Lin solved the equation incorrectly. Find the errors in her solution.

Answers

Answer 1

x = 3/4 is the correct solution of the given expression.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,

The expression Lin tried to solve
8(x-3)+7=2x(4-17)

Simplifying the expression,
8x - 24 = 2x(-13)
8x - 24 = -26x
8x+26x = 24
32x = 24
x = 24/32
x = 3/4

Thus, x = 3/4 is the correct solution of the given expression.

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Related Questions

Help
A car travels at a constant rate from point M to point N. It takes 22 minutes to travel that distance.



Which equation represents y, the distance in miles that the car travels in x minutes?

Answers

I believe it is y=0.9x

Seat belt use in WA state (pop: 7.5 million) is reported to be 95% compared to 85% in Mississippi (pop 3 million). A random sample of 1,000 residents is taken from each state. Since we are sampling a higher proportion of the population of Mississippi, the % of seatbelt users in the Mississippi sample will likely be closer to the population proportion. Be sure to state true or false clearly first. Then explain which sample (WA or MI) is more likely to be closer to its population proportion and why?

Answers

Answer:

True

Step-by-step explanation:

By sampling a larger proportion of Mississippi's population, the percentage of people who wear seatbelts in Mississippi surveys would be closer and nearer to the population proportion.

The rule of large numbers states that if we collect samples of increasing size from every population (here, Mississippi vs. Washington WA state), the sampling distribution's mean, px, continues to get closer and nearer to the actual true population proportion (p).

Recall that as n becomes greater, the sample mean obeys a normal distribution because of the Central Limit Theorem. However, as (n) rises, the sampling distribution's standard deviation reduces.

where:

sampling proportion's standard deviation = [tex]\sqrt{\dfrac{p((1-p)}{n}}[/tex]

If n rises, the sample proportion [tex]P_x[/tex] have to get nearer to the population proportion P.

For both counties, the sample size is 1000, but the true population varies. According to the provided statement, the true population of Mississippi (3 million) is less than that of Washington State (7.5 Million). As a result, we can confidently assume that our sampling proportion in Mississippi seems to be much closer to the true actual population than our sampling proportion in Washington state.

How do you write the sum in the simplest form 5/12 + 9/12=


14/12

7/12

14/24

7/6

Answers

14/12 because if u go on calculator and do 5 divided by 12 + 9 divided by 12 u get 1.166667 or something and then u do 14/12 and it’s the same number.

Answer:

[tex]\frac{7}{6}[/tex]

Step-by-step explanation:

[tex]\frac{5}{12} + \frac{9}{12} = ?[/tex]

When adding fractions, the denominators must be the same. In this case, they are both 12, so we can just add the numerators.

5 + 9 = 14

We are left with:

[tex]\frac{14}{12}[/tex]

14 and 12 are both even numbers and can be simplified by dividing by 2.

14 ÷ 2 = 7

12 ÷ 2 = 6

[tex]\frac{14}{12}[/tex] simplifies to [tex]\frac{7}{6}[/tex]

This is your answer.

Hope this helps!

Find the area of the trapezoid

Answers

Answer:

I think that the answer is 3495.24in

Fill in the missing values to make the equations true. (a) log 5 + log 3 = log₁ 5 (b) log, log, 7 = log, 7 - (c) log, 4 = log, 2​

Answers

Step-by-step explanation:

try this option:

[tex]a) \ log_{15}5+log_{15}3=log_{15}15;\\b) \ log_{1/2}log_{49}7=log_77;\\c) \ log_44=log_22.[/tex]

URGENT WILL GIVE BRAINLIEST ANSWER ASAP!

What is 3i=105 equals?
(As in, what is i representing?)

Answers

3i = 105

To make i by itself, divide both sides by i.

i = 35

There you have it, 35 is the answer.
It is
105/3 =I
So that means I=35

If 3a + 1 - a = 9 then what does 5a + 2 = ?

Answers

Answer:

[tex]3a + 1 - a = 9 \\ 2a = 8 \\ a = 4 \\ 5a + 2 = \\ 5(4) + 2 = 22[/tex]

first find the value of a, which is 4

then substitute a with 4

B) If one gallon of paint covers 0.5 square meters, how many gallons of black paint will the
need to paint the house?
Show your work
If you need anymore information let me know also if you send a link when I die I will come and haunt you

Answers

Answer:2/10, which can be reduced to 1/5.  

2. If a tank is 5/8 filled with solution, how much of the tank is empty?  

Ans: 3/8 of the tank is empty. Since the whole tank would equal 8/8, or 1, and 5/8 of it is filled, then that  

means 3/8 of it remains empty.  

3. 1/2 x 3/5 x2/3 =  

Ans: 6/30, which can be reduced to 1/5.

4. 5/9 ÷ 4/11 =  

Ans: 55/36. You cannot reduce this fraction any further.  

5. Convert 27/4 to a decimal.  

Ans: 6.75. This answer is arrived at by dividing 4 into 27.  

6. Convert 0.45 to a fraction.  

Ans: 45/100, which can be reduced to 9/20.  

7. 4.27 x 1.6 =  

Ans: 6.832  

8. 6.5 ÷ 0.8 =  

Ans: 8.125  

9. 12 + 4.52 + 245.621 =  

Step-by-step explanation:

An online health and medicine company claims that about 50% of Internet users would go to an online sight first for information regarding health and medicine. A random sample of 1318 Internet users was asked where they will go for information the next time they need information about health or medicine; 606 said that they would use the Internet. Test the claim that less than 50% of Internet users get their health questions answered online.

Answers

Answer:

The p-value of the test is 0.0018, which means that for a level of significance higher than this, there is sufficient evidence to claim that less than 50% of Internet users get their health questions answered online.

Step-by-step explanation:

Test the claim that less than 50% of Internet users get their health questions answered online.

At the null hypothesis, we test that 50% of Internet users get their health questions answered online, that is:

[tex]H_0: p = 0.5[/tex]

At the alternate hypothesis, we test that this proportion is less than 50%, that is:

[tex]H_a: p < 0.5[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5[/tex]

A random sample of 1318 Internet users was asked where they will go for information the next time they need information about health or medicine; 606 said that they would use the Internet.

This means that [tex]n = 1318, X = \frac{606}{1318} = 0.4598[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.4598 - 0.5}{\frac{0.5}{\sqrt{1318}}}[/tex]

[tex]z = -2.92[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.4598, which is the p-value of z = -2.92.

Looking at the z-table, z = -2.92 has a p-value of 0.0018.

The p-value of the test is 0.0018, which means that for a level of significance higher than this, there is sufficient evidence to claim that less than 50% of Internet users get their health questions answered online.

Victoria needs to earn at least an 85 in College Algebra. Only exam scores are used to calculate her grade. Currently she has scored an 82, 81, and 90 this semester. All that remains is the semester exam, which counts twice (counts as two exam grades). She hopes to make an 85 or higher in the class.

Answers

She would need to make two extra grades of 86 each.

What is the average?

Here we can see that the average of the scores that Victoria would need to make is an average score of 85 so as to be able to pull through. In this case, we can see that we have the scores; 82, 81, and 90

Let the scores tat we have to count twice be p each and then we have;

85 = 82 + 81 + 90 + p + p/5

85 = 253 + 2p/5

5(85) = 253 + 2p

p = 5(85)  - 253/2

p = 86

Hence, the twice scores that need to be earned for Victoria are both 86.

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Armando graphed the relationship between temperature and elevation for several cities. The x-coordinate is the elevation in meters and the the y-coordinate is the temperature in °C.
which cordanate would contain the point showing a city 3m below sea level 6°C below zero?
A.Quarant I
B.Quarant II
C.Quarant III
D.Quadrant IV​

Answers

Quadrant III



…..__mhm

Help me out please!
No links please I’ll report you
Show work!
I’ll give brainiest

Answers

Itz the second choice

help please with this assignment

Answers

Answer:

13

Step-by-step explanation:

Cuz the factor of y is angle to the 115° is to the Y value

Please tell me the question 11

Answers

Answer:

Step-by-step explanation:

Just find where both lines intersect. In this case, the two lines intersect at the point (2,4)

I believe the points match up to (2,4)

HELP. Will give branliest!!! No links

Answers

Answer:

5/3 is correct

Step-by-step explanation:

Mario had yards of ribbon for a project. Sue gave him more yards of ribbon. Which is closest to the number of yards of ribbon Mario had altogether?

Answers

The closest to the number of yards of ribbon Mario had altogether will be 11 yards

What is meant by Fraction?

A fraction is a part of the whole number, and a way to split up a number into equal parts. Or, A number that is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.

Given that;

Mario had 8 1/5 yards of ribbon for a project.

And, Sue gave him 2 3/4 more yards of ribbon.

Since Mario had 8 1/5 yards of ribbon for a project. And, Sue gave him 2 3/4 more yards of ribbon.

Hence, Total ribbon for the project Mario have = 8 1/5 yards + 2 3/4 yards

= 41/5 + 11/4

= (164 + 55) / 20

= 219 / 20 yards

= 10.95 yards

≈ 11 yards

Thus, the total ribbon for the project Mario has = 11 yards

The complete question is given below;-

Mario had 8 1/5 yards of ribbon for a project. Sue gave him 2 3/4 more yards of ribbon. Which is closest to the number of yards of ribbon Mario had altogether?

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2. A gallon of gas cost $3.50 at the
beginning of the month. At the e
of the month it cost $3.75. What
was the percent change in the
price of a gallon of gas?

Answers

Answer: 0.071%

Step-by-step explanation:

To get from $3.50 - $3.75, there was an increase of $0.25.

(Sorry if I'm getting the currency bit wrong, I'm British.)

Divide 0.25 by the original cost of 3.50, and you get:

0.07142857142857142857142857142857

Round this and you get a 0.071% increase

Answer:

The percent change in the price of a gallon of gas is 0.0714%.

Step-by-step explanation:

Given;A gallon of gas costs $3.50 at the beginning of the month.At the end of the month it costs $3.75.

Here, The price increased from $3.50 to $3.75, a change of $0.25.

To find What is the percent change.Formula[tex] \frac{changed \: \: price}{original \: \: price} \times 100\% \\ [/tex]

So,

$0.25 ÷ $3.50 × 100% = 0.0714%

Thus, The percent change in the price of a gallon of gas is 0.0714%.

A lab technician mixes a 10% acid solution with a 50% acid solution to create 40 ml of a 40%
solution. How much of each solution must be used?

Answers

Answer:

10 ml of 10%

30 ml of 50%

Step-by-step explanation:

x = amount of 10%

40 - x = amount of 50%

-------------------------------------

10x + 50(40 - x) = 40(40)

10x + 2000 - 50x = 1600

-40x + 2000 = 1600

-40x = -400

x = 10 ml of 10%

40 - x = 30 ml of 50%


1. A student has computed that it takes an average of 17 minutes with a standard deviation of 3 minutes to drive from home, park the car, and walk to an early morning class. Find the proportion of times whose time X satisfies each of the following conditions:

A) If you selected 10 days at random, what is the probability that half the days will take between 15 and
20 minutes?

B) What is the probability the second day selected will be the first day he is late to class, assuming he left
at 8:39am?

(I know how to solve for the probabilities on their own, however I’m not sure how to incorporate the added probability based on multiple days)

Answers

Answer:

B

Step-by-step explanation:

Find the perimeter of the figure​

Answers

9+5+1+5+4=24 In

this shld be the ans.

if its that simple

4. Jillian tracks her progress on her spelling tests over a period of four weeks. Which list shows her scores from
greatest to least?
WEEK 1
WEEK 2
WEEK 3
WEEK 4
25
0.78
30
15
| |=5
82%
F. Weeks 1,3,2,4
H. Weeks 3, 1, 2,4
G. Weeks 3, 1, 4,2
J. Weeks 1,3,4,2

Answers

Answer:

its F

Step-by-step explanation:

what is 4/5 of 2 hours​

Answers

Answer:

1.6 hours

Step-by-step explanation:

Answer:

[tex] \frac{8}{5}~hours~~or~~1.6~hours} [/tex]

Step-by-step explanation:

[tex] \frac{4}{5}~of~2~hours = [/tex]

[tex] = \frac{4}{5} \times 2~hours [/tex]

[tex]= \frac{4}{5} \times \frac{2}{1}~hours[/tex]

[tex] = \frac{4 \times 2}{5 \times 1}~hours [/tex]

[tex] = \frac{8}{5}~hours [/tex]

[tex] = 1.6~hours [/tex]

which is a solution to (x-2)(x+10)=13

Answers

Answer:

answers 3

Step-by-step explanation:

took more thinking than it should've tbh (3-2=1) (3+10=13) 1x13=13

A mixture of pecans walnuts, and cashews was in a ratio of 2:31. How much of each type of nut was in her purchase?

equation:
pecans:
walnuts:
cashews:

Answers

Answer:

The ratio given cannot be used to find the answer

Solve for x.
7x + 3
3x + 35
x = [?]
Enter

Answers

Answer:

8

Step-by-step explanation:

7x+3= 3x+35

4x= 32

x=8

they are corresponding angles

helo. since the top and bottom lines are straight and parallel, it = 180. also, since theyre parallel, the other side of the top line also=3x+35. so...

7x + 3 + 3x + 35=180

10x+38=180

10x=142

x=14.2

Work out
2/3 - 2/5
Give your answer in its simplest form.

Answers

Answer:

4/15

Step-by-step explanation:

find common denominators, which is 15

multiply 2/3 by 5 and and 2/5 by 3

2 x 5 = 10 and

3 x 5 = 15

10/15

2 x 3 = 6 and

5 x 3 = 15

6/15

subtract numerators

10 - 6

 15

= 4/15

Which student had the highest average (mean) score?
Math Tost Scores for Five Students
Score on Math Score on Math
Student

A. 1
B. 2
C. 3
D. 4
E. 5

Answers

the answer is E. Student 5 has the highest

evaluate 5² + 7 - 3 +4

Answers

The value of the numerical expression 5² + 7 - 3 + 4 will be 33.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 5² + 7 - 3 + 4

Simplify the expression, then we have

⇒ 5² + 7 - 3 + 4

⇒ 25 + 7 - 3 + 4

⇒ 36 - 3

⇒ 33

The value of the numerical expression 5² + 7 - 3 + 4 will be 33.

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In ADEF, e = 9.8 inches, f = 5.6 inches and ZD=149º. Find ZF, to the nearest 10th of
degree.
an

Answers

The angle measure of ∠F is approximately 66.9º.

What is an angle?

To find ∠F, we can use the Law of Cosines:

c² = a² + b² - 2ab cos(C)

Where c is the side opposite to the angle we want to find (in this case, side EF), a and b are the other two sides, and C is the angle opposite to side c (in this case, ∠F).

First, we need to find the length of side EF:

EF² = DE² + DF² - 2DE * DF cos(∠D)

EF² = (9.8)² + (5.6)² - 2(9.8)(5.6)cos(149º)

EF² ≈ 95.415

EF ≈ 9.769

Now, we can use the Law of Cosines again to find ∠F:

EF² = DE² + DF² - 2DE * DF cos(∠F)

cos(∠F) = (DE² + DF² - EF²) / 2DE * DF

cos(∠F) = ((9.8)² + (5.6)² - (9.769)²) / (2 * 9.8 * 5.6)

cos(∠F) ≈ 0.4035

∠F ≈ [tex]cos^{-1(0.4035)}[/tex]

∠F ≈ 66.9º (rounded to the nearest 10th)

Therefore, the measure of ∠F is approximately 66.9º.

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Complete question is: In ADEF, e = 9.8 inches, f = 5.6 inches and ZD=149º, the measure of ∠F is approximately 66.9º.

Please list some “deeez nuts” joke :) <3

Answers

Teacher: In all your subjects I am giving you D's.

Student: Well I am also going to be giving you D's.

Teacher: What do you mean?

Student: Deeez nuts!

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