Which situation can be represented by this equation?
170 +2.5x= 325 - 4x

Answer:

(i) ³/₄ - 6/8, 9/12, 12/16, 15/20

(ii) ⁴/₅ - 8/10, 12/15, 16/20, 20/25

(iii) ⁶/₇ - 12/14, 18/21, 24/28, 30/35

(iv) ⁴/₆ - 8/12, 12/18, 16/24, 20/30

Step-by-step explanation:

Answer:

A. You can replace ‘a number’ with a variable to represent an unknown value.

C. Product means the result of multiplying two numbers.

D. The coefficient is 15.

E. In algebraic notation, you can represent the product of a number and a variable by writing the number and variable next to each other.

Step-by-step explanation:

EDGE 2020

The algebraic expression to model that "the product of a number and fifteen" is 15x, where x represents the unknown number. The statements A, C, and D are true.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The algebraic expression to model the unknown number problem "the product of a number and fifteen" is 15x, where x represents the unknown number.

From the given options, the following statements are true:

A. You can replace ‘a number’ with a variable to represent an unknown value.

C. Product means the result of multiplying two numbers.

D. The coefficient is 15.

B. is false because the product means the result of multiplying two numbers, not adding them.

E. is not necessarily true for all cases. The product of a number and a variable can be represented in different ways depending on the context and convention, such as using a dot or parentheses.

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ3

Answer:

x=2

Step-by-step explanation:

7=5x-3

10=5x

2=x

x=2

Answer:

x < -7 or x > -4

Step-by-step explanation:

Answer:

C. 25

Step-by-step explanation:

Lets just first do 5-² = .04

So it will look like this

[tex]\frac{1}{1/25}[/tex] To do this all you have to do is flip 1/25 to 25/1 so that you can multiply instead on divide.

It will look like this

.[tex]\frac{1}{1}*\frac{25}{1}=\frac{25}{1}[/tex] = 25

Sorry I took so long hope this helps!!

Step-by-step explanation:

Hey there!

The point shows the coordinates of (-2,1) and (4,6).

Now, When two points are given on a st.line, we use double point formula.

So, use formula;

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]

Put all values of x and y coordinates.

[tex](y - 1) = \frac{6 - 1}{4 + 2} (x + 2)[/tex]

Simplify it.

[tex](y - 1) = \frac{5}{6} (x + 2)[/tex]

[tex]y = \frac{5}{6} x + 2 \times \frac{5}{6} + 1[/tex]

[tex]y = \frac{5}{6} x + \frac{ 8}{3} [/tex]

Therefore, the equation of a line is y= 5/6x+8/3.

Hope it helps...

Put a finger up. You have 1. Add 1 another finger by putting another finger up. If you count how many there are you get 2.

So 1+1 = 2.

Seriously though... why ask this.

Answer:

84

Step-by-step explanation:

Answer:

Two angles are complementary angles if the sum of their measures is 908.

Each angle is the complement of the other. Two angles are supplementary

angles if the sum of their measures is 1808. Each angle is the supplement of

the other.

Complementary angles and supplementary angles can be adjacent angles

or nonadjacent angles. Adjacent angles are two angles that share a common

vertex and side, but have no common interior points.

Step-by-step explanation:

it easy

Answer: the first one

Step-by-step explanation:

No constant rate of change

Answer:

  multiply the magnitudes of the numbers; affix a negative sign.

Step-by-step explanation:

The product of a positive number and a negative number is the negative of the product of their numerical values.

For example, ...

  (2)(-3) = -(2×3) = -6

  (-2)(3) = -(2×3) = -6

Answer:

Whenever you multiply two numbers with different signs, the answer is always NEGATIVE.

Answer:

167.9166459

Step-by-step explanation:

Answer:

Step-by-step explanation:

vertex form of an equation of the parabola:  

f(x) = a(x - p)² + q

vertex (0, 3)  ⇒  p = 0,  q = 3

so:

   f(x) = a(x - 0)² + 3

    f(x) = ax² + 3

the parabola goes through point (1, -4)  ⇒  x=1,  f(x)=-4

   -4 = a(1)² + 3

   -4 = a + 3

    a = 7

Therefore the equation of the parabola in vertex form:

f(x) = 7x² + 3

Answer:

y=x+4

y=6x-1

y=x+3

No picture of graph sorry cant describe how I would set these on a number line

Answer:

y=x+4

y=6x-1

y=x+3

Step-by-step explanation:

When an answer to a question uses the greater than symbol, that means any number above the number used is a possible answer to the equation. However, when it's just a simple "x = 2", then 2 is the only possible answer to that equation. Think about it as if it were on a graph. In the attached file I have a graph that is displaying the equation "x > 4". The entire shaded area to the right of 4 could be a possible answer.

Hope this helps.

Answer:

2.375 or 2 3/8

Step-by-step explanation:

You want to do total weight over total number of items.

14 1/4 / 6 books = 2.375

Answer:

14.25 / 6 = 2.375 or 2 3/8

Answer:

17 minutes

Step-by-step explanation:

To answer this question, all we have to do is subtract the original amount of money on the phone card by what is remaining after Keiko's call:

20 - 17.28 = 2.72

Now, we divide this number by 0.16:

2.72 / 0.16 = 17

So, Keiko's call lasted 17 minutes

Hope this helps :)

Answer:

x = 9.

Step-by-step explanation:

The first step I did was replace y with 6.

[tex]2x+3\cdot \:6=36[/tex]

I multiplied 3*6 next.

[tex]2x+18=36[/tex]

Then I subtracted 18 from both sides of the equation.

[tex]2x+18-18=36-18[/tex]

After, I simplified the equation.

2x=18

Divided the both by 2 and then simplified again to get...

[tex]\frac{2x}{2}=\frac{18}{2}[/tex]  

[tex]x=9[/tex]

So [tex]x=9[/tex].

Answer:

56

Step-by-step explanation:

z + 12w when z = 8 and w = 4

~Substitute

8 + 12(4)

~Simplify

8 + 48

~Add

56

Best of Luck!

We are provided with the value of z and w:

We have to find the value of z + 12w.....?

Since we have to find the value of the polynomials for the given values of variables. Plug the given values of z and w in the above question:

➝ z + 12w

➝ 8 + 12(4)

➝ 8 + 48

➝ 56

So, the required value of the polynomial is 56.

Carry on Learning [tex]![/tex]

Answer:

x and y vertex is (-2,-9)

and the x-intercept(s): (1,0), (-5,0)

I hope this helps

if you could, feel free to mark me Brainliest it would be much appreciated :D

Answer:

I dont really know

Step-by-step explanation:

Answer:

Not sure what you mean, but I'm assuming you're referring to the sum of all the interior angles of a polygon. In that case:

Total sum of interior angles of a polygon ->

                               [tex]{180(n-2)[/tex]

However, if you are looking for the degrees of each interior angle, you must divide the total interior angle degrees by the amount of sides on the polygon, n

Degree of each interior angle of a polygon ->

                               [tex]\frac{180(n-2)}{n}[/tex]

In both cases, n represents the amount of sides the polygon has.

Answer:

50 cups of coffee

Step-by-step explanation:

So what you do is take 3.50 then subtract 1.50 to get the profit of one cup of coffee. ($2) Then you do the $100 and divide it by the $2 and find out how many cups of coffee he has to sell to get to the $100. (50)

The greatest common factor is 4.

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

4x-3 = 2x+7.​

Subtract 2x from each side

4x-2x-3 = 2x-2x+7.​

2x-3 = 7

Add 3 to each side

2x-3+3 = 7+3

2x= 10

Divide by 2

2x/2 = 10/2

x = 5

Answer:

x=5

Step-by-step explanation:

4x -3 = 2x +7

Let's start by getting the 2x away from the seven. Subtract the 2x from itself and from 4x. We will subtract 2 because a negative will cancel out the positive.

2x -3 = +7

Now let's get the -3 away from 2x. Add 3 to the -3 and the +7. We will add because a positive will cancel out the negative.

2x = +10

Then divide +10 by 2 to get the final answer.

Answer:

n = 4

Step-by-step explanation:

3n + 16 = 7n

Cancel out the 3n by subtracting it from both sides

16 = 4n

Divide both sides by 4 so you are left with n=

4 = n

Answer:

[tex]n=4[/tex]

Step-by-step explanation:

To start off you need to subtract 3n from both sides. That would leave you with:

[tex]16=4n[/tex]

Next, you need to divide both sides by 4, since this equation is equal to [tex]n*4[/tex] and we only want a single n, not multiple. That would give us the answer:

[tex]4=n[/tex]

To find m, we can use the formula y2 - y1 / x2 - x1

x1 = 2

y1 = 50

x2 = 4

y2 = 90

Let's plug these numbers into our formula.

m = 90 - 50 / 4 - 2 = 40/2 = 20

So far our equation looks like: y = 20x + b

Now, let's plug one of the points into our equation.

50 = 20(2) + b

Simplify

50 = 40 + b

Subtract 40 from both sides.

10 = b

The final equation is: y = 20x + 10