Jake solved an equation, as shown
1. 1/3x + 7 = 15
2. 1/3x + 7 - 7 = 15
3. 1/3x = 15
4. 3 • 1/3x = 3 • 15
5. x = 45
Which statement is true?
Jake made a mistake in step two
Jake made a mistake in step four
Jake made a mistake in step five
Jake solved the equation correctly​

Answer:

[tex]\{x\ E\ Z\ |\ x > 50\}[/tex] ---- Set Builder

(50, ∞)  ---- Interval Notation

Step-by-step explanation:

Given

x > 50

Required

Write as a

- Set builder

- Interval notation

As Set Builder:

x > 50 means that x is an integer and x is greater than 50.

In set builder notation, integers are represented with z.

So, the above can be represented as:

[tex]\{x\ E\ Z\ |\ x > 50\}[/tex]

This translates to:

x is a member of the set of integers such that x is greater than 50

As Interval Notation:

In interval notation, we make use of brackets to represent the intervals.

In this case > is represented by (a,b)

Where a and b are the intervals of the notation

Since x > 50, then a = 50 and b = ∞ because we only know the starting point and not the end point.

Hence: x > 50 in interval notation is (50, ∞)

Answer:

b

Step-by-step explanation:

absoulute value is never negative.

The answer is -7!!!!  can you help me too???? im stuck on one problum!!!

:D

Answer:

Question 5 is B

Because after I simplified I got B and its the only one that makes sense.

Answer:

just divide the numerator by the denominator

Step-by-step explanation:

an example is ⅔ as a decimal is about .666 or .7

Answer:

The digits in bold are those that were given, and other two we had to fill. The table below contains the answer.

Step-by-step explanation:

We need to complete the table.

Positive Integer: value having + sign

Negative Integer : Value having - sign

The digits in bold are those that were given, and other two we had to fill

Positive Integer       Negative Integer   Value

15                                   -15                         15

101                                 -101                        101

4                                   -4                            4

82                                 -82                         82

1121                              -1121                        1121

33                                 -33                         33

10                                  -10                          10

999                             -999                        999

47                                 -47                           47

1                                    -1                                 1

Answer:

51/3 = 17

Step-by-step explanation:

3 can go into 5 one time (1)

5 minus 3 equals 2.

Bring down the one, make sure the 2 and 1 are beside. (21)

How many times can 3 go in to 21 ?

7 !

So, put 1 and 7 together, and get 17!

Answer:

x=1 4/3

Step-by-step explanation:

Answer:

1. customers

2. all customers

3. 170

4. 30

5. 10

Step-by-step explanation:

edgen 2020 :)

Answer:

1.no answer x

Step-by-step explanation:

2. 216

3. 1000

Answer:

She runs 6 miles in total.

Answer:

[tex]\huge\boxed{f^{-1}(x)=\dfrac{x+3}{4}=\dfrac{1}{4}x+\dfrac{3}{4}}[/tex]

Step-by-step explanation:

[tex]f(x)=4x-3\to y=4x-3\\\\\text{exchange}\ x\ \text{to}\ y\ \text{and vice versa}\\\\x=4y-3\\\\\text{solve for}\ y\\\\4y-3=x\qquad|\text{add 3 to both sides}\\\\4y-3+3=x+3\\\\4y=x+3\qquad|\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{x+3}{4}\\\\y=\dfrac{x+3}{4}\to y=\dfrac{1}{4}x+\dfrac{3}{4}[/tex]

Answer: a. $128.125

Step-by-step explanation:

The standard error of the mean is given by :

[tex]SE=\dfrac{\sigma}{\sqrt{n}}[/tex] , where [tex]\sigma[/tex] = population standard deviation , n= sample size.

Given: [tex]\sigma=\$2,050[/tex]

n= 256

Then, the standard error of the mean:-

[tex]SE=\dfrac{2050}{\sqrt{256}}\\\\=\dfrac{2050}{16}=\$128.125[/tex]

Hence, option a. is correct.

Answer:

x = 14 ; 58° ; 32°

Step-by-step explanation:

What's the actual question??? ... To find "x" or to find the measure of each angle?

(4x + 2)° + (2x + 4)° = 90°

6x + 6 = 90

6x = 84

x = 14

(4(14)+ 2)° = 58°

(2(14) + 4)° = 32°

Answer:

A negative number, a negative integer, a negative multiple of 3, etc.

Step-by-step explanation:

Answer:

integer

???????

Step-by-step explanation:

I'm not sure

Answer:

D

Step-by-step explanation:

Plz mark as brainliest!!!

Answer:

*20 Songs and 2 Movies

*8 Songs and 6 movies

Step-by-step explanation:

Answer:

Step-by-step explanation:

P(x) + Q(x) = 4x^2 + 6x - 9 -7x^2 - 12x +8

x^2 terms: 4x^2 - 7x^2 = - 3x^2

x  terms  : +6x - 12x =      - 6x

linear term: - 9 + 8 = - 1

Answer: -3x^2 - 6x - 1  

Answer:

The answer is (-2±√10)/3

Step-by-step explanation:

so if it is 3x^2+4x=2 then

set one side to zero

subtract 2 from both sides

3x^2+4x-2=0

this is not factorable by normal means so use quadratic formula which is if you have the equation in ax^2+bx+c=0 form you can solve for x if you put it into this equation quadratic formula  so if you were to input it into this equation you would get

a=3

b=4

c=-2

the solution is: (-2±√10)/3

Answer:

B

Step-by-step explanation:

7+ 8+ 9= 24

24 x 3= 72

Answer:

The three integers whose three times the sum of three consecutive integers is 72 will be: 7, 8, 9

Step-by-step explanation:

Let x, y, and z be the three consecutive integers

The sum of x, y, and z will be: x+y+z

The three times the sum of three consecutive integers is 72.

so the equation becomes:

3(x+y+z)=72

Now, putting x = 7, y=8 and z=9 in the L.H.S equation to check

3(x+y+z)

⇒ 3(7+8+9)

⇒ 3(24)

⇒ 72

Therefore, it is clear that the three integers whose three times the sum of three consecutive integers is 72 will be: 7, 8, 9

Answer:

Step-by-step explanation:

Given is the exponential function which  is a geometric sequence

It has common ratio of 4

Correct answer option:

Answer:

[tex]1.91\ \text{in}[/tex]

[tex]3.84\ \text{in}[/tex]

Step-by-step explanation:

V = Volume of cylinder = [tex]44\ \text{in}^3[/tex]

h = Height of cylinder

r = Radius of cylinder

Volume of cylinder is given by

[tex]V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{44}{\pi r^2}[/tex]

Total surface area of a cylinder is given by

[tex]S=2\pi r^2+2\pi rh\\\Rightarrow S=2\pi r^2+2\pi r\times\dfrac{44}{\pi r^2}\\\Rightarrow S=2\pi r^2+\dfrac{88}{r}[/tex]

Differentiating with respect to radius

[tex]\dfrac{dS}{dr}=4\pi r-\dfrac{88}{r^2}[/tex]

Equating with zero

[tex]4\pi r-\dfrac{88}{r^2}=0\\\Rightarrow 4\pi r=\dfrac{88}{r^2}\\\Rightarrow r^3=\dfrac{88}{4\pi}\\\Rightarrow r=(\dfrac{22}{\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.91\ \text{in}[/tex]

Double derivative of S

[tex]\dfrac{d^2S}{dr^2}=4\pi+176>0[/tex]

So [tex]r[/tex] is minimum at [tex]\dfrac{dS}{dr}=0[/tex]

[tex]h=\dfrac{44}{\pi r^2}=\dfrac{44}{\pi 1.91^2}\\\Rightarrow h=3.84\ \text{in}[/tex]

So the radius and height of the cylinder is [tex]1.91\ \text{in}[/tex] and [tex]3.84\ \text{in}[/tex] respectively such that the least amount of metal is used.

Answer:

15

Step-by-step explanation:

Answer:

I think the answer is y=2x-2

Hope it is correct! The x is positive because the angle is pointing to the right, and the -2 came from the position of the line.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The product of 2.3 × 1.5 from the area model is 3.45

The product of two numbers implies the multiplication of the two numbers. Here, the two numbers to be multiplied together are decimal numbers.

Using the long multiplication method.

     2.3

×     1.5    

   1 1 5

+ 2 3      

  3 . 4 5  

So, what we did basically is to first multiply the two numbers normally and then, decide how many decimal places are the two numbers which two.

Therefore, the product of 2.3 × 1.5 from the area model is 3.45

Learn more about product of a number here:

https://brainly.com/question/21264607?referrer=searchResults

Answer:

$1.40

Step-by-step explanation:

I used a unit rate to understand it.

$70/50

70÷ 50= 1.4

50÷50=1

1.4/1 = 1.4 OR $1.40, adding a zero doesn't change it amount, it just places a filler, so the final answer is, one dollar and forty cents.

Answer:

Where is the figure?

Step-by-step explanation:

A ray looks like this though:

Answer:

Step-by-step explanation:

A  = 2π +πrl                

A - 2π = πrI                  subtract by 2π

(A- 2π)/(πr) = I               divide by πr to isolate I

Answer:

Distribution, equal groups, skip counting, repeated addition, and array.

Step-by-step explanation: