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2 years ago

Test 43,785 for divisibility by 2, 3, 5, 9, and 10.

1 answer:

3 0

43785 is not divisible by 2 because it's not an even number, and this also means it's not divisible by 10 because 10 = 2*5.

The sum of its digits is 4 + 3 + 7 + 8 + 5 = 27, which is divisible by 3 since 27 = 3*9, so 43785 is divisible by 3. We have 43785 = 3*14595.

It would be divisible by 9 if 14595 were also divisible by 3. That number has digital sum 1 + 4 + 5 + 9 + 5 = 24, which is divisible by 3, so 14595 is too and 14595 = 3*4865. So 43785 = 9*4865, and it is indeed divisible by 9.

14595 is clearly divisible by 5 because its ends with a 5.

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elena-14-01-66 [18.8K]

Answer:

<h2>B) one solution</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

linear equation
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<h3>tips and formulas:</h3>

$\sf\text{a system of linear equation has only one solution if $\frac{a_1}{a_2}\neq \frac{b_1}{b_2}$}$

<h3>given:</h3>

$\begin{cases}2x - 4y = - 1 \\ 8x - 11y = - 19 \end{cases}$

<h3>let's solve:</h3>

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2 years ago

Please solve this quick.

Ivenika [448]

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1 year ago

A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

$x_{max}=-b/2a$
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Since our function is A(L)=640L-2L², we get

a=-2
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plug in the value of a and b into the first formula:

$L_{max}=-(640)/2(-2)\implies 160$

$A(L)_{max}=640(160)-2(160)^2\implies 76800$

hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>

and we're done!

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2 years ago

Use the rules of exponents to evaluate and simplify the following expression. Type all without negative exponents. Do not distri

Rainbow [258]

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ANSWER: 1/(x^3•y^3)

Did you follow?

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2 years ago

A recipe for giant soap bubbles uses 1/2 cup dishwashing liquid and 4 1/2 cups of water. How many cups of water will be used wit

GREYUIT [131]

Answer: D. 13 1/2.

Step-by-step explanation:

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2 years ago