Peter says, "If you subtract 16 from my number and multiply the difference by - 2, the result is
- 34." What is Peter's number?

Answer:

4

Step-by-step explanation:

x/2 +6 = 8

subtract 6 from both sides

x/2 = 2

multiply by the reciprocal of 1/2 which is 2. That cancels out the 2 on the x side and x is equal to 4

Hope that helps

Answer:

  x = 4

Step-by-step explanation:

The left side of the equation has a variable term (x/2) and a constant term (6).

The right side of the equation has a constant term (8).

This is the form you expect to see for a "two-step" linear equation. It is solved in 2 steps.

Step 1:

Subtract the left-side constant from both sides.

  x/2 +6 -6 = 8 -6

  x/2 = 2 . . . . . simplify

Step 2:

Multiply both sides of the equation by the reciprocal of the coefficient of x. The coefficient of x is 1/2. Its reciprocal is 2/1 = 2. When you multiply both sides by 2, you get ...

  2(x/2) = 2(2)

  x = 4 . . . . . . simplify

_____

Additional comment

The idea of a multiplicative inverse (reciprocal) is that a number multiplied by its reciprocal is 1.

  [tex]\dfrac{2}{1}\times\dfrac{1}{2}=\dfrac{2}{2}=1[/tex]

1 is the "identity element" for multiplication. That means whatever you multiply by 1 retains its original identity. Multiplying x by 1 gives x.

When we solve an equation of this sort, we use these properties of multiplication (inverse, identity element) to "get rid of" the coefficient of x.

As always, the rules of equality say that whatever you do to one side of the equation must also be done to the other side. So, when we multiply x/2 by 2, we must also multiply the other side of the equation by 2.

__

Don't let the presentation of the x-term throw you. It can be written several ways that all mean the same thing.

  (1/2)x . . . . with or without the parentheses

  0.5x

  x/2

Answer:

$10.60

Step-by-step explanation:

Sarawong ends with $11.40, and we need to find his weekly allowance by working backward. First, we learn that he earned $6.10 of that total amount of money by washing the dog, so we can subtract the two values:

11.4 - 6.1 = 5.3

So, before washing the dog, Sarawong had $5.30. But he only received this after spending half of his weekly allowance, so $5.30 must be half of his weekly allowance. If we multiply $5.30 by 2, we should be able to find his weekly allownce.

5.3 × 2 = 10.6

Now, we can check our work. First, he spends half of his weekly allowance on candy. Half of 10.6 is 5.3, so he now has $5.30. Then, he earns $6.10 more by washing the dog. 5.3 + 6.1 = 11.4, which is the ending value. So, our work was correct! Hopefully that's helpful. :)

Answer:

NO no no non

Step-by-step explanation:

IHOPE THIS CORELRECT ANSWER

Answer:

LxWxH=A

Step-by-step explanation: multiply LxWxH=A

Answer:

B (0, -2)

Step-by-step explanation:

Since the line intercepts at -2 on the y-axis, -2 is the y-intercept.

Answer:

It’s A :D

Step-by-step explanation:

3 goes into 12 4 times

4 times 4 equals 16

so 16 can of soup

and then! 4 goes into 36   9 times

Click the picture to see inside! :3

Hope this helps :DDD

Kieran membeli mobil seharga $8000 Tahun berikutnya dia menjual mobil seharga $7500

Loss :

= $ 8.000 – $7.500

= $ 500

then Loss is $500

#FromIndonesia

Answer:

√366

Step-by-step explanation:

a^2 + b^2 = c^2

5 + 361 = 366

√366

Answer:

y= 0.75x + -0.50

A or B is what im guessing

Answer:

i don't know but I think question 1 is 64

Answer:

I think the density is 4cm.

Hope that helps you.

Step-by-step explanation:

The length of the ladder needed to reach the top of the house is 31.2 feet.

Trigonometric ratio is used to show the relationship between the sides and the angles of a right angled triangle.

Let d represent the length of the ladder. Using trigonometric ratio:

[tex]sin(60)=\frac{27}{d} \\\\d=\frac{27}{sin(60)} =31.2\ feet[/tex]

The length of the ladder needed to reach the top of the house is 31.2 feet.

Find out more at: https://brainly.com/question/4326804

Answer:

60 mph

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

630/6300 = 0.1

0.1*100 = 10

10% a.k.a 1/10

Hope this helped!

Answer:

If the sum of the digits of a number is divisible by 9, then that number is divisible by 9. An..... sorry if this does not help :(

Step-by-step explanation:

Answer:

[tex]7+32-42\div 2 = 39 - 21 = 18[/tex]

Step-by-step explanation:

Answer:

10000 meters

Step-by-step explanation

To find perimeter you add the length of each side of the shape. Since the land is a rectangle there are two pairs that are parrallel, being 2000 and 3000. Making the distance 2000 + 2000 + 3000+ 3000 = 10000

Hope this helps!

Answer:

Step-by-step explanation:

Let Maggie's age = x

The brother's age = 3x - 5

x + 3x - 5 = 43

4x - 5 = 43              Add 5 to both sides

4x - 5 + 5 = 43+5

4x = 48                  Divide by 4

4x/4 = 48/4

x = 12

Maggie = 12

Brother = 3*12 - 5

Brother = 36 - 5

Brother = 31

(2,2)

Step-by-step explanation:

You have to add them together and minus the negatives

1 tick represents 8 units

Answer: Check out the diagram below for the filled out table

Equation is y = 1.5x

Box for row one = 330

Box for row two = 1000

Box for row three = 1.5

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

Explanation

The point (x,y) = (200,300) is on the blue diagonal line. It indicates that x = 200 grams of fish have y = 300 calories. Divide the two values to get the slope

slope = y/x = 300/200 = 1.5

This trick only works because the line is going through the origin. Otherwise, we'd have to use the slope formula.

The slope of 1.5 is the constant of proportionality. It tells us the equation is y = 1.5x. Whatever x is, multiply by 1.5 to get y.

So if x = 220, then y = 1.5x = 1.5*220 = 330

220 grams of fish have 330 calories. We'll write 330 in the box of the first row of the table.

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

We can use this idea in reverse. If we know the calorie count (y), then we can divide by 1.5 to get the number of grams (x).

y = 1.5x

1500 = 1.5x

1.5x = 1500

x = 1500/(1.5)

x = 1000

Therefore, 1000 grams of fish have 1500 calories. We'll write 1000 in the box of the second row.

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

The third row of the table is going to follow the same steps as the first row.

y = 1.5x

y = 1.5*1

y = 1.5

One gram of fish produces 1.5 calories

The filled out table is shown below. I've merged the two screenshots you posted into one image, and filled out the boxes.

Answer:

2nd option

Step-by-step explanation:

The standard form of an exponential function is

y = a[tex]b^{x}[/tex]

Use points on the graph to find a and b

Using (0, 5 ) , then

5 = a[tex]b^{0}[/tex] = a

Then

y = 5[tex]b^{x}[/tex]

Using (1, 2 )

2 = 5[tex]b^{1}[/tex] = 5b ( divide both sides by 5 )

[tex]\frac{2}{5}[/tex] = b

Thus

f(x) = 5[tex](\frac{2}{5}) ^{x}[/tex] ← equation of graph

Answer:

1.400%

2. 55$

3. C

4. 28

5. 19

6. 78

7. 1$

Answer:

19 panels are painted green

Step-by-step explanation:

95/5=19 and because there are 3 colors before green again we don't have to worry about the other 3 panels

if I’m wrong, I’m sorry. If I’m right, mark me brainlest!

Answer:

x = 22

Step-by-step explanation:

4x + 28 = 116 (corresponding angles are equal when two lines are parallel)

4x = 88

x = 22

Corresponding angles must be equal

[tex]\\ \tt\hookrightarrow 4x+28=116[/tex]

[tex]\\ \tt\hookrightarrow 4x=116-28[/tex]

[tex]\\ \tt\hookrightarrow 4x=88[/tex]

[tex]\\ \tt\hookrightarrow x=22[/tex]

Answer:

I think probably at least 8 weeks.

Answer:

750g

Step-by-step explanation:

300 divided by 4, for amount of sugar per person

you'll get 75

then multiply 75 by 10 for 10 people

you get 750g