Celia uses the steps below to solve the equation Negative StartFraction 3 over 8 EndFraction (negative 8 minus 16 d) + 2 d = 24.


Step 1 Distribute Negative StartFraction 3 over 8 EndFraction over the expression in parentheses.
3 minus 16 d + 2 d = 24
Step 2 Simplify like terms.
3 minus 14 d = 24
Step 3 Subtract 3 from both sides of the equation.
Negative 14 d = 21
Step 4 Divide both sides of the equation by –14.
d = StartFraction 21 over negative 14 EndFraction = Negative three-halves = negative 1 and one-half

Which corrects the error in the step in which Celia made the first error?
In step 1, she should have also distributed Negative StartFraction 3 over 8 EndFraction over 2d, to get 3 minus 16 d + (negative three-fourths d) = 24.
In step 1, she should have also distributed Negative StartFraction 3 over 8 EndFraction over –16d, to get 3 + 6 d + 2 d = 24.
In step 3, she should have added 3 to both sides of the equation to get Negative 14 d = 27.
In step 3, she should have first divided both sides by –14 to get 3 + d = 24

Answers

Answer 1

The error in the steps is that In step 1, she should have also distributed -3/8  over –16d, to get 3 + 6 d + 2 d = 24

Simplifying linear equations

Given the following equation as shown below

-3/8(-8-16d)+2d = 24

Step 1 Distribute -3/8 over the expression in parentheses

3 + 6d + 2d = 24

Simply the like terms

3 + 8d = 24

Subtract 3 from both sides of the equation.

8d = 24 - 3

8d = 21

d = 21/8

Hence the error in the steps is that In step 1, she should have also distributed -3/8  over –16d, to get 3 + 6 d + 2 d = 24

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Related Questions

janet buys 12 pencils for $1.49. what is the cost per pencil?

Answers

Answer:

0.124$

...............

you can simply divide the price of the pencils = 1•49$

by the number of pencils bought = 12

1•49/12

= 0•124$

Answer: 0.124166667 U.S. dollars

((1 U.S. dollar) + (49 U.S. cents)) / 12 =

0.124166667 U.S. dollars

whats -5( a -6)+2a ?

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Answer:

a is 4 and A is 7

Step-by-step explanation:

Answer:

89443

Step-by-step explanation:

Find the value of 9x-5 given that – 2x-3=5.
Simplify your answer as much as possible.

Answers

Answer:

The value of 9x - 5 is -41.

Step-by-step explanation:

-2x - 3 = 5

-2x = 5 + 3

-2x = 8

x = -4

9x - 5

= 9(-4) - 5

= -36 - 5

= -41

Chad likes to play Bingo at the nearby American Legion Hall. One day he goes into the hall with $14 in his pocket. When he comes out, he has no money left and owes his friend Greg $3.

1. How much money did Chad lose that night?

2. At home, Chad finds $5 in the kitchen drawer. If you include the $3 he owes Greg, how much does Chad have, total?

Answers

Answer:

1. $17

2.$2

Step-by-step explanation:

Answer:

1)14+3=17

2)5-3=2

PLS HELP 30 PTS!!!Use the coordinate plane to help you identify the length of each leg then use the Pythagorean Theorem to find the length of CD

Type your answer in the box.

Note: Type in only numeric part of the answer. Round your answer to the nearest hundredth.

Example: 12.70

Answers

Answer:

it says 15 points not 30

Step-by-step explanation:

Answer:

10.30

Step-by-step explanation:

Pythagorean Theorem is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex].  The short leg(a) is 5 units long and the long leg(b) is 9 units long.  CD is the hypotenuse, the longest side (c).

[tex]5^{2}[/tex] +[tex]9^{2}[/tex] =[tex]c^{2}[/tex]

25+81=[tex]c^{2}[/tex]

106=[tex]c^{2}[/tex]

[tex]\sqrt{106}[/tex] = [tex]\sqrt{c^{2} }[/tex]

10.29563014 = c

Rounded to the nearest hundredth, 10.30

To check this is correct, the hypotenuse is the longest side, and 10.30 is longer than 5 and 9.  

Last year, Isabel opened an investment account with 6600 . At the end of the year, the amount in the account had decreased by 24.5%. How much is this decrease in dollars? How much money was in her account at the end of last year?

Answers

Answer:

a. $1,617

b. $4,983

Step-by-step explanation:

a. The account suffered a decrease of 24.5% of the original sum of $6,600.

This amount in cash is:

= 24.5% * 6,600

= $1,617

b. If the account reduced by $1,617, the balance left is:

= 6,600 - 1,617

= $4,983

What is the value of 3x^4?

Answers

Answer:

243

Step-by-step explanation:

[tex]5( \sqrt{ {x}^{2} + 2x - 14} + x) = 20 \\ \\ \sqrt{ {x}^{2} + 2x - 14} + x= \frac{20}{5} \\ \\ \sqrt{ {x}^{2} + 2x - 14} + x= 4 \\ \\ \sqrt{ {x}^{2} + 2x - 14} = 4 - x\\ \\ {(\sqrt{ {x}^{2} + 2x - 14} )}^{2} = {(4 - x)}^{2} \\ \\ \cancel{ {x}^{2}} + 2x - 14 = 16 - 8x + \cancel{ {x}^{2} } \\ \\ 2x - 14 = 16 - 8x \\ \\ 2x + 8x = 16 + 14 \\ \\ 10x = 30 \\ \\ x = \frac{30}{10} \\ \\ x = 3 \\ \\ 3 {x}^{4} = 3 {(3)}^{4} = 3 \times 81 \\ \\ \huge \red {3 {x}^{4}= 243}[/tex]

find x=, if x-5=10 HURRY!!!!

Answers

x=15 because 15-5=10

I need help with this question.

Answers

Answer:

[tex]13 {z}^{8} [/tex]

Step-by-step explanation:

What’s the answer plz help!

Answers

Answer:

40 and 60

Step-by-step explanation:

A driver stopped to purchase 27 gallons of gas and paid $62.10. What is the unit rate for gas?

$_______per gallon

Answers

Answer:

Each gallon of gas was $2.30

Step-by-step explanation:


Mare has a monthly cell phone plan that has a fixed charge of $12 per month plus
$0.30 per text message. Marie wants to spend no more than $40 per month on her
call phone. Which inequality represents the number of text messages, X, that Marie
Please hurry

Answers

You need to multiply the cost per text message by the number of messages (x) add that to the fixed charge.

The total of those need to be less than or equal to the amount she wants to spend.

The equation would be written as:

0.30x + 12 <= 40

find the fourth proportional to 2,3,6​

Answers

Answer:

9

Step-by-step explanation:

Let the fourth proportional be x Then

2 : 3 :: 6 : x

2/3 = 6 / x

2x = 3 * 6

x = 18 / 2

x = 9

Hope it will help :)

b. Classify the triangle shown by its angles and by its sides.​

Answers

Answer:

Yes, according to the angles and sides of the hills

Answer:

Answers

1.  40o, obtuse

2.  90o, right

3.  scalene

4a.  equilateral

4b.  isosceles

4c.  scalene

5.  An acute triangle has 3 acute angles, not just 1.  The figure contains a right angle and is therefore a right triangle.

6.  obtuse

7.  58o, acute

8.  Yes, because the measures add up to 180o.

9.  C

10.  The triangle would be isosceles, because isosceles triangles have two sides the same length.

Step-by-step explanation:

Another name for a cube is
A. dodecahedron
B. hexahedron
C. icosahedron
D. tetrahedron
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Answers

Answer:

B

Step-by-step explanation:

Someone please hurry, I have no idea what I am doing

Answers

Answer

61.80°

Step-by-step explanation:

use SOHCAHTOA to solve

by using SOH

sin? = 51/55

? = 1÷sin(51/55)

? = 61.80°

90% of e is 30. What is e?

Answers

Answer:

27

Step-by-step explanation:

Answer:

e = 33.3 (approx. )

Step-by-step explanation:

To find out - 'e'

Given,

90 % of e = 30

[tex] = > \frac{90}{100} \times e = 30[/tex]

[tex] = > e = 30 \times \frac{100}{90} [/tex]

[tex] = > e = \frac{100}{3} [/tex]

=> e = 33.3333......

=> e = 33.3 (approx. ) (Ans)

Help me please answer thanks

Answers

So what you want to do first is get this and get that to get this
Value of y = 6

y = 2x

y = 2(3)

y = 6

Need help ASAP I will give you 10 points

Answers

Answer: x=18

Step-by-step explanation:

First distribute:

(18/6)-(x/6)=0

Isolate the x variable:

(18/6)=(x/6)

18=x

On Monday ,bo saw 1/5 of birds listed in his guidebook. on Tuesday he saw 3/5 more of birds. what fraction of the birds in the guidebook did bo see in those two days ?

Answers

Answer:

4/5

Step-by-step explanation:

That would be 1/5 + 3/5 which equals (1+3)/5 = 4/5

whyyyyyy does math suck help meeee plzz

Answers

Do 8+4-7 I learn it that way and it’s correct all the time

Answer:

3 1/2

Step-by-step explanation:

the equation is 7/8x4/1 and can be rewritten as 7x4/8x1 = 28/8 which simplifies to 3 4/8 or 3 1/2

Jada received a gift of $180. In the first week, she spent a third of the gift money. She continues spending a
third of what is left each week thereafter. Which equation best represents the amount of gift money g, in
dollars, she has after t weeks? Be prepared to explain your reasoning.

Answers

Answer:

180 minus 60 equals 120

Step-by-step explanation:

1/3 of 180 equals 60 so you would take 60 out of 180 to get 120 and 120 would be the amount that she spent the rest of the weeks

what 20,000 divided by 24 ?

Answers

Answer:

833.3333333

Step-by-step explanation:

hope this helps

Step-by-step explanation:

[tex]\qquad\sf\dashrightarrow 20000/24 [/tex]

[tex]\qquad\sf\dashrightarrow 10000/12 [/tex]

[tex]\qquad\sf\dashrightarrow 5000/6 [/tex]

[tex]\qquad\sf\dashrightarrow 2500/3 [/tex]

[tex]\qquad\sf\dashrightarrow 833.3 [/tex]

find the volume of the cube below with a side length of 7.

Answers

Answer:

343 square unit is the answer...

Step-by-step explanation:

as a^3 is formula for finding volume where a is 7

HELP ASAP!!Solve for x. Enter the solutions from least to greatest.
X squared minus 5x minus 14=0
lesser x=
greater x=

Answers

x^2 - 5x - 14 = 0

what multiplies to negative 14 and adds to negative 5? -7 and positive 2.

(x - 7) (x + 2) = 0

Lesser x = -2
Greater x = 7

The tickets to a high school hockey game cost either $6 or $11. A total of 540 tickets, worth $4,740, were sold. How much of the $4,740 was made from selling the $6 tickets?

Answers

Answer:

Your answer.

240

Thank you. And give my answer as Brainlist answer. Follow me for more

Step-by-step explanation:

6=2(y+2) y=?

please help​

Answers

6 = 2(y + 2)
Divide by 2 on both sides.
3 = y + 2
Subtract 2 from both sides.
1 = y

(Substitution)
6 = 2(1 + 2)
6 = 2(3)
6 = 6
Answer:  y = 1

==========================================================

Explanation:

There are two ways to solve this

The first method will have us distribute the 2 through to each term, then we solve for y

6 = 2(y+2)

6 = 2y+4 .... distribute

2y+4 = 6

2y = 6-4 .... subtract 4 from both sides

2y = 2

y = 2/2 .... divide both sides by 2

y = 1 is the answer

-------------

Or we can solve through this set of steps

6 = 2(y+2)

6/2 = y+2 ...... divide both sides by 2

3 = y+2

y+2 = 3

y = 3-2 .... subtract 2 from both sides

y = 1

Either way, we get the same answer.

-------------

To check the answer, replace every copy of y with 1

Simplifying should lead to 6 on the right side

6 = 2(y+2)

6 = 2(1+2)

6 = 2(3)

6 = 6

Since we get the same thing on both sides, this means the last equation is true. This in turn means the first equation is true when y = 1. Therefore, the solution has been confirmed.

Find the geometric mean of 6 and 30, write your answer in simplest radical form.

Answers

Answer:

13.4

Step-by-step explanation:

The answer is 13.4!!

through (2,3); slope = -2

Answers

Answer:

y=-2x+7

Step-by-step explanation:

See image

What is the complete factorization of the polynomial below? x3 + x2 + 4x + 4

Answers

Answer:

(x+1)(x+2/)(x-2/)

Step-by-step explanation:

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