Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made. −5x − 25 = 78 Step 1: −5x − 25 − 25 = 78 − 25 Step 2: −5x = 53 Step 3: negative five times x over negative five = fifty-three over negative five Step 4: x = negative fifty-three over five Step 1: She should have added 25 to each side. Step 1: She should have divided both sides by −5. Step 3: She should have divided both sides by −5. Step 3: She should have multiplied both sides by −5.

Answers

Answer 1
Hi there! Her mistake is in step 1.

She subtracted -25 by 25. -25 - 25 = -50

What she SHOULD have done was add 25 to each side. This obeys the property of reciprocals.

-25 + 25 = 0

Hope this helps.

:)
Answer 2
Have you tried solving x yourself to possibly identify the error? 

We know that if we have something like 
2x - 3 = 2 and to solve for x, we have to get x alone as much as we can.  We have to take the opposite of -3 (which is +3) and add it to both sides of the equations
2x - 3 + 3 = 2 +3 , what that does is cancel out the three on both sides.

For this situation Erica has -5x -25 = 78 the first step she took to try and get x alone as much as she could was to subtract 25 on both sides, which is wrong!!
-5x - 25 - 25 = 78 -25 does not cancel 25 on the left hand side. In fact it doubles it.

So Erica messed up on step 1. She should have added 25 on both sides. 

Related Questions

7,000 is ten times as much as what number?

Answers

The answer is:  " 700 " .
_____________________________________________
Explanation:
_____________________________________________
To find the answer:  7,000 ÷ 10 = 700 .
_____________________________________________
The answer is:  " 700 " .
_____________________________________________
Note:  " 700 * 10 = 7,000 " .
_____________________________________________

At 5 a.m., the temperature at an airport was −9.4°F . Six hours later, the temperature was 2.8°F . Which expression represents the total temperature change over the six hours?

I need help with this now!

Answers

-9.4 + x6 = 2.8 this is an equation for the question

Answer:

(-9.8 + x) = 2.8

Step-by-step explanation:

The temperature at an airport at 5:00 am was -9.4° F.

Six hours later the temperature was 2.8° F.

Let temperature change in the 6 hours is = x° F

Then the temperature after six hours from -9.8° F will be = (-9.8 + x)° F

And the expression representing the change will be

(-9.8 + x) = 2.8

How to graph the function. compare the graph with the graph of f(x)=x

Answers

to graph this function, plot the y-intercept at 6. Then, continue plotting points that go up and over one. Some points are (1,7) (2,8) etc.

Compared to f(x) = x, it vertically shifted 6 up.

Hope this helped!

Why is 101 not in the sequence?

Answers

You are moving up in 4's, so your sequence should always be even, it can never be odd so 101 can never be part of the sequence.

Which statement best defines a universal law

A. It is in fact some of the time

B. It is in effect at all times

C. It changes over time

D. It operates only under specific times

Answers

Answer: B. It is in effect at all times.

Explanation:
By definition, a universal law is immutable, meaning that it does not change and it is in effect at all times. 

This definition should be appled within the scope of what "universal" means.
For example, the law of "Cause and Effect" is stated in physics by Newton's third law: To every action, there is an equal and opposite reaction.  

Discussion:
Our perception of the universe is limited usually to our solar system, within a physical and material universe. We cannot be certain that our accepted universal laws apply in the same manner in a nonmaterial or spiritual universe.
The term universal law is mostly used in law and ethics and describes law or principle that is universal acceptable, applicable and translated. The universal law is the most legitimate law.
According this explanation, the following statement best defines a universal law:
B. It is in effect at all time.

Which of the following represents two lines that are coplanar and do not intersect?

A. Perpendicular
B. Skew
C. Parallel
D. Intersecting

Answers

Parallel is the answer 
Perpendicular and intersecting lines both have and intersection point 
Skew lines don't interest but they are not coplanar 
Final answer:

Two lines that are coplanar and do not intersect are called parallel lines. This means they exist within the same plane and while they never meet, they continue indefinitely in the same direction.

Explanation:

Of the given options: Perpendicular, Skew, Parallel, and Intersecting, the term that represents two lines that are coplanar (existing in the same plane) and do not intersect is Parallel. A brief explanation of each option: A. Perpendicular lines are coplanar and do intersect at a right angle. B. Skew lines are not coplanar, hence they do not intersect nor are they parallel. C. Parallel lines are coplanar and do not intersect at any point. D. Intersecting lines are coplanar and do cross at some point.

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HOW DO I SOLVE THIS 1/5(6+3+1)2

Answers

First clear the bracket
1/5(6+3+1)2
1/5(10)2
Then multiply
1/5(20)
1/5 *(20)
20/5
=4

Hope it helps!

The perimeter of the rectangular base of a monument is 210.5 feet. If the width is equal to its​ length, what are the dimensions of the​ base?

Answers

Final answer:

The length and the width of the base of the square monument are both 52.625 feet.

Explanation:

The question is asking for the dimensions of the base of a monument that has a rectangular shape and a total perimeter of 210.5 feet. Given that the length and width are the same (as it's a square), this implies that both the length and the width of the square are each half of the total perimeter.

We start by dividing the perimeter by 4, as the perimeter of a square is the sum of all four of its sides. So, the length or width of the base of the monument is 210.5 ft / 4 = 52.625 ft.

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a
[1] Angle Addition Postulate[2] Subtraction Property of Equality
b
[1] Substitution Property of Equality [2] Transitive Property of Equality
c
[1] Segment Addition Postulate [2] Definition of Congruent Segments
d
[1] Segment Addition Postulate[2] Substitution Property of Equality

Answers

The answer is D. First, it is the segment addition postulate because the two segments make up the whole. Second, it's substitution because you are substituting EF + FG for FH.

Hope this helps!

Answer:

d:(1)Segment addition Postulate

(2).Substitution Property of equality.

Step-by-step explanation:

We are given that

EG=FH

We have to write a justification for each step.

1.EG=FH

Given information

2.EG=EF+FG

Segment addition Postulate

3.FH=FG+GH

Segment addition postulate

4.EF+FG=FG+GH

Substitute property of equality

[tex]EF=GH[/tex]

Subtraction property of equality

Answer:d:(1)Segment addition Postulate

(2).Substitution Property of equality.

A triangle has one angle measuring 3x degrees. A second angle measures 2x + 20 degrees and the third angle measures 4x -20 degrees. What is the value of x

Answers

Answer:

20

Step-by-step explanation:

the comment below or above me has everything right except one thing. 4 plus 2 plus 3 equals 9, Not 10. 180 divided by 9 equals 20 and there's your answer

The value of x = 20.

We have the three angles of a triangle.

We have to measure the value of x.

Th sum of all the angles of a triangle is ?

The sum of all the angles of a triangle is 180°.

According to the question, we have -

∠1 = 3x

∠2 = 2x + 20

∠3 = 4x - 20

The sum of all the angles of triangle is 180°. Therefore -

3x + 2x + 20 + 4x - 20 = 180

9x = 180

x =20

Hence, the value of x = 20.

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How many pairs of whole numbers have a sum of 99

Answers

Listing each pair could be one way to work this out

1 + 98
2 + 97
3 + 96
4 + 95
5 + 94
6 + 93
7 + 92
8 + 91
9 + 90
10 + 19

Keep going until we get to the point where the pairs of numbers start to reverse

48 + 51
49 + 50
51 + 48 ⇒ Here when the pairs start to reverse.

From 1 + 98 to 49 + 50 there are 49 pairs
Then from 51 + 48 to 98 +1 there are 48 pairs

Total pairs of whole numbers that add up to 99 is 49 + 48 = 97 pairs



Complete the factoring
7y+42=7()

Answers

7y + 42 = 7(y + 6)

Hope this helps.
7y+42=7
+42 +42
7y=49
%7 %7
Y=7 that's the answer

Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s).


A scientist measures the diameter of a bacteria cell and yeast cell. She finds the diameter of a bacteria cell to be 0.0000021 meters and the diameter of a yeast cell to be 0.00000398 meters.

The approximate diameter of the bacteria cell is represented by point ----------
on the number line.
The approximate diameter of the yeast cell is represented by point -----------
on the number line.
The diameter of the bacteria cell is approximately ----------
times smaller than the diameter of the yeast cell.

Answers

Since there are 5 zeros after the decimal point in front of the 21, 0.0000021=2.1*10^(-6) (by moving the decimal 6 places to the right, and we have 6 instead of 5 because we have to account for moving the 2 in front of the decimal too). For 0.00000398, we can use a similar process to get 3.98*10^(-6). Since 2.1 rounds to 2 (since 1<5) and 3.98 rounds to 4 (since 9>5), we have the approximate diameter of the bacteria cell be 2*10^(-6) and the yeast cell be *10^(-6)

Since we want to find how many times smaller the bacteria cell is,. we divide the bacteria cell by the yeast cell to get (2*10^(-6))/(4*10^(-6))=1/2=2/4, meaning that the bacteria cell is half as big as the yeast cell and the yeast cell is 2 times as big as the bacteria cell (since the reciprocal of 1/2 is 2)

The approximate diameter of the bacteria cell shows that it would be best represented on the number line by point 2 x 10⁻⁶.

The approximate diameter of the yeast cell is best represented by the point 3 x 10⁻⁶.

Compared to the yeast cell, the approximate diameter of the bacteria cell is approximately 2 times smaller.

What points best represent the diameters of the yeast and bacteria cells?

To find the power of 10 that the first whole number needs to be multiplied by, count the number of zeros and the whole number.

The number of zeros and the first whole number for 0.0000021 is 6 so this is the number to multiply 10 by:

=  2 x 10⁻⁶

The same would apply to the number 0.00000398 as there are also five zeros so it becomes:

= 3 x 10⁻⁶

How much larger than the bacteria cell is the yeast cell?

You can find this as:

= Diameter of yeast cell / Diameter of bacteria cell

= 0.00000398 / 0.0000021

= 1.89

= 2 approx.

Find out more on the bacteria cell at https://brainly.com/question/3024933.

the perimeter of a rectangle is 332 cm and the width is 76 cm. Find the rectangle's length

Answers

332/2 =166

166-76 = 90

length = 90 cm



what does (-7)^2 eaqual??

Answers

[tex](-7)^2 = (-7)(-7) = 49[/tex]

So, 49 is the answer.

What is the product of 0.4 and 2.5

Answers

.4 × 2.5 = 1. product means multiply / sum would be addition
the product of 0.4 x 2.5 equals to 1. 

One movie club charges a $100 membership fee and $10 for each movie. Another club charges no membership fee but movies cost $15 each. Write and solve an equation to find the number of movies you need to buy for the cost of each movie club to be the same.

HELP!!!

Answers

The first movie club is
y=10x+100
The second movie club is
y=15x
You can set them equal to each other getting 15x=10x+100
Subtract the 10x from both sides
5x=100
X=20 or the number of movies needed to make the amount be the same is 20 movies

Giving away brainliest (assuming there is more than one person answering, of course)
Basic Cookie Recipe:
1/2 cup shortening. 1/2 teaspoon baking soda
1/2 cup butter 2 cups chocolate chips
2 1/2 cups flour. 1/3 cup cocoa
1 cup brown sugar. 1 teaspoon vanilla
1/4 cup granulated sugar

To enrich Choco flavor, you want to add more cocoa to the recipe. Because cocoa is bitter, you need to increase the amount of GRANULATED sugar in the recipe. Write an equation to describe how the amount of GRANULATED sugar, s, in the recipe relates to the amount of cocoa, c. If the amount of cocoa is tripled, how much more granulated sugar should you add? Explain reasoning (or not, but please).

Answers

1/3 cup of coco and  1/4 cup granulated sugar 

i say you just add 1/3 add one more third and you wont have to add any more sugar are there any answer choices im sorry if i didnt help if there are any answer choices i could answerin the comments please mark me brainliest please

elvin read 3/7 of the pages of the book he has 56 pages left to read how many pages has he already read

Answers

3/7 = x/56
7*8 =56
3*8 = 24

(-8x) divided by (-2)

Answers

the answer is 4x hope this helps


dave has 30% off coupon for pair of jeans priced at $78.95. he will also have to pay a 6% sales tax and a 1% local option tax at the register. how much will he have to pay for the jeans?(p.s. please work it out in detail, so I can get a better understanding instead of just putting the answer. )

Answers

Hey! Hope that I can help.

Answer:

$59.13355 ≈ $59.14

Step-by-step explanation:

Marked Price = $78.95

Discount @ 30% = 0.30 x $78.95

                           = $23.685

Selling Price = Marked Price - Discount

                     = $78.95-$23.685

                     = $55.265

Sales tax @ 6% = 0.06 x $55.265

                         = $3.3159

Local Option Tax @ 1% = 0.01 x $55.265

                                      = 0.5526

Hence Billing amount = Selling Price +Sales tax + Local Option Tax

                                    = $55.265 + $3.3159+$0.5526

                                    = $59.13355

                                    ≈ $59.14

what is 3x - 7 = 8x +23

Answers

3x-7 = 8x +23
-3x. -3x
-7= 5x+23
-30=5x
X= -6

solve -3.2=2.5+1.2m

Answers

-3.2=2.5+1.2m
-2.5 -2.5
------
-5.7/1.2= -4.75

m= -4.75

write the chemical symbol for the ion with 12 protons and 10 electrons

Answers

MG+2 your welcome :)

How do you solve this 2/5c+4-1/5c= -9

Answers

Final answer:

To solve the equation 2/5c + 4 - 1/5c = -9, eliminate the fractions and simplify. Find a common denominator, combine terms, and solve for c. The solution is c = 0.

Explanation:

To solve the equation 2/5c + 4 - 1/5c = -9, we need to eliminate the fractions and simplify the equation.

First, find a common denominator for the fractions, which is 5c:

Multiply the entire equation by 5c:2c + 20c - c = -45c

Combining like terms:

21c = -45cAdd 45c to both sides:21c + 45c = 0

Combine the terms on the left side:

66c = 0;Divide both sides by 66 to solve for c:c = 0

Therefore, the solution to the equation is c = 0.

Would you be more or less likely to take a job in which the type of work is enjoyable to you? Why?

Answers

more likely because you are doing a job that you enjoy doing.

Help!! 12am = 4, solve for a!! (literal equations)

Answers

12am=4 , for a okay get a by itself. am=4/12 a=4/12/m
a= 1/3m and start by dividing both sides by 12

A bus service drives passengers between Milwaukee and Chicago every day. They travel from city to city eight times each day. The distance between the two cities is 89 miles..In February there are 28 days. The company's budget allows for 28,000 total miles for February. Do you think the budget is reasonable? Explain

Answers

First calculate the total distance covered each day:

distance per day = 89 miles * 8 = 712 miles / day

 

Then calculate for the whole month (28 days):

distance = 712 miles / day * 28 days = 19,936 miles

 

Since the actual distance is lesser than the budget, hence it is reasonable.

alexis divided a 1 3/4 pound bag of apples among 3 friends. how many pounds of apples did each friend receive?

Answers

1 pound ÷ 3 friends = 1/3 pound per friend

then 3/4 apples split between 3 friends = 1/4 pound per friend

turn those into decimals 1/4 = 0.25
1/3 = 0.33 now add, 0.25 plus 0.33 equals 0.58 pounds of apples are given to each friend.

in fraction form that would be 58/100 or 29/50 and that's as low as the fraction can go.

Since Alexis divided a 1 3/4 pound bag of apples among 3 friends, the pounds of apples that each friend receives is 7/12 pounds.

Number of pounds of bags of apple to share = 1 3/4

Number of friends to share the apple = 3 friends

Therefore, in order to get the number of pounds of apples that each person gets, we'll need to divide 1 3/4 by 3 and this will be:

= 1 3/4 ÷ 3

= 7/4 ÷ 3

= 7/4 × 1/3

= 7/12

Therefore, the pounds of apples that each friend receives is 7/12 pounds of apple.

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Rachel flips a coin 150 times and finds that the probability of the coin landing heads up is Rachel wants to flip the same coin 15 more times. On the first 14 flips, the coin lands heads up. Which statement best describes the probability of the coin landing heads up on the 15th flip?


a.The probability of the coin landing heads up is



b.The probability of the coin landing heads up is 1.



c.The probability of the coin landing heads up is



d.The probability of the coin landing heads up is

Answers

every coin flip, it has a 1/2 probability of landing on heads.

 it doesn't matter what the flips were before it.

Probability is 1/2

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