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3 years ago

Given any two numbers, which is greater, the LCM of the numbers or the GCF of the numbers? Why?

1 answer:

6 0

The LCM of two given numbers will be greater. For example, a factor is the two numbers multiplied together to get that certain m=number that you chose, which is usually pretty less, than the LCM is the multiple of those certain numbers, and if you put those together the answer to the factors (multiples) are most larger than the factors itself.

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A woman bought some large frames for $10 each and some small frames for $5 each add a closeout sale if she bought 20 frames for

vampirchik [111]

Answer:

The quantity of large frames is 7

The quantity of small frames is 13

Step-by-step explanation:

Given as :

The price of each large frames = $ 10

The price of each small frames = $ 5

The total number of both frames bought = 20

The price for both the frames = $ 135

Now,

Let the quantity of large frames = L

And The quantity of small frames = S

So , According to question

The total number of both frames bought = 20

Or, The quantity of large frames + the quantity of small frame = 135

Or, L + S = 20 ......A

And $ 10 L + $ 5 S = $ 135 ................B

Or, $ 10× ( L + S ) = $ 10× 20

Or, $ 10 L + $ 10 S = $ 200

( $ 10 L + $ 10 S ) - ( $ 10 L + $ 5 S ) = $ 200 - $ 135

Or , ( $ 10 L - $ 10 L ) + ( $ 10 S - $ 5 S ) = $ 65

Or, 0 + 5 S = 65

∴ S = $\frac{65}{5}$

I.e S = 13

So, The quantity of small frames = S = 13

Put the Value of S in eq A

So , L + S = 20

Or, L = 20 - S

Or, L = 20 - 13

∴ L = 7

So, The quantity of large frames = L = 7

Hence The quantity of large frames is 7

And The quantity of small frames is 13 Answer

7 0

3 years ago

Find f(-3) if f(x) = x 2.

vlabodo [156]

Answer:

f(-3) = 9

Step-by-step explanation:

Lets define f(a) first where a is any integer,

f(a) is found out by putting the integer in the function in place of the variable

So for the given question

$f(x) = x^{2}$

In order to find f(-3) we will put -3 in place of x

So putting -3,

$f(-3) = (-3)^{2}$

$f(-3) = 9$

So, the value of function at -3 is 9 ..

5 0

3 years ago

Read 2 more answers

If $16 is 80% of the money I have in my wallet, how much do I have in total?

pychu [463]

Answer:

$20

Step-by-step explanation:

to check

16/20

divide

= .80

times 100

80%

3 0

3 years ago

Read 2 more answers

Let f(x, y) = (x + y)e x 2−y 2 and R be the rectangle enclosed by the lines x − y = 0, x − y = 2, x + y = 0, and x + y = 3.

dalvyx [7]

Answer:

(1/4)*(e⁶ - 7)

Step-by-step explanation:

a) Given

x − y = 0 if x = 0 ⇒ y = 0

x − y = 2 if x = 0 ⇒ y = -2; if y = 0 ⇒ x = 2

x + y = 0 if x = 0 ⇒ y = 0

x + y = 3 if x = 0 ⇒ y = 3; if y = 0 ⇒ x = 3

then we show the region R in the pics 1 and 2.

b) We make the change of variables as follows

u = x + y

v= x - y

x - y = 0 ⇒ v = 0

x − y = 2 ⇒ v = 2

x + y = 0 ⇒ u = 0

x + y = 3 ⇒ u = 3

Where u is the horizontal axis and v is the vertical axis, the new region S is shown in the pic 3.

c) We evaluate ∫∫R (x + y)*e∧(x² - y²)dA

The procedure is shown in the pic 4, where we have to calculate the Jacobian in order to use it to get the answer.

7 0

3 years ago

Joel is designing a ramp for a bike trick. He draws this diagram. What is the value of x?

inn [45]

Answer:

x = -1

x = 5

Step-by-step explanation:

Use pythagorean theorem: a² + b² = c²

x² + (2x + 2)² = (2x + 3)²

Since these are quantities, you'll have to make them into quadratic equations.

(2x + 2)(2x + 2) = 4x² + 4x + 4x + 4

(2x + 3)(2x + 3) = 4x² + 6x + 6x + 9

x² + 4x² + 4x + 4x + 4 = 4x² + 6x + 6x + 9

Combine like terms

5x² + 8x + 4 = 4x² + 12x + 9

Move one side to set the equation equal to 0

x² - 4x - 5 = 0

Solve

x² - 5x + x - 5 = 0

x(x - 5) + 1(x - 5) = 0

(x + 1)(x - 5) = 0

x = -1, 5

We can check that these are correct by plugging them in for x and seeing if they are equal

For example

(-1)² + (2(-1) + 2)² = (2(-1) + 3)²

1 = 1

3 0

3 years ago