Eduardo solved the following inequality, and his work is shown below:

−5(x + 4) ≥ 4x − 38
−5x − 20 ≥ 4x − 38
−9x − 20 ≥ −38
−9x ≥ −18
x ≥ 2

What mistake did Eduardo make in solving the inequality?

a.When dividing by −9, he did not change the direction of the sign.
b.He subtracted 4x from both sides when he should have added.
c.He added 20 to both sides when he should have subtracted.
d.He did not make a mistake.

Answers

Answer 1

Answer:

It's Option D

Step-by-step explanation:

All of Eduardo's steps are justified.

Answer 2

Answer:

D

Step-by-step explanation:


Related Questions

What is the quotient of d⁴-6d³+d+17÷d-2​

Answers

Answer:

d^4-6d^3+d+17/d-2

A bit complicated, sorry about that.

I need help with a geometry problem

Answers

#1

[tex]\\ \tt\hookrightarrow 3x+5=1/2(2x+15+6x-37)[/tex]

[tex]\\ \tt\hookrightarrow 6x+10=8x-22[/tex]

[tex]\\ \tt\hookrightarrow 2x=32[/tex]

[tex]\\ \tt\hookrightarrow x=16[/tex]

#2

[tex]\\ \tt\hookrightarrow 7x+2+25x-14=180[/tex]

[tex]\\ \tt\hookrightarrow 32x-12=180[/tex]

[tex]\\ \tt\hookrightarrow 32x=192[/tex]

[tex]\\ \tt\hookrightarrow x=6[/tex]

What is the volume of this cube?

Answers

Answer:

1

Step-by-step explanation:

volume= base•width•hight

Answer:

1 cubic centimeter

Step-by-step explanation:

1 x 1 x 1 = 1

the home plate at a baseball game measures 17 inches across what is the measurement in feet and inches?
a. 1 foot 7 inches
b. 1 foot 5 inches

Answers

Answer:

b. 1 foot 5 inches

Step-by-step explanation:

because one foot is 12 inches

Find the rate of change

Answers

Answer:

non linear

Step-by-step explanation:

you can see it doesnt go up a specific number each time, aka changes each time, therefor its  non linear

Answer:

2

Step-by-step explanation:

Use the method

 

Change in output  / Change in input

The input progresses by 1, and y progresses by 2.

We will plug the numbers in.

2/1

Then simplify.

2/1 = 2

Hence, the rate of change is 2.

Lenny bought a motorcycle. He paid 12.5% in tax. The tax added 1437.50 to the price of the motorcycle what was the price of the motorcycle not including the tax

Answers

Answer:

Amount of motorcycle = $11,500

Step-by-step explanation:

Given:

Tax rate = 12.5 % = 0.125

Amount of tax = $1,437.50

Find:

Amount of motorcycle

Computation:

Amount of motorcycle = [Amount of tax ] / Tax rate

Amount of motorcycle = [1,437.50] / 0.125

Amount of motorcycle = $11,500

What is the length of diagonal BD?

Answers

Answer: My answer would be 7.6

Step-by-step explanation: Hope this is correct.

What is the difference between –11x – 2 and 13x + 5?
24x + 7
-24x + 7
24x + 3
-24x - 7

Answers

Answer:[tex]\boxed{-24x-7}[/tex]Solution Steps:

____________________________

1.) Find the opposite of 13x + 5:To find the opposite of 13x+5, find the opposite of each term.[tex]13x=-13x[/tex][tex]5=-5[/tex]

 - We do this because when solving this they are in parenthesis, so you must get rid of the parenthesis by turning them negative.

Equation at the end of Step 1:

[tex]-11x-2-13x-5[/tex]2.) Combine −11x and −13x:[tex]-11x+-13x=-24x[/tex]

 - We do this since we can only have on variable at the end of the problem, so you just combine them if they have the same variable base.

Equation at the end of Step 2:

[tex]-24x-2-5[/tex]3.) Subtract 5 from −2:[tex]-2-5=-7[/tex]

 - We do this because we need one number left over to get a simplified version of this equation.

Equation at the end of Step 3:

[tex]-24x-7[/tex]

____________________________

Classify angle X Y Z. please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!! (Last option is Isosceles triangle) !!!!!!!!!

Answers

Answer:

its C

Step-by-step explanation:

C and D would make the most sense

Find the mean and compare it with the median. Find the standard deviation and compare it with the interquartile range

Answers

Question:

Find the mean and compare it with the median. Find the standard deviation and compare it with the interquartile range. Calculate s for the data 4, 1, 3, 10, 2.

Answer:

(a)

[tex]Mean = 4[/tex]

[tex]Median=3[/tex]

[tex]Mean > Median[/tex]

(b)

[tex]IQR = 2[/tex]

[tex]SD = 3.2[/tex]

[tex]SD> IQR[/tex]

Step-by-step explanation:

Given:

Data: 4, 1, 3, 10, 2.

Solving (a): The mean and the Median

The mean is calculated as follows:

[tex]Mean = \frac{1}{n} \sum x[/tex]

Where

[tex]n = 5[/tex] i.e 5 data

So, the expression becomes:

[tex]Mean = \frac{1}{5}(4 + 1+3+10+2)[/tex]

[tex]Mean = \frac{1}{5}(20)[/tex]

[tex]Mean = 4[/tex]

Calculating the Median:

First, arrange the order (ascending order):

[tex]Data: 1, 2,3,4,10[/tex]

Because n is odd

The median is represented as:

[tex]Median = (\frac{n+1}{2})th\ item[/tex]

[tex]Median = (\frac{5+1}{2})th\ item\\[/tex]

[tex]Median = (\frac{6}{2})th\ item[/tex]

[tex]Median = 3rd\ item[/tex]

From the arranged data, the 3rd item is 3.

Hence:

[tex]Median=3[/tex]

By comparison, the mean is greater than the median because [tex]4 > 3[/tex]

Solving (b): Standard Deviation and IQR

The standard deviation is calculated as follows:

[tex]SD= \sqrt{\frac{\sum (x_i - Mean)^2}{n}[/tex]

So, we have:

[tex]SD= \sqrt{\frac{(4 - 4)^2+(1 - 4)^2+(3 - 4)^2+(10 - 4)^2+(2 - 4)^2}{5}[/tex]

[tex]SD= \sqrt{\frac{(0)^2+(- 3)^2+(- 1)^2+(6)^2+(-2)^2}{5}[/tex]

[tex]SD= \sqrt{\frac{0+9+1+36+4}{5}[/tex]

[tex]SD= \sqrt{\frac{50}{5}[/tex]

[tex]SD= \sqrt{10}[/tex]

[tex]SD = 3.2[/tex]

Calculating IQR

[tex]IQR = Q_3 - Q_1[/tex]

[tex]Data: 1, 2,3,4,10[/tex]

In (a), we calculate the median as:

[tex]Median=3[/tex]

First, we calculate [tex]Q_1[/tex]

[tex]Q_1 = Median\ of\ the\ first\ half.[/tex]

The first half is:

[tex]First\ Half = 1,2,3[/tex]

So:

[tex]Q_1 = 2[/tex]

First, we calculate [tex]Q_3[/tex]

[tex]Q_3 = Median\ of\ the\ second\ half.[/tex]

[tex]Second\ Half = 3,4,10[/tex]

So:

[tex]Q_3 = 4[/tex]

Recall that:

[tex]IQR = Q_3 - Q_1[/tex]

[tex]IQR = 4 - 2[/tex]

[tex]IQR = 2[/tex]

So, we have:

[tex]IQR = 2[/tex]

[tex]SD = 3.2[/tex]

By comparison, the standard deviation is greater than the IQR because:

[tex]3.2 > 2[/tex]

So,

[tex]SD> IQR[/tex]

[(5+3 to the power 2]}- 4 to the power 2+ 2] divided by 7

Answers

Answer:

8

Step-by-step explanation:

Use PEMDAS.

P-Parenthesis/Brackets

E-exponents

M-multiply

D-divide

A-add

S-subtract

HELP ME PLEASE!!!!
Select the correct answer.
Solve this inequality for x: -46 − 8x > 22.
A.
x -8.5
D.
x > 8.5

Answers

Answer:

x < - 8.5

Step-by-step explanation:

Given

- 46 - 8x > 22 ( add 46 to both sides )

- 8x > 68

Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity

x < - [tex]\frac{68}{8}[/tex] , that is

x < - 8.5

Answer:

x < - 8.5

I hope this helps

In triangle ABC, DEAC. If AD=12, BD=3, and CE=10, find BE.

Answers

Answer:

BE = 2.5

Step-by-step explanation:

Remark

Use triangles ABC and DEB.

Formula

AB/DB = BC / BE

Givens

AB = 15BD = 3BC = 10 + xBE = x

Solution

15/3 = (10 + x)/x              Cross multiply

15x = 3(10 + x)                Remove the brackets

15x = 30 + 3x                 Subtract 3x from both sides.

15x - 3x = 30                  Combine

12x = 30                         Divide by 12

x = 30/12

x = 2.5

I need the answer ASAP plz

Answers

D and f okkkkkkkkkkkk
the answer to your question is D

32^x^+^2=2^x

Find the value of x

Please explain/show work

Answers

Answer:

taking log on both side

(x+2)log(32) = xlog(2)

product rule you can use out here U.V formula after that it will give you answer

Find the measures of the interior angles.

Answers

X = 26 degrees

Step-by-step explanation:

84+ 70=154

180-154= 26

Answer:

26

Explanation:

All triangles angles if summed up equal 180 degrees

So 84 + 70 = 154

180 - 154 = 26


The number 299 is divided into two parts in
the ratio 5:8. The product of the numbers
(A) 21140
(C) 21160
(B) 21294
(D) 31294

Answers

I think it might be B I’m so sorry if it’s not

Exponential & Logarithmic Functions
Please Help ASAP! The question is in the picture.

Sam purchases a house for $150,000 near Thurmond Lake. The value of houses in the area where the house was purchased is averaging an increase of 7% per year.

What would be the growth factor (multiplier)?

If the trend continues how much would the house be worth 12 years after Sam purchased the house?

Answers

Answer:

What would be the growth factor (multiplier)?

Continuously compounded:

e or 2.718.

Simple interest:

1.84

If the trend continues how much would the house be worth 12 years after Sam

purchased the house?

Continuously compounded:

$347,455.05

Simple interest:

$276,000.00

_______________

Step-by-step explanation:

Chi has a big pile of nickels. He says, “Even if I use 100 of these nickels, I’ll still have 95% of my original pile.” How many nickels does Chi have?

Answers

Answer:

2000

Step-by-step explanation:5%= 100 nickels

1%= 20 nickels

20 x 100 = 2000

Answer:

2,000

Step-by-step explanation:

If 5%=100 nickels , then 20x100=the number of nickels Chi has.  

20x100=2,000

. A gym charges $25 a month membership fee. The cost of a personal trainer is $15 per session.
If p represents the number of personal training sessions used and c represents the total
charges at the end of the month, what finear equation can be used to determine a user's
monthly bill?

Answers

Yes that’s a good answer

Select that all apply.

Answers

Answer:

C. ASA E. AAS B. HA

Step-by-step explanation:

ASA - The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

AAS -  If two angles and a nonincluded side of one triangle are congruent to two angles and a nonincluded side of a second triangle, then the triangles are congruent.

HA - If the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another triangle, then the two triangles are congruent.

Answer:

c.asa

Step-by-step explanation:

only C. asa tgat correct answer

Find the total monthly cost for this plan to buy.
Loan Rate Insurance Repairs
Gas
Extra Miles
Misc.
Total Cost
$470.60
$125.00
warranty $69.00 $0.00
$55.50

Answers

Answer: $720.10

Step-by-step explanation:

I got this by adding the prices all together

take off discount and find the sale price of 15%off of $60.00
discount sale price​

Answers

Answer:

15% off of $60.00 would be $51.00

Step-by-step explanation:

(15 x 15) / 100 = 9

60-9=51

        </3 PureBeauty

ANSWER $51.00
skskksksks

I need help with this ASAP

Answers

Answer:

it is D

since 6 percent of people infected by 10 day

Someone help with this pls and answer all of them!!

Answers

6 is -2 +12
7 is -3 + 1
10 is -0.25y + 4

help plz will mark brainliest 100 point assignment

Answers

Answer:

The fourth answer, WBD is correct.

Step-by-step explanation:

As you can see the three points W, B and D all fall on the same line, which means that they are indeed colinear.

Answer:

W, B and D all fall on the same line, which means that they are indeed colinear.

Step-by-step explanation:

help plsss someone asap, i’ll mark as brainliest if correct!

Answers

The answer is y= x+2

Answer:

A.) y=x-2

Step-by-step explanation:

Each value in the "x" section is 2 numbers less than its corresponding number in the "y" section.

Using the image above name a 1 pair of each of the following ! Do I have it correct?

Answers

Answer:

2 is wrong. That is a vertical angle not a linear pair. A linear pair would be 6 and 7.

Step-by-step explanation:

Everything else is correct.

Find the value of the expression
m + m + 9
for m = 4, n = 3, and r= 1.

Answers

Answer:

17

Step-by-step explanation:

both m's substitute for 4

4+4+9

8+9

17

17 is the correct answer

Find the value of x.
B
X+5
4
D
E
2x
3
А
x = [?]

Answers

Answer:

x = 3

Step-by-step explanation:

Δ BDE and Δ BAC are similar triangles, thus the ratio of corresponding sides are equal, that is

[tex]\frac{BD}{BA}[/tex] = [tex]\frac{BE}{BC}[/tex], substitute values

[tex]\frac{x+5}{3x+5}[/tex] = [tex]\frac{4}{7}[/tex] ( cross- multiply )

4(3x + 5) = 7(x + 5) ← distribute parenthesis on both sides )

12x + 20 = 7x + 35 ( subtract 7x from both sides )

5x + 20 = 35 ( subtract 20 from both sides )

5x = 15 ( divide both sides by 5 )

x = 3

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