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An electronics store keeps track of the number of computers sold. Last month, 30% of the computers were notebooks. If the store sold 390 notebooks last month, what was the total number of computers sold in the same month?

Answer: (x^2-y^2) (x^2+y^2)  and  (x-y)(x+y)(x^2+y^2)

Step-by-step explanation:

Expand (x2 − y2) (x2 + y2) using the FOIL Method.

Apply the distributive property.

x^2 (x^2 + y^2 ) − y^2 (x^2 + y )

Apply the distributive property.

x^2 x^2 +x^2 y^2 - y^2 (x^2 y^2 )

Apply the distributive property.

x^2 x^2 + x^2 y^2 - y^2 x^2- y^2 y^2

Combine the opposite terms in x^2 x^2 + x^2  y^2 - y^2  x^2 - y^2 y^2.

Reorder the factors in the terms x^2 y^2 and − x^2 y^2.

x^2 x^2+ x^2 y^2 - x^2 y^2 - y^2 y^2

Subtract 2 2 from 2 2.

x^2 x^2+ 0 - y^2 y^2

Add 2  2 and 0.

x2 x2- y2 y2

Simplify each term.

Multiply x2 by x2 by adding the exponents.

x^4 − y^2y^2

x^4 − y^4

(x − y) (x + y) (x^2 + y^2)

Expand (x − y) (x + y) using the FOIL Method.

(x ⋅ x + xy − yx − y ⋅ y) (x^2 + y^2)

Combine the opposite terms in x ⋅ x + xy − yx − y ⋅ y.

(x ⋅ x − y ⋅ y) (x^2 + y^2)

(x^2 − y^2) (x^2 + y^2)

Expand (x^2 − y^2) (x^2 + y^2) using the FOIL Method.

Apply the distributive property.

x^2 (x^2 + y^2) − y^2 (x^2 + y^2)

Apply the distributive property.

x^2 x^2 + x^2y^2 - y^2 (x^2 + y^2)

Apply the distributive property.

x^2 x^2 + x^2 y^2 - y^2 x^2 - y^2 y ^2

Combine the opposite terms in x^2x^2 + x^2y^2 − y^2x^2 − y^2y^2.

x^2x^2 − y^2y^2

x^4 − y^4

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Answer:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly. ( x − 7 ) ( x + 6 ) ( x + 7 ) ( x 2+ 66 ) ( x − 4 )

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

0-10 is obvious because when you look at the chart you can clearly see that theres alot kidsof

Answer:

[tex] \sqrt{13} [/tex]

in decimal form is 3.60555127

Answer:

the fourth option: cannot be determined

Step-by-step explanation:

So the first option is the same as 21 times 9 which is more than 9, so it is incorrect.

The second option is the same as 2.3 times 21 and again its incorrect.

the third option  

the fourth option has the same outcome because the fractions are equal.

therefore it cannot be determined

Answer:

FV= 111,529.37 = 111,529

Step-by-step explanation:

Giving the following information:

Initial amount (PV)= 12,000

Growth rate (g)= 45% = 0.45

First, we will establish the future value formula:

FV= PV*(1+g)^n

FV= future value

n= number of days

FV= 12,000*(1.45^n)

For 6 days:

FV= 12,000*(1.45^6)

FV= 111,529.37

Answer:

2

Step-by-step explanation:

Answer:

2/1......................

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

When n = 7

hence, the given expression is equal to 10, when n = 7

Answer: The scale factor from the first map to the second map is 4:3 (four to three) The side lengths of the landmark on the second map is 9/4 mm, 3 mm, 15/4mm.

Step-by-step explanation:

The scale factor is 8:6 which can be simplified to 4:3.

The side lengths of the landmark on the second map follows the same scale 4:3, so going in order:

4:3 = 3:x

4x = 9

x = 9/4

4:3 = 4:y

y = 3

4:3 = 5: z

4z = 15

z = 15/4

Answer:

1: divide the two numbers and then multiply by 100

2: 28%

3. 27%

Step-by-step explanation:

2. 7/25= .28 -> .28x100= 28

3. 27/100= .27 -> .27x100= 27

Answer:

[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)=-2[/tex]

Hence, option B) is true.

Step-by-step explanation:

Given

g(t) = t² - 2

h(t) = t + 4

To determine

[tex]\left(g\:\circ \:\:h\right)\left(-4\right)=?[/tex]

Using the formula

[tex]\left(g\:\circ \:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)[/tex]

In order to determine g(h(-4)), first we need to determine h(-4), so

substituting t = -4 in h(t) = t + 4

h(t) = t + 4

h(-4) = -4 + 4

h(-4) = 0

so we can write

[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)=g\left(0\right)[/tex]

now, to determine g(0), substitute t = 0 in g(t) = t² - 2v

g(t) = t² - 2

g(0) = (0)² - 2

g(0) = 0 - 2

g(0) = -2

so, finally we get

[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)=g\left(0\right)=-2[/tex]

Therefore,

[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)=-2[/tex]

Hence, option B) is true.

Answer: 82.3 g

Step-by-step explanation:Moles Cu = 300 g x 1 mol Cu/63.55 g = 4.72 moles Cu

Moles Zn = 4/15(4.72) = 1.26 moles

mass Zn = 1.26 moles x 65.38 g/mol =

Answer:

Two segments are congruent if and only if they have the same measure.

Step-by-step explanation:

Because they have the same measurement which means that they are congruent if they have the same measure.

Answer:

Answer is 10:15:35

Step-by-step explanation:

Let the ratio be 2x,3x,7x

then according to question;

2x+3x+7x=60

12x=60

x=5

now put value of x in the ratios

2x=2x5

=10

3x=3x5

=15

7x=7x5

=35

thus,weight of three bags are 10:15:35

I hope it's helpful!

Answer:

The equation of the line that passes through points is m = 6/4

Step-by-step explanation: sorry if this is wrong

Answer:

= 1 : 4

Step-by-step explanation:

14 : 56 in it's simplest form

= 14 / 56

= 1/4

= 1 : 4

14 : 56 = 1 : 4

Therefore, 14 : 56 in it's simplest form is 1 : 4

Answer:

(-0.67412648,-047682599)

Step-by-step explanation:

Answer:

5=135

7=45

Step-by-step explanation:

Set them equal to 180. So i started plugging in numbers and subtracting them by 90. Then add it back to the number until i got 180.

Answer:

176.7 in²

Step-by-step explanation:

The formula for the area of a circle is πr².

But first, you have to find the radius. The radius is half of the diameter, which is the length from one edge of the circle to the other.

Here the diameter is 15 in. Divide the diameter by 2 to get the radius.

r = 15 ÷ 2 = 7.5 in

Now plug the radius into the formula and solve for the area.

A = πr²

A = π(7.5)²

A = π(56.25)

A = 176.7145868 ⇒ 176.7 in²

Hope that helps.

Answer:

its c and no im not scaming L o l

Step-by-step explanation:

Answer:

Step-by-step explanation:

9/7

Hope it helped you.

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9514 1404 393

Answer:

  3.14 cm ≈ 1.235 in

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

Solving for r, we find ...

  r = √(V/(πh))

For the given values, the radius is ...

  [tex]r=\sqrt{\dfrac{150\pi\text{ cm$^3$}}{\pi(6\text{ in})(2.54\text{ cm/in})}}=\sqrt{\dfrac{25}{2.54}}\text{ cm}\approx\boxed{3.14\text{ cm}}[/tex]

Answer: 9:4

Step-by-step explanation:

I think

Answer: 4.8

Step-by-step explanation:

Answer:

9²

Step-by-step explanation:

9⁷ / 9⁵

9⁽⁷⁻⁵⁾

9²

Answer:

The actual pressure is 36.50

Step-by-step explanation:

Given that:

Tire pressure reading = 8% higher

Reading = 39.42

As 100% will be the actual reading.

New reading = (100+8)% = 108%

Let,

x be the actual pressure of the tire

108% of x = 39.42

[tex]\frac{108}{100}x=39.42\\1.08x = 39.42[/tex]

Dividing both sides by 1.08

[tex]\frac{1.08x}{1.08}=\frac{39.42}{1.08}\\x=36.50[/tex]

Hence,

The actual pressure is 36.50