please tell me fast 3(2.6x-3)=4(-7-2.8x)
Answer:answer is x= -1
Step-by-step explanation:X=-1
Henry says that you can apply the commutative property and associative properties to 5x + 10 and get 10x + 5. Is Henry correct? Explain
Answer:
no
Step-by-step explanation:
5x would be multiplying 5 and x. So, if x=4, then 5x would be 20, and 20+10=30. But if you did 10x+5, it would be 40+5 which is 45. Therefore, the answers would not be the same.
In this exercise we have to use the knowledge of associative and commutative properties to find the same value, in this way we can say that:
Will not be possible find the same value
Recalling the properties we have that:
The associative property is a mathematical rule that states that the order in which the factors are grouped in a multiplication does not change the product.The commutative property is a mathematical rule that states that the order in which we multiply numbers does not change the product.So with this information we can demonstrate that this will not be possible, such as:
\(5X+10\\if \ x=4\\20+10=30 \ its \ not\\10*4=40+5= 45\)
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Fourteen increased by the number d is the same as 6 times the number d
Answer: d = 14/5
Step-by-step explanation:
14 + d = 6d
14 = 5d
14/5 = d
Check Work:
14 + (14/5) = 6(14/5)
16.8 = 16.8
5. You buy a boat for $35,000 that * 10 points
depreciates in value at about 17%
per year. How much will it be worth
in 3 years?
Your answer
Answer:
9000
Step-by-step explanation:
A system of equations is given.
Equation 1: 4x − 6y = 10
Equation 2: 9x + 2y = 7
Explain how to eliminate x in the system of equations.
Step-by-step explanation:
To eliminate x in the system of equations:
1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:
Equation 1: 36x -54y = 90
Equation 2: -36x - 8y = -28
2. Add the two equations together to eliminate x:
(36x - 54y) + (-36x - 8y) = 90 - 28
Simplifying, we get:
-62y = 62
3. Solve for y:
y = -1
4. Substitute y = -1 into one of the original equations, say Equation 1:
4x - 6(-1) = 10
Simplifying, we get:
4x + 6 = 10
5. Solve for x:
4x = 4
x = 1
Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.
Angles W and X are complementary. Determine the degree measure of ∠W if m∠X = 53.4°.
36.6°
63.3°
90°
126.6°
Answer:
∠W = 36.6°
Step-by-step explanation:
Hello!
If angles are complementary, it means that they add up to 90°.
Since the measure of Angle X is 53.4, we can find measure of Angle W by subtracting 53.4 from 90.
Solve for WW = 90° - XW = 90° - 53.4°W = 36.6°The value of W is 36.6°.
Please help me with this
The volume of rectangular prism is 90 unit³.
We can consider the 1 block = 1 unit.
Length of prism = 5 unit
width of prism = 6 unit
Height of prism = 3 unit
So, Volume of rectangular prism
= l w h
= 5 x 6 x 3
= 90 unit³
Thus, the volume of rectangular prism is 90 unit³.
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PLS HELP IM MARKINF BRAINLIEST FOR THE ANSWER
This is the answer:
Mass of earth: 5.97200e21 or 5.97200000000000000000000000
Mass of planes: 210000
Now, we have to divide the mass of the earth into the amount of planes.
For example, Earth/Planes.
And the answer is: 2.84380952e5. Or 2.8438095200000. I hope this helps!
Need Help!!!! A pre-image has coordinates J(3, -6) and K(-1, -2). The image has coordinates J'(6, 3) and K'(2, -1). Describe the clockwise rotational path of the line segment.
After considering the given data we conclude that the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).
We have to evaluate the center and angle of rotation to explain the clockwise rotation of the line segment.
So in the first step, we can evaluate the midpoint of the line segment JK and the midpoint of the line segment J'K'. we can calculate the vector connecting the midpoint of JK to the midpoint of J'K'. This vector is (4-1, 1-(-4) = (3,5)
The center of rotation is the point that is equidistant from the midpoints of JK and J'K'. We can evaluate this point by finding the perpendicular bisector of the line segment connecting the midpoints.
The slope of this line is the negative reciprocal of the slope of the vector we just found, which is -3/5. We can apply the midpoint formula and the point-slope formula to evaluate the equation of the perpendicular bisector:
Midpoint of JK: (1, -4)
Midpoint of J'K': (4, 1)
The slope of the vector: 3/5
(x₁ + x₂)/2, (y₁ + y₂) /2
Point-slope formula: y - y₁ = m(x - x₁)
Perpendicular bisector: y - (-4) = (- 3/5)(x - 1)
Applying simplification , we get: y = (- 3/5)x - 1.2
To evaluate the center of rotation, we need to find the intersection point of the perpendicular bisector and the line passing through the midpoints of JK and J'K'. This line has slope ( 3 - (4)) /(4 - 1) = 7/3 and passes through the point (4, 1). Applying the point-slope formula, we can evaluate its equation:
y - 1 = (7/3)( x - 4)
Apply simplification , we get: y = (7/3)x - 17/3
To evaluate the intersection point, we can solve the system of equations:
y =(- 3/5)x - 1.2 = (7/3)x - 17/3
Evaluating for x and y, we get x = -6 and y = -1.
Therefore, the center of rotation is (-6, -1).
√( 4 - 1)² + ( 1 - ( - 4))²) = 5√(2)
Distance between image points and center of rotation
√( ( 6 - (-6))² + ( 3 - (-1))² = 13
The ratio of these distances gives us the scale factor of the transformation, which is 13/√2).
The angle of rotation is negative as the image moves clockwise direction. We can apply the inverse tangent function to find the angle of the vector connecting the midpoint of JK to the midpoint of J'K':
Angle of vector: arctan(5/3) = 59.04 degrees
Therefore, the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).
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Identify a pattern in the given list of numbers. Then use this pattern to find the next number.
1, 1, 1, 2, 1, 4, 1,
The completed list of numbers would be: 1, 1, 1, 2, 1, 4, 1, 2
By examining the given list of numbers 1, 1, 1, 2, 1, 4, 1, we can observe a pattern emerging.
The pattern seems to involve alternating sequences. The first sequence is the number 1 repeated three times (1, 1, 1). The second sequence is a number that follows the pattern of increasing by 1 each time (2). The third sequence is the number 1 repeated once (1). The fourth sequence is a number that follows the pattern of doubling each time (4). This pattern of alternating sequences continues.
Based on this pattern, we can predict that the next number in the sequence will follow the alternating sequence pattern. Since the last number in the sequence is 1, the next sequence will involve a number that follows the pattern of increasing by 1. Therefore, the next number in the sequence would be:
1 + 1 = 2
Hence, based on the observed pattern, the next number in the sequence is 2.
Therefore, the completed list of numbers would be:
1, 1, 1, 2, 1, 4, 1, 2
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. The table below shows the cost of making a long distance call based on the length of the call. Long Distance Rates Time (minutes) Cost 5 $0.55 6 $0.62 7 $0.69 8 $0.76 9 $0.83 10 $0.90 Refer to the above table of long distance rates. Write an expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes.
An expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes is (0.55 + (n - 5) x 0.07) dollars.
Given:
Long Distance Rates Time (minutes) Cost5 $0.556 $0.627 $0.698 $0.769 $0.8310 $0.90We need to find an expression that can be used to find the cost of an n-minute long-distance call, where n is at least 5 minutes.
The cost of making a long-distance call is given for 5 minutes, 6 minutes, 7 minutes, 8 minutes, 9 minutes, and 10 minutes.
We can observe from the above table that for every increase of 1 minute, the cost increases by $0.07.
We can conclude that the cost of n minutes long-distance call is given by: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes.
Therefore, the required expression is: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes. The above expression is based on the pattern in the table provided for long-distance call rates. We can use this expression for values of n greater than or equal to 5.
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List all of the prime numbers
between 10-20.
Step-by-step explanation:
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A random sample of vehicle mileage expectancies has a sample mean of x¯=169,200 miles and sample standard deviation of s=19,400 miles. Use the Empirical Rule to estimate the percentage of vehicle mileage expectancies that are more than 188,600 miles.
____%
Answer: 16%
Step-by-step explanation:
Jana has $5.00. She wants to buy a notebook for $4.50. The sales tax is 7%. Does she have enough money?
Yes or No.
Answer:
Yes
Step-by-step explanation:
Multiply $4.50 by 0.07
0.315
Add 0.315 to $4.50
$4.815
Round to the nearest cent.
$4.82
The notebook cost $4.82 with tax.
So Jana has enough money.
Hope I helped :)
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10. A test consisting of 25 multiple-choice questions with 5 answer choices for each question is administered For each question; there is only | correct answer Let X be the number of correct answers if a student guesses randomly from the 5 choices for each of the 25 questions What is the probability distribution of X? This test, like many multiple-choice tests, is scored using penalty for guessing: The test score is determined by awarding point for each question answered correctly, deducting 0.25 point for each question answered incorrectly, and ignoring any question that is omitted. That is, the test score is calculated using the following formula Score = number of correct answers) (0.25 number of incorrect answers) + (0 number of omits) For example, the score for a student who answers 17 questions correctly, answers 3 questions incorrectly, and omits 5 questions is Score 17) - (0.25 * 3) + (0 x 5) = 16.25 Suppose student knows the correct answers for 18 questions, answers those 18 questions correctly, and chooses randomly from the 5 choices for each of the other 7 questions. Show that the expected value of the student'$ score is 18 when using the scoring formula above
Using the given formula, we have been able to prove that; the expected value of the students' score is 18 correct responses
How to solve binomial probability distribution problems?1) Let X denote the number of correct guesses, assuming that a student guesses randomly among the five options of all 25 questions. Then X has a binomial probability distribution with;
n = 25
p = 1/5 = 0.2
2) Let Y denote the number of correct responses on the seven questions for which the student guesses randomly from among the five options. Then Y has a binomial probability distribution with n = 7 and p = 0.20. Then the expected value of Y is;
E(Y) = np = 7(0.2) = 1.4
Using the scoring formula given, we have;
Score = (18 + Y) - 0.25(7 - Y) + 0(0)
= 16.25 + 12Y
The expected value of the students' score is;
E(16.25 + 12Y) = 16.25 + 12(1.4)
= 18 correct responses.
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Who is pretty good at it?
Which expressions describe the end behaviors of the function, f(x)= (3.25)^x+6, modeled by the graph? An exponential curve on a coordinate plane with horizontal x axis ranging from negative 10 to 10 in increments of 1. The vertical y axis ranges from negative 4 to 14 in increments of 1. The curve begins infinitely close to the line y equals 6 in the second quadrant. The curve increases through begin ordered pair 0 comma 7 end ordered pair. The curve passes through begin ordered pair 1 comma 9.25 end ordered pair and exits the first quadrant.
The expression that describe the end behavior of the expression f(x)= (3.25)^x + 6 is The curve begins infinitely close to the line y equals 6 in the second quadrant.
What is end behavior as used in math?The behavior of the graph of a function at its "ends" on the x-axis is referred to as the end behavior of a function, f.
For example, if we look at the right end of the x-axis (as x approaches + ∞) and the left end of the x-axis (as x approaches - ∞), the end behavior of a function explains the trend of the graph.
The graph of the function is attached and from the graph it shows that the graph continued to tend towards towards line y = 6
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Brand 1 Brand 2 Brand 3 Store 1 Store 2 Store 3 Laptop Comparison Chart Criteria for laptop search: Laptop specifications: • At least 3GB of memory • At least 250 GB hard drive • At least 14” Screen • Weigh at most 7 pounds • At least a 1 year manufacturer warranty • Built-in wireless router • Must be new, not used of refurbished Spending Limit: $800 • Includes laptop, sales tax, and shipping • For the purpose of this project, use 7.5% sales tax
The total amount that will be paid for the products with a sales tax of 7.5% will be $1290.
How to compute the amount from the sales tax?Your information isn't complete as the table denoting the appropriate values aren't given.
Let's assume that the price of a product A is given as $800 ane product B is $400. If the sales tax is 7.5%, the total amount that will be paid will be:
= ($800 + $400) + (7.5% × $1200)
= $1200 + $90
= $1290
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ackson is given the expression below to simplify. Which expression is equivalent to Jackson’s expression?9x−4+4x+5x+19
Ahttps://edpuzzle.com/assignments/600b1eec3f257f4235835f31/watchvhttps://edpuzzle.com/assignments/600b1eec3f257f42358idskdkeidjiwfjefwbfdbfkiwdhf
by-step explanation:
Answer:
3(6x+5)
Step-by-step explanation:
So first I opened my device
Then, I went to brainly
Next, I asked the question
Finally, i came back here to put the answer i found
*Perfect explanation*
A race car can complete 8 laps in
1
3
hour. At this rate, how many hours will it take the race car to complete 1 lap?
Answer: It take 6.66 min to complete one lap.
24 children were asked which is their favourite colour from a choice of red, blue
green or yellow. Their answers are shown below:
Blue
Red
Red
Green
Yellow
Red
Red
Red
Complete the frequency table.
Colour
Red
Blue
Red
Yellow
Red
Blue
Green
| Yellow 1111
Green
Blue
Green
Blue
Tally
Un Un
un
Analysing and Displaying Data
Yellow
Yellow
Blue
Red
Frequency
Red
Red
Blue
Yellow
The frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).
What is a conditional relative frequency?It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.
It is given that:
24 children were asked which is their favourite colour from a choice of red, blue
green or yellow
From the data given in the question.
Red : 6
Blue: 4
Green: 8
Yellow : 1 (half of 2)
Pink: 1 (half of 2)
Thus, the frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).
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Tyler's brother earns $14 per hour. The store offers him a 5% increase in wages per hour. After the raise, how much will tyler's brother make per hour?
After the raise, Tyler's brother will make $14 x 1.05 = $14.70 per hour.
Answer:
14 x 1.05 = 14.70
Step-by-step explanation:
The function f(1) = 60,000(2)
00(2) 410 gives the number
of bacteria in a population & minutes after an initial
observation. How much time, in minutes, does it
take for the number of bacteria in the population to
double?
It takes 10 minutes for the number of bacteria in the population to double.
To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.
The given function is f(t) = 60,000 * 2^(t/10).
To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:
120,000 = 60,000 * 2^(t/10).
Next, we can simplify the equation by dividing both sides by 60,000:
2 = 2^(t/10).
Since both sides of the equation have the same base (2), we can equate the exponents:
t/10 = 1.
To solve for t, we multiply both sides by 10:
t = 10.
Therefore, it takes 10 minutes for the number of bacteria in the population to double.
This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.
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A four-ounce serving of Campbell's Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates A typical slice of "lite" rye bread contains 4 grams of protein and 12 grams of carbohydrates.
(a) I am planning a meal of "beans-on-toast" and I want it to supply 20 grams of protein and 80 grams of carbohy- drates. How should I prepare my meal?
(b)If I require A grams of protein and B grams of carbohy- drates, give a formula that tells me how many slices of bread and how many servings of Pork & Beans to use.
(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.
(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.
(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:
- Servings of Campbell's Pork & Beans: 4 servings.
- Slices of "lite" rye bread: 15 slices.
By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).
Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.
(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:
- Number of slices of bread (Bread): A divided by 4.
- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).
Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.
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divding whole numbers and applications
QUESTION: What is the quotient of 55 divided by 5.
Solution:
We can divide 55 by 5 using the long division method.
Step 1. We should divide the dividend by the divisor. We take the first number 5 in 55 and divide it by 5 that is the divisor.
NOTE: Any number divided by itself is equal to 1.
Step 2. Multiply the quotient by the divisor and subtract it under the first number 5
in 55.
After doing so, bring down the next number 5, and repeat the process.
ANSWER: 11
Find the Central Angle
mXY = = 18 in
radius ZY = 7.64 in
The central angle is approximately 2.357 radians.
To find the central angle, we can use the formula:
Central angle (θ) = arc length ÷ radius
Given:
Arc length (mXY) = 18 in
Radius (ZY) = 7.64 in
Plugging in the values:
Central angle (θ) = 18 in ÷ 7.64 in
Calculating the division:
θ ≈ 2.357 radians
Therefore, the central angle is approximately 2.357 radians.
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5.3 Suppose the radius of a second solid metal ball, B₂, is half the radius of ball B₁. Suppose ball B₂ was put into the tank of water instead of ball B₁. Would the surface of the water be 4cm below the top of the tank? Explain your answer. (5)
If ball B₂ is placed in the tank instead of B₁, the surface of the water would not be 4cm below the top of the tank. It would be lower than that, indicating that ball B₂ causes a lesser rise in the water level due to its smaller volume.
No, the surface of the water would not be 4cm below the top of the tank if ball B₂ with a radius half of B₁ was placed in the tank instead.
The water level in a tank is determined by the volume of the object submerged in it, not just the radius of the object. The volume of a sphere is directly proportional to the cube of its radius.
Let's assume the radius of ball B₁ is r. Then, the radius of ball B₂ would be (1/2) * r.
The volume of ball B₁ can be calculated as V₁ = (4/3) * π * r³.
Similarly, the volume of ball B₂ can be calculated as V₂ = (4/3) * π * (1/2 * r)³ = (1/6) * (4/3) * π * r³.
The volume of water displaced by ball B₁ would be equal to V₁, which would cause the water level to rise.
However, the volume of water displaced by ball B₂ would be equal to V₂, which is only (1/6) of V₁. This means that ball B₂ would displace less water compared to B₁, resulting in a lower rise in the water level.
Therefore, if ball B₂ is placed in the tank instead of B₁, the surface of the water would not be 4cm below the top of the tank. It would be lower than that, indicating that ball B₂ causes a lesser rise in the water level due to its smaller volume.
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Select the correct answer.
Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14?
68% of the data points lie between 10 and 14.
68% of the data points lie between 8 and 12.
68% of the data points lie between 10 and 18.
68% of the data points lie between 10 and 16.
Answer:
68% of the data points lie between 10 and 18.
Step-by-step explanation:
one standard deviation to left of mean = 14 - 4 =10
one standard deviation to right of mean = 14 + 4 = 18
68% of data is in this region.
so the answer is 68% of the data points lie between 10 and 18.
ASAP PLZZZZ HW HELP
Part C
Substitute 3 for s in the expressions you found in parts a and b of this task. Do they simplify to the same
result? Why or why not?
Answer:
It is the same answer, Because b is the same as a but in fraction form, and c is the same as b but in improper fraction form, so that means they are the same answer
Step-by-step explanation:
can anybody please help me
Answer:
C
Step-by-step explanation:
Tessellations have no overlap (not A), no gaps (not B), and are periodical(not D)