Step 1 -3(3x+5)-6<6
Step 2. -3(3x+5)<12
Step 3. -9x-15<12
Step 4. -9<27
Step 5. x<-3

Between which two consecutive steps did mike make a mistake


(I understand where the mistake is but I don't know how it wants me to answer the question)

Answers

Answer 1
Error is between steps 4 and 5. It should say:

Step 4: -9x < 27
Now divide by -9
Step 5: x > -3
Note that the inequality changes direction.
When you mean multiply or divide an inequality by a negative number, the inequality changes direction.

For example:
4 < 5
Multiply by -1:
-4 > -5

Another example:
-5 < 0
5 > 0

Related Questions

IF YOU ARE SMART DO THIS PROBLEM NOT PEOPLE WHO DONT WANN HELP



An aquarium holds 11.94 cubic feet of water, and 2.6 feet long and 1.4 feet wide. What is its depth? Round your answer to the nearest whole number.

Answers

Answer:

3.28ft

Step-by-step explanation:

Rectangular Prism Formula:

l*w*d = v

(plug in values)

2.6*1.4*d=11.94

3.64*d=11.94

d = 3.28ft

Graph the line with the equation y = 1/5 x - 5 , ILL MARK BRAINLIST

Answers

Answer:

The line will cross point (0,-5) and (25,0)

Step-by-step explanation:

Proved graph in the picture using desmos graphing software

Suppose that 11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. (Round your answers to four decimal places.) (a) What is the (approximate) probability that X is at most 30

Answers

Answer:

0.9726 = 97.26% approximate probability that X is at most 30

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped).

This means that [tex]p = 0.11[/tex]

Random sample of 200 shafts

This means that [tex]n = 200[/tex]

Mean and Standard deviation:

[tex]\mu = E(x) = np = 200*0.11 = 22[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200*0.11*0.89} = 4.42[/tex]

(a) What is the (approximate) probability that X is at most 30

Using continuity correction, this is [tex]P(X \leq 30 + 0.5) = P(X \leq 30.5)[/tex], which is the pvalue of Z when X = 30.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30.5 - 22}{4.42}[/tex]

[tex]Z = 1.92[/tex]

[tex]Z = 1.92[/tex] has a pvalue of 0.9726.

0.9726 = 97.26% approximate probability that X is at most 30

Lin runs 5 miles in 40 minutes.

A. How many minutes per mile that?

B. How many miles per minute is that?

C. If Lin runs 9 miles at the same rate, how long does it take her?

Answers

8 mins
1 mile
1 hr and 12 mins

Which expression does not equal to the others?
A
567 /1,000
-------------------
B
56.7 / 10,000
----------------------
C
5.67 /10
---------------------
D
56.7 /100

Answers

Answer:

B is not equal to the others

Step-by-step explanation:

A . it is increasing and linear

B. it is decreasing and linear

C. it is increasing and non linear

D. It is decreasing and non linear

Answers

Answer:

The answer is B.

Step-by-step explanation:

From the interval -6 < x < 0, the line is straight which is linear equation. The line shows its going down so it will be decreasing gradient.

PLEASE HELPP!!
|y.
2
X X
-2 1
45
2
3
What is the slope of line b?
01
2
2.
-2
0 -1
2

Answers

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = [tex]\frac{0-(-2)}{4-0}[/tex] = [tex]\frac{0+2}{4}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]

Find the volume of this cuboid 5cm

Answers

I think the answer is V=125

Answer:

125[tex]cm^{3}[/tex]

Step-by-step explanation:

5x5x5= 125

$250 gaming system is discounted by 25%. It was then discounted another 10% because the box was opened
by a customer.​

Answers

Answer:

i think you want to know what is the total it is 87.5

Step-by-step explanation:

Answer:

You pay $168.75

You save $81.25

Step-by-step explanation:

First you find the 25% off

25% of 250 is 187.50

That is 62.50 saved

Now subtract 187.50 by 10%

10% of 187.50 is 168.75

That is 18.75 saved

5. Divide using Synthetic Division
(2x3 + 5x2 – 3) = (x + 2)

Answers

11= x because if you simply the question you get 13= x+ 2 and then you subtract 2 from each side and cross out the 2 from 2/2 and get left with 11=x

A gallon of gas last summer was $2.28. This week, a gallon costs $3.48.
What is the percent change?

Answers

Answer:

52.63%

Step-by-step explanation:

The gasoline increased by $1.20. This means it grew by about 52.63% (Double-check to make sure I am correct)

which shows the product of 23 and 39​

Answers

Answer:

23 * 29

Step-by-step explanation:

pls give thanks, 5 star, brainliest

the answer or the equation but 23•39=897

Sam has 6 boxes of pencils. Each pack has x pencils in it. After Julie gives Sam 4 more pencils, he has a total of 40 pencils.

40 - (x + 4) = 6

6(x + 4 ) = 40

6x + 4 = 40

6 + 4x = 40

Answers

Answer:

6x + 4 = 40

Step-by-step explanation:

6 boxes

x = number of pencils per box

therefore Sam had 6x and received 4 more

Answer:

6x + 4 = 40

explanation

Step-by-step explanation:

6 boxes

x = number of pencils per box

therefore Sam had 6x and received 4 more

Bob can eat 24 pizzas in 1 1/3 hours. How many pizzas per hour?

Answers

Answer:

Step-by-step explanation:

Pls someone help the multi choice answers are
A:3:10
B:2/5
C:3:7
D:1/2

Answers

it will be A

Step-by-step explanation:

because it adds up to 3:10

1. It costs $3.45 to buy 3/4 lb of chopped walnuts. How much would it cost to purchase
7.5 lbs of walnuts? Explain or show your reasoning.

Answers

Answer:

$34.50

Step-by-step explanation:

First, how many 3/4 lbs are in 7.5 lbs?

7.5 lbs = 15/2 lbs.

(15/2) / (3/4) = 10

There are 10 "3/4" lbs in 7.5 lbs.

So, if it costs $3.45 to purchase 3/4 lbs of chopped walnuts, it would cost $3.45 times 10 dollars to purchase 7.5 lbs of chopped walnuts, or $34.50.

Let me know if this helps!

It takes Josephine 60 minutes to walk 7 1/2 blocks.At This Rate How Many Blocks Can He Walk In 4 Hours.

Answers

Answer:

30 blocks

Step-by-step explanation:

60 minutes = 1 hour

For one hour, she will walk 7.5 blocks.

The rate is 7.5blocks per hour.

Multiply this by 4 hours, and you will get 30 blocks.

(7.5)4 = 30


In a class of 30 students, 13 of them are boys.
What percentage of the class are girls?
Give your answer to 1 decimal place.

Answers

Answer:

56.7%

Step-by-step explanation:

30-13=17

(on a scientific calculator) 17/30=

0.56666667 x 100= 56.7 (round it up)

you can use this method everytime when trying to find a percantge.

Divide 4 1/2 by the following unit fractions. 1/8 b. 1/4 c. 1/6

Answers

Answer:

a. 36

b. 18

c. 27

If the movie theater seats 328 people, what is the maximum amount of money the theater can bring in during a show?​

Answers

Answer:

how much money does it cost for one person??

Find the slope of the line through the given points.
(-7, 7), (-1, 10)

Answers

Answer:

slope={10-7)/(-1--7)=3/(-1+7)=3/6=1/2

Answer:

3/6 or 1/2 (simplified)

Step-by-step explanation:

Use the slope formula: (change in y)/(change in x)

A random telephone survey of adults (aged and older) was conducted by Opinion Research Corporation on behalf of CompleteTax, an online tax preparation and e-filing service. The survey results showed that of those surveyed planned to file their taxes electronically. a. Develop a descriptive statistic that can be used to estimate the percentage of all taxpayers who file electronically.

Answers

Answer:

The answer is "66.99%"

Step-by-step explanation:

Please find the correct question in the attached file.

[tex]\to \frac{684}{1021} \times 100\\\\\to \frac{684}{1021} \times 100\\\\ \to 0.6699 \times 100 \\\\ \to 66.99 \%[/tex]

What is 0.15 divided by 2.5? What is the answer?

Answers

Answer:

0.06 is the answer

Step-by-step explanation:

0.15÷2.5=0.06

Answer:  0.06

Ignore this text it is mandatory that I have at least 20 characters.

Select the correct equation and correct answer to
solve for x using the triangle below.
Q
L
K
2x - 15
R
Р P.
2x - 8

Answers

Answer:

11

Step-by-step explanation:

LK = 1/2RP

theorem: straight line joining the midpoints of two sides of a triangle is parallel to the third side and equal to half the length of the third side.

LK = 2x - 15 ; RP = 2x - 8

2x - 15 = 1/2(2x - 8)

2x - 15 = 2x - 8/2

2x - 15 = x - 4

Collect like terms and simplify

x = 11

The experimental probability and theoretical probability of an event are not
necessarily the same.
A) true B) false

Answers

B I’m just putting random letters because I have to add characters apparentlyndnnd
the answer is false.

30 Points! A window in the shape of a rectangle is pictured. Match the expression with the questions that it answers.

Answers

Answer:

Which expression represents the area?

Which expression represents the perimeter? 2x squared plus 8x - 2

Step-by-step explanation:

A= LxW

P= L+W+L+W

Of the 80 students in the student body, 60 voted for the winning candidate. What percent voted for the winning candidate

Answers

Answer:

20 studenti fac laba on a romania

Answer:75%

Step-by-step explanation:

Total no. of students= 80

No. of students who voted the winning candidate=60

% of students that voted for the winning team=60/80 x 100%

                                                                           

A trapezoid has 62 feet base and 36.4 feet base, as well as 70 feet height. What is the area? ​

Answers

The area is 3444 ft, hope that helps :)

Hi can someone help me with these 2.

Answers

Step-by-step explanation:

13. 43/5 = 8 3/5

(I) he can make 8 rows .

(ii)= 3 soldiers will be left in the last row .

14. 17/2 = 8 1/2

I) she can make 8 booklets

2) yes she will have any extra sheet

3 ) 1 sheet will be left extra .

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

What is the greatest common factor of 3 and 27?

Answers

Answer:

9

Step-by-step explanation:

3*9=27

The greatest common factor of 3 and 27 is 3.

Given numbers are 3 and 27.

To find the greatest common factor of 3 and 27, find the factor each number individually.

So, the factor of 3 are:

3 = 1, 3

and, the factor of 27 are:

27= 1, 3, 9, 27

Now, the greatest common factor will be 3.

Learn more about greatest common factor here:

https://brainly.com/question/29584814

#SPJ6

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