Consider this solution to a problem.



Problem: -4(6-y)+4=-4

Step 1: -24-4y+4=-4

Step 2: -20-4y=-4

Step 3: -4y = 16

Step 4: y=-4



​In the first response box, enter the number of the step where the mistake is made.



​Step:




In the second response box, enter the correct solution to the problem.​





Answers

Answer 1

Answer:

1. The mistake was the sign that was put negative instead of positive.

2. y = 4

Step-by-step explanation:

​In the first response box, enter the number of the step where the mistake is made.

​Step:

The mistake is on step 1: This is the distributive property, however it was distrubuted wrong since the signs were used wrong.

-4(6-y)+4=-4 does not equal  -24-4y+4=-4

The reason is because -4 x -y is not equal to -4y because negative x negative = positive. So, it's equal to +4y.

In the second response box, enter the correct solution to the problem.​

Problem: -4(6-y)+4=-4

Step 1: -24 + 4y + 4 = -4 (Distributive Property Of Equality)

Step 2: -20 + 4y = -4 (Combine Like Terms)

Step 3: 4y = 16 (Addition Property Of Equality)

Step 4: y = 4 (Division Property Of Equality)


Related Questions

what is 2/10 as a decimal number​

Answers

Answer:

0.2 is the answer .

Hope it helps..

Don Trastmi is a respected investment consultant, but with a bit of a pessimistic attitude. He always projects correctly when the stock market goes down, but he is right only 6 out of 10 times when the market goes up. Don projects that next week the market will go up. What is the probability that the market will indeed go up

Answers

Answer:

The answer is "[tex]\bold{\frac{6}{10}}[/tex]"

Step-by-step explanation:

[tex]\to p(\frac{\text{Market is falling}}{\text{The expected demand is fall Don}}) =1\\\\\to p(\frac{\text{Market is falling}}{\text{The expected demand is rising Don}}) =0.6[/tex]

That's why the answer is [tex]\to \frac{6}{10}[/tex]

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

C x=55

Step-by-step explanation:

the angles of a trianlge add up to 180

the unmarked angle is also 35 because of the same side length

35+35=70

180-70=110

BUT 2x=110 so x=55

P.S Can I get brainlist?

What’s the percentage as a decimal

Answers

Answer:

0.0006

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST
travelling to France, a plane encounters a tailwind and averages 282 mph. however, on the return trip the plane, now travelling against the same wind averages 222 mph. find the speed of the wind of the plane in no wind

Answers

Answer:

.

Step-by-step explanation:

The probability that A is the outcome of an experiment is 0.3
What is the probability that A is not the outcome?​

Answers

Answer:

.7

Step-by-step explanation:

a scientist recorded the temperature of the first day of spring for 24 hours starting from Midnight their hours the scientist recorded a low of 44°f and a high of 67°f.

Answers

Answer:

so what is the question?

is this correct? help please

Answers

yes! That graph matches the equation

Answer:

yes

Step-by-step explanation:

y = -4/3x + 8 so you would multiply - 4/3 * x. Then you would add 8 to your answer and if the y value equals the value on the graph then it's correct.

A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 70 square feet. Find the length of the rectangle.

Answers

Answer:

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Step-by-step explanation:

Step(i):-

Let 'x' be the length of the rectangle

Given that the width is 3 feet shorter than the length

The width of the rectangle = x -3

Area of the rectangle = length × width

Step(ii):-

Area of the rectangle = length × width

                                  = x ( x-3)

Given that the area of the rectangle = 70 square feet

                       x ( x-3) = 70

              ⇒   x² - 3x - 70 =0

              ⇒  x² - 10 x + 7 x - 70 =0

             ⇒  x (x -10) +7( x-10) =0

            ⇒ ( x+7) ( x-10) = 0

           ⇒  x =-7 and x=10

Final answer:-

we choose x=10

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

What is the total cost with sales tax price $17.95 tax 6%

Answers

the answer would be 16.87

Answer:

$19.03

Step-by-step explanation:

Okay, this is a standard percentage problem, so learning how to do this is necessary. First, we have to find what 6% of $17.95 is, since of is our keyword and that means to multiply, and percentages turn into decimals:

17.95 x 0.06 = 1.08

So we have our tax, then we have to add that to our original price to get the whole thing:

17.95 + 1.08 = 19.03

So the total sale price is $19.03

Parker drank 36 fluid ounces of a sports drink at her basketball game. How many pints did she drink

Answers

Answer:

2 1/4 pints

Step-by-step explanation:

create a ratio with the fact there are 16 ounces in 1 cup

let 'p' = number of pints

16 = 36

 1         p

cross-multiply:  16p = 36

                            p = 36/ 16, which is 9/ 4, or 2 1/4

pls help solve question 3

Answers

Answer:

If m is the midpoint of ab it means am is equal to mb

am = 3x + 8 and mb = 6x-4

and ab  = am + mb

first find the value of x by using am = mb

3x + 8 = 6x - 4

8 + 4 = 6x - 3x

12 = 3x

x = 4

ab = 3 (4) + 8

= 12 + 8 = 20 = mb

ab = am + mb

= 20 + 20

40

so, the value of ab is 40

Susan subscribed to a video game rental service. She pays the same
amount for each video game she rents plus a monthly fee to subscribe to
the service. The cost for different numbers of video game rentals are
shown in the graph.

Answers

Answer:

C

Step-by-step explanation:

Answer: C. $6.00 monthly fee and $1.25 per video game

Step-by-step explanation:

I did the test

Which graph represents a function?

Answers

the bottom right

it goes like \
~\

ish.


just going by the picture it’s the only one on the second row

Write an algebraic expression for the phrase. 12 minus m
A. m/12 B. 12-m C. 12m D. m-12

Answers

Answer:

it's b

Step-by-step explanation:

literally twelve minus m

Answer:

B

Step-by-step explanation:

12 minus m is, 12 - m

14/15 divided by 7/5

Answers

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

There are a couple of different ways that division of fractions can be done.

1) "invert and multiply"

  [tex]\dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\times\dfrac{5}{7}\\\\=\dfrac{14}{7}\times\dfrac{5}{15}=\boxed{\dfrac{2}{3}}[/tex]

__

2) use the numerators when the denominators are the same

  [tex]\dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\div\dfrac{21}{15}\\\\=\dfrac{14}{21}=\boxed{\dfrac{2}{3}}[/tex]

The length of a rectangular garden is 17 feet longer than its width. If the area of the garden is 234 square feet, what are the dimensions of the garden?

Answers

Answer:

The garden is 9 feet wide and 26 feet long.

Step-by-step explanation:

L = W+17

area = LW = 234

(W+17)W = 234

W²+17W-234 = 0

Quadratic formula

W = [-17 ± √(17² – 4·1(-234))] / [2·1]

 = [-17 ± √1225] / 2

 = [-17 ± 35] /2

 = -26, 9

-26 is an extraneous solution

W = 9

L = W+17 = 26

The garden is 9 feet wide and 26 feet long.

PLZ HELP I WILL GIVE BRAINLIST!!!!!!!!!!!!!!!
write an expression equivalent to 6(x + y) + 11 - 5, and state which property you used to write it.

Answers

Answer:

6x+6y+6

Step-by-step explanation:Distributive property and adding

6x+6y+6 dont forget to give me brainliest!!

The population of a town is 30,000, and it grows at a
rate of 7.2% per year.
What will the population be in 6 years?

Answers

Answer:

The population in 6 years will be 42,960.

Step-by-step explanation:

First, multiply 7.2% or 0.072 and 30,000 which will give you 2,160.

Then, 2,160 by the number of years (6) which is 12,960.

Lastly add 12,960 and 30,000 to get 42,960.

Hope this helps and I hope u have an Amazing day!

Find the point slope equation of the line through (10, -4) with a slope of -6.

Answers

Answer:

y=-6x+56

Step-by-step explanation:

The point-slope equation of a line is given as

y=mx+c   where m is slope and c is y-intercept of a line.

We are given m=-6 and a point (10,-4) which can be put into y=mx+c to find the only unknown c. Thus,

c=-4+6x10=56.

Now we can easily form the point-slope equation of the line

y=-6x+56.

Olive weights are classified according to a unique set of adjectives implying great size. For example, the mean weight of olives classified as "Colossal" is 7.7 grams. Suppose a particular company’s crop of "Colossal" olives is approximately Normally distributed with a mean of 7.7 grams and a standard deviation of 0.2 grams. Which of the following represents the probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams?

a. 0.0970
b. 0.9953
c. 0.0668
d. 0.0047
e. 0.1932

Answers

Answer:

d. 0.0047

Step-by-step explanation:

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

Normal probability distribution

When the distribution is normal, we use 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.

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.

Population:

We have that [tex]\mu = 7.7, \sigma = 0.2[/tex]

Sample of 3:

[tex]n = 3, s = \frac{0.2}{\sqrt{3}} = 0.1155[/tex]

Which of the following represents the probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams?

This is 1 subtracted by the pvalue of Z when X = 8. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{8 - 7.7}{0.1155}[/tex]

[tex]Z = 2.6[/tex]

[tex]Z = 2.6[/tex] has a pvalue of 0.9953

1 - 0.9953 = 0.0047

The probability is given by option d.

You can calculate the z score for the specified sample and then use the z tables to find the p value(probability) needed.

The probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams is given by

Option d : 0.0047

How to find the z score for a sample taken from a normal distribution holding random variate?

Suppose that the sample is of size 'n', then we have the z score(we are converting random variable X to standard random variable Z) as:

[tex]Z = \dfrac{X - \overline{x}}{s} = \dfrac{X - \mu}{\sigma/\sqrt{n}}[/tex]

where [tex]\overline{x}[/tex] is mean of the sample

s is the standard deviation of the sample,

and we used the central limit theorem which says that a sample from a normally distributed population with [tex]mean = \mu[/tex] and standard deviation = [tex]\sigma[/tex] can have its mean approximated by population mean and its standard deviation approximated by [tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]

Using the data given to find the intended probability

Let the weight of the the olives for the given crop of olives of a particular company for taken random sample is given by X (a random variable)

Then, we have:

[tex]X \sim N(7.7, 0.2)[/tex]

where

[tex]\mu = 7.7, \sigma = 0.2[/tex]

Thus, we have:

[tex]\overline{x} = \mu, s = \sigma/\sqrt{n} = 0.2/\sqrt{3}[/tex]

Using the given facts, we get the needed probability as:

[tex]P( X> 8)[/tex] sample size n  = 3)

Then, using the z score, we get):

[tex]P(X > 8) = 1 - P(X \leq 8) = 1 - P(Z \leq \dfrac{8 - 7.7}{0.2/\sqrt{3}})\\\\P(X > 8)=1- P(Z \leq \dfrac{0.3\sqrt{3}}{0.2}) = 1- P(Z \leq 1.5 \times \sqrt{3} )\\\\P(X > 8) = 1 - P(Z \leq 2.59) = 1- 0.9952 \approx 0.0047[/tex]

Thus,

The probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams is given by

Option d : 0.0047

Learn more about standard normal distribution here:

https://brainly.com/question/14989264

A bottle holds 48 teaspoons of vanilla. The amount of vanilla remaining in the bottle decreases by 2 teaspoons per
batch of cookies. How much vanilla remains after 12 batches of cookies

Answers

Answer:

24 teaspoons

Step-by-step explanation:

2 times 12 = 24

48 - 24 = 24

HELP!!

Construct the graph of the direct proportion y=kx for k= -1

Answers

Simple answer.

-1 x 3 = -3

3 is your x and -3 is your y.

Two puppies, Ruth and Scoonsie, are playing together. Scoonsie weighs 111111 kilograms, and Ruth is lighter than Scoonsie.
Write an inequality that describes r, Ruth's weight in kilograms.

Answers

Answer:

[tex]r < 11[/tex]

Step-by-step explanation:

Given

Represent Ruth with r and Scoonsie with s

[tex]s = 11kg[/tex]

Required

Represent Ruth's weight as an inequality

From the question, Ruth weighs lesser than Scoonsie. This is represented as:

[tex]Ruth < Scoonsie[/tex]

For proper representation, it is:

[tex]r < s[/tex]

Substitute 11 for s

[tex]r < 11[/tex]

The above inequality represents Ruth's weight

F(x)=3x^2-11 find f(-5)

Answers

Answer:

64

Step-by-step explanation:

Can the Pythagorean Theorem be used to find a distance in the coordinate plane?

Answers

Answer:

Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.

Step-by-step explanation:

hope it help

Answer:

Yes it can be used because there is a right angle and by using 3 points u form a right triangle and then u will can find distance

Solve the system of equations by substitution - 5x+8y= -86
y=6x-43 ​

Answers

Answer:

(6 ,-7)

Step-by-step explanation:

[tex] - 5x + 8y = - 86 \\ y = 6x - 43 \\ - 5x = - 86 - 8y \\ x = 17.2 + 1.6y \\ y = 6(17.2 + 1.6y) - 43 \\ y = 103.2 + 9.6y - 43 \\ 8.6y = - 60.2 \\ y = - 7 \\ [/tex]

[tex]x = 17.2 + 1.6( - 7) \\ x = 17.2 - 11.2 \\ x = 6[/tex]

Wich one is a better buy? Show your work.

Answers

Answer:

The second one because $2.50

Step-by-step explanation:10.5/3 1/3=3.15 6.25/2.5=2.50

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Solve for the angle x.

Answers

Answer:

x=45

Step-by-step explanation:

An entire triangle is 180 degrees and you already know that one angle is 90 degrees. 180 - 90 is 90. Now you have the equation 2x=90.

You then divide each side by 2 to get the x by itself which leaves you with x=45.

Answer:

if I did my math right it's 45 if not please fix me

Step-by-step explanation:

First thing is the the sides are congruent meant the angles have to be the same.

Next is the box indicates 90°.

Last thing is that every triangle is 180°

so if I did this right the equation is 2x+90=180

and using algebra in this you eliminate the 90 by subtract because - is the opposite of + which cancels itself and leaving the total with 90.

Then divide the 90 by 2 as it cancels out 2x leaving the answer with x=45

I hope this helps you

Find the value of the power.

8^3 =

Answer

Answers

Answer:512

Step-by-step explanation:

Answer:

512

Step-by-step explanation:

8*8*8=512

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