Express 7.4 x 102 in standard form.

MATH​

Answer:

14=7(2x-4)

0r, 14/7 = 2x-4

or, 2= 2x-4

0r,2x= 6

or x=3

14=7(2x-4)

14=14x -28

14x=42

x=42/14=3

Method 1

Divide both sides by 7 first to get

14 = 7(2x-4)

14/7 = 7(2x-4)/7

2 = 2x-4

Then add 4 to both sides

2+4 = 2x-4+4

6 = 2x

2x = 6

Finally, divide both sides by 2

2x/2 = 6/2

x = 3

which is the final answer

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Method 2

Distribute the 7 through to each term in the parenthesis

14 = 7(2x-4)

14 = 7*2x + 7*(-4)

14 = 14x - 28

Then we follow similar steps as done earlier. Add 28 to both sides

14+28 = 14x-28+28

42 = 14x

14x = 42

Then divide both sides by 14 to fully isolate x

14x/14 = 42/14

x = 3

Either way we get the same result. As to which method you pick (if you could only choose one), its up to you based on whichever you find easier.

The basic idea with either method is that we follow PEMDAS in reverse to undo everything happening to x. This way we fully isolate it.

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Checking the answer:

Plug x = 3 into the original equation. Simplify to get

14 = 7(2x-4)

14 = 7(2*3-4)

14 = 7(6-4)

14 = 7*2

14 = 14

This confirms the answer. As you can see, if we know the value of x, we use PEMDAS to simplify both sides. But if we don't know x, and want to find it, then we follow PEMDAS in reverse.

Answer:

7

Step-by-step explanation:

The output is 'y'. The input would be 'x'.

[tex]y=x+3\\\\y=4+3\\\\y=7[/tex]

The output should be 7.

Hope this helps.

The output for the function y=x + 3 at input x = 4  will be y = 7.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

Given the function is  y=x + 3. the value of the output at input x = 4 will be calculated as:-

y = x + 3

Put x = 4 in the function.

y = 4 + 3

y = 7

Therefore, the output for the function y=x + 3 at input x = 4  will be y = 7.

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Answer:

- 5

Step-by-step explanation:

Step 1:

2p - 3 = 3p + 2

Step 2:

2p = 3p + 2 + 3

Step 2:

2p = 3p + 5

Step 3:

- p = 5

Answer:

p = - 5

Hope This Helps :)

Answer:

-5

Step-by-step explanation:

2p - 3 = 3p + 2

combine the like terms

-3 -2 = 3p -2p

-5 = p

Answer:

5hours

Step-by-step explanation:

1 week =7 days

10 hr +20hr = 30 hrs

If you work 4hrs a wee k you will achieve only 28hrs of work so you will have to work for 5hrs to achieve 35hrs of work which is still within the bracket of 40hrs of work

In each job you will work for 2hours 30

minute

Each day you will earn $60.00

At tutoring you get $37.50

At sippy drink you will get $22.50

In a week you will get a maximum of $420.00

Answer:

Equation 1

hope this helps

24.08319

Step 1 : Find 1 / N

  1 / N = 1 / 5 = 0.2

Step 2 : Find mean

 GM = ( 1 * 3 * 5 * 7 * 10 ) 0.2

       = ( 1050 ) 0.2

 GM= 4.020

slope-intercept form: y = mx + b

m = the slope and b = the y-intercept.

We know that the line passes through x-coordinate 1 and y-coordinate 1 and has a slope of 2

Let's plug our numbers into the slope-intercept form

1 = 2(1) + b

Simplify the right side

1 = 2 + b

Subtract 2 from both sides

-1 = b

The final answer: y = 2x - 1

Answer:

C. c = 8

Step-by-step explanation:

Step 1: Write equation

7 - 3c = -17

Step 2: Subtract 7 on both sides

-3c = -24

Step 3: Divide both sides by -3

c = 8

Answer:

C)8

7-3c=-17

-3c= -24

c=8

Answer:

x= -1

x=1

Step-by-step explanation:

Answer:

-1/5y + 2/5

Step-by-step explanation:

add -7w to both sides

-5w-y=-2

Divide both sides by -5

w= -1/5y +2/5

Answer:

Option 4

Step-by-step explanation:

If the circle is filled in them it will be either ≤, ≥, ≈ .

One circle is open one is closed

Answer:

A

Step-by-step explanation:

in the end of the sentence it mentions "in the future" so you need to make that verb future tense as well

I think the correct answer is A.

Explanation: It just makes the most sense to me. I dont really know how to explain it any better! Im sorry! I hope this helped!! :)

Step-by-step explanation:

Think of 4.29 and 4.3 as 429 and 430.

Now which is greater, 429 or 430?

430, right? Then we convert them back to decimals.

4.29<4.3

Hope it helps!

Answer:

x=8.25

Step-by-step explanation:

Divide both sides by 7/3

(x+9/28) = 8.57

Subtract 9/28 on both sides

x = 8.25

Answer:

The question is incomplete. The complete question is :

A plane traveling at a constant speed flew over Pittsburgh, Saint Louis, Albuquerque, and Phoenix on its way from New York to San Diego.

Complete the table as you answer the questions. Be prepared to explain your reasoning.

       segment                              time                     distance        speed

Pittsburgh to Saint Louis    1 hour                    550 miles  

Saint Louis to Albuquerque 1 hour 42 minutes  

Albuquerque to Phoenix                             330 miles  

Step-by-step explanation:

We can complete the table as :

  segment                              time                     distance        speed

Pittsburgh to Saint Louis    1 hour                   550 miles   550 miles/hour

Saint Louis to Albuquerque 1 hour 42 minutes    93.5 miles 550 miles/hour

Albuquerque to Phoenix   3/5 hour           330 miles 550 miles/hour

Since it is given in the question that the plane is flying in a constant speed from one place top another place.

So, it is maintaining the same speed to cover different distances for different time.

Thus the constant of proportionality is 550.

Answer:

Joyce should write [tex]1,8,64,512,4096[/tex]

Step-by-step explanation:

Let's analyze the procedure of how the pictures are formed.

Her teacher said the images were created by taking a red square, dividing it into 9 smaller squares, and removing the center square.

For the first two images we can see and count that there is 1 red square in the first picture and 8 red squares in the second picture.

For the third image, there are 8 squares formed by 8 red squares each one.

The number of red squares is 8 x 8 = 64

We can write the sequence as

1 , 8 , 64 ⇒ 1 , 8 , [tex]8^{2}[/tex]

For the fourth picture we can do the same reasoning and figure out that there are 8 x 8 x 8 = 512 red squares in the fourth image.

The sequence so far is

1 , 8 , 64 , 512 ⇒ 1 , 8 , [tex]8^{2}[/tex] , [tex]8^{3}[/tex]

We can generalize the sequence and write that the sequence is :

[tex]8^{n}[/tex] with [tex]n[/tex] ∈ IN ⇒ The first five numbers will be

[tex]8^{0},8^{1},8^{2},8^{3},8^{4}[/tex] = [tex]1,8,64,512,4096[/tex]

The statement that does not represent the same value as the others is 'the opposite of 9'

"It is the actual distance of the number from zero."

For given question,

We need to find the statement which does not represent the same value as the others.

We find the value for each statement.

a) the distance between 0 and 9

The distance between 0 and 9 is 9.

b) the absolute value of negative 9

We know, |-9| = 9

So, the absolute value of -9 is 9

c) the opposite of 9

The opposite of 9 is -9.

d) the absolute value of 9

|9| = 9

So, the absolute value of 9 is 9.

Therefore, the statement that does not represent the same value as the others is 'the opposite of 9'

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Given :

An expression D = 401 km 101 m – 34 km 153 m.

To Find :

Value of D.

Solution :

We know, 1 km = 1000 m.

So, 401 km 101 m =( 401000 + 101 ) m = 401101 m.

Also, 34 km 153 m = ( 34000 + 153 ) m = 34153 m.

Now, D is given by :

D = 401101 - 34153 m

D = 366948 m

Now, D = 366948 m = 366 km 948 m.

Therefore, the difference is 366 km 948 m.

Hence, this is the required solution.

Answer:

[tex]\frac{7x}{8}-\frac{1}{40}[/tex]

Step-by-step explanation:

[tex](\frac{3x}{4}-\frac{5}{8})+(\frac{x}{8}+\frac{3}{5})[/tex]

By combining the like terms,

= [tex](\frac{3x}{4}+\frac{x}{8})+(\frac{3}{5}-\frac{5}{8})[/tex]

= [tex](\frac{6x}{8}+\frac{x}{8})+(\frac{3}{5}\times \frac{8}{8}-\frac{5}{8}\times \frac{5}{5} )[/tex]

= [tex]\frac{7x}{8}+(\frac{24}{40}-\frac{25}{40})[/tex]

= [tex]\frac{7x}{8}-\frac{1}{40}[/tex]

Therefore, by solving the given expression we find the answer as [tex]\frac{7x}{8}-\frac{1}{40}[/tex].

Answer:

m = e/c^2

Step-by-step explanation:

Equation: e = mc^2

Isolate m: e/c^2 = mc^2/c^2

Cancel out: e/c^2 = m

Answer:

(-3.5 8.5)

Step-by-step explanation:

Midpoint Formula: ([tex]\frac{x2 + x1}{2}[/tex], [tex]\frac{y2 + y1}{2}[/tex])

What I did: -10 + 3 = 7, 7 / 2 = 3.5 x = 3.5 | 9 + 8 = 17, 17 / 2 = 8.5

Midpoint = (-3.5, 8.5)

To determine the length of one side use the formula for the area of square. As a square is equal on all four sides, finding one length results in any of the four. Solve using the formula and you receive your answer of 90.

A = s²

8100 ft² = s² (set up formula)

√8100 ft² = s² ( get s alone by squaring both sides)

90 ft = s (answer)

We can conclude that the side of the given square with an area of 8100ft² is 90ft.

So, the area of the square is 8100ft².

Now, calculate for s as follows:

Therefore, we can conclude that the side of the given square with an area of 8100ft² is 90ft.

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Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(6,4) and (-5,-1)

The distance between them is

[tex]d = \sqrt{ ({6 + 5})^{2} + ( {4 + 1})^{2} } \\ = \sqrt{ {11}^{2} + {5}^{2} } \\ = \sqrt{121 + 25} \\ = \sqrt{146} \\ \: \: \: \: \: \: \: \: \: \: \: = 12.0830459[/tex]

We have the final answer as

Hope this helps

Answer:

  D)  7.01

Step-by-step explanation:

The rates of doing work, in terms of jobs per hour, will add when the two painters are working together. If A represents Alberto's time to do the job alone, we have ...

  1/4.12 = 1/10 + 1/A

(Jobs per hour is the inverse of hours per job.)

  A = 1/(1/4.12 -1/10) ≈ 7.0068 ≈ 7.01

It takes Alberto 7.01 hours to do the job alone.

Answer:

x = 11/4

Step-by-step explanation:

[tex]\frac{x+8}{4} = \frac{6x+5}{8}[/tex]

Step 1: Cross-multiply.

[tex](x+8)*(8)=(6x+5)*(4)[/tex]

[tex]8x+64=24x+20[/tex]

Step 2: Subtract 24x from both sides.

[tex]8x+64-24x=24x+20-4x[/tex]

[tex]-16x+64=20[/tex]

Step 3: Subtract 64 from both sides.

[tex]-16x+64-64=20-64[/tex]

[tex]-16x=-44[/tex]

Step 4: Divide both sides by -16.

[tex]\frac{-16x}{-16} = \frac{-44}{-16}[/tex]

[tex]x = \frac{11}{4}[/tex]

Answer:

15% = 3/20 = 0.15

1.25 =125% =5/4

12 3/8 = 12.375 = 1237.5%

Step-by-step explanation:

15% to fraction , then decimal ;

[tex]15\% = \frac{15}{100} \\Cross\:cancel\:common\:factor ; 5\\\\15\div 5 = 3\\100\div 5 = 20\\\\= \frac{3}{20}\\\\\frac{3}{20} = 0.15[/tex]

1.25 to fraction , then percentage

[tex]1.25 = \frac{1.25}{1} \times \frac{100}{100} \\\\1.25\times 100 =125\\1\times 100 = 100\\\\= \frac{125}{100} \\= \frac{5}{4} \\\\1.25\times 100\\= 125\%[/tex]

12 3/8 to decimal then percentage

[tex]12\frac{3}{8} =\frac{99}{8} = 12.375\\\\12.375\times 100\\\\= 1237.5\%[/tex]

Answer:6:2

Step-by-step explanation:

Answer:

how many batches you need to know? If 2 batches the answer is 6:2 and if 4 batches it is 12:4