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Y_Kistochka [10]

3 years ago

13

PLEASE HELP

1 answer:

Mumz [18]3 years ago

7 0

Well to do this, we need to know the least common multiple (LCM) of 6 and 8. Lets list the factors out.

6, 12, 18, 24, 30, 36
8, 16, 24, 32, 40, 48

As we can see, the least common multiple of 6 and 8 is 24.

Now we know that there are 8 plates per package and 8 goes into 24 3 times, so naturally Shaniya needs 3 packages of plates

Hope this helped!!! :)

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Mike deposited $200 into his

liberstina [14]

Maybe savings account

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3 years ago

3/14 x 3/14 as a fraction

nataly862011 [7]

Answer:

((3 / 14) * 3) / 14 = 9 / 196

Step-by-step explanation:

Reduce 9/196 to lowest terms 9 196 is already in the simplest form. It can be written as 0.045918 in decimal form (rounded to 6 decimal places).

5 0

2 years ago

The equation t^3=a^2 shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A

ankoles [38]

Answer:

2√2

Step-by-step explanation:

We can find the relationship of interest by solving the given equation for A, the mean distance.

<h3>Solve for A</h3>

$T^3=A^2\\\\A=\sqrt{T^3}=T\sqrt{T}\qquad\text{take the square root}$

<h3>Substitute values</h3>

The mean distance of planet X is found in terms of its period to be ...

$D_x=T_x\sqrt{T_x}$

The mean distance of planet Y can be found using the given relation ...

$T_y=2T_x\\\\D_y=T_y\sqrt{T_y}=2T_x\sqrt{2T_x}=(2\sqrt{2})T_x\sqrt{T_x}\\\\D_y=2\sqrt{2}\cdot D_x$

The mean distance of planet Y is increased from that of planet X by the factor ...

2√2

8 0

2 years ago

A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the

d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

$Trees = 24$

$Yield = 104$

$x \to additional\ trees$

So, we have:

$Trees = 24 + x$

$Yield = 104 - 2x$

Required

The additional trees to be planted for maximum yield

The function is:

$f(x) = Trees * Yield$

$f(x) = (24 + x) * (104 - 2x)$

Open bracket

$f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x$

$f(x) = 2796 + 104x - 48x - 2x^2$

$f(x) = 2796 + 56x - 2x^2$

Rewrite as:

$f(x) = - 2x^2 + 56x + 2796$

Differentiate

$f'(x) = -4x + 56$

Equate $f'(x) = -4x + 56$ to 0 and solve for x to get the maximum of x

$-4x + 56 = 0$

$-4x =- 56$

Divide by -4

$x =14$

The farmer should plant 14 additional trees, for maximum yield.

5 0

3 years ago

PLEASE HELP!!!<br> Solve for x: 3 over quantity x minus 4 equals 7 over x

uranmaximum [27]

Answer:

Solve for x

Multiply in cross

distributive property right side

subtract 3x both sides

Adds 28 both sides

Divide by 4 both sides and rewrite

Step-by-step explanation:

4 0

2 years ago