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jek_recluse [69]
3 years ago
15

You order from a catalog the following office supplies: 10 boxes of paper, each box is 6 pounds and 36 boxes of pens, each box w

eighs 12 ounces. Shipping charges are $12.00 for the first 20 pounds, $10.00 for the next 30 pounds, $0.50 per pound for the next 50 pounds. options are $22.00 $40.50 $87.00 $105.00
Mathematics
1 answer:
Sergio039 [100]3 years ago
4 0
Idk, just doing this because you did this to me!
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224 students out of 560 students chose chocolate ice cream. What percent is this?
Dahasolnce [82]

Answer:

Just divide the 224 out of the total 560

40%

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Because of their connection with secant​ lines, tangents, and instantaneous​ rates, limits of the form ModifyingBelow lim With h
Gre4nikov [31]

Answer:

\dfrac{1}{2\sqrt{x}}

Step-by-step explanation:

f(x) = \sqrt{x} = x^{\frac{1}{2}}

f(x+h) = \sqrt{x+h} = (x+h)^{\frac{1}{2}}

We use binomial expansion for (x+h)^{\frac{1}{2}}

This can be rewritten as

[x(1+\dfrac{h}{x})]^{\frac{1}{2}}

x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}

From the expansion

(1+x)^n=1+nx+\dfrac{n(n-1)}{2!}+\ldots

Setting x=\dfrac{h}{x} and n=\frac{1}{2},

(1+\dfrac{h}{x})^{\frac{1}{2}}=1+(\dfrac{h}{x})(\dfrac{1}{2})+\dfrac{\frac{1}{2}(1-\frac{1}{2})}{2!}(\dfrac{h}{x})^2+\tldots

=1+\dfrac{h}{2x}-\dfrac{h^2}{8x^2}+\ldots

Multiplying by x^{\frac{1}{2}},

x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}=x^{\frac{1}{2}}+\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots

x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}=\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots

\dfrac{x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}}{h}=\dfrac{1}{2x^{\frac{1}{2}}}-\dfrac{h}{8x^{\frac{3}{2}}}+\ldots

The limit of this as h\to 0 is

\lim_{h\to0} \dfrac{f(x+h)-f(x)}{h}=\dfrac{1}{2x^{\frac{1}{2}}}=\dfrac{1}{2\sqrt{x}} (since all the other terms involve h and vanish to 0.)

8 0
2 years ago
Solve the following system of liner equations:
nexus9112 [7]
First we get the value of y in terms of x

We have 2x + y + 9 = 0

We transpose 2x and 9 to the other side so we could get the value of y being:
y = - 2x - 9

Now that we have the value of y we can substitute it to the first equation
6x - 3y + 10 = 0
6x - 3 (-2x - 9) + 10 = 0
Simplifying the inside of the parentheses we would have
6x - (3)(-2x) - (3)(-9) + 10 =0
6x + 6x + 27 + 10 = 0

Combining similar terms we would get
12x + 37 = 0
We transpose 37 to the other side for easier simplification
12x = - 37
We divide both sides by 12 to get the value of x
12x/12 = - 37/12
Since 12/12 is equal to 1 our value of x would be
x = - 37/12
Or simply x = - 3.0833

Now that we know the value of x we can use it to obtain the value of y
y = - 2x - 9
y = - 2(-37/12) - 9
y = 37/6 - 9
y = - 17/6
Or in decimal y = - 2.8333

Final values of x and y would be
x = - 3.0833
y = - 2.8333
3 0
3 years ago
Read 2 more answers
Can someone please help me (6th grade math) please and thank you!
Assoli18 [71]

Answer and Step-by-step explanation:

First, you create an expression that equals the perimeter of the shape.

5r + 2s + 3r + 2s + 5r + 2s + 3r + 2s

<u>Simplify</u>

16r + 8s

Now we look at the students' expressions.

I can see that Brain's expression is equivalent to perimeter of the shape. Do you know why?

It is because his answer is the un-distributive version of our answer.

He simply took out the common number that is in 16 and 8, which 8.

<u>So, Brian is correct.</u>

<u></u>

<u></u>

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

7 0
2 years ago
19=8-7x-3 PLEASE HELP HELP NEEDED PLEASE
VashaNatasha [74]
8 - 7x - 3 = 19

5 - 7x = 19    |subtract 5 from both sides

-7x = 14    |divide both sides by (-7)

x = -2
3 0
3 years ago
Read 2 more answers
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