Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made. (5 points)

−5x − 25 = 78
Step 1: −5x − 25 − 25 = 78 − 25
Step 2: −5x = 53
Step 3: = -5x/-5=53/-5
Step 4: x = -53/5

Answers

Answer 1

−5x − 25 = 78

Step 1: −5x − 25 − 25 = 78 − 25        WRONG

- 5x - 25 = 78

- 5x - 25 + 25 = 78 + 25

- 5x                  = 103

x = - 103/5

x = - 20,6

Answer 2

Answer:

Step-by-step explanation:

−5x − 25 = 78

Step 1: −5x − 25 − 25 = 78 − 25  <== this is where the error was made.

Step 2: −5x = 53

Step 3: = −5x/−5=53/−5

Step 4: x = −53/5

Right steps:

−5x − 25 = 78

Step 1: −5x − 25 + 25 = 78 + 25

Step 2: −5x = 103

Step 3: −5x/−5 = 103/−5

Step 4: x = 103

Step 1 was where the error was, because she subtracted 15 from both sides instead of adding 15, so they cancelled out.

Hope this helps!


Related Questions

A customer must choose a color of wrapping paper and gift box type for gift wrapping at a store. The table shows the customer’s options.

Wrapping Paper Color
red (R)
silver (S)
yellow (Y)

Gift Box Type
regular (G)
premium (P)

Which list shows the complete sample space of choosing a wrapping paper color and gift box for the gift?

A)GR, GS, GP, GY

B)PG, PR, PS, PY

C)RG, RP, RS, SG, SP, YG, YP, YR, YS

D)RG, RP, SG, SP, YG, YP

Answers

Answer:

The answer is D

Step-by-step explanation:

Red-Regular

Red - Premium

Silver-regular

Silver-premium

Yellow-regular

Yellow-Premium.

This all shows the space of choosing the color and gift box for the gift.

Because of the description.

If this answer is right pls give brainlest.

The answer is D.

You’ll match each wrapping color paper to a gift box type once. Meaning,

Red (R) - regular (G)
Red (R) - premium (P)

Silver (S) - regular (G)
Silver (S) - premium (P)

Yellow (Y) - regular (G)
Yellow (Y) - premium (P)

Ryan has a bag that contains strawberry chews, cherry chews, and watermelon chews. He performs an experiment. Ryan randomly removes a chew from the bag, records the result, and returns the chew to the bag. Ryan performs the experiment 37 times. The results are shown below:

A strawberry chew was selected 8 times.

A cherry chew was selected 12 times.

A watermelon chew was selected 17 times.


Based on these results, express the probability that the next chew Ryan removes from the bag will be cherry or watermelon as a decimal to the nearest hundredth.

Answers

Answer:

32.43%

Step-by-step explanation:

Since there are a total of 37 tests and cherry was selected 12 times, the probability would be 12/37.

12(100/37)

32.43

The probability that it will be a cherry or watermelon is; P(Cherry or water melon) = (12 + 17)/37 = 0.51

How to find the Probability?

We are told that Ryan performs the experiment a total of 37 times.

From the experiment he got;

Strawberry = 8 times

Cherry = 12 times

Watermelon = 17 times

Thus, probability that it will be a cherry or watermelon is;

P(Cherry or water melon) = (12 + 17)/37 = 0.51

Read more about Probability at; https://brainly.com/question/251701

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The double number line shows the approximate number of ounces in a certain number of pounds:
Based on the number line, how many ounces are there in 8 pounds?

128 ounces
144 ounces
160 ounces
176 ounces
PLEASE HELP!!!!!

Answers

Answer:

128 ounces???

Step-by-step explanation:

128 ounces. I believe is the answer

PLEASE ANSWER ITS URGENT ILL GIVE BRAINLIEST

Answers

Answer:

88.1

Step-by-step explanation:

using similarity and enlargement

19/11=x/51

note x is the unknown side

969=11x

x= 88.0909...

Here is your answer

please help me asap.

Answers

Answer:

a=8.8 kg

b=3.3 kg

c=2.49 kg

Step-by-step explanation:

A=8.8kg
B= 3.3kg
C=2.49kg

Which situation could NOT represent a proportional relationship?

Answers

Answer: D
Explanation: to find whether two instances are proportional, find the rate of change for each situation. Simply divide both numbers from both situations and if the numbers are not the same they are not proportional.
Yes they are right it is D

What is the mode of the data set below?
102, 56, 77, 102 81, 72, 55

A.46
B.56
C.77
D.102

Answers

Answer:

102

Step-by-step explanation:

mode is the number that appears the most often.

Answer:

102

Step-by-step explanation:

The mode means the number that repeats the most in a set of numbers.

102, 56, 77, 102, 81, 72, 55

The number that repeats 2 times is 102.

A truck drove 208 miles on 5 gallons of gas. How far should it be able to go on a full, 11-gallon tank?

Answers

Answer:

457.6

Step-by-step explanation:

if he drove 208 on 5 gallons, 208/5 =41.6 miles per gallon. 41.6*11= 457.6

Answer:

457.6 miles

Step-by-step explanation:

So 208 miles equals 5 gallons so if you add 208 two times you will already have used 10 gallons and that equals 416 miles so far. So now you have to divide 208 by 5 and that equals 41.6 so 416 plus 41.6 equals 457.6 miles

After 5 years, $40,000 deposited in a savings account with simple interest had earned $26,000 in interest. What was the interest rate?

Answers

Answer: The answer is 13% interest rate.

Step-by-step explanation: first divide the interest money by the number of years (or months it doesn't matter) which would get you 5200 then you would divide 5200 by the amount of money deposited into the bank (40,000) which should give you 0.13 or 13%

26,000 / 5 = 5,200

5,200 / 40,000 = 0.13 = 13%

If this helped you please consider giving me brainliest!

Have a good day! :)

The table shows the amount of money that each student each spent at an amusement park. Which measure best represents the center of the data?

Answers

The median because you can remember it by medium is the middle
Median which is Ingrid $30

I need a quick answer please, I will give Brainliest

Answers

Answer:

Percent: 140, 275, 0.08

Fraction: 16/25, 1 2/5, 2/25

Decimal: 0.64, 12.5, 0.125, 2.75

Step-by-step explanation:

0.08 = 8%

(BRAINLIEST TO BEST ANSWER!)
How do you write 254,456 in expanded form?

Answers

200,000+50,000+4,000+400+50+6

please answer this asap and please show work.

Answers

So it is C because when you use rise over run, then you just look at the line were the line crosses trough the caskets and then you see that rise is 1 and run is two so it is 1/2 but if you convert the fraction into a decimal, the. It will be 0.5. The b is we’re the line goes trough the y-axis. So y=1/2+4 but you have to convort it into a decimal and it will be C y=0.5x+4. You welcome

(20 POINTS PLS HELP!!)

Answers

The answer is d good luck

Answer:

D. QY

Step-by-step explanation:

Perpendicular means at a 90 degree angle, and QY is at a 90 degree angle to LD

What is

(\frac{-7c}{p3})^-4[/tex]

without negative exponents

Answers

Can you take a pic of it because it shows as copy and paste

The value of a share of stock decreases in value at a rate of $1.10 per hour during the first 3.5 hours of trading. Enter and solve an equation to find the decrease in the value of the share of stock during that time. Let x represent your variable.

The equation is ??? = 1.10

The decrease in the value of a share during 3.5 hours of trading is $???.

Answers

Answer:

The decrease in the value of a share during 3.5 hours of trading is $3.85.

O Mr. Math S. Fun is looking for his missing pair of
socks. He had 8 pairs from the beginning. 1 red pair,
3 blue pairs, 4 green pairs. He uses 7 pairs last week

and he knows he has a pair of socks remaining. He
left clues on what he used each day last week, help
him which among his socks missing?

Answers

Answer:

HHe is wearing the 8th pair

AnswerStep-by-step explanation:

The data shows the number of products an assembly line creates each hour for 7 randomly selected hours.53,65,81,90,72,55,95
What is the range of the data set?

Answers

Answer:

The Answer is 42, in order to find the range of a data set you subtract the biggest number and the lowest number.

Step-by-step explanation:

In order to find the range of a data set you subtract the biggest number and the lowest number.

What is the solution set of the inequality below?
A .y greater than negative 33
B. y less than 33
C. y less than negative 33
D .y greater than 33

Answers

Your answer is C

Step-by-step explanation:

Multiply -33 x 11

B. y less than 33 is the solution set .

how do you express 11/20 as a percent

Answers

Answer:

The answer is 55%

1. 11÷20= 0.55

Now that the number is a decimal, we multiply 0.55 and 100 to get our result.

0.55 x 100 = 55%

i need helppppppppp T^T

Answers

Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because the cube of 4 is 64 and in cubing we could use either positive or negative numbers.

Please answer the question!

Answers

Answer:

62 degrees

Step-by-step explanation:

if they are complementary that means the angles ad up to 90, and all you have to do is subtract 90-28=62 degrees

Answer:

152

Step-by-step explanation:

a complimentary angle are 2 angles that add up to 180. therefore, we can subtract 28 from 180 ang get 152

5. Find the thickness of each layer. Use the data to determine the percentage of the total
height of the atmosphere each layer occupies.
• Determine the thickness of each layer by subtracting the lowest altitude from the highest
altitude.
• Divide the layer thickness by the total thickness of the atmosphere. Then, multiply by 100.

please answer fast!!

Answers

Answer:

Exosphere - 10,000 kilometers thick

Thermosphere - 513 kilometers

Mesosphere - 2200 km

Stratosphere - Depends, but most occurring thickness is 50km

Troposphere - 8-14km

Step-by-step explanation:

Double check and verify this information with your lesson since honestly the numbers could very well differ depending on your lesson and when they were taken. I hope this helps though..have a good one

You have 5 green marbles, 6 red marbles, 1 white marble and 3 yellow marbles in a bag. What is the probability of selecting a non-white ball?

Answers

Answer:

I would say 98% chance

Step-by-step explanation:

if this helps you pls give me brainliest

Answer:

green 5/15

red 6/15

white 1/15

yellow 3/15

the probability of selecting a non-white ball is 14/15

Step-by-step explanation:

3. Which two integers are 7 units away from the number 5 on a number line?
A. -2 and 2
B. -2 and 7
C. -7 and 7
D. -2 and 12

Answers

Answer:

2B

3D

Step-by-step explanation:

2A is

a/b + -a/-b = a/b + a/b = 2a/b

this is NOT 0/0. you can't add numerator and denominator. when you have the same denominator, you can only add the numerator.

and don't forget : -×- and -/- are both + !

2B

you do not multiply anything. you ADD (but again NOT the denominators) !

and +×- or +/- = - !

overall this this adding a negative number to the same positive number. the result : always 0

2C

cannot be added like that. first you would have to bring both to a common denominator. but then you ADD !

2D

very similar to 2C.

3

5 + 7 = 12

5 - 6 = -2

these are the 2 integers 7 units away from 5.

The answer is C. -7 and -7

HELP! GIVING BRAINLIEST IF ANSWERED CORRECTLY AND FOR EACH SECTION!!!
Use the diagram below, if m∠AEC=41°, find each angle measure

Answers

Answer:

[14] 139

[15] 90

[16] 41

[17] 49

[18] 139

[19] 131

Step-by-step explanation:

[14] Since m ∠ CEB is vertical with m ∠ AED = 139

[15] Knowing that m ∠FBD = 90 degree then m ∠ CEF = 90 degree

[16] Since m ∠ DEB is vertical to m ∠ADC Thus answer = 41

Note: vertical angles are angles opposite each other where two lines cross.

[17] Since m ∠ FED = 90 degree and m ∠ DEB = 41 then 90 - 41 = 49

[18] To Find m ∠CEB we have to subtract from m ∠ DEB

180 - 41 = 139

[19] Knowing that m ∠ FED = 90 degree and m ∠DEB = 41

Then m ∠ AEF =  90 +41=131

~Lenvy~

Would you mind helping please

Answers

Answer:

So Number 1 is 4

Number 2 is 2

(Not sure about 3)

Number 4 is 54

(Not sure about 5)

Number 6 is

Step-by-step explanation:

Number 1: He needs 5x3 to get 15 balloons, but since he need more than provided, he needs one more pack.

Number 2: He played 2 rounds, and each round got 4 points, 4x2=8.

Number 4: If she had 8x8=64, and subtracted 10, she has 54.

Number 6: So you should make the fractions improper fractions, (fractions that have a numerator thats more than the denominator) so 2 1/4 = 9/4 and 3 1/4 = 13/4 and then multiply 13 x 9= 117 and then 4x4= 16 so you have 117/16 and then when you simplify it you get: 7 5/16

Hope this helps and also for the other questions I think someone else can get those :)

write the absolute value equations in the form |x-b|=c (where b is a number and c can be either number or an expression) that have the following solution sets. Two solutions: x=2, x=14.

Answers

Answer:

Write the absolute value equations in the form

x−b

=c (where b is a number and c can be either number or an expression) that have the following solution sets.

Chapter Reference

a

Two solutions: x=2, x=14.

Step-by-step explanation:

The absolute value equations in the form |x-b|=c is 6.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

Two solutions are x=2 and x=14

Now,

To write an absolute value equation that has these solutions, we need to find a common value of b and c that satisfy the property above. One possible way to do this is to find the midpoint and the distance between the two solutions. The midpoint is the average of the two solutions, and the distance is half of their difference. The midpoint will be the value of b, and the distance will be the value of c.

Using this method, we get:

b = (2 + 14) / 2 = 8

c = (14 - 2) / 2 = 6

Therefore, by the given equation the answer will be 6

Learn more about equations here;

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Which scenarios can be represented by a ratio of 4 : 5 ?

Answers

4 girls to 5 boys would be an appropriate scenario

There are  8 apples and 10 oranges in a basket.  In this scenario, we can see that ratio of apples to oranges is 4:5.

What is the ratio?

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

A ratio is a fraction that may compare part to whole or part to part. For example, suppose in a class, the ratio of boys to girls is 4 to 5. It means that the number of boys divided by the number of girls is a fraction that, in its simplest form, equals 4 over 5.

Same as there are 8 apples and 10 oranges in a basket. this is also represented perfectly in terms of ratio.

Therefore, In a basket, there are 10 oranges and 8 apples. We can observe that the ratio of apples to oranges in this situation is 4:5.

Learn more about ratios here:

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The temperature at 6:00 P.M. was 68°F. This was 5°F lower than the temperature at 3:00 P.M. The temperature at 1:00 P.M. on that day was 3°F higher than the temperature at 3:00 P.M. What was the temperature at 1:00 P.M.?

Answers

76 degrees Fahrenheit
68+5 = 73, 73+3 equals76 degrees

Your answer is 76°F
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