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2 years ago

8/9 divided by 2/9 Write the expression in unit form. Please explain.

2 answers:

7 0

8/9 divided by 2/9

You cant divide fractions so you switch it to muliplication. You also need to find the reciprocal so it would be 8/9 times 9/2. You could simplify 8/9 into 4/1 and simplify 9/2 into 1/1. 4/1 times 1/1 equals 4/1 also known as 4. Your answer would be 4.

mamaluj [8]2 years ago

4 0

8/9 divided by 2/9
is equal to the expression
8/9 times 9/2
~~~~~~~~~~~~~cross this line to solve~~~~~~~~
multiply both the numerators and the denominators together
(8*9) (9*2)
you will get 72/18
which is simplified to 4

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A company produces and sells 211,600 boxes of t-shirts each year. Each production run has a fixed cost of $400 and an additional

Illusion [34]

Answer: $x=46$

Step-by-step explanation:

Given

Company Produces and sells 211600 boxes of T-shirt each year

Fixed cost =$ 400

Additional cost = $ 3 per box

storage cost =$ 2

let x be the no of production run

therefore

Holding cost per year $=holding\ cost\times average\ holding\ items=2\times \frac{211600}{2x}=\frac{211600}{x}$

$Yearly\ ordering\ cost=cost\ during\ each\ order\times number\ of\ order\ Placed\ per\ year$

yearly ordering cost $=400x+3\times \frac{211600}{x}$

Total cost C(x) $=\frac{211600}{x}+400x+3\times \frac{211600}{x}$

differentiate C(x) w.r.t to x we get

$\frac{\mathrm{d} C(x)}{\mathrm{d} x}=400-\frac{3\times 211600}{x^2}-\frac{1}{211600}$

Put $\frac{\mathrm{d} C(x)}{\mathrm{d} x}=0$ to get max/min value

$400-\frac{211600}{x^2}-\frac{3\times 211600}{x^2}=0$

$x^2=\frac{211600}{100}$

$x=\sqrt{2116}$

$x=46$

therefore 46 runs must be performed

5 0

1 year ago

A three-dimensional printing pen uses heated plastic to create three-dimensional objects. A kit comes with one 3D-printing pen a

GalinKa [24]

Answer:

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Step-by-step explanation:

4 0

1 year ago

Which option lists an expression that is not equivalent to 4 2/3?

I am Lyosha [343]

Answer:

Option A and Option B are not equivalent to the given expression.

Step-by-step explanation:

We are given the following expression:

$4^{\frac{2}{3}}$

Applying properties of exponents and base:

$(a^x)^y = a^{xy}\\a^{-x}= (\frac{1}{a})^x\\$

A. Using the exponential property $a^{-x}= (\frac{1}{a})^x\\$ , we can write:

$0.25^{\frac{3}{2}} = (\frac{1}{0.25})^{\frac{-3}{2}} = (4)^{\frac{-3}{2}}$

which is not equal to the given expression.

B. Using the exponential property $a^{-x}= (\frac{1}{a})^x\\$ , we can write:

$(0.25)^{\frac{-3}{2}} = (\frac{1}{0.25})^{\frac{3}{2}} = (4)^{\frac{3}{2}}$

which is not equal to the given expression.

C. First we convert the radical form into exponent form. Then by using the property $(a^x)^y = a^{xy}$ of exponent, we can write the following:

$^3\sqrt{16} = (16)^{\frac{1}{3}} = (4^2)^{\frac{1}{3}} = 4^{\frac{2}{3}}$

which is equal to the given expression.

D. First we convert the radical form into exponent form. Then by using the property $(a^x)^y = a^{xy}$ of exponent, we can write the following:

$(^3\sqrt{4})^2 = (4^{\frac{1}{3}})^2 = 4^{\frac{2}{3}}$

which is equal to the given expression.

Option D and Option C are equivalent to the given expression.

7 0

1 year ago

Read 2 more answers

A cube has an edge of 2 feet. The edge is increasing at the rate of 5 feet per minute. Express the volume of the cube as a funct

Agata [3.3K]

Answer:

$V(m) = (2 + 5m)^3$

Step-by-step explanation:

Given

Solid Shape = Cube

Edge = 2 feet

Increment = 5 feet per minute

Required

Determine volume as a function of minute

From the question, we have that the edge of the cube increases in a minute by 5 feet

<em>This implies that,the edge will increase by 5m feet in m minutes;</em>

Hence,

$New\ Edge = 2 + 5m$

Volume of a cube is calculated as thus;

$Volume = Edge^3$

Substitute 2 + 5m for Edge

$Volume = (2 + 5m)^3$

Represent Volume as a function of m

$V(m) = (2 + 5m)^3$

4 0

1 year ago

The measure of an angle is 62.9 What is the measure of a complementary angle?

Llana [10]

By definition, complementary angles are "two angles whose sum is equal to 90 degrees." This can be expressed using the following formula:

(Angle 1) + (Angle 2) = 90

Substitute any known values into the equation:

62.9 + (A2) = 90

Subtract 62.9 from both sides if the equation:

A2 = 27.1

The measure of the complementary angle (A2) is 27.1 degrees.

I hope this helps!

6 0

2 years ago