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2 years ago

Solving inequalities using multiplication or division

Mathematics

2 answers:

raketka [301]2 years ago

7 0

Answer:

1. n > 7

2. n > 55

Step-by-step explanation:

1. 14/2 = 7

2. 11 x 5 = 55

DaniilM [7]2 years ago

4 0

1. 2n/2 > 14/2

n > 7

2. (n/5)5 ≥ (11)5

n ≥ 55

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6. Select all the expressions that are equivalent to 10-6. 1 a. 1000000 b. 1000000 1 C. 106 d. 108 . 10-2 6 10 e. 10 1 f. 10-10-

zhuklara [117]

N/A

Step-by-step explanation: Just pay attention Haden

7 0

3 years ago

Hey 20 points for the first person to show work and answer this

Harrizon [31]

Step-by-step explanation:

First, the pizza is 18 inches in diameter, so

$d = 18$

and, because the radium is half of the diameter,

$r = 9$

Note that the units are inches.

Using the equation

$a = \pi r ^{2}$

where a is the area of a circle, we know that the area of the whole pizza is approx.254.5 square inches. Divide by 8 to find the area of 1/8 of a pizza. Each slice will have an area of approx. 32 square inches. For a precise result, the answer is

$a(s)= \frac{(\pi \times 9^{2})}{s}$

where a(s) is the area of a slice of pizza, and s is the total number of slices, given they are equal in size.

5 0

3 years ago

Please, help thanks! I would like an explanation how to do it too, IF you dont mind.

Aneli [31]

Answer:

Phoebe has £180, Andy has £60, and Polly has £30.

Step-by-step explanation:

Ok, to start of let's establish some variables! We'll give Phoebe the variable "p", Andy the variable "a", and Polly the variable "o". By giving each person a variable we can create an equation and solve for it!

So, what do we know?

Well we know the following information...

p + a + o = 270

(Phoebe + Andy + Polly = £270)

p = 3a

(Phoebe = 3 times more than Andy)

a = 2o

(Andy = 2 times more than Polly)

To be able to solve this equation we have to solve for just one variable first.The only one we can use is "o" for Polly!

3(2o) + 2o + o = 270

6o + 2o + o = 270 (Distribute 3 to get like terms)

9o = 270 (Combine like terms [6+2+1])

o = 30 (Divide by 9 on both sides to get "o" by itself)

Now that we have how much Polly has, we have to solve for Andy and Phoebe. (To do this we will input our value, 30, where our variable is "o")

Andy

a = 2(30) (Input term)

a = 60 (Multiply by 2 to get final answer)

(Since we now know what Andy has we can input 60 into our "a" variable to solve for Phoebe)

Phoebe

p = 3(60) (Input term)

p = 180 (Multiply by 3 to get final answer)

Now! Just to check we are going to input our variables into our original equation to be sure we have the right variables.

p + a + o = 270

180 + 60 + 30 = 270!!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

4 0

2 years ago

Determine the next step for solving the quadratic equation by completing the square

GaryK [48]

Answer:

The two solutions are: $x=\frac{1}{2}+/-\frac{\sqrt{7} }{2}$

The next and every step are below.

Explanation:

1. $-3=-2x^2+2x$ : Given (addition property / add - 3 to both sides)

2. $-3 = - 2(x^2-x)$ : Given (commom factor - 2)

3. $-3-1/2=-2(x^2-x+1/4)$

To obtain the perfect square it was added the square of half of the coefficient of x: (1/2)² = 1/4, inside the parenthesis.

Since, the terms inside the parentthesis are multiplied by - 2, you have to add - 2 (1/4) = - 1/2 to the left side of the equation.

4. Now, you have that the trinomial x² - x + 1/4 is a square perfect trinomial which is factored as (x - 1/2)² and get the expression:

$-7/2=-2(x-1/2)^2$

5. Divide both sides by - 2 to get the next expression:

$-7/4=(x-1/2)^2$

6. The last step is to extract squere root from both sides of the equality:

$(x-1/2)=+/-\sqrt{\frac{7}{4}}\\ \\ x-1/2=+/-\frac{\sqrt{7} }{2}\\ \\ x=\frac{1}{2}+/-\frac{\sqrt{7} }{2}$

8 0

2 years ago

So what's the tip? ???????????

Ganezh [65]

If the total for the bill was the 284 written in then this is the answer as follows

284*0.25=71

Tip = $71.00

6 0

3 years ago