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3 years ago

What is the sum (2/5 x +5/8)+(1/5 x - 1/4)?

1 answer:

3 0

$\left(\dfrac{2}{5}x+\dfrac{5}{8}\right)+\left(\dfrac{1}{5}x-\dfrac{1}{4}\right)=\left(\dfrac{2}{5}x+\dfrac{1}{5}x\right)+\left(\dfrac{5}{8}-\dfrac{1}{4}\right)\\\\=\dfrac{2+1}{5}x+\left(\dfrac{5}{8}-\dfrac{1\cdot2}{4\cdot2}\right)=\dfrac{3}{5}x+\left(\dfrac{5}{8}-\dfrac{2}{8}\right)\\\\=\dfrac{3}{5}x+\dfrac{5-2}{8}=\boxed{\dfrac{3}{5}x+\dfrac{3}{8}}$

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A craftsman can sell 10 jewelry sets for $500 each. He knows

liraira [26]

Answer:15

Step-by-step explanation:

Given

Craftsman sell 10 Jewelry set for $500 each

For each additional set he will decrease the price by $ 25

Suppose he sells n set over 10 set

Earning $=\text{Price of each set}\times \text{no of set}$

Earning $=(500-25n)(10+n)$

$E=5000+500n-25n^2-250n$

differentiate to get the maximum value

$\frac{dE}{dn}=-50n+250$

Equate $\frac{dE}{dn}$ to get maximum value

$-50n+250=0$

$n=\frac{250}{50}$

$n=5$

Thus must sell 5 extra set to maximize its earnings.

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3 years ago

A plant 3 in. tall grows an average of 0.5 in. each month. Which equation models the flowers height h after x months?

Luden [163]

Answer:the answer is b

Step-by-step explanation:

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3 years ago

Pls help me with this answer choice question! brainliest, rattings, thanks etc.

galina1969 [7]

Answer:

graph B

Step-by-step explanation:

Given

3y - 5x < - 6

Since the inequality is < then the line must be broken

If ≤ then line would be solid

The only possible graphs are B and D

Choose a test point in the shaded region of each graph and check validity

graph B (2, 0) ← substitute into left side of inequality

0 - 5(2) = 0 - 10 = - 10 < - 6 ← this is valid

graph D (0, 0 ) ← substitute into left side of inequality

0 - 0 = 0 > - 6 ← this is not valid

Hence graph B is the correct graph

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3 years ago

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sveta [45]

Answer:

$\displaystyle n^3-\frac{1}{n^{2}}$

Step-by-step explanation:

<u>Exponents Properties</u>

We need to recall the following properties of exponents:

$(a^x)^y=(a^y)^x=a^{xy}$

$\displaystyle a^{-x}=\frac{1}{a^x}$

We are given the expression:

$2^m=n$

We need to express the following expression in terms of n.

$8^m-4^{-m}$

It's necessary to modify the expression to use the given equivalence.

Recall $8=2^3 \text{ and }4 = 2^2$ . Thus:

$(2^3)^m-(2^2)^{-m}$

Applying the property:

$(2^m)^3-(2^m)^{-2}$

Substituting the given expression:

$n^3-n^{-2}$

Or, equivalently:

$\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}$

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3 years ago

Explain why a square can be classified as a rectangle

sergeinik [125]

You know how a puppy is a kind of dog, but not all dogs are puppies? Well, the same thing is true for lots of other categories of things, including squares and rectangles.

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3 years ago

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