Which equation represents the sentence?

Six less than a number is half the number.


n−6=n2

n2−6=n

6−n=n2

6−n2=n

Answer:

[tex]p=\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]-3p+\frac{1}{8}=-\frac{1}{4}[/tex]

Subtract [tex]\frac{1}{8}[/tex] from both sides:

[tex]-3p=-\frac{1}{4}-\frac{1}{8}[/tex]

Multiply [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{2}[/tex] and simplify:

[tex]-3p=-\frac{3}{8}[/tex]

Divide both sides by -3:

[tex]p=\frac{3}{24}[/tex]

Simplify:

[tex]p=\frac{1}{8}[/tex]

Answer:

Fast Freddy can go 15 miles per hour which is 4 minutes per mile

Speedy Sam can go 7.5 miles per hour which is 8 minutes per mile

Fast Freddy ran faster because he went 15 mph which is double the speed of Speedy Sam.

Step-by-step explanation:

Speedy Sam: So, we can find how fast per mile, by multiplying 4 by 2 because, it takes 4 minutes to go 1/2 of a mile, so double it to make a full mile. So the rate is 8 minutes per mile for Speedy Sam. If you wanted to calculate miles per hour, it would be 7.5 miles per hour because, you would simply take 60 minutes, an hour, and divide it by 8 minutes per mile, to get 7.5 miles per hour.

Fast Freddy: We can right away notice that after one mile, it hits 4 minutes. Making the rate 4 minutes per mile. To find the miles per hour, we would do, 60 minutes divided by 4 minutes per mile to get 15. Meaning fast freddy goes 15 miles per hour

Answer:

B

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Given,

The mean of 16, X, 3, 14, 57 is 22.

Therefore,

(16+X+3+14+57)/5 = 22

(16+X+3+14+57) = 110

(90+X) = 110

X = 110-90

X = 20

The value of x will be 20.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The mean of set 16, X, 3, 14, 57 is 22.

Now,

Since, The mean of 16, X, 3, 14, 57 is 22.

Hence, By definition of mean we get;

⇒ 16 + X + 3 + 14 + 57 / 5 = 22

Solve for x as;

⇒ 90 + X / 5 = 22

⇒ 90 + X = 22 × 5

⇒ 90 + X = 110

⇒ X = 110 - 90

⇒ X = 20

Thus, The value of x will be 20.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

y = -5 + 2

Step-by-step explanation:

    We can use change in y over change in x to find slope:

[tex]\frac{y2-y1}{x2-x1} =\frac{-8--3}{2-1} =\frac{-8+3}{1} =-5[/tex]

So, our slope (aka m) is -5.

    For our b, or the y-intercept, we will need to find what value y is when x is 0. To do this, we will plug in a point for what we have so far, and then solve for b

y = -5x + b

-8 = -5(2) + b

-8 = -10 + b

2 = b

    And there is our equation,

y = -5 + 2

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

5

Step-by-step explanation:

it is half of ten which is 5

Hope this helps

Answer:

top one is correct I think

Answer:

Step-by-step explanation:

These two angles are interior and on the same side of the transversal. Therefore they are supplementary.

6x + x + 5 = 180

7x + 5 = 180                   Subtract 5 from both sides

7x = 180 - 5

7x = 175                        Divide by 7

x = 175/7

x = 25

x + 5 = 25 + 5 = 30

6x = 6*25 =       150

Answer:

7

Step-by-step explanation:

21=3x

x=7

Answer:

x = 7

Step-by-step explanation:

3 x 7 = x 3

21 = 3x

x = 21/3 = 7

Step-by-step explanation:

[tex]\frac{rise}{run}[/tex]

Initially, as X increases, Y stays constant.

Then, between x = 3 and x = 5, the graph rises by 4 and runs by 2, or rises by 2 and runs by 1, so the slope is 2.

Between x = 5 and x = 9, the graph "rises" by -1 and runs by 1, so the slope is -1.

The greatest value of y is 4 at x = 5. (5, 4)

Answer:

Initially, as x increases, y remains constant.

Afterward, the slope of the graph of the function is equal to 2 for all x between x = 3 and x = 5.

The slope of the graph is equal to -1 between x = 5 and x = 9.

The greatest value of y = 4, and it occurs when x = 5.

Step-by-step explanation:

Slope = [tex]\frac{rise}{run}[/tex]

The rise is how much it increases by y (up or down), and the run is how much it increases by x (right or left).

From 3-5 the slope = [tex]\frac{4}{2}[/tex] =  2 → it goes up 2 units for every one unit right.

From 5-9 the slope = [tex]\frac{-4}{4}[/tex] = -1 → it goes down (-) 1 unit for every one unit right.

Answer:

I wilm clear you

Step-by-step explanation:

Given,

If a=8

b=24

Now according to question,

or, b/a

or, 24/8

or, 3

Step-by-step explanation:

2/3 cups white paint mix with 2 2/3 cups = 8/3 cups blue paint.

so, 2/3 / 8/3 = 2×3 / 3×8 = 6/24 = 1/4.

therefore, the mix ratio white/blue paint is 1/4 (1 part white, 4 parts blue).

so, for 3 cups of white paint we need 3×4 = 12 cups of blue paint.

Answer:

x^2-15x+36

Step-by-step explanation:

x(x-12)-3(x-12)

x^2-12x-3x+36

x^2-15x+36

Answer: X^2 -15x + 36

Step-by-step explanation:

(X-3) (x-12)

Multiply each term in the first bracket by each term in the second bracket

X^2 -12x -3x + 36

Collect like terms

X^2 -15x + 36

Answer:

-15

Step-by-step explanation:

put f(-3)=-2*(-3)^2+3

Answer:  rise over run

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

Explanation:

The rate of change is the same as slope. Slope is often defined as the ratio of rise over run.

In other words, slope = rise/run.

For instance, a slope of 2/3 means we go up 2 and to the right 3 units.

Another example: slope = -1/5 means we go down 1 and to the right 5.

The term "rise" indicates a change in y. The run is the change in x. If the rise is positive, then you go up. Negative rise values mean that you go down. The run always moves to the right.

Answer:

27360

Step-by-step explanation:

38x40=1520

1520*18=27360

Answer:

7.7 × [tex]10^{6}[/tex]

Step-by-step explanation:

Start off with finding the digits in this case it would be 7,700,000

Now insert a decimal so that it is a number under 10.

That would be 7.7

to figure out what the exponent would be you have to count how many "jumps" the decimal takes to get back to the original number.

It would take 6 "jumps" to end up back to 7,700,000

Now that we have that information we can make the scientific notation

1) Take the number (7.7)

2) Multiply the number by 10 with the exponent of "jumps"

Thus,

7.7 × [tex]10^{6}[/tex]

Answer:

y = 6;  x = 12

Step-by-step explanation:

If the triangles are congruent , then their sides are corresponding.

AB ≅DE                                          DE≅ AC

7 = 2y - 5                                       3x - 13 = 11 + x

7 + 5 = 2y                                       3x - x -13 = 11

12 = 2y                                             2x - 13 = 11

6 = y                                                   2x = 11 + 13

                                                            2x = 24

                                                               x = 12

AB=DE

[tex]\\ \sf\longmapsto 2y-5=7[/tex]

[tex]\\ \sf\longmapsto 2y=12[/tex]

[tex]\\ \sf\longmapsto y=6[/tex]

[tex]\\ \sf\longmapsto 11+x=3x-13[/tex]

[tex]\\ \sf\longmapsto 2x=24[/tex]

[tex]\\ \sf\longmapsto x=12[/tex]

Diagram attached

Answer:

Please I don't understand the question or maybe I'm too young for the question I'm so sorry

Answer: Option 2

Step-by-step explanation: the slope is -3 so option 4 is wrong. Y intercept is 5 so the equation is y=-3x+5. Move the 5 to the left side and you get y-5=-3x which is option 2.

Answer:

26s+24

Step-by-step explanation:

2(3s+9) +2(10s+3)

6s +18+20s +6

26s +24= perimeter

Answer:

y ≥ [tex]\frac{3}{2}[/tex]x + 6

Step-by-step explanation:

12 ≥ 3x + 2y

Money available ≥ cost of green grapes + cost of red grapes

To turn this into slope-intercept form,

12 ≥ 3x + 2y

2y ≥ -3x + 12

y ≥ [tex]\frac{3}{2}[/tex]x + 6

Graphed - see attached

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

400!

Step-by-step explanation:

Using the principle of proportional relationship, the amount of mulch and gravel sold is 108 and 72 pounds respectively.

Creating a ratio expression thus :

Let :

Pounds of Mulch sold :

Pounds of gravel sold :

Hence, the amount of mulch and gravel sold is 108 and 72 pounds respectively.

Learn more : https://brainly.com/question/25678498

Answer:

A and C

Step-by-step explanation:

A. The prediction is reasonable.

C. No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted.

__________________________________________________________

Based on the average height-to-shoe size ratio, it is rational to predict that a man who is 80 inches tall would wear a size 16 shoe, even without there being a scatterplot for a height of 80 inches.

Answer:

base = 10cm and height = 10cm

Step-by-step explanation:

base + height = 20

base = height = 20/2= 10cm

Answer:

x= 5

Step-by-step explanation:

am isosceles triangle has 2 sides equal i.e the legs.

Using PEMDAS, the result of the expression is 692

The expression is given as:

432 + 26 * 10

Using PEMDAS, we start by evaluating the products

So, we have:

432 + 26 * 10 = 432 + 260

Using PEMDAS, we then evaluate the sum

432 + 26 * 10 = 692

Hence, the result of the expression is 692

Read more about mathematical operations at:

https://brainly.com/question/2475734