Mona solved an equation incorrectly, as shown below:

Step 1: 5x = 30
Step 2: x = 30 − 5
Step 3: x = 25

Which statement best explains why Step 2 is incorrect in Mona's solution?

She did not add 5 to 30.
She did not divide 30 by 5.
She did not multiply 30 by 5.
She did not multiply 30 five times.

Answers

Answer 1

Answer:

She did not add 5 to 30. ... Mona subtracted 5 where she should have divided 5.

Step-by-step explanation:

Answer 2

Answer:

B. She did not divide 30 by 5

Step-by-step explanation:

This is the only way to cancel out the 5 and get the variable alone


Related Questions

No Links Please!


In the xy-plane, the midpoint M of segment AB has coordinates (-1, 3).
And point A has coordinates (-3,0). What is the x-coordinate of point B?


O -1

O 1

O 2

O 3

Answers

So the midpoint coordinates=((xA+xB/2),(yA+yB/2))
so (xA+xB)/2=xM
Sub in (-3+xB)/2=-1
Rearrange xB=(-1x2)+3
And solve xB=1 so the answer is one :)

At the school fall festival, the student council sold sodas as a fundraiser. The table below shows the number of sodas they sold and the cumulative total money.

Sodas Sold Money Collected
0 $0.00
2 $3.00
5 $7.50
9 $13.50
10 $15.00

Based on the information, what is the price per soda?
A.
$1.50 per soda
B.
$0.50 per soda
C.
$2.25 per soda
D.
$2.50 per soda

Answers

Answer A is correct

An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 429 watts with a standard deviation of 10 watts. What is the probability that the mean amplifier output would be greater than 432.1 watts in a sample of 76 amplifiers if the claim is true

Answers

Answer:

0.0035 = 0.35% probability that the mean amplifier output would be greater than 432.1 watts.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

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

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean output of 429 watts with a standard deviation of 10 watts.

This means that [tex]\mu = 429, \sigma = 10[/tex]

Sample of 76:

This means that [tex]n = 76, s = \frac{10}{\sqrt{76}} = 1.147[/tex]

What is the probability that the mean amplifier output would be greater than 432.1 watts?

This is 1 subtracted by the pvalue of Z when X = 432.1. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{432.1 - 429}{1.147}[/tex]

[tex]Z = 2.7[/tex]

[tex]Z = 2.7[/tex] has a pvalue of 0.9965

1 - 0.9965 = 0.0035

0.0035 = 0.35% probability that the mean amplifier output would be greater than 432.1 watts.

Is the following equation exponential? Why or why not y=x^2+5

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: Yes because of x^2

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

n airline company charges the following baggage fees: $25 for the first bag and $35 for the second (i.e., you pay $60 if you check two bags). Suppose 54% of passengers have no checked luggage, 34% have one piece of checked luggage and 12% have two pieces. About how much revenue should the airline expect for a flight of 120 passengers

Answers

Answer:

The airline should expect a revenue of $1,884 for a flight of 120 passengers

Step-by-step explanation:

For each passenger:

54% of passengers have no checked luggage, that is, 54% probability of no revenue.

34% have one piece, that is, 34% probability of $25 revenue.

12% have two pieces, that is, 12% probability of $60 revenue.

The expected revenue for a single passenger is:

[tex]E = 0.54*0 + 0.34*25 + 0.12*60 = 15.7[/tex]

For 120 passengers

15.7*120 = $1,884

The airline should expect a revenue of $1,884 for a flight of 120 passengers

Flask Company reports net sales of $2,620 million; cost of goods sold of $2,230 million; net income of $450 million; and average total assets of $2,090 million. Compute its total asset turnover.

Answers

Answer:

to me it is at least $3000

The data in a data set are normally distributed with a mean of 170 and a standard deviation of 20. Estimate the percent of the data that are less than 150 or greater than 190.​

Answers

Using the normal distribution, we find that 32% of the data that is less than 150 or greater than 190.​

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

Normal Probability Distribution

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

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

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

The data in a data set are normally distributed with a mean of 170 and a standard deviation of 20.

This means that [tex]\mu = 170, \sigma = 20[/tex]

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

Less than 150:

As a proportion, it is the p-value of Z when X = 150, so:

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

[tex]Z = \frac{150 - 170}{20}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.16.

0.16x100% = 16%

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

More than 190:

As a proportion, it is 1 subtracted by the p-value of Z when X = 190, so:

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

[tex]Z = \frac{190 - 170}{20}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a p-value of 0.84.

1 - 0.84 = 0.16

0.16x100% = 16%

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

Estimate the percent of the data that are less than 150 or greater than 190.​

We add both percentages, thus:

16% + 16% = 32%

32% of the data that is less than 150 or greater than 190.​

A similar question is given at https://brainly.com/question/14694610

Verify the identity.
cos x/1+sin x = sec x - tanx

Answers

Answer:

See below for proof

Step-by-step explanation:

[tex]\displaystyle \frac{\cos x}{1+\sin x}=\frac{\cos x(1-\sin x)}{(1+\sin x)(1-\sin x)}\\\\\frac{\cos x}{1+\sin x}=\frac{\cos x(1-\sin x)}{1-\sin^2x}\\\\\frac{\cos x}{1+\sin x}=\frac{\cos x(1-\sin x)}{\cos^2x}\\\\\frac{\cos x}{1+\sin x}=\frac{1-\sin x}{\cos x}\\\\\frac{\cos x}{1+\sin x}=\frac{1}{\cos x}-\frac{\sin x}{\cos x}\\\\\frac{\cos x}{1+\sin x}=\sec x-\tan x[/tex]

Maximizing revenue. Edwards University wants to determine what price to charge for tickets to football games. At $18 per ticket, attendance averages 40,000 people per game. Every decrease of $3 to the ticket price adds 10,000 people to the average attendance. Every person at a game spends an average of $4.50 on concessions. What price per ticket will maximize revenue

Answers

Answer:

New price is $12.75

New attendance is 57500

Step-by-step explanation:

For starters, we use the relation.

18 - 3x

Since we don't know the number of times we're expected to deduct $3 from the price.

Again, we have 40000 + 10000x on another hand. Question says to add 10000 people everytime $3 is deducted.

Since (40000 + 10000x) is the number of people, we multiply it by $4.50, the average amount each person spends is then gotten to be

(18 - 3x) (40000 + 10000x) + (40000 + 10000x) (4.5) = 0

Expanding the bracket, we have

[720000 + 60000x - 30000x²] + [180000 + 45000x] = 0, solving further, we have

900000 + 105000x - 30000x² = 0 or

-30000x² + 105000x + 900000 = 0

Then, we find the maximum of a quadratic, by finding the axis of symmetry. Use x = -b/2a

x = -105000 / 2 * -30000

x = -105000 / -60000

x = 1.75

From our earlier equations, the new price then is

18 - 3(1.75) = 18 - 5.25 = $12.75

The new attendance also is

40000 + 10000(1.75) =

40000 + 17500 = 57500

Can someone help with vectors?

Answers

Answer:

Wait, the vector from despicable me or the math vector?

Step-by-step explanation:

If its the math vector than here: The correct answer is a vector

Jane's dog is 62 centimeters long. Alan's dog is 33 centimeters long. How
much shorter is Alan's dog than Jane's dog?

Answers

29 Centimeters shorter

Ben is flying a kite directly over his buddy Franklin, who is 125 meters away. His kite string makes a 39° angle with the level ground. How high is the kite?​

Answers

Answer:

a=101.223

Step-by-step explanation:

use SOCATOA

or an online calculator

https://www.calculator.net/triangle-calculator.html?vc=x&vx=z&vy=y&va=39&vz=125&vb=90&angleunits=d&x=59&y=16

|al-|b| + IcI. if a=-8;6=-5;c=1
Pls no links and only give answer if you know it

Answers

Answer:

4

Step-by-step explanation:

Given

a = -8;b = -5;c = 1

Absolute value is always positive:

|al - |b| + IcI = |-8l - |-5| + I1I =8 - 5 + 1 =4

Classify the triangle as acute, obtuse, or right based on the given side
lengths. *
3,4,6
Acute
Obtuse
Right

Answers

Acute is the kind of angle

The diameter of a circle is 16 kilometers. What is the angle measure of an arc 6​ kilometers long?
In simplest form

Answers

Answer: 135/pi

Step-by-step explanation: Circumference is 16pi. So then 6/16pi is the fraction of the 360 arc measure of the entire circle that is the angle measure of the arc, so we multiply 6/16pi times 360 and yield 135/pi. Hope this helps!

Anna charges $8.50 per hour to babysit . How much will earn if she works for 31/2 hours?

Answers

Answer:

$29.75

Step-by-step explanation:

$8.50 for 1 hour

So for 3 hours, it will be 8.50 + 8.50 + 8.50 equaling to 25.50

So far the total is $25.50 for 3 hours ONLY!

Now, for half of an hour it will be half of a price, making 8.50 into 4.25

Finally, add $25.50 + $4.25 giving you the totality of $29.75 as the final pay after working for 3 1/2 hours

PLs help quick,Jonna has 5 yards of fabric.She needs 100 inches of fabric to make curtains.Does she have enough fabric to make curtains?

Answers

Answer:

Yes, she has 80 more inches

Why?

Because one yard is 36 inches and she has 5 yards and 5x36=180 and she has 100 inches and 180>100.

She has 80 more.

Hope it helps :)

Warren reads 6 books each month as part of his book club. If Warren has read 24 books so
far, how many months has he been with his book club?

Answers

Answer: 4 months

Look at it this way: 6 books in a group. How many groups are there? well this is multiplication. Just add 6 a bunch of times until you get 24. You will add 6+6+6+6. There are 4 6's. This means, there are 4 months, with 6 books each month.

Answer: 4months

Step-by-step explanation:

Consider this: a set of six novels. What is the total number of groups? This is, after all, multiplication. Simply multiply 6 by 6 until you have 24. You'll multiply 6 by 6 by 6 by 6 There are four sixes. This implies there are four months in all, each with six books.

its very easy just try it

Answers

the answer is a. biased

Answer:

it is biased

Step-by-step explanation:

(7+i)-(6-4i) whats this answer as a complex number in standard form.

Answers

Remove parenthesis, rearrange, and combine like terms.

7+i-6+4i

1i+4i+7-6

5i+1

---

hope it helps

solve the equation of the 18y = 144 to find the value of y

Answers

Answer:

y=8 i think

Step-by-step explanation:

Answer: y=8

Step-by-step explanation: You divide 18y/18 to isolate y but what you do to one side you must do to the other do you divide 144/18 as well so get the answer of y=8

I hope this helps you or anybody!

Dont steal points please if you do you will get repo answer all please I will give brainliest if its correct and 5 stars rating and the heart thanks.

Answers

Answer:

Here is the work I did yesterday for you

Step-by-step explanation:

Your answer should have the same number of significant figures as the starting measurement. 0.0510 cm = mm

Answers

Answer: 0.0510 cm = 0.510 mm

Step-by-step explanation: zeros in the end of decimal number are significant.

Also 0.0510 cm has three significant numbers

hii help me out please is this a function or not you'll get 50+ brainliest points

Answers

Answer:

This is not a function

Step-by-step explanation:

convert 43 minutes to seconds​

Answers

It would be 2580 seconds

Answer:

2580 seconds

Step-by-step explanation:

There are 60 seconds in 1 minute, so you do 43 * 60 = 2580 seconds

Can somebody please help me with this question?

Answers

To find how many degrees a polygon's angles add up to, use the formula (n - 2) · 180, where n = the number of angles. So, since this polygon has 5 angles (it's a pentagon)

(5-2) · 180 = 3 · 180 = 540.

Now, all we have to do is add up all of the angles:

75 + 126 + 126 + 81 + c = 540

c = 132

Can anyone help me!!

Answers

Answer:

help on chemistry is help on math for you

The equation of a circle is given as x2+ax+y2+by=c where a, b, and c are constants. The radius of the circle is given by the expression
(a2)2+(b2)2+c

a+b+c

(a2)2+(b2)2

c√

Answers

B because if the circle has a radius of x2 the 1/2 of that would be a+c bringing in c to become abc or a+b+c

Answering actually A

Step-by-step explanation:

What is the value of x?

Answers

The answer you’re looking for is 19

Need answer asap, brainliest for correct answer

Answers

Answer:

C

Step-by-step explanation:

The rotation of 90 degree anti clockwise makes more sense as the reflection is across the x axis shows us a line of symmetry above after the rotation of 90 degree anticlockwise at x axis (0) so that the rectangle is reflected ito (-8,-3)) (-3,-3) (-8,-6) (-3,-6)

Proving that the rectangle is 5cm long and 3cm high after 90 degree rotation and reflection from y axis to the x axis position in the far left corner.

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