Mathematics Middle School

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

6-grade math best answer gets brainlyest

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Point A to Point B - 9 units
Point C to Point D - 6.5 units

What is the absolute deviation of 16 in this data set?{19, 16, 4, 9, 7}2578

Answers

The absolute deviation of 16 in the given data set, {19, 16, 4, 9, 7}, is: B. 5.

What is Absolute Deviation?

The absolute deviation of a data point in a data set, is the distance of that data point from the mean of the data set.

Find the mean of the data set:

Mean = (19 + 16 + 4 + 9 + 7)/5 = 55/5

Mean = 11

16 - 11 = 5

Therefore, the absolute deviation of 16 is: B. 5.

Learn more about the absolute deviation on:

https://brainly.com/question/17381861

#SPJ2

Answer:

11

Step-by-step explanation:

I took the k12 test hope this helps! :)

Use the permutation formula to solve a problem when

P = n! C = n!
ⁿ ʸ ------ ⁿ ʳ ---------
(n-r)! r!(n-r)!


(i couldnt download the photo of the formula but i tried to do my best of making it out ;u;)

__

A. 1.36

B. 54

C. 3,276

D. 32,760

Answers

B B B B B B B B B B B B B B B B B

Click on all of the statements you want to select. You must select all correct statements.

The original price of four shirts and the amount each shirt will be discounted are presented here.

After these discounts, which statements will be true?

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Answer:

f and h try it but i dont know

Step-by-step explanation:

Nathan wants to solve this puzzle ; ‘’ i am thinking of a number . if you divide my number by 3 and add -3 . you will get 4. What is my number?’’ show all of your work

Answers

[tex] \frac{x}{3} - 3 = 4[/tex]

[tex] \frac{x}{3} = 7[/tex]

[tex]x = 7 \times 3 = 21[/tex]

Sofia's family took a road trip to Mount Rushmore. Sofia slept through the last 65% of the trip. If the total length of the trip was 840 miles, how many miles had they travelled when Sofia fell asleep?

Answers

Answer:

546

Step-by-step explanation:

Sofia slept 546 miles and was awake for 45% which is 294 of the miles.

You can find this by finding 1%, and that would be 8.4. (You get 1% from dividing 100 from the 100% number.) Then you multiply it by 65 so now you get 546.

If the total length of the trip was 840 miles, then Sofia had traveled 294 miles before she fell asleep.

Given that,

If Sofia slept through the last 65% of the trip and the total length of the trip was 840 miles,

then she stayed awake for the first 100% - 65% = 35% of the trip.

Here, we have to calculate the distance she traveled before falling asleep, we can use the percentage of the total distance:

Distance traveled by Sofia = 35% of 840 miles

Distance traveled by Sofia = 0.35 * 840

Distance traveled by Sofia = 294 miles

So, Sofia had traveled 294 miles before she fell asleep.

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brainly.com/question/13450942

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help help!!
Lucy was watching her brother's team play baseball in the town playoffs. A man selling raffle tickets posed a challenging question to the crowd. He asked if anyone could figure out the area of the shaded half of the baseball field. Help Lucy figure out the answer by using the drawing below. please explain how you got your answer!

Answers

Step-by-step explanation:

Area is Base x Height right?

so, the base of the triangle would be 90 ft and the height would be 90 ft!

So 90 x 90 = 8,100 ft!!

This is how I think, so it may be wrong, but this is how I do it!

answer:

a=1/2×b×h

a=1/2x90×90

a=45×90

a=4,050 ft.

in simpler terms....

90×90=8100

this is the area of the ENTIRE FIELD so to find half divide by two 8100÷2=4,050.

4,050 ft.

GOOD LUCK!!!

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

can someone help me with what to write/draw?

Answers

Answer:

x= 3/2

Step-by-step explanation:

4x+17-17 = 23-17

4x = 6

4x/4 6/4

4x/4 = 6/4

x = 6/4  (Simplify)

x = 3/2

Answer:

x=1.5

Step-by-step explanation:

4x+17=23

-17       -17

4x=6

/4    /4

x=1.5

you don't need to draw anything; the diagram is just helping you visualize the problem better

hope that helps

4. Find Each Angle Measure

Answers

Answer:

Step-by-step explanation:

Complete the net worth statement. What is the net worth of the individual? A) $171,645 B) $19,950 C) $21,000 D) $26,595

Answers

Answer:

I thank it is C

Step-by-step explanation:

hope this helps if not please let me now

Answer:

C) $21,000

*Brainliest would be appreciated.

Step-by-step explanation:

HELP ASAP ILL GVIE BRAINLIEST TO THE CORRECT ANSWER

Answers

Answer:

[tex]6^5 = 6 \times6 \times6 \times 6\times 6[/tex]

Step-by-step explanation:

Hello There!!

Given, 6⁵

To Find

The number in expanded form.

Solution.

Opt. C= 6×6×6×6×6

__________________________

Reason,

Option A. is not possible.Option B. the answer will be 5⁶ or 15625 which is not possibleOption C. 6×6×6×6×6, the answer will be 6⁵ or 7776 which is possibleOption D. 5×5×5×5×5, the answer will be 5⁵ or 3125 which is not possible

Hope This Helps

please help
The leading brand of cosmetics in the US had about 20% of the total sales in the industry. The total sales were $ 200,000. What was the leading brands sales? Show your work.

Answers

Answer:

$0.52 billion

Step-by-step explanation:

Given data

We are given that the total sale in the industry is $2.6 billion

And the leading brand has about 20% of the total sale

Hence the leading brand's sale is

=20/100*2.6

=0.2*2.6

= $0.52 billion

Therefore the leading brand's sale is about $0.52 billion

Step-by-step explanation:

The fifth-grade teachers returned to school after the summer vacation and found all of the students’ desks in the hallway. The custodians agree to put all of the desks into the fifth-grade classrooms and arrange them. How could the desks in each classroom be arranged using the following student enrollment numbers?

Answers

This problem seems it can be worked in a couple different ways. But, I believe arranging the desks in rows of 6 & as many columns as needed depending on the number would be the best solution.

The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c.

The hypotenuse of a right triangle is 5 units long and has the points (4, 0) and (0, 3) as end points. One of the legs has length 4.

Use the Point and Segment tools to draw a right triangle that demonstrates the other leg length is 3.

Answers

Step-by-step explanation:

They have already done the math for you, you just need to draw a line with the length of 3 units, so it would look like this:

Sandra borrowed $38 000 for 5 years from a bank, which charges a compound interest
rate of 2% per year. How much will Sandra have to pay back in 5 years?

Answers

Divide 38,000 by 5 then that gives u 7,600 then u know that every year there are 365 days,so divide that by 5 gives u 73,find 2% of 73.
Hope it helps….. Ans is $41955.07

Answer the question in the screenshot

Answers

Answer:

a. 25

b. 2

c. 2.21

Step-by-step explanation:

Answer:

Figure 1. 25 Hours

Figure 2. 2 Hours

Figure 3. 2.21 Hours

Step-by-step explanation:

Find the function value
f(1) if f(x) = x + 3

Answers

Answer:

f(1) = 4

Step-by-step explanation:

Given:

[tex]\displaystyle \large{f(x)=x+3}[/tex]

Find f(1) by substituting x = 1 in the function f(x):

[tex]\displaystyle \large{f(1)=1+3}\\\displaystyle \large{f(1)=4}[/tex]

Hence, the solution is f(1) = 4

Algebra quadratic functions and data, please help

Answers

Answer: 60

Step-by-step explanation:

the answer is fx=60

What are the first two steps of drawing a triangle that has all side lengths equal to 12 centimeters?

Select from the drop-down menus to correctly complete the statements.

Draw a segment (6, 12, 24) centimeters long. Then from one endpoint, draw a (30, 60, 90) ° angle.

Answers

Answer:

12

60

Step-by-step explanation:

Can someone please help me please? Thanks

Answers

Answer:

DBC is 47.5

Step-by-step explanation:

Angles ABC is 180.

ABD is 132.5, so you probably have to subtract 180 from 132.5,

it is 47.5.

Sorry if it doesnt help.

Make a bell curve for the points 99, 60, 82, 78, 93, 71, 68, 86, 80, 95, 72, 64

Answers

Answer:

Make a bell curve for the points 99, 60, 82, 78, 93, 71, 68, 86, 80, 95, 72, 64 · The variables x and y have a proportional relationship, and y=7 when x=2.

Step-by-step explanation:

Donovan eats 2 granola bars and drinks 1 glass of orange juice for breakfast every day. The price of a granola bar is B dollars and the price of a glass of orange juice is J dollars. The expression 7(2B+J) describes how much Donovan spends on breakfast in one week. Match each amount in the situation with the expression that represents it.

Answers

Answer:

B. Amount Donovan spends on granola bars each day.

Step-by-step explanation:

B is the price of a granola bar, so 2B is the price of two granola bars. Donovan eats 2 granola bars each day, so if he buys them, he spends 2B per day on granola bars.

_____

Comment on the problem wording

Please be aware that the problem statement tells you only that he eats 2 granola bars each day. It does not tell you the relationship between Donovan's eating and Donvan's spending. The question asks about his spending, so there is insufficient information unless we make the assumption they are directly related.

Answer:

B. Amount Donovan spends on granola bars each day

Step-by-step explanation:

Order these numbers from least to greatest. 4.3211, 4.302, 4.32, 4.5​

Answers

4.302,4.32,4.3211, and 4.5
Always check the decimal places!

Answer:

4.302, 4.32, 4.3211, 4.5

Step-by-step explanation:

Order these numbers from least to greatest. 4.3211, 4.302, 4.32, 4.5​

Here we have:

4.3211

4.302, also written as 4.3020

4.32, also written as 4.3200

4.5, also written as 4.5000

Order from least to greatest:

4.3020

4.3200

4.3211

4.5000

4.302, 4.32, 4.3211, 4.5

Hope this helps!

1. Classify each angle pair and indicate whether they are congruent or supplementary.

Answers

Answer:

1. congruent

3. supplementary

5. congruent

A store sells grass seed in small bags and large bags. The small bags have 7 pounds of seed for $27.93 and the large bags have 20 pounds of seed for $66.98. Which type of bag is the better buy? Explain your reasoning.

Answers

Answer:

The 20 pound bag is a better by for only $66.98

Step-by-step explanation:

The large bag is better because the small bag is $27.93 for 7 pounds 7x3=21,so 3x27.93=83.79 is $16.81 more than the cost for the large bag

hope this makes sense;)

A sphere has a radius of 4.5 cm. What is the volume of the sphere? Round your final answer to the nearest hundredth.

Answers

Answer: 381.70
step by step equation: v= 4/3 pi r^3 = 4/5

The equation for the Volume of a Sphere is:

V = [tex]\frac{4}{3}[/tex]πr²

V= volumer = radius

You have been given the radius of 4.5 cm, so all you have to do is plug this information into the equation and solve!

V = [tex]\frac{4}{3}[/tex]π(4.5)²

       ↓

V = [tex]\frac{4}{3}[/tex]π × 20.25 or  V= [tex]\frac{4}{3}[/tex] × 20.25π

       ↓

V= 27π (plug this into your calculator to get your numerical value)

V≈ 84.82

QR is 45 mm. RS is one third of QR. QT is 90 mm. Find ST. HELPPPPP PLS!!!

Answers

Answer:

30

Step-by-step explanation:

Given:

QR= 45 mm

RS= 15, (1/3 of QR is 15).

QT is 90 mm

We must find ST.

Equation:

Use Segment Addition Postulate Theroem,

QR+RS+ST=QT

Subsitue the values we know

45+15+ST=90

60+ST=90

ST=30So ST length is 30 m

The answer is 30.
This is because QT is equal to all the measurements added up.
QR=45
RS=45/3
QT=90
ST=?

QR=45
RS=15
QT=90
ST=?

QR+RS=?
45+15= 60

QT-60=?
90-60=30

Therefore ST (the answer) is 30.

Please help as you can

Answers

The answer is 19.65 dollars
19.65 dollars is the answer

KA- correct answers only, thanks!

Answers

Answer:

[tex] \frac{3}{2} [/tex]

Keep in mind:

constant of proportionality = the slope

Step-by-Step Explanation:

We can see that the point is at (4, 6). In order to find the slope, we need to find a different point that intercepts a whole number point on the graph.

We have two valid points; (2, 3) and (6, 9). One way to find the slope is to subtract y-coordinate 1 (6) and y-coordinate 2 (3 or 9).

Then, subtract x-coordinate 1 (4) and x-coordinate 2 (2 or 6).

[tex] \frac{6 - 3}{4 - 2} = \frac{3}{2} [/tex]

OR

[tex] \frac{6 - 9}{4 - 6} = \frac{ - 3}{ - 2} = \frac{3}{2} [/tex]

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