Mathematics High School

Which of the following is equal to (2x/3 - 7) + 7

A. (2x - 7) + 21

B. 2x - 21/3

C. 3x/2

D. 2x/3

@texaschic101

Answers

Answer 1
Which of the following is equal to: (2x/3 - 7) + 7
The order of the mathematical operations is PEMDAS.
Therefor the first step you will take is to solve the operation inside the parenthesis.
(2x/3 - 7) =(2x/3 - 7)* 3/3 = 2x/3 - 21/3 = (2x - 21)/3
While adding or subtracting fractions, dont forget to check that each term have the same denominator.

Then the operation outside the parenthesis,

(2x - 21)/3 + 7 = (2x-21)/3 + 7 * 3/3 = (2x - 21)/3 + 21/3 =

(2x - 21 + 21) / 3 = 2x/3

The final answer is D. 2x/3

Answer 2
The correct answer is D. The number 7 is subtracted from the first term, 2x/3, but then an equal sum is added, and the two effectively cancel each other out. This means that the value of the first expression is essentially 2x/3, which is option D.

Related Questions

PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER

Answers

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

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]

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

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.

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 areas of two similar octagons are 112 in.² and 63 in.². What is the ratio (larger to smaller) of their perimeters?
16/3
4/9
16/9
4/3,

Answers

When the figures are similar, we have by definition:
 For the area:
 A1 = (k ^ 2) * A2
 For the perimeter
 P1 = k * P2
 Note: The factor k is the same in both cases
 Where,
 k = growth factor (k> 1) or reduction (k <1)
 Substituting values we have:
 12 = (k ^ 2) * 63
 Let's clear k:
 k = root (112/63)
 k = 4/3
 Answer: 
 The ratio (larger to smaller) of their perimeters is:
 k = 4/3
 The answer is  k = 4/3You have to consider the definition of "k"
 k = growth factor (k> 1) or reduction (k <1)

Area1= (k ^ 2) * Area2Perimeter1 = k * Perimeter2
Substitute: 12 = (k ^ 2) * 63 k = sqaure root (112/63) k = 4/3

Personal Finance is a dead group.

How does the availability of credit in a community affect the housing market there?

The availability of credit has no affect on the housing market.

The less credit available, the higher the cost of housing.

The availability of credit determines whether or not people put their homes up for sale.

The more credit available, the higher the cost of housing.,

Answers

The answer is the more credit available, the higher the cost of housing. As more people are able to afford housing, it will increase the demand for housing. Since the supply of housing is largely stable in the short-term, this will cause higher housing costs.

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.

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

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

Please help asap!!! 19 pts

Answers

the correct answer is b

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 ^_^



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.

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.

40 POINTS! + BRAINLIEST

What is the measure in radians for the central angle of a circle whose radius is 6 cm and intercept arc length is 5.4 cm?

Make sure to show all calculations.

Answers

6.5555555555555555555

Answer:

6.5

Step-by-step explanation:

1. calculate using the equation

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
......................

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.

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.

Learn more about Rearranging Equations here:

https://brainly.com/question/10945620

#SPJ3

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. 

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 :))))))))))))))))))))

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.


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

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


In Mr. Sheldon’s physical education class, each student plays at most 1 sport.
A total of 20 students play soccer or basketball.
Given that 1/3 of the students play soccer, and 8 play basketball, how many students in Mr. Sheldon’s class play neither soccer nor basketball?

I have no idea how to calculate. I will reward the right answer along with explanation of how it was figured. (I attached a pic of the multiple choices) Thanks!

Answers

20 students play soccer or basketball and 8 students play basketball, then 20-8=12 students play soccer.

Given that 1/3 of the students play soccer you can conclude that 1\3 is equal 12 student, then in class totally are 12*3=36 students.

36-20=16 students play neither soccer nor basketball

Answer: Correct choice is B.

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

A simple question I can't answer thnks yall

Answers

the factors would be (x-1)(9x+7)

so the answer would be A

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 ? 

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.




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.

https://brainly.com/question/15375591

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