To express 12X+36Y in different terms, we can use other variables or coefficients while maintaining the same relationship between X and Y. Two equivalent expressions are 4A+12B and 6C+18D.
To express the expression 12X+36Y in terms of equivalent mathematical expressions using different variables or coefficients, we can use any other variables or coefficients as long as they maintain the same relationship between X and Y. Here are two distinct expressions:
4A + 12B, where A is equivalent to X and B is equivalent to Y.6C + 18D, where C is equivalent to X/2 and D is equivalent to Y/2.For more such questions on equivalent expressions, click on:
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The probable question may be:
Express the expression 12X+36Y in terms of equivalent mathematical expressions using different variables or coefficients. Provide at least two distinct expressions that are equivalent to 12X+36Y.
Travis is buying Mushrooms at the grocery store mushrooms cost five dollars for 9 ounces how much will 13 ounces of mushroom cost to the nearest cent
For this case we make a rule of three, based on the fact that 9 ounces of mushrooms cost $ 5.
9 oz --------------> 5 $
13oz ------------> x
Where "x" represents the amount of dollars that cost 13 ounces of mushrooms.
[tex]x = \frac {13 * 5} {9} = \frac {65} {9} = 7.222222[/tex]
Rounding out, we have that 13 ounces of mushrooms cost $ 7 with 22 cents.
Answer:
$ 7 with 22 cents
Answer:
Step-by-step explanation:
9 oz cost $5 therefore you want to find the cost per oz which would be $5/9oz= 0.55555556 per oz
0.55555556 x 13oz = $7.222222 which is $7.22
19 POINTS
Solve 30/m+1=10/3m-5
Show work
30(3m-5)=10(m+1);
90m-150=10m+10;
90m-10m=150+10;
80m=140;
m=140/80=14/8=1.75
Answer:
m = 2
Step-by-step explanation:
If you're dividing 10 by 3m-5, please enclose the 3m - 5 inside parentheses to eliminate any ambiquity:
Solve 30/(m+1) = 10/(3m-5)
Here we have the LCD (m+1)(3m-5). Multiply both sides of this equation by this LCD and simplify the results:
30 10
(m+1)(3m-5)--------- = (m+1)(3m-5)----------
m+1 3m-5
After cancelling, we have:
30(3m-5) = 10(m+1),
which, when expanded, comes to:
90m - 150 = 10 m + 10
Combining like terms, we get:
80m = 160, and so m = 2.
What is the value of x?
Answer:
17 1
3
Step-by-step explanation:
= 675+ 3 x = 53
100 8 4
------------------------- × 1000
6,750+ 375x = 13,250
375x = 6,500
x = 6,500 = 260 = 52 = 17 1
375 15 3 3
Use 3.14 for pi to estimate the area of a circle the diamater is given round your answer to the nearest hundredth if nessesary (please help I don’t remember how to do this and I’d like to know how if you could help I’d appreciate it)
Answer: 221.56
Step-by-step explanation: (3.14)(r)^2
r = half diameter
What is the median of the following data set?
{6, 3, 9, 1, 7}
ANSWER ASAP
Answer: the median is 9
Step-by-step explanation:
Because we have to find but the in in the middle
Answer: 6
Step-by-step explanation: list numbers in normal order and go through to find middle
Beijing has 20.720.720, point, 7 million people and an area of 16,400\text{ km}^216,400 km 2 16, comma, 400, space, k, m, start superscript, 2, end superscript. Shanghai has 23.723.723, point, 7 million people and an area of 6300\text{ km}^26300 km 2 6300, space, k, m, start superscript, 2, end superscript. How many times as great is the population density of Shanghai as Beijing?
Answer:
The population density of Shanghai is 2.98 times greater than the population density of Beijing
Step-by-step explanation:
we know that
To find the population density, divide the total number of people by the area
step 1
Find the population density of Beijing
[tex]\frac{20,700,000}{16,400}=1,262.2\frac{people}{km^{2}}[/tex]
step 2
Find the population density of Shanghai
[tex]\frac{23,700,000}{6,300}=3,761.9\frac{people}{km^{2}}[/tex]
step 3
Divide the population density of Shanghai by the population density of Beijing
[tex]3,761.9/1,262.2=2.98[/tex]
therefore
The population density of Shanghai is 2.98 times greater than the population density of Beijing
Wendy drew a scale drawing of the auditorium. She used the scale 3 inches : 2 feet. The stage is 18 feet wide in real life. How wide is the stage in the drawing?
Answer:
12 inches
Step-by-step explanation:
[tex]18 \times (2 \div 3)[/tex]
Answer:
27 inches
Step-by-step explanation:
We can use proportions to solve this problem. Put the drawing size over the real life size
3 inches x inches
------------- = -----------
2 ft 18 ft
Using cross products to solve
3 * 18 = 2 * x
54 = 2x
Divide each side by 2
54/2 =2x/2
27 =x
The stage should be 27 inches in the drawing
what is the mean of the following data value 53,71,89,10,62
Answer: 57
Step-by-step explanation:
53+71+89+10+62=285
285/5=57
Answer: 57
Step-by-step explanation:
Order the data least to greatest: 10, 53, 62, 71, 89
then add them to get the sum of: 285
now divide that by how many numbers are in the data set so: 285/5
= 57
Select the correct answer. Which transformation will always map a parallelogram onto itself? A. a 90° rotation about its center B. a reflection across one of its diagonals C. a 180° rotation about its center D. a reflection across a line joining the midpoints of opposite sides
Answer:
C. a 180° rotation about its center
Step-by-step explanation:
The question is on rotation of an object about the origin through 180°
When a point B, (h,k) is rotated about the origin 0 through 180° both clockwise and anticlockwise directions , the new position is B'(-h,-k)
Example, if we have point K (5,8) rotated through 180°, clockwise or anti-clockwise about the origin the new position will be; K'(-5,-8)
A 180° rotation about the center of a parallelogram will always map the parallelogram back onto itself due to the shape's symmetry.
Explanation:The transformation that will always map a parallelogram onto itself is a 180° rotation about its center. This is because a 180° rotation essentially flips the shape over, but, because a parallelogram is symmetrical, it would still look the same. For example, imagine a parallelogram ABCD with point A at the top and AB as the base. If you rotate it 180°, point A was at the top and now is at the bottom, but the shape is still a parallelogram. Similarly, the other transformations may not necessarily map the shape back onto itself.
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For the following question, what is the value of x to the nearest tenth?
(1 point)
3.6
4.2
06.6
O 10.4
O 11.6
Answer:
Unit 4(circles) Lesson 2 (chords and arcs)
Step-by-step explanation:
1. The circles are congruent. Which conclusion can you draw?
answer: <AEB=<QUR
2. JG is the diameter of M. Which conclusion cannot be drawn from the diagram?
answer: KN=NI
3. For the following question, what is the value of x to the nearest tenth?
answer: 6.6
4. For the following question, what is the value of x to the nearest tenth?
answer: 11.5
5. If <AFB=<DFE what must be true
answer: AB=DE
hope this helpppss
The value of x to the nearest tenth by the Pythagoras theorem is 6.57.
It is given that
Length of the chord = 11
Distance of chord from the center of the circle = 3.6
As we know that perpendicular drawn from the center of a circle to its chord bisects the chord.
Using Pythagoras theorem
What is Pythagoras theorem?The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
[tex]x^{2} = 3.6^{2} + (11/2)^{2}[/tex]
[tex]x^{2} = 12.96 + 30.25\\\\x^{2} = 43.21\\\\x = 6.57[/tex]
Therefore, the value of x to the nearest tenth is 6.57.
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Amit is going to guess on all
2
0
2020 questions of his multiple-choice test. Each question on the test has
4
44 answer options, and only one is correct.
What is the best prediction for the number of questions that Amit will answer correctly?
Choose 1 answer:
Answer:
The best prediction for the number of questions that Amit will answer correctly is 5.
Step-by-step explanation:
Each question can be considered as an independent Bernoulli trial. This implies that we have 20 independent trials.
Now, the probability of making a correct guess on each question is;
1/4. This is because we have 4 choices per question and only 1 is correct.
If we now let the random variable X denote the number of questions that Amit will answer correctly, then X is a Binomial random variable with parameters;
20 and 1/4.
The expected number of correct answers is simply the product of these two values;
20 * (1/4) = 5
Therefore, the best prediction for the number of questions that Amit will answer correctly is 5
The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:
Step 1: 8 + 12x
Step 2: 4(2) + 4x(2)
Step 3:4(4 + 8x)
Step 4: Dimensions of the rectangle are 4 and 4 + 8x
In which step did the student first make an error and what is the correct step?
Step 2: 4(2) + 4x(2)
Step 2: 4(2) + 4(3x)
Step 3: 4 + (4 + 8x)
Step 3: 4+ (48X)
Answer:
Step 2: 4 ( 2 ) + 4 ( 3 x )
Step-by-step explanation:
The student didn't factorise 8 x + 12 properly
How would you graph the solution to x/3 ≤ -2? Draw a closed circle on -6 and shade to the right. Draw a closed circle on -6 and shade to the left. Draw an open circle on -6 and shade to the right. Draw an open circle on -6 and shade to the left.
Answer:
Draw a closed circle on -6 and shade to the left.
Describe in your own words the characteristics of linear equations that determine whether a system of linear equations will be Intersecting, Parallel, or Coincident? (2 points, 0.5 for clarity of response, 0.5 for each type of system (intersecting, parallel, and coincident)).
Step-by-step explanation:
i) An intersecting system of linear equations
A system of linear equations comprises of two or more linear equations. Linear equations are simply straight line equations with a given slope and a unique y-intercept .
Solutions to systems of linear equations can be determined using a number of techniques among them being;
Elimination method
Substitution method
Graphical method
The graphs of a system of linear equations will intersect at a unique single point if the lines are not parallel.
An example of intersecting system of linear equations;
y = 2x -5 and y =5x + 4
The two lines will intersect at a particular single point since the slopes are not identical. The attachment below demonstrates this aspect.
ii) A parallel system of linear equations
Two lines are said to be parallel if they have an identical slope but unique y-intercepts. Parallel lines never intersect at any given point since the perpendicular distance between them is always constant.
Thus a parallel system of linear equations has no solution. An example of parallel system of linear equations;
y = 3x - 4 and y = 3x + 8
The attachment below demonstrates this aspect.
iii) A coincident system of linear equations
A system of linear equations is said to be coincident if the two straight lines are identical. That is the lines have an identical slope and y-intercept. Basically, we are just looking at the same line. Two parallel lines can also intersect if they are coincident, which means they are the same line and they intersect at every point.
Therefore, this system of linear equations will have an infinite number of solutions.
on friday the farmers hens laid 25 eggs. there were 15 white eggs and 10 brown eggs. what is the probability that the first egg randomly selected will be white?
A. 1/25
B. 1/15
C. 10/25
D. 15/25
E. 10/15
Answer:
The answer is d
Step-by-step explanation:
The probability that the first egg randomly selected will be white is 15/25, the correct option is D.
What is the probability?The chance that something will happen.
On Friday the farmer's hens laid 25 eggs.
There were 15 white eggs and 10 brown eggs.
The probability that the first egg randomly selected will be white is;
[tex]\rm Probability=\dfrac{White \ egg}{White \ egg + Brown \ egg}[/tex]
Substitute all the values in the formula
[tex]\rm Probability=\dfrac{White \ egg}{White \ egg + Brown \ egg}\\\\ Probability=\dfrac{15}{15+10}\\\\ Probability=\dfrac{15}{25}[/tex]
Hence, the probability that the first egg randomly selected will be white is 15/25, the correct option is D.
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Write 3/ 8 as a percentage
Step-by-step explanation: To write 3.8 as a percent multiply 3.8 by 100 to obtain 380. Then append the percent sign (%). To learn about the spacing check out the reference section of decimal to percent.
20. A doctor measured a patient's resting pulse rate at 80 beats per minute. Draw a
graph to show the relationship between time and the number of times the patient's
heart beats.
Use it to estimate how many times the patient's heart will beat in 18 minutes. Write an
equation in Y = mx + b form.,
Answer:
1440 beats
Step-by-step explanation:
Given that a doctor measured a patient's resting pulse rate at 80 beats per minute.
i.e. if no of beats in a dependent variable on time then we have a linear relationship between y - no of beats and x - no of minutes
Here slope= rate of change of y with respect to x [tex]= m=80[/tex]
And we have y intercept as 0 since when time is 0 no heart beat. i.e. (0,0) is a point on the line
The equation would be
[tex]y=80x[/tex],x≥0
When [tex]x=18, \\y = 18(80)\\y = 1440[/tex] beats.
Graph is enclosed.
graph D Which graph represents the system 3x + 5y ≤ 9 and 2x + y ≥ 5?
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]3x+5y\leq 9[/tex] ----> inequality A
The solution of the inequality A is the shaded area below the solid line [tex]3x+5y=9[/tex]
[tex]2x+y\geq 5[/tex] -----> inequality B
The solution of the inequality B is the shaded area above the solid line [tex]2x+y=5[/tex]
Using a graphing tool
The solution of the system of inequalities is the shaded area indicated in the attached figure
which of these ordered pairs is a solution to the linear inequality y ≤ 4x - 3
Answer:
(2,5) is a solution of the inequality
Step-by-step explanation:
we have
[tex]y\leq4x-3[/tex]
The solution of the inequality is the shaded area below the solid line [tex]y=4x-3[/tex]
Remember that if a ordered pair is a solution of the linear inequality, then the ordered pair must lie on the shaded region of the inequality
Let
A(-2,5),B(2,5),C(1,5),D(1,4)
Plot each point
The point B(2,5) lie on the shaded region
therefore
(2,5) is a solution of the inequality
see the attached figure
Which is a better buy—100 sheets of binder paper at $2.50, or 150 sheets at $3.50?
Answer:
150 sheets is the better buy.
Step-by-step explanation:
Cost of each sheet when buying 100 = $2.50 / 100 = $0.0250'
If you buy 150 cost per sheet = $3.50 / 150 = $0.0233.....
So buying 150 sheets is the better buy.
Final answer:
After calculating the unit price for both options, the 150 sheets at $3.50 offer a lower unit price of approximately $0.0233 per sheet compared to $0.025 per sheet for 100 sheets at $2.50, making it the better buy.
Explanation:
To determine which is a better buy between 100 sheets of binder paper at $2.50 and 150 sheets at $3.50, we need to calculate the unit price for each option.
For the first option, 100 sheets at $2.50, the unit price would be $2.50 divided by 100 sheets, which equals $0.025 per sheet.For the second option, 150 sheets at $3.50, the unit price would be $3.50 divided by 150 sheets, which equals approximately $0.0233 per sheet.Comparing the two unit prices, the 150 sheets at $3.50 offer a lower unit price and thus represent a better value for your money.
e^ln(6x)=
A: 6ln(x)
B: 6x
C: ln(6)
D: ln(x)
Answer:
B: 6x
Step-by-step explanation:
e^ln(6x) = 6x . . . . . . . . comes from the definition of the logarithm function
___
q = ln(p) is the value that makes e^q = p. That is, e^ln(p) = p.
In this problem, p=6x.
What are the coordinates of the image of vertex G after a
reflection across the line y= x?
(4,-5)
(4,5)
(-5, 4)
(5, 4)
Answer:
(- 5, 4)
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y) → (y, x)
Hence
G(4, - 5) → G'(- 5, 4)
If the vertex G is reflected across the line y= x, the resulting coordinate will be (-5, 4)
Reflection of coordinate
Reflection creates a mirror image of each other. If the coordinate (x, y) are reflected across the line y = x, the resulting coordinate is (y, x)
Given the coordinate G(4, -5). If the vertex G is reflected across the line y= x, the resulting coordinate will be:
G(4, -5) = G'(-5, 4)
Note that the coordinate points are only interrchanged
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∠ABC measures 124° and ∠MNO measures 56°. Therefore, the two angles are
A) complementary.
B) supplementary.
C) congruent.
D) vertical.
B) supplementary are two angles that add up to 180.
124+56= 180
What is the factored form of 64g^3+8
Answer:
8(2g + 1)(4g² - 2g + 1)
Step-by-step explanation:
Given
64g³ + 8 ← factor out 8 from each term
= 8(8g³ + 1) ← 8g³ + 1 is a sum of cubes and factors as
8g³ + 1 = (2g + 1)((2g)² - 2g + 1² ) = (2g + 1)(4g² - 2g + 1)
Hence
64g³ + 8 = 8(2g + 1)(4g² - 2g + 1)
Answer:
the correct answer is D
Step-by-step explanation:
trust
Dominic is looking over his spending pattern for the past week to try to determine how much money he had on Sunday. This is Dominic’s spending pattern:
Day
Debit ($)
Credit ($)
Monday
158
---
Tuesday
69
44
Wednesday
175
---
Thursday
131
38
Friday
---
53
Saturday
22
14
If the bank charges Dominic an overdraft fee of $25 every time he overdraws his account, and Dominic overdrew his account on Thursday but not on Saturday, which of the following is a possible amount of money that Dominic could have had in his account last Sunday? Assume that the only debits and credits not listed are overdraft fees.
a.
$500
b.
$480
c.
$435
d.
$400
Please select the best answer from the choices provided
A
B
C
D
Answer:
THE ANSWER IS C.435
Step-by-step explanation:
Answer:
The correct answer would be option C, $435
Explanation:
In real financial banking transactions, Debits are basically the withdrawals and credits are deposits.
Because the problem states that there was an over withdrawal on Thursday but not on Saturday, this means that the ending balance on Thursday was a negative balance. On Saturday, the remaining balance was a positive balance. 500 and 480 as a beginning balance doesn't give a negative balance on Thursday. 400 as a beginning balance gives a negative balance on Thursday as well as Saturday.
Debit Credit Balance
Sunday 435
Monday 158 277
Tuesday 69 44 252
Wednesday 175 77
Thursday 131 38 -16
25 -41 Overdraft fee
Friday 53 12
Saturday 22 14 4
So the correct answer is option C, $435
How do u write 5(2x - 1) in a distributive property
Answer:
5(2x-1) = 5(2x) - 5(1)
Step-by-step explanation:
The distributive property states that multiplying a sum or difference of two terms by a number is equal to multiplying the same number with each term of the sum or difference separately and then adding the products.
It can be written as:
a(b+c) = ab + ac
or
a(b-c) = ab - ac
So, for the given question,
=>5(2x-1) = 5(2x) - 5(1)
Answer:
5(2x)+5(-1)
Step-by-step explanation: You need to distribute the numbers from left to right. : 5x2+5x-1
Rita's hourly wage increased from $7.50 to
$8.25. What was the percent of increase?
A. 10%
B. 75%
C. 100%
D. 107.5%
Answer:
A. 10%
Step-by-step explanation:
percent change = (new number - old number)/(old number) * 100%
The new number is the increased wage, $8.25, and the old number is the original wage, $7.50.
percent change = ($8.25 - $7.50)/($7.50) * 100%
percent change = ($0.75)/($7.50) * 100%
percent change = 0.1 * 100%
percent change = 10%
Since the percent change is a positive number, it is a percent increase.
The percent increase was 10%.
Answer: A. 10%
3. Riley records the number of
homework assignments completed
by randomly selected students in her
school on Monday in the table below.
Grade Assignments Completed
eighth 5,4,5, 4, 4, 5, 4, 5
seventh 6,5,5,5,6,6,5,6
sixth 5,3, 4, 3, 5, 4, 4,4
Make a comparative inference based
on the mean values of each data set.
Answer:
means are
8th:4.5
7th:5.5
6th:4
7th is most
Step-by-step explanation:
ill give brainliest
When a system of equations appears on a graph, what are the characteristics of a system with one solution? No solution? Infinite solutions?
Answer:
One solution graph is when the graphs of the equations intersect, then there is one solution that is true for both equations.
One solution = lines intersect
No solution graph is when the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.
No solution: lines are parallel
Infinitive solution graph is when the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.
Infinitive solutions: One line
The question is in the picture
For this case we have by definition that if two lines are parallel, then their slopes are equal.
We have the following line:
[tex]-2x + 4y = 8[/tex]
Manipulating algebraically we have:
[tex]4y = 8 + 2x[/tex]
[tex]y = \frac {2x} {4} + \frac {8} {4}\\y = \frac {1} {2} x + 2[/tex]
Thus, the slope is [tex]m = \frac {1} {2}[/tex]
Then, a parallel line will be of the form:
[tex]y = \frac {1} {2} x + b[/tex]
We find the cut point "b" replacing the point:
[tex]-1 = \frac {1} {2} (- 5) + b\\-1 = - \frac {5} {2} + b\\b = -1 + \frac {5} {2}\\b = \frac {-2 + 5} {2}\\b = \frac {3} {2}[/tex]
Finally, the line is:
[tex]y = \frac {1} {2} x + \frac {3} {2}[/tex]
ANswer:
Option A