center of the circle.
Mark the points of intersection between the two circles.
Create another circle with the same radius as the original.
Create a circle using the center with given point tool.
Answer:
the answer is A, connect the point with a line through the center of the circle
Step-by-step explanation:
Create another circle with the same radius as the original. Technology doesn't require this step. Lines, intersections, and circles with the centre and provided point are the steps.
When building an inscribed hexagon with technology, this step is skipped: Make a circle with the same radius as the first.
The following steps are used to build an inscribed hexagon: Create a circle using the centre with a point tool to illustrate the circumscribed circle.
Connect the point with a line through the circle's centre to create its diameter.
Mark the intersections of the two circles (the hexagon's vertices).
Form the inscribed hexagon by connecting the marked spots.
The typical method for building an inscribed hexagon does not involve making a circle with the same radius.
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To calculate occurrence (i.e., scored interval) interobserver agreement, divide the:_______
Answer: Number of intervals in which no occurrence was reported for both observers by the number of intervals in which no occurrence was recorded by at least one observer (x 100)
Step-by-step explanation:
To calculate occurrence, the formula to be used is The Number of intervals in which at both observers recorded no occurrence, divided by the number of intervals in which at least one observer recorded no occurrence (x 100).
This would give us the accurate answer for occurrence.
I need help with my math please help ASAP.
Answer:
1 =30 km
1/3=7,5 km
5=150
Im not sure tho but should be fine
Answer:
1 =30 km 1/3=7,5 km5=150
Step-by-step explanation:
Which of the following represents a relation that is not a function?
A.
x -7 -5 -7 1
y 33 31 39 33
B.
x 8 -5 13 -7
y 33 31 39 33
C.
x -7 -5 -1 1
y 33 31 39 33
D.
x -7 -5 8 13
y 33 31 39 33
Answer:
C.
x -7 -5 -1 1
y 33 31 39 33
Step-by-step explanation:
think so
PLEASE HELP PLEASE!!!!
Energy is the ability to do work or cause a change in something.
Group of answer choices
True
False
Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
It’s the definition of energy
Use algebra to solve the following question
7x + 3 = -11
Answer:
x = -2
Step-by-step explanation:
7x + 3 = -11
-3 -3 subtract both sides by 3
7x = - 14
7x/7 = - 14/7 divide both sides by 7
-14/7 = -2
A Lexus can drive 15 miles per gallon of gas. How many
gallons of gas would the car need to go 225 miles?
HELPPP
Answer:
15 gallons
Step-by-step explanation:
225 divided by 15 is 15
Sasha is in Chicago, where a thermometer outside reads –7 °F. Anna is in New York, where a thermometer outside reads –4 °F. Which temperature is coldest and why?
Answer:
-7 is colder, so Sasha has the coldest temperature.
Step-by-step explanation:
Simple as it is, -7 is 7 degrees below 0 which means its far more negative than -4. On a number line -7 would be the farthest dot from 0 on the left which you'd want to choose.
DUE AT 11:59 I NEED HELP NOW
Answer:
7 months
Step-by-step explanation:
I graphed it
25 x 130 is the same as
Answer:
ANY OF THESE
Step-by-step explanation:
1 x 3250 = 3250
2 x 1625 = 3250
5 x 650 = 3250
10 x 325 = 3250
13 x 250 = 3250
25 x 130 = 3250
26 x 125 = 3250
50 x 65 = 3250
65 x 50 = 3250
125 x 26 = 3250
130 x 25 = 3250
250 x 13 = 3250
325 x 10 = 3250
650 x 5 = 3250
1625 x 2 = 3250
3250 x 1 = 3250
The multiplication exercise involving 25 x 130 is the same as; 3250.
According to the question;
we are required to determine an equivalent of 25 x 130.By step by step evaluation,
25 × 130 = 25 (100 + 30)= 2500 + 750= 3,250Upon multiplication of 25 by 130; the result yields 3250.
Consequently, we can say 25 x 130 is the same as; 3250
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A group of 55 football players was polled about which synthetic grass they like to play on, Chemgrass or Chemstrand. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table. A circle labeled chemstrand 15 overlaps a circle labeled chemgrass 17. Overlap is labeled 13. 4-column table with 3 rows. First column has no label with entries likes chemgrass, does not like chemgass, total. Second column is likes chemstrand with entries x, z, 28. Third column is does not like chemstrand with entries y, 10, 27. Fourth column is total with entries 30, 25, 55. What are the values of x, y, and z? x = 17, y = 15, and z = 13 x = 13, y = 15, and z = 17 x = 15, y = 13, and z = 17 x = 13, y = 17, and z = 15
Answer:
From the Venn diagram: 15 players like Chemstrand, 17 players like Chemgrass, 13 players like both Chemstrand and Chemgrass while 10 players like neither Chemstrand nor Chemgrass.
The missing values in the frequency table are x - representing the number of players that like both Chemstrand and Chemgrass, y - representing the number of players that like Chemgrass but do not like Chemstrand and z - representing the number of players likes Chemstrand but do not like Chemgrass.
The number of players that like both Chemstrand and Chemgrass is 13. The number of players that like Chemgrass but do not like Chemstrand is 17. The number of players likes Chemstrand but do not like Chemgrass is 15.
Therefore, x = 13, y = 17 and z = 15
The values of x, y, and z from the Venn diagram are:
x = 13, y = 15, and z = 17.
What is a Venn diagram?A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.
We have,
From the Venn diagram, we can see that:
The total number of players who like Chemgrass is 17 + 13 = 30.
The total number of players who like Chemstrand is 13 + 15 = 28.
The total number of players who do not like Chemgrass is 10 + 13 = 23.
The total number of players who do not like Chemstrand is 10 + 17 = 27.
The total number of players is 55.
Now,
We can fill in the missing values in the frequency table using the information above:
The value of x (the number of players who like both Chemgrass and Chemstrand) is the overlap between the two circles, which is 13.
The value of y (the number of players who like Chemstrand but not Chemgrass) is the number of players who like Chemstrand (28) minus the number of players who like both (13), which is 15.
The value of z (the number of players who like Chemgrass but not Chemstrand) is the number of players who like Chemgrass (30) minus the number of players who like both (13), which is 17.
Therefore,
The values of x, y, and z are x = 13, y = 15, and z = 17.
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PLEASE PLEASE HELP
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 185 grams of a radioactive isotope, how much will be left after 6 half-lives?
Use the calculator provided and round your answer to the nearest gram.
Answer:
Approximately 3 grams left.
Step-by-step explanation:
We will utilize the standard form of an exponential function, given by:
[tex]f(t)=a(r)^t[/tex]
In the case of half-life, our rate r will be 1/2. This is because 1/2 or 50% will be left after t half-lives.
Our initial amount a is 185 grams.
So, by substitution, we have:
[tex]\displaystyle f(t)=185\big(\frac{1}{2}\big)^t[/tex]
Where f(t) denotes the amount of grams left after t half-lives.
We want to find the amount left after 6 half-lives. Therefore, t = 6. Then using our function, we acquire:
[tex]\displaystyle f(6)=185\big(\frac{1}{2}\big)^6[/tex]
Evaluate:
[tex]\displaystyle f(6)=185\big(\frac{1}{64}\big)\approx2.89\approx 3[/tex]
So, after six half-lives, there will be approximately 3 grams left.
Choose the category of transformation related to the following statement:
Answer:
rigid
Step-by-step explanation:
Can some one help me with this PLZ
Answer:
Option 3
Step-by-step explanation:
First, you want at least 3 items for each guest. There are 35 guests, so the total amount of items, represented by x+y, must be >= 35*3=105
Next, you cannot spend more than $150, so the total price, represented by 1.3x+1.2y, must be <= 150
Option 3 fulfills both
Anybody know the Explicit definition?
Answer:
of??
what word- you posted nothing
You can use this rule to work out the total charge for hiring a cement mixer.
Total charge:£30+£7 every hour of hire
On Monday, Sally hired a cement mixer for 4 hours.
(a) Work out Sally’s total charge.