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pickupchik [31]

4 years ago

15

Which expression is equivalent to the one shown below? 3 ( 4 g + 11 )

1 answer:

Kay [80]4 years ago

6 0

Answer:

12g + 33

Step-by-step explanation:

The equivalent form is an expression which is equal to it. It can be simplified or expanded. Here let's simplify by applying the distributive property.

3(4g + 11) = 12g + 33

This is the simplified form.

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Select the fraction that is equivalent to 0.0368.

defon

Since the last number past the decimal is in the ten thousands place, the faction would then be 368/10,000 which can then be reduced to lowest terms to 23/625.

*If you have any questions on how this was solved, please ask me! I'd be happy to help anytime!

5 0

3 years ago

1.5 inches represents 3 feet how many inches will be needed to represent 24 feet on a map

gavmur [86]

Answer:

12

Step-by-step explanation:

You would go 24 divided by 3 which equals 8

then 8 times 1.5

6 0

3 years ago

Read 2 more answers

The tax rate is 7.25%. A set of golf clubs costs $200.<br> What is the total price, including tax?

snow_tiger [21]

B.207.25 is the answer

3 0

3 years ago

Read 2 more answers

Which Number is one tenth as much as 0.3

ivolga24 [154]

0.03333 that is your answer thank you for asking me

3 0

3 years ago

What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 27 − x^2? show your

LUCKY_DIMON [66]

Answer:

Option B.

Step-by-step explanation:

The given curve is

$y=27-x^2$

We need to find the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve $y=27-x^2$ .

Let the vertex in quadrant I be (x,y), then the vertex in quadrant II is (-x,y) .

Length of the rectangle = 2x

Width of the rectangle = y

Area of a rectangle is

$Area=Length\times width$

$Area=2x\times y$

Substitute the value of y from the given equation.

$Area=2x(27-x^2)$

$A=54x-2x^3$ .... (1)

Differentiate with respect to x.

$\frac{dA}{dx}=54-6x^2$

Equate $\frac{dA}{dx}=0$ , to find the critical points.

$0=54-6x^2$

$6x^2=54$

Divide both sides by 6.

$x^2=9$

$x=\pm 3$

The value of x can not be negative because side length can not be negative.

Substitute x=3 in equation (1).

$A=54(3)-2(3)^3$

$A=162-54$

$A=108$

The area of the largest rectangle is 108 square units.

Therefore, the correct option is B.

7 0

3 years ago