Which shows a difference of squares?

Answer:

yes it  is a rational number

Step-by-step explanation:

if we convert the mixed fraction into an improper fraction, we will get:

6 1/2  = 13/2

Recall that the definition of an Rational number is that it can be expressed as a division of two integers.

in our case, the numerator is 13 (which is an integer) and the denominator is 2 (which is also an integer)

hence according to our definition it is a rational number

The mixed fraction number 6 1/2 is a terminating number. Then the number is a rational number.

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

The mixed fraction number is given below.

⇒ 6  1/2

Convert the mixed fraction number into the fraction number. Then we have

⇒ 6  1/2

⇒ 6 + 1/2

⇒ (12 + 1)/2

⇒ 13/2

Convert the fraction number into a decimal number. Then we have

⇒ 13/2

⇒ 6.5

The mixed fraction number 6 1/2 is a terminating number. Then the number is a rational number.

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Answer:

Step-by-step explanation:

Given the first two numbers of a sequence as 2, 6...

If it is an arithmetic difference, the common difference will be d = 6-2 = 4

Formula for calculating nth term of an ARITHMETIC sequence Tn = a+(n-1)d

a is the first term = 2

d is the common difference = 4

n is the number if terms

Substituting the given values in the formula.

Nth term Tn = 2+(n-1)4

Tn = 2+4n-4

Tn = 4n-4+2

Tn = 4n-2

2) If the sequence us a geometric sequence

Nth term of the sequence Tn = ar^(n-1)

r is the common ratio

r is gotten by the ratio of the terms I.e

r = T2/T1

r = 6/2

r = 3

Since a = 2

Tn = 2(3)^(n-1)

Hence the nth term of the geometric sequence is Tn = 2(3)^(n-1)

Answer:

A is your answer

Step-by-step explanation:

Answer:

e 125x

f 125 x 12 =150

Step-by-step explanation:

Answer:

$640

Step-by-step explanation:

512/0.2 = 2560 quarters

2560 quarters = 640 US Dollars

Hope this helps !

The total amount that was stolen is 640 US dollars.

The weight of the amount is given by;

Weight = 512 ounces

The weight of each quarter will be;

Unit weight = 0.2 ounces

So, the total amount would be;

Total = 512/0.2

Evaluate;

The Total amount = 2560 quarters

1 quarter = $0.25

So, we have:

The Total amount = $0.25 * 2560

Now Evaluate the product

The Total amount = $640

Hence, the total amount that was stolen is 640 US dollars.

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Answer:

I=150

Step-by-step explanation:

I=Prt

I=3000(?)(?)

divide 5% by 100

I=3000(0.05)(?)

1 year= 1

I=3000(0.05)(1)

I=150

According to the question,

Principle,

Interest rate,

Time,

We know that,

→ [tex]I = Prt[/tex]

By substituting the values, we get

       [tex]= 3000\times 0.5\times 1[/tex]

       [tex]= 150[/tex]

Thus the above approach is right.

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Answer:

If you are solving the equation for x :

3x + 3y = 180

3x = -3y + 180

x = -y + 60 or x = 60 - y

If you are solving the equation for y:

3x + 3y = 180

3y = -3x + 180

y = -x + 60 or y = 60 - x

Answer:

1.75x+5<2.5x+3

Step-by-step explanation:

Answer:yes

Step-by-step explanation:

Answer:d

Step-by-step explanation:

Given that:

Membership  feet to play indoor soccer at the Sun Oaks Club = $100

Hourly rate = $10

To find:

The function f represents the  cost of playing soccer at Sun Oaks.

Here, fixed cost is $100.

Let the number of hours of playing be t.  So, total variable cost is $10t.

Total cost = Fixed cost + Variable cost

[tex]f(t)=100+10t[/tex]

So, the required function is [tex]f(t)=100+10t[/tex].

Now, if the hourly rate were halved. Then,

Hourly rate [tex]= \$ \dfrac{10}{2} = \$ 5 [/tex]

So, total variable cost is $5t and total cost function is

[tex]g(t)=100+5t[/tex]

So, the required function is [tex]g(t)=100+5t[/tex].

Answer:

1st 2nd and 4th option are correct

Answer:

B

Step-by-step explanation:

C is wrong because -11 + 4 is -7

E is wrong because you can't change the negative sign just for one value on one equation

Two numbers that are the same distance from zero are called opposites.

-8 and 8 are Opposites.

Answer:

1m+39c=y

Step-by-step explanation:

Answer:

Leah has 80 less paychecks than the weekly person.

Step-by-step explanation:

Leah is getting 24 paychecks in 2 years, Weekly person gets 104 paychecks in 2 years, 104 - 24 = 80 paychecks.

Answer:

1.) $54

2.) $21 left

3.) 15 tigers

Step-by-step explanation:

1.) If the original price of an item was $60, and it was reduced by 10%, that means it is now being sold at 90% of its original value.

To find out the new price, simply take the original value and multiply it by 90% (as a decimal).

60*.90=54

So the new price is $54

2.) This is simple subtraction. If you spend $45 on some CDs and $12 on a t-shirt, you spent a total of $57. Subtract $57 from your total of $78.

78-57=21

You are left with $21

3.) Ratios are all about multiplication. If the ratio of lions to tigers is 3:5, that means that the number of lions is going to be any factor of 3, as long as it corresponds to the same factor of 5 for the tigers.

For example, if there are 9 lions, there must be 15 tigers.

3*3=9

5*3=15

There are 15 tigers

Answer:

178.67

Step-by-step explanation:

One third written as a fraction is 1/3. You can also write it as a decimal by simply dividing 1 by 3 which is 0.33.

If you multiply 0.33 with 536 you will see that you will end up with the same answer as above.

You may also find it useful to know that if you multiply 0.33 with 100 you get 33.33. Which means that our answer of 178.67 is 33.33 percent of 536.

Answer:

6%

Step-by-step explanation:

:0

Answer:

25%

Step-by-step explanation:

i did a quiz on this the right answer is 25%

Answer:

x = 4.8

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

Answer:

C. x= 4

Step-by-step explanation:

|x + 3| = 7

x + 3 = 7

x = 7 - 3

x = 4

Answer:

x = 4

Step-by-step explanation:

|x + 3| = 7

=> x + 3 = 7

=> x = 7 - 3

=> x = 4

Answer:

that is called a repeating decimal.

Step-by-step explanation:

Answer:

A- SAS

Step-by-step explanation:

The statements tell you the outer two lines are congruent and the top two angles as well, then through the properties of equality you know the inner line is congruent to itself. That means you have two sides and an included angle making it SAS.

Answer:

answer is D

shown below

The equation of the line that is perpendicular to the given line and passes through the point (3,0) is 3y - 5x = -15.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have the points as (-3, 2) and (2, -1).

So, the slope of line

slope = (-1 -2)/ (2 -(-3))

slope = -3/5

So, the slope for the perpendicular line is

slope= 5/3

Now, using the slope intercept form

y= mx+ b

y= 5/3x + b

and, the line passes through (3, 0)

0= 5/3(3)+ b

b= -5

Then, the equation of line is

y= 5/3x -5

3y - 5x = -15

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Answer:

33.45

16x+19

20

Answer:

5⁻² = 1/25

3⁴ = 81

Step-by-step explanation:

Answer:

x=28

Step-by-step explanation:

Answer:

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