Caleb solved this equation and recorded his work.

7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6

1. 7.4x + 8.2x − 16.4 = −2.3x + 13.8 − 21.6

2. 15.6x − 16.4 = −2.3x + 35.4

3. 17.9x − 16.4 = 35.4

4. 17.9x = 51.8

5. x ≈ 2.89

When Caleb verified his solution, it didn’t work. What mistake did he make?
In step 1, the distributive property was not used properly on the right side of the equation.
In step 2, the like terms were not combined properly on the right side of the equation.
In step 3, the addition property of equality was not used properly to isolate the variable term.
In step 5, the division property of equality was not used properly to solve for x.

Given:

$184500 are to be divided between 2 people.

One person has 80% of what the other person has.

To find:

The amount each one receive in $.

Solution:

Let $x be the amount received by first person. Then,

Amount received by the second person = 80% of x

                                                                   = 0.80x

Total amount = Amount received by first person + by second person

                      =[tex]x+0.80x[/tex]

                      =[tex]1.80x[/tex]

Total amount is 184500. So,

[tex]1.80x=184500[/tex]

[tex]x=\dfrac{184500}{1.80}[/tex]

[tex]x=102500[/tex]

So, the amount received by the first person is $102,500.

[tex]0.80x=0.80\times 102500[/tex]

[tex]0.80x=82000[/tex]

So, the amount received by the second person is $82,000.

Answer:

y=1//4x+1.5

Step-by-step explanation:

3=1/4(6) +C

3=1.5+C

3-1.5=C

1.5=c

Answer:

x = -3

Step-by-step explanation:

4x+3 = 6x+9

4x-6x = 9-3

-2x = 6

x = -3

Answer:

C. 18

Step-by-step explanation:

Let's say the first number is x so the second will be x+1 and the third will be x+2

x+ x+1+x+2=51

3x+3=51

3x=51-3

3x=48

3x/3=48/3

X=16 this is the first number

The second number will be x+1=16+1=17

The third number will be x+2=16+2=18

So the greatest number will be 18

Answer:

First one : 53/100 and 53%

Step-by-step explanation:

0.53 --> 53/100 --> 53%

Answer:

0.53=53/100=53%

Step-by-step explanation:

The decimal equivalent of the unknown percentage is evaluated by moving the decimal 2 places to the left from its current position.

To convert it to an equivalent fraction replace the % sign with x1/100 and simplify:53*1/100

Divide out the common factor to simplify 53/100

9514 1404 393

Answer:

  m∠T = 45°

Step-by-step explanation:

The sum of angles in a triangle is 180°, so ...

  (2x +10)° +(3x -9)° +(6x -19)° = 180°

  11x -18 = 180 . . . . . collect terms, divide by °

  11x = 198 . . . . . . . . add 18

  x = 18 . . . . . . . . . . . divide by 11

Then the angle of interest is ...

  m∠T = (3x -9)° = (3·18 -9)°

  m∠T = 45°

_____

The other angles are ...

  m∠S = 46°

  m∠U = 89°

Answer:

Step-by-step explanation:

You need to learn about Interpreting graphs,x-intercepts and y-intercepts And Translating functions

Answer:

1,970

Step-by-step explanation:

The amount earning Elisa Harrington for July through October were 2,087 1,912 1,876 2,005

The formula for Average amount can be calculated as:.

Sum of Amount/Number of terms

Number of terms = 4

Hence:.Average Amount =

2,087 + 1,912 + 1,876 + 2,005/4

= 7,880/4

= 1,970

Therefore, the average amount Elisa was earning was 1,970

Think it is the 8 ticket deal cuz it has more but for me it really depends on what I am going to buy them for.

Hope this helps God Bless

Answer:

The correct answer is C

Step-by-step explanation:

pls mark brainly

Answer:34miles

Step-by-step explanation:17 milles an hour

1 hour=17 miles

2hour=34miles

Answer:

5/8ths

Step-by-step explanation:

Answer:

[tex]\frac{3}{8}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{13}{24}[/tex]

Step-by-step explanation:

3/8 + 1/6 = ?

9/24 + 4/24 = 13/24

Answer:

8x-3

Step-by-step explanation:

Because i got it correct I had the same question and i picked 8x-3

Answer:

D

Step-by-step explanation:

4+4=8 probability of success

4+4+3=11 total senario

therefore 8/11 is your probability of a success

A box of chocolates contains four milk chocolates, four dark chocolates, and three white chocolates. The probability that it is milk or dark chocolate is 8/11.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

The total number of milk chocolate = 4

The total number of dark chocolate = 4

The total number of white chocolate = 3

The total number of milk or dark chocolate = 8

Total number of chocolate a box contains = 11

The probability that it is a milk or dark chocolate = 8/11

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ2

Answer:

Event 2, Event 3, Event 4, Event 1

Step-by-step explanation:

The probability of Event 2 occurring is 0/12(0%) as there are no red marbles in the bag.

The probability of Event 3 occurring is 13/20(65%) as you will get an orange marble from Bag B 13 out of 20 times.

The probability of Event 4 occurring is 9/12(75%) as you will get a yellow marble from Bag A  9 out of 12 times.

The probability of Event 1 occurring is 20/20(100%); therefore you will always get either a yellow or an orange marble from Bag B.

Answer:

2n+3

Step-by-step explanation:

Since the question is asking for "a number" times 2, the first thing that is necessary in any expression is 2n. Next, since there is "3 more", 3 must be added to the 2n. Combining this gives the translation 2n+3.

Answer:

AD

Step-by-step explanation:

Answer:

A. 3x-7y and -7y+3x

Step-by-step explanation:

Let x=1, y=2

3(1)-7(2)

3-14

-11

-7(2)+3(1)

-14+3

-11

Answer:

164 degrees

Step-by-step explanation:

The measure of the individual internal angle in a polygon is;

(n-2)180/n

n = 22

So we have;

(22-2)180/22

= (20 * 180)/22

= 163.64 degrees

To the nearest whole number, this is 164

Answer:

Angle θ would be about 17.1 degrees.

Step-by-step explanation:

To figure out what Angle θ is, first we have to find the hypotenuse. You can easily do that by find the square root of BC² + AC².

c = √4² + 13²

Square 4 and 13 to get 16 and 169 respectively.

c = √16 + 169

Add 16 and 169 to get 185.

c = √185

Find the square root of 185 (I'll round to the nearest tenth.)

c = 13.60147 ≈ 13.6 units

To find angle β, divide AC by AB and find the inverse sine of that.

β = arcsin(13/13.6)

Divide 13 by 13.6. Round to the nearest thousandth.

β = arcsin(0.955)

β ≈ 1.2723 rad

To convert radians to degrees, multiply the radians by 57.2957795 for an approximate amount.

β ≈ (1.2723 * 57.2957795)°

β ≈ 72.8974203 ≈ 72.9 degrees

Now subtract 72.9 from 90 to get angle θ's measure of 17.1 degrees.

Answer:

7/5

Step-by-step explanation:

Answer: Point Form: (4,2)

Equation Form: x=4,y=2

Step-by-step explanation:

Answer:

c = 3/4, hope this helps

Step-by-step explanation:

4c/4 = 3/4

c = 3/4

Answer:

27•7

approximately 28

Step-by-step explanation:

1164 = 42

X =1

1164=42x

42 42

X=27.7

~28

Answer:

19.3%

Step-by-step explanation:

6.50-5.45 = 1.05

1.05/5.45 = 0.192605505

* 100 = 19.27% = 19.3% increase

Download math apps Answer:

Step-by-step explanation:

Answer:

-7+x/5

Step-by-step explanation: