Generalize Algebra Find the unknown number.
15. 12, 24, 36, ____

Let's use the variable, x, to represent the unknown number.

We can represent the words, "the sum of a number and six, as : x + 6

The words, " 2 less than the sum", can be represented as: x + 6 - 2

The words, "the product of the number and three", can be written as: 3x

Now create an equation using "is equal to" to join the expressions:

x + 6 -2 = 3x

Now combine like terms and use inverse operations to solve for x:

x + 6 -2 = 3x

x + 4 = 3x

x + 4 - x = 3x - x

4 = 2x

4/2 = 2x/2

2 = x

The unknown number is 2

Answer: i think i would be half of it

Step-by-step explanation:

Answer:

Everyone got 52/25 = 2.08 slices of pizza.

Step-by-step explanation:

1 large sized pizza = 8 slices

6.5 large sized pizzas = 52 slices

52/25 = 2.08

Hope this helps :D

Answer:

The value of 'x' will be;

⇒ x = 2√3

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is shown in figure.

Now,

We know that;

⇒ tan θ = Perpendicular / Base

Here, Perpendicular distance = x

And, Base = 6

Substitute all the values, we get;

⇒ tan θ = Perpendicular / Base

⇒ tan 30° = x/6

⇒ 1/√3 = x/6

⇒ x = 6/√3

⇒ x = 2√3

Thus, The value of 'x' will be;

⇒ x = 2√3

Learn more about the triangle visit:

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Answer:

Of the basketball players on the team, exactly 75% of the players have heights above 180

Step-by-step explanation:

So, they are 12 basketball players in total

1 - 170 - This is 1/12

2 - 175 - This is 1/6

1 - 180 - This is 1/12

4- 185 - This is 1/3

3 - 190 - This is 1/4

1 - 195 - This is 1/12

75% (Or 3/4) have heights above 180

Therefore, the answer is B

Answer:

Step-by-step explanation:

Identify the method that will be used to solve for x for each equation.

4x=20 division property  fo equality

x-11=9 addition property of eqaulity

5x+6x=22 Combining Like terms

5(x-2)=30 distibute property

HOPE THIS HELPS!!!!!!!!

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Answer:

Amelia needs to invest $989.57.

Step-by-step explanation:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Amelia is going to invest in an account paying an interest rate of 2.3% compounded quarterly.

This means that [tex]r = 0.023, n = 4[/tex].

How much would Amelia need to invest, to the nearest hundred dollars, for the value of the account to reach $1,530 in 19 years?

We have to find P for which [tex]A(t) = 1530[/tex] when [tex]t = 19[/tex]. So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]1530 = P(1 + \frac{0.023}{4})^{4*19}[/tex]

[tex]P = \frac{1530}{(1 + \frac{0.023}{4})^{4*19}}[/tex]

[tex]P = 989.57[/tex]

Amelia needs to invest $989.57.

Step-by-step explanation:

12800000

or 567777000

$27500000

Answer: 1.19 dollars/quart x 1 quart/ 32 ounces = .037 = 3.7 cents per ounce

Step-by-step explanation:

when you set up the multiplication, since quarts are in the denominator initially and you want to get rid of them, set the quarts in the numerator of the unit rate (1 quart/ 32 ounces) so that the units cancel and you are left with the units that you wanted ($/ounce).

Answer:

24/20 cups or 6/5 cups.

Step-by-step explanation:

Good luck :)

I have attached an image showing the diagram.

Answer:

-2 m/s²

Step-by-step explanation:

From the diagram, in decelerating from between 60 to 70 seconds, it moved from a velocity of 20 m/s to 0 m/s.

Thus, using Newton's first equation of motion, we can find the deceleration;

a = (v - u)/t

Time (t) = 70 - 60 = 10 s

Final velocity (v) = 0 m/s

Initial velocity (u) = 20 m/s

Thus;

a = (0 - 20)/10

a = -20/10

a = -2 m/s²

Answer: last week she earned $364.

Step-by-step explanation:

Answer:

wait huh?

Step-by-step explanation:

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c

Answer:

95

Step-by-step explanation:

Ok so

so firs what we do is

1150/12 and ignore remainder

95 and remainder is 10

therefore we have 95 trucks full and 10 cars in the last truck

Answer:

The slope -2 is and the y intercept is 12

Step-by-step explanation:

First, let's find the slope. We'll use the equation m=(y2-y1)/(x2-x1) (m is the slope)

Let's take any two points from the graph. For example, let's take (-3, 18) and (0,12)

Now label the points

x1=-3

y1=18

x2=0

y2=12

now substitute into the equation

m=(12-18)/(0--3)

m=(12-18)/(0+3)

m=-6/3

m=-2

So the slope is -2.

The y intercept is the point in which the line crosses the y axis. The x value is 0, while the y value is a number. Looking at the table, the y intercept is actually there; it's the point (0,12) (the second point there)

Therefore the y intercept is 12

Hope this helps!

Answer: y = 10x+14  (choice A)

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

Work Shown:

y = 7(x+2)+3x

y = 7x+7*2+3x ..... distribute

y = 7x+14+3x

y = (7x+3x)+14

y = 10x+14

This is in y = mx+b form with m = 10 as the slope and b = 14 as the y intercept.

Answer: The answer is A (y=10x+14)

Answer:

easy do you want to get (15,20,25) from (3,4,5)and from(5,12,13)

Step-by-step explanation:

Arnav can use the fact that scaling doesn't affect the angles of a triangle, and that (3,4,5) is already stated being a Pythagorean triple.

Similar figure are zoomed in or zoomed out (or just no zoom) version of each other. They are scaled version of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.

So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:

where 'k' will be called as scale factor.

The linear things grow linearly like length, height etc.

We're given that:

(3,4,5) is a pythagorean triple.

Let ABC be a right angled triangle possessing those sides (as the side lengths of a right angled triangle form pythagorean triple).

Scale each side of ABC by scale factor of 5, then we get:

(15, 20, 25) as a triple.

When scaling a figure, angles in it doesn't change because of angle being a relative quantity, not depending on the length of sides, but on the degree of rotation between two sides, which is unaffected because of scaling.

That means, that right angled triangle ABC, when scaled is still right angled triangle (because of its one of the angle 90 degrees still being 90 degrees in the new scaled triangle), but its sides are (15,20,25).

Now, since the triple (15,20,25) is side lengths of a right angled triangle, therefore, it is a pythagorean triple.

Thus, arnav can use the fact that scaling doesn't affect the angles of a triangle, and that (3,4,5) is already stated being a Pythagorean triple.

Learn more about scale factor here:

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Answer:

i think it is 12

Step-by-step explanation:

Answer:For the first one it would be x=35

And the 2nd one would just be x=-1

Step-by-step explanation:

Answer:

100 :P when u read to fast n then put 2500 lol

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Let the number be x.

3 + 4x = 19

4x = 19 - 3

    = 16

x = 16 ÷ 4

x = 4

The number is 4.