Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality 7.2b + 6.5 > 4.8b – 8.1. Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1. Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1. Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6. Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b. Which student’s first step was incorrect, and why? Amelia’s, because the variable term must be isolated on the left side Luis’s, because he flipped the inequality sign when he subtracted Shauna’s, because she did not apply the subtraction property of equality properly Clarence’s, because the terms he added together were not like terms

Answers

Answer 1
Luis is the one that performed an incorrect first step. When you add or subtract from either side, this does not affect the inequality symbol.

What will affect the symbol is when you divide or multiply by a negative because this means the opposite.
Answer 2

Answer:

B

Luis’s, because he flipped the inequality sign when he subtracted

Step-by-step explanation:

got it right on Edge

please mark as Brainliest

(P.S. Luis is my first name)


Related Questions

Compare the numbers in the following sequence and try to determine what the next number should be.
6, 9, 18, 21, 42, 45, ?

Now When i did the math I thought it might be 54 but I'm not sure can someone help me or tell me if I'm right!

Answers

If you examine the numbers in the question above very well, you will discover that thy have a distinctive pattern. The pattern is this, you add 3 to the first number and then you multiply the next by 2. Lets go over the numbers now:
6 + 3 = 9
9 * 2 = 18
18 + 3 = 21
21 * 2 = 42
42 + 3 = 45
45 * 2 = 90
90 + 3 = 93
93 * 2 = 186, etc.
Thus, the next number after 45 is 90. 

Combine and simplify these radicals. square root of 8 times square root of 20

Answers

sqrt(8) = sqrt(2 * 2 * 2) = 2 sqrt(2)
sqrt(20) = sqrt(2 * 2 * 5) = 2 sqrt(5)
Now multiply
2*sqrt(2) * 2 sqrt(5) 
= 2 * 2 * sqrt(2) * sqrt(5)
= 4 sqrt(10)

Answer:

√8 * √20 = 4√10

Step-by-step explanation:

√8 * √20= √(4*2) * √(4*5)

√8 * √20 = (√4)(√2)*(√4)(√5)

√8 * √20 = (2)(√2)*(2)(√5)

√8 *√20 = (2*2)(√2*√5)

√8 * √20 = (4)(√(2*5)

√8 * √20 = 4√10

How do I solve this problem?

Answers

In every case, the Pythagorean theorem applies.

The square of the hypotenuse is equal to the sum of the squares of the other two sides. You may need to do some addition or subtraction and root-taking to find the value of interest.

4. 6^2 = 4^2 +x^2
.. x = √(36 -16) = 2√5

Please help simple math problem

Answers

The answer is supplementary angles, hopefully that helps.
The answer to your question is (C) VERTICAL ANGLES

When 2 lines intersect, they make vertical angles.
Vertical angles are congruent (equal).
Vertical angles are opposite one another.Supplementary angles add up to 180º = 40 degrees + 140 degrees = 180 degrees. Adjacent and Supplementary Angles = 120 + 60 = 180 degreesAdjacent angles are “side by side” and share a common ray. 130 degrees and 50 degrees.Complementary angles add up to 90º. = 60 degrees + 30 degrees = 90 degrees.




Match each problem (term) with its sum or difference (definition).

Term Definition

4.23 + 16.21 A) 26.09

42.3 + 1.621 B) 2.609

4.23 − 1.621 C) 20.44

42.3 − 16.21 D) 43.921

GET THIS RIGHT ILL GIVE U BRAINLIEST!!!!!!!

Answers

Each mathematical term has been calculated and the correct sum or difference matched with its definition: 4.23 + 16.21 matches with C) 20.44, 42.3 + 1.621 with D) 43.921, 4.23 - 1.621 with B) 2.609, and 42.3 - 16.21 with A) 26.09.

To match each mathematical term with its correct sum or difference, we simply perform the addition or subtraction:

4.23 − 1.621 = 2.609, so this term matches with definition B)

Each problem has been matched with its corresponding definition based on the results of the arithmetic operations.

Which expression gives the area of the triangle shown below?

Answers

The answer is d. The reason this is the answer is because to find the area of a triangle you will find half of the base times the height. The formula looks like this: A=1/2bh.

On this picture the base is the length of the bottom part of the triangle (c). It is the distance of the solid line only.

The height is represented as the straight line that is perpendicular to the base (forms a right/90 degree angle). X is the height of the triangle.

Therefore, 1/2cx is the answer.

The expression gives the area of the triangle shown below  1/2cx is the answer.

The reason this is the answer is because to find the area of a triangle you will find half of the base times the height.

What is the formula of the triangle?

The formula of a triangle

A=1/2bh.

In this picture, the base is the length of the bottom part of the triangle (c).

It is the distance of the solid line only.

The height is represented as the straight line that is perpendicular to the base (forms a right/90-degree angle).

X is the height of the triangle.

Therefore, 1/2cx is the answer.

So option D is correct.

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Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at
90

miles per hour. The eastbound train travels at
80

miles per hour. How long will it take for the two trains to be
272

miles apart?
Do not do any rounding.

Answers

miles per hour. How long will it take for the two trains to be 
272
train1 = 90 miles per hour
 train 2 = 80 miles per hour

90 + 80 = 170

272 / 170 = 1.6 hours =  1 hour 36 minutes

Carl puts 1.10 in his penny bank every day in the month of July. His total savings was 55at the end of June. What’s the best estimate for Carl’s savings at the end of July

Answers

Just take 55 and add 1.10 times the amount of days in july

Answer:

About 85 is the answer

URGENT!!!! You must create a 6-character password using the letters A-Z and the numbers 0-9. Characters may be repeated. How many possible passwords are there?

Answers

2,176,782,336 
hope this helps

Please help asap!!! 19 pts

Answers

the correct answer is b

Bianca has 3:5 The ratio of the number of books Bianca has to the number books Chrissy has 10:11 If amy has 36 books how many books does Bianca have

Answers

Did you get your answer yet ? 

Which of the following expression expressions is equivalent to cos3x/sinxcosx?

A.) cscxcos2x-secxsin2x
B.) secxcos2x-cscxsin2x
C.) secxcosx-cscxsinx
D.) cscxcosx-secxsinx

Answers

Answer:

A.) cscxcos2x-secxsin2x

Step-by-step explanation:

I'm sorry I really do not know how to solve this but I just did the quiz and b was not correct.

Final answer:

To find an expression equivalent to cos3x/sinxcosx, we use trigonometric identities and simplification to arrive at cscx - secx. Option D, cscx cosx - secx sinx, when expanded and simplified, is equivalent to cscx - secx, thus it is the correct answer.

Explanation:

The question asks us to find an expression equivalent to cos3x/sinxcosx. To start, let's simplify the given expression using trigonometric identities.

We can write cos3x as cos(2x+x), which by using the angle addition formula for cosine gives us cos(2x+x) = cos2x cosx - sin2x sinx. Now our expression looks like this: (cos2x cosx - sin2x sinx) / (sinx cosx).

The next step is to split the numerator to have two separate fractions: cos2x/sinx - sin2x/cosx. We can then recognize that cos2x/sinx is equivalent to 1/sinx or cscx, and -sin2x/cosx is equivalent to -1/cosx or -secx. Therefore, the equivalent expression is cscx - secx.

Comparing this result to the options given, option D, cscx cosx - secx sinx, expands to 1/sinx × 1 - 1/cosx × sinx, which can be simplified to cscx - secx. Thus, option D is the correct answer.

BRAINLIESTTTTT ASAP!!!

Write x^2 − 2x − 3 = 0 in the form (x − a)^2 = b, where a and b are integers.

(x − 4)^2 = 3
(x − 3)^2 = 2
(x − 2)^2 = 1
(x − 1)^2 = 4

Answers

When the quadratic expression is x^2 +ax + ..., the binomial square will be
.. (x +(a/2)^2

You have a=-2, so the binomial square will be of the form (x -1)^2. You don't even need to work out the rest of it to know that ...
.. the 4th selection is appropriate.

PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER

Answers

A(n) = 50 x (0.52)n-1; 13.52 cm

prove this trigonometric equation;

- tan^2x + sec^2x = 1,

Answers

Hey there :)

- tan²x + sec²x = 1    or    1 + tan²x = sec²x

sin²x + cos²x = 1 
Divide the whole by cos²x

[tex] \frac{sin^2x}{cos^2x} + \frac{cos^2x}{cos^2x} = \frac{1}{cos^2x} [/tex]

[tex] \frac{sinx}{cosx} = tanx[/tex] so [tex] \frac{sin^2x}{cos^2x} = tan^2x[/tex]
and
[tex] \frac{1}{cosx} = secx [/tex] so [tex] \frac{1}{cos^2x} = sec^2x[/tex]

Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}

1 = - tan²x = sec²x or sec²x - tanx = 1

Explain why increasing the sample size tends to result in a smaller sampling error when a sample mean is used to estimate a population mean.

A. The above statement is incorrect, the sample size has no effect on the sampling error.
B. The larger the sample size, the more closely the possible values of \bar{x} cluster around the mean of \bar{x}
C. If the sample size is larger, the possible values of \bar{x} are farther from the mean of \bar{x},

Answers

B is the correct answer. The more values or samples you are able to add, the closer you come to approximating real life (although that is impossible) because you are more likely to have a cluster of values around the mean.

Sampling error is inversely proportional to the sample size which means if the sample size increases the sampling error decreases. Then option B is correct.

What is sampling error?

The amount of inaccuracy in the estimating value appears due to the smaller sample size.

The sample size tends to result in a smaller sampling error when a sample mean is used to estimate a population mean.

We know that the formula of the sampling error

[tex]\rm Sampling \ error = z \times \dfrac{\sigma}{\sqrt{n}}[/tex]

Sampling error is inversely proportional to the sample size which means if the sample size increases the sampling error decreases.

More about the sampling error link is given below.

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PLEASE HELP ME ON THIS

BRAINLIEST AVAILABLE IF YOU ANSWER CORRECTLY

Answers

To know if the change is exponential, we only need to calculate the ratio between rent of each year with the preceding year.
The ratios are, for Beverly:
1.0171.0321.0541.058
for Lowell
1.051.051.051.05
So obviously Beverly is not exponential and Lowell is.


A(-5,-4) ——> A’ is a glide reflection where the translation is (x,y)—->(x+6,y), and the line of reflection is y=3. What are the coordinates of A’?
A. (1,-4)
B. (-5,2)
C. (1,10)
D. (11,2)

Answers

Solution:

The Point in the coordinate plane is A(-5,-4).

Perpendicular or shortest Distance from line y=3 that is (-5,3) to point (-5,-4) is

[tex]=\sqrt{(-5+5)^2+(3+4)^2}\\\\=7[/tex]

When it is reflected through the line, y=3, the coordinate of point A (-5,-4) changes to (-5,3+7)= B(-5,10).

Now, the Point B is translated by the rule , (x,y)—->(x+6,y),

So,the point B is translated to, (-5+6,10)=(1,10)

Option C: (1,10) is the glide reflection of point A(-5,-4).

The coordinates of A' after the glide reflection (translation and reflection over y = 3) from A(-5, -4) are (1, -4), so the answer is A.

In a glide reflection, first apply a translation and then a reflection. Let's follow the given transformations step by step:

Translation: (x, y) → (x + 6, y)

This means you move the point A(-5, -4) six units to the right and keep the same y-coordinate. Applying the translation:

A' = (-5 + 6, -4)

    = (1, -4)

Reflection over the line y = 3:

In this reflection, points above the line will move below it and vice versa, while points on the line will remain unchanged.

Since the original point A(-5, -4) is below the line y = 3, its reflection A' will be above the line.

Therefore, the coordinates of A' are (1, -4) ,the correct option is A. (1, -4).

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Which property justifies the following statement? If x=2,and y=3x-11, then y=3•2-11

Answers

Property of substation justifies that statement, as you replaced x with 2
substitution :))))))))))))))))))))

In triangle abc, ac=10, bc=8, angle b =90 degrees and angle bda = 90. how long is line bd

Answers

the complete question in the attached figure

we know that
applying the Pythagorean theorem in triangle ABC
AC²=AB²+BC²----------> AB²=AC²-BC²---------> 10²-8²-------> AB²=36-----> AB=6

in the triangle ABC
tan a=BC/AB--------> 8/6--------> tan a=4/3
tan c=AB/BC--------> 6/8--------> tan c=3/4

in the triangle ABD
tan a=BD/AD---------> tan a=BD/x-------> BD=x*tan a
BD=x*(4/3)-----------> equation 1

in the triangle BDC
tan c=BD/DC------------------> BD=(10-x)*tan c------> BD=(10-x)*(3/4)
BD=(10-x)*(3/4)-------------> equation 2

equal 1 and 2
x*(4/3)=(10-x)*(3/4)------> 16x=9*(10-x)--------> 16x=90-9x----> 25x=90
x=90/25-----------> x=3.6
BD=x*(4/3)--------> BD=3.6*(4/3)---------->  BD=4.8 units

the answer is BD=4.8 units


Pls help.
Solve (6x^3-1x^2+1)/(2 x+1)
a. -3x^2+2x-1
b. 3x^2-2x+1
c. -3x^2+2x-1
d. 3x^2+2x-1,

Answers

Start by looking at the leading terms. The divisor's 2x goes into the dividend 6x^3 a 3x^2 number of times. Multiply this by the divisor and you get 6x^3+3x^2. Subtract from the dividend and get -4x^2. 2x goes into this -2x times. Multiply by the divisor and get -4x^2 - 2x. Subtract and get 2x. Bring down the 1 term yielding 2x+1. 2x+1 goes into 2x+1 only 1 time. Thus the quotient is 3x^2-2x+1 which is option b.

make w the subject of the formula y-aw=2w-1

Answers

Answer: w = [ y + 1] / [a + 2]

Solution step by step:

1) given formula: y-aw=2w-1

2) transpose aw and - 1

2w + aw = y + 1

3) common factor w:

w (a + 2) = y + 1

4) divide both sides by (a + 2):

w = [ y + 1] / [a + 2]

Final answer:

To make w the subject of the formula y-aw=2w-1, rearrange the equation as follows: add aw to both sides, factor out w on the right side, add 1 to both sides, and then divide by (a+2). The final equation is w=(y+1)/(a+2).

Explanation:

The question is asking to rearrange the given formula y-aw=2w-1 to solve for the variable w. We can follow these steps:

Add aw to both sides of the equation to eliminate it on the left side. This gives us y=aw+2w-1. Factor out w from the right side. This gives us y=w(a+2)-1. Add 1 to both sides of the equation to eliminate it on the right side. This gives us y+1=w(a+2). Divide both sides of the equation by (a+2) to isolate w. This gives us w=(y+1)/(a+2).

Therefore, in the formula y-aw=2w-1, w=(y+1)/(a+2) when solved for w.

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Create an equation to model an investment of 5000 dollars which increases 15% each year. Set up an equation to solve for how long it would take for the investment to double. ( you do not need to solve this problem)

Answers

Initial amount = 5000
Interest rate = 1.15
The amount increases exponentially.
Then we get the following equation
[tex]5000 \times 1.15 {}^{t} [/tex]
In this formula t represents time.

The equation of doubling time
[tex]5000 \times 1.15 {}^{t} = 10000[/tex]
[tex]1.15 {}^{t} = 2[/tex]

What is the quotient of 78.3 ÷ 3.48?

Answers

The answer is 22.5. I hope this helps you.

Good luck with your work! 

This circle graph shows the results of a survey that asked people to identify their favorite type of music.

What percent of people chose rock or country as their favorite type of music?


9%

35%

45%

55%
A circle graph with 5 sections. The first section is labeled Rock 27 percent. The second section is labeled Hip Hop 28 percent. The third section is labeled Jazz 19 percent. The fourth section is labeled Country 18 percent. The fifth section is labeled Other 14 percent.

Answers

The answer is 45%.

Country or rock would be found by adding the two percentages:
18+27 = 45.

(Side note:  the percentages on this circle graph add up to 106%....)

Answer: C) 45


Hope Thsi Helps ^_^


The length of a rectangle is represented by the function L(x) = 6x. The width of that same rectangle is represented by the function W(x) = 4x2 − 3x + 8. Which of the following shows the area of the rectangle in terms of x?

Answers

Length of the rectangle, L(x) = 6x
Width of the rectangle, W(x) = 4x² - 3x + 8

Area of a rectangle = Length * Width
Therefore, Area od the rectangle = 6x (4x² - 3x + 8)

= (4x² · 6x) - (3x · 6x) + (8 · 6x)

= 24x³ - 18x² + 48x
We know that the area of a rectangle can be computed by multiplying the length times the width. 

P = L X W

Now taking into account the given, we can say that:
[tex](L.W)(x) = (6x)(4 x^{2} - 3x + 8)[/tex]

Now let's simplify the expression by doing the operation and you will have this as your result:
[tex](L.W)(x) = 24x^{3} - 18x^{2} + 48x[/tex]

The sum of three consecutive odd integers is − 105 . find the numbers.

Answers

the equation would be
x+(x+2)+(x+2+2)=105
3x+2+2+2=105
3x+6=105
3x=99
x=33
so the answers would be 33, 35 and 37

What is the least common Multiple of 9 and 10? Use prime factorization to solve.

Answers

the least common multiple is 1
The LCM is 90
......................

The top of a rectangular table has an area of 100 square feet and width of 5 feet. What is the length in feet of the surface

Answers

The answer to this is 20. You can find the length by using the formula l=a/w

The length of the surface of the rectangular table that has an area of 100 sq. ft is: 20 ft.

What is the Area of a Rectangle?

Area of rectangle = (length)(width).

The table given has a rectangular surface.

Area of the rectangular table = 100 square feetWidth of the rectangular table = 5 feet

(length)(5) = 100

Length = 100/5

Length of the rectangular table = 20 feet.

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Dyann takes a bus to work every day. On Monday the trip took 34 minutes. On Tuesday the trip took 36 minutes. On Wednesday the trip took 35 minutes. On Thursday the trip took 34 minutes. Dyann determines that the trip to work on Friday will take about 35 minutes.

Does her conclusion use inductive, or deductive reasoning?

Answers

Answer:

inductive reasoning

In this question, the conclusion is that the trip to work on Friday will take about 3535 minutes. This conclusion is based on observation of specific examples instead of scientific research.

Therefore, the type of reasoning used is inductive reasoning.

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