where was the error made?
Answers
using distributive property:
\(-16m-16=-16_{\text{ }}step_{\text{ }}2\)add 16 to both sides:
\(\begin{gathered} -16m-16+16=-16+16 \\ -16m=0_{\text{ }}Step_{\text{ }}3 \end{gathered}\)Therefore, the errors are between steps 2 and 3
---------------------------------------------------
\(5(1+4h)+2h=27\)Use distributive property on the left hand side:
\(\begin{gathered} 5\cdot1+5\cdot4h+2h=27 \\ 5+20h+2h=27 \end{gathered}\)Add like terms:
\(\begin{gathered} 5+(20h+2h)=27 \\ 5+22h=27 \end{gathered}\)Subtract 5 from both sides:
\(\begin{gathered} 5+22h-5=27-5 \\ 22h=22 \end{gathered}\)divide both sides by 22:
\(\begin{gathered} \frac{22h}{22}=\frac{22}{22} \\ h=1 \end{gathered}\)Related Questions
Can someone do the bottom awnser pls
Answers
The fraction of PKR 1 is 50 paisas
Answers
The fraction that represents the rate between PKR and Paisas is given as follows:
1/50.
What is a fraction?A fraction is a numerical representation of the division of the two terms x and y, as follows:
Fraction = x/y.
As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:
1/50.
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g the second method the administrator is considering consists of using a computer with a random number generator to select a simple random sample of 30 students from the combined class lists student names. describe how to implement such a method. using your method and the random digits below, select the first two students. 47899 92198 80657 73914 18360
Answers
To implement the second method, the administrator should first create two separate lists, one for each class.
Then, the administrator should use a computer with a random number generator to select a simple random sample of 30 students from the combined class lists. To do this, the administrator should assign a unique number to each student in each list and generate a random set of 30 numbers that correspond to the students in the list.
For example, using the random digits 47899, 92198, 80657, 73914, and 18360, the administrator can choose student 47899 from the first class and student 92198 from the second class.
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I need help with my iready assignment
Answers
The volume of the capsule is \(3052.08 mm^3\)
What is volume of the hemisphere ?
The formula for the volume of a hemisphere is \(V = (2/3)\pi r^3\), where r is the radius of the hemisphere.
The volume of a hemisphere is half of the volume of a full sphere with the same radius. This is because a sphere can be divided into two hemispheres of equal size. Therefore, we can use this formula to find the volume of a hemisphere:
\(V = (1/2) (4/3)\pi r^3\)
Simplifying this expression, we get:
\(V = (2/3)\pi r^3\)
So, the volume of a hemisphere is \((2/3)\pi r^3\).
According to the question:
To find the volume of a capsule, we need to break it down into two parts: a cylinder and two hemispherical ends.
The formula for the volume of a cylinder is\(Vcylinder = \pi r^2h\), where r is the radius of the cylinder and h is its height.
The formula for the volume of a sphere (or hemisphere) is\(Vsphere = (4/3)\pi r^3.\)
Since the capsule is made up of two hemispheres and a cylinder, the total volume of the capsule is the sum of the volumes of these three parts:
\(Vcapsule = 2Vsphere + Vcylinder\)
First, let's calculate the volume of the cylinder. We are given that the radius is 3mm and the height is 100mm, so we have:
\(Vcylinder = \pi r^2h = 3.14 x 3^2 x 100 = 2826 mm^3\)
Next, let's calculate the volume of the hemispheres. Since the capsule has a radius of 3mm, each hemisphere has a radius of 3mm. So, we have:
\(Vsphere = (4/3)\pi r^3 = (4/3) ( 3.14) (3^3 )= 113.04 mm^3\)
Finally, we can calculate the total volume of the capsule by adding the volume of the cylinder and the two hemispheres:
\(Vcapsule = 2Vsphere + Vcylinder = 2 *113.04 + 2826 = 3052.08 mm^3\)
Therefore, the volume of the capsule is \(3052.08 mm^3\).
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Question 9 of 10 If two triangles are congruent, which of the following statements must be true? Check all that apply. A. The triangles have the same size, but not the same shape. B. The triangles have the same size and shape. C. The corresponding angles of the triangles are congruent. D. The corresponding sides of the triangles are congruent.
Answers
Answer:
ACD
Step-by-step explanation:
All statements are correct for two congruent trianglesStep-by-step explanation:If two triangles are congruent than the rules states thatTriangles are congruent when all corresponding sides and interior angles are congruent. The triangles will have the same shape and size, but one may be a mirror image of the other.As the fig shows two triangleΔ PQRΔ LMNAll three corresponding sides of triangle are congruentall three corresponding angles are congruentBoth triangle are of same sizeBoth are of same shapehence all the statements are CORRECT Keywords:Geometry
Carry is a real estate agent. She earns 8.15% commission on each sale she makes. After working with a potential buyer for 3½ months, she finally sold a house for $877,000.
a.) What did Carry earn in commissions for this sale?
$
71475.50
b.) This was her only sale for the entire 3½ month period. What was her average salary per month for this period?
Round to the nearest hundred dollars.
$
c.) For the next four months, Carry is not able to sell a house due to a faltering economy. What is her average monthly salary for the past 7½ months?
Round to the nearest hundred dollars.
Answers
The amount that Carry earn in commissions for this sale is: $71,475.5. The average salary per month for this period is $20,421.57 and the average monthly salary for the past 7½ months is:$9,530.07 per month.
CommissionA. Commission:
Commission=8.15%($877,000)
Commission=$71,475.50
b. Average salary:
Average salary=$71,475.5/3.5 months
Average salary=$20,421.57 per month
c. Average monthly salary:
Average monthly salary=$71,475.5/7.5 months
Average monthly salary=$9,530.07 per month
Therefore the amount that Carry earn in commissions for this sale is: $71,475.5. The average salary per month for this period is $20,421.57 and the average monthly salary for the past 7½ months is:$9,530.07 per month.
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what is 2x + 5 = 13 help plz
Answers
Answer: 2x + 5 = 13
2x = 13 - 5
2x = 8 (divide both sides by 2 to get x)
2x/2 = 8/2
x = 4
Step-by-step explanation:
i got u
2x + 5 = 13
2x = 13 - 5
2x = 8 (divide both sides by 2 to get x)
2x/2 = 8/2
x = 4
2x=13-5
subtract the number
2x=8
Divide the numbers
x=4
What is the solution set of the equation X squared + 3x-4=6?
Answers
Answer:
x = 2 or x = -5
Step-by-step explanation:
x² + 3x - 4 = 6
x² + 3x -4 - 6 = 0
x² + 3x - 10 = 0 (Here you find two numbers that have a sum of 3 and a product of -10. These two numbers would be 5 and -2. 5 - 2=3 and 5×-2 =-10.)
x² + 5x - 2x -10 = 0 (They you replace 3x by 5x and -2x)
(x² + 5x) (-2x -10) =0 - (You find common terms)
x(x + 5) -2(x + 5) = 0
(x - 2) (x + 5) = 0
So
x - 2 = 0 or x + 5 = 0
x =2 x = -5
Answer:x=2
Step-by-step explanation:
x^2+3x-4=6
2x+3x-4=6
add 2x and 3x and you get 5x
5x-4=6
add 4 to both sides 6 plus 4 is 10
5x=10
know divide 5 from both sides and you get 2
x=2
Which equation is not a polynomial.
A.-sqrt(2)
B.-3x^2+xy-2y^2
C.x^/y +3xy -2y^2/x
D.sqrt(2a^2)-4xy-2x^2y^2
E.5x^-2 +x^-1 y-2
Answers
Explanation:
there are no degrees, etc
Let a = 3 – 5i and b = –1 + 7i. Which of the following are true statements? Check all that apply.
ab = 38 + 16i
ab = 32 + 26i
StartFraction a Over b EndFraction = negative StartFraction 19 minus 8 I Over 25 EndFraction
ab = 2 + 2i
StartFraction a Over b EndFraction = StartFraction 21 + 5 i Over 7 EndFraction
StartFraction a Over b EndFraction = negative StartFraction 19 + 8 I Over 25 EndFraction
Answers
Answer: 2nd and 6th options are correct
Step-by-step explanation: It showed me after I got em wrong
Answer:
2 and 6 are the right answers
Step-by-step explanation:
Duane begins paying a $5,000
student loan with an annual interest rate of 6.5%
compounded monthly. He schedules monthly payments of $118.57
for 4
years.
The following table shows the first payment in the amortization schedule.
Payment
Number Loan
Amount Payment Interest Principal Remaining
Balance
1
$5,000.00
$118.57
?
What amount of Duane's first payment goes to interest?
Responses
Answers
The amount of Duane's first payment that goes to interest is approximately $26.47.
To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.
The formula to calculate the interest portion of a loan payment is:
Interest = Remaining Balance * Monthly Interest Rate.
Let's calculate the interest for the first payment using the given information:
Loan Amount = $5,000.00
Monthly Payment = $118.57
First, we need to calculate the monthly interest rate:
Monthly Interest Rate = Annual Interest Rate / 12
= 6.5% / 12
= 0.00542
Next, we need to calculate the remaining balance after the first payment:
Remaining Balance = Loan Amount - Principal Paid
= $5,000.00 - $118.57
= $4,881.43
Finally, we can calculate the interest portion of the first payment:
Interest = Remaining Balance * Monthly Interest Rate
= $4,881.43 * 0.00542
= $26.47
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What are the coordinates of A'?
Answers
Answer:
(6,-2)
Step-by-step explanation:
The picture as shown, A would be flipped across the line which leaves it landing on (6,-2)
Hope this helped you :)
The Deepwater Horizon Oil Disaster that occurred in 2010, leaked an average of 2
barrels of oil per minute. If every 1 barrel = 31.5 gallons and it leaked for 87 days.
How many gallons of oil leaked into the Gulf of Mexico? (i.e. gallons per 87 days)
Answers
Part B
Select check boxes in each row to identify the fertilizing method that would best work for each example.
A farm that has delicate
crops and has many
employees
UDP
Precision
management
A gardener growing
vegetables for a family
A company that grows corn
and distributes to 10 states
Answers
The checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.
The fertilizing techniques that would be most effective for each example are as follows:
1. Farm with numerous workers and sensitive crops:
a. UDP (Unchecked )
b. Precision management (Checked)
2. A gardener raising produce for a family:
a. UDP (Checked).
b. Precision management (Unchecked )
3. Company that delivers corn to 10 states:
a. UDP (Unchecked)
b. Precision management (Checked)
Please note that the checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.
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Cristina keeps track of how many items are sold each week so she can figure
out how much she needs to bake for the next week. Pretzel rolls are her best-
selling bread. Here are the weekly sales of pretzel rolls in March.
Week
Number of Pretzel Rolls Sold
March 1-7
287
March 8-14 304
March 15-21271
March 22-28 316
Rounding to the nearest 10, what is the best estimate of the number of
pretzel rolls sold in March? Enter your answer in the box.
Answers
The estimate of the number of pretzel rolls sold in March will be 890.
How to illustrate the information?The following can be deduced based on the information that given:
March 8-14. 304
March 15-21 271
March 22-28. 316
Therefore, it should be noted that 304 to the nearest ten is 300.
271 to the nearest ten will be 270
316 to the nearest ten will be 320
Therefore, the total number sold in March will be:
= 300 + 270 + 320
= 890
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What would be the coordinates of the image if this pre-image is reflected across the x-axis?
A(-2, 2), (1, 1), (3, 1), (2, 4)
B(2,-2), (-1, 1), (-3,-1). (-2,-4)
C(-2, 2), (1, -1), (3, 1). (2,4)
D(-2,-2), (-1, 1), (-3, -1) (-2,-4)
Answers
Answer: C (-2, 2), (1, -1), (3, 1). (2,4)
It will help to rotate the image so the x-axis is horizintal and the y-axis is vertical.
Step-by-step explanation:
Imagine the prefigure twirling on a parallel bar like a gymnast.
When it's up-side down the point that was at (1,1) flips to (1. -1) and the point that was at (3 -1) flips to (3, 1)
As you chech your choices, that knocks out most of the other possibilities.
But you should still verify the other cocorinates.
Hint: if the reflection is across the x-axis, the x values will be the same in the pre-image and the reflection, the y- values will change accorfing to their distance from the x-axis.
Please help and thank you
Answers
Daniella: Were you thinking of perpendicular lines?
Ori: It seems like you've got the basic idea, but your definition could be more precise.
Kaori: Yes! Well done. Here, have a cookie. You've earned it.
Look at the picture below?
Answers
Answer:
well, okay. its basically what you wrote. assuming there was missing information.
let's dive right into it.
we'll assume that the problem asks for integers, whole numbers.
if x would be 0,
we would get 9 numbers out, 0, -1, -2, -3, -4, -5, -6, -7 and -8
if x would one, the range would be from 7 to -8, giving us 16 numbers
if x would be 2, the range would be from 14 to -8, giving us 23 numbers (7 more each time we increasex by one)
so the answer isn't a fixed value, but a function.
7x+9
the plus nine is true when x=0 and is still relevant for every other scenario
0.0001859 in scientific notation
Answers
Answer:
1.859 x 10^-4
Step-by-step explanation:
To the -4 power means to move the decimal place to the right 4 spaces.
which value of x makes the equation 2+4(6-2x)
Answers
Answer:
8=8 so it is true
Step-by-step explanation:
what s 1 times 1 is it 2?
Answers
Answer:
1 x 1 = 1
Step-by-step explanation:
Anything that is multiplied by 1, is going to stay the same
Example would be 1 x 5
that would equal 5
Hope this helped<3
Answer:
it is one, no matter what
Step-by-step explanation: if u take on and make it bigger (multiply it) one time, u still only get one!!
Brainliest please!! Have a great day!!
Which statement is true?
Answers
Answer:
\( (\sqrt[m]{ {x}^{a} } ) ^{b } = \sqrt[m]{ {x}^{ab} } \)
A car is traveling at a rate of 108 kilometers per hour. What is the cars rate in meters per second? How many meters will the car travel in 20 seconds?
Answers
Answer:
\(\frac{30meters}{second}\)
600meters
Step-by-step explanation:
Use conversion factors that represent 1. You can cross cancel wods just like numbers.
\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)
\(\frac{108000meters}{3600seconds}\)
\(\frac{30meters}{second}\)
\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)
600 meters
Helping in the name of Jesus.
The tables represent the points earned in each game for a season by two football teams.
Panthers
14 10 10
10 17 3
28 13 17
32 16 10
14 7 21
Cowboys
10 3 8
6 24 12
21 3 10
28 28 7
7 13 3
Which team had the best overall record for the season? Determine the best measure of center to compare and explain your answer.
Panthers; they have a larger median value of 14 points
Cowboys; they have a larger median value of 10 points
Panthers; they have a larger mean value of about 14.8 points
Cowboys; they have a larger mean value of about 12.2 points
Answers
Answer:
Therefore, the Panthers had a better overall record for the season, with a total of 212 points earned compared to the Cowboys' total of 173 points.
Step-by-step explanation:
To compare the measures of center, we can calculate the mean and median points earned by each team:
Panthers: Mean = 212/15 = 14.13 points, Median = 14 points
Cowboys: Mean = 173/15 = 11.53 points, Median = 10 points
Based on these calculations, we can see that the Panthers have a larger mean value of about 14.13 points compared to the Cowboys' mean value of about 11.53 points. However, the median value for both teams is less useful for comparison since they are only one point apart. Therefore, we can conclude that the Panthers had the better overall record for the season based on both the total points earned and their larger mean value.
So, the answer is Panthers; they have a larger mean value of about 14.8 points (Option C is incorrect as the mean value of Panthers is approximately 14.13 and not 14.8).
I dont get this question equation
y=0.5 (6) - 4
I know that 0.5 is equivalent to 1/2 but I just don’t get this question
Answers
To solve the equation, you first need to simplify 0.5(6) to get 3, since 0.5 is equivalent to 1/2 and multiplying 6 by 1/2 gives you 3. So the equation becomes:
y = 3 - 4
Next, you need to subtract 4 from 3 to get -1. So the solution to the equation is:
y = -1
Therefore, when the value of the independent variable is 6, the value of the dependent variable is -1.
Answer
\(\pink\sf{y=-1}\)
Step-by-step explanation
I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).
We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:
\(\sf{y=3-4}\)
And now we just simplify the last part:
\(\sf{y=-1}\)
∴ answer: y = -1
On a test that has a normal distribution, a score of 45 falls two standard deviations above the mean, and a score of 30 falls three standard deviations below the mean. Determine the mean of this test.
Answers
The value of the mean is a 33.75 in the normal distribution.
According to the statement
We have to find that the students' favorite color was red.
So, For this purpose, we know that the
A mean is simply defined as the average of the given set of numbers.
From the given information:
On a test that has a normal distribution, a score of 45 falls two standard deviations above the mean, and a score of 30 falls three standard deviations below the mean.
Then
The interval for score = 45- 30= 15
If we divide it by the 4 standard deviations; the interval result into
= 15/4
= 3.75
Then, the standard deviation is 3.75, and
The mean = 30+ 3.75
The mean = 33.75
So, The value of the mean is a 33.75 in the normal distribution.
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I want to fence in a square vegetable patch. The fencing for the east and west sides cost $7 per foot, and the fencing for the north and south sides cost $4 per foot. Find the total cost (I'm dollars) of the fencing as a function of the length (in feet) of a side x.
Answers
The total cost of the fencing is a function of the length of a side x (feet) is 10x + 14y.
How to find the perimeter?The perimeter is made by adding the south, north, east, and west side.
Given that
The cost of fencing for the east and west sides is $7 per foot, and the cost of fencing for the north and south sides is only $5 per foot.
We have to find total cost of the fencing is a function of the length of a side x (feet).
The east and west fencing cost is $7/ft but the south and north fencing cost is $5/ft.
x = north and south fencing
y = the east and west sides, then you can get this equation.
Total cost= (south +north) × 5 + (east+ west) × 7
Total cost =(x + x) × 5 + (y+ y) × 7
Total cost = 5(2x) + 7(2y)
Total cost = 10x + 14y
Hence, the total cost of the fencing is a function of the length of a side x (feet) is 10x + 14y.
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The cost of making camping reservations in a campground is represented in the table.
2
5
10
Number of Nights (x)
Cost in Dollars (V)
40.00 77.50 140.00
Based on the information in the table, which equation describes the relationship between the number of nights reserved and the cost?
O A y = 20x
O B. y = 37.5x
O c. y = 7.5x + 35
OD. y = 12.5x + 15
The
Answers
Using the formula to find the slope given two points:
M= 140-40/10-2= 12.5
we can eliminate the other 3 choices without even finding the Y intercept.
the endpoints of $\overline{ab}$ are $a\left(2,\ 5\right)$ and $b\left(-4,\ 7\right)$ . find the coordinates of the midpoint.
Answers
The endpoints of AB are (2, 5) and (-4, 7). So the coordinates of the midpoint are (-1, 6).
Determine the coordinates of the midpointThese are the specified parameters:
AB are (2, 5) and (-4, 7)
Here,
x₁ = 2 and y₁ = 5
x₂ = -4 and y₂ = 7
The coordinates of the midpoint
= ((x₁ + x₂)/2 , (y₁ + y₂)/2)
= ((2 + (-4))/2 , (5 + 7)/2)
= (-2/2 , 12/2)
= (-1, 6)
So the coordinates of the midpoint of segment AB are (-1, 6).
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triangle abc is equal to triangle pqr, angle p=8x+4, angle a=5x+16 , and angle q=10x+2. find angle r
a. 36
b.not enough info
c. 42
d. 102
Answers
Answer: b.not enough info
Step-by-step explanation:
Corresponding angles of congruent triangles are congruent, so \(\angle A =\angle P\)
However, we don't have all 3 interior angles of either triangle, so we cannot conclude anything.