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atroni [7]
3 years ago
13

A flower box in the shape of a right rectangular prism is made of thin metal, shown below. The box has length 90 centimeters (cm

), width 45 cm, and height 45 cm. The box is 85 percent filled with soil. Each bag of soil holds 1 cubic (ft^3), and 1 ft^3 is approximately 28,316 cubic centimeters (cm^3). How many bags of soil are needed to finish filling the flower box?
A. 1 bag

B. 2 bags

C. 6 bags

D. 7 bags

Mathematics
1 answer:
masya89 [10]3 years ago
4 0
1) Volume of the box = 90*45*45=<span>182250 cm³
2) filled with soil = 0.85*</span>182250= <span>154912.5 cm³
3) </span>182250 cm³-154912.5 cm³=<span>27337.5 cm³ not filled 
4) </span>27337.5 cm³/28316 cm³=0.9654 ≈ 1 bag
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3 years ago
Mathematics 13 don’t understand
UNO [17]

Answer:

  1/6^3

Step-by-step explanation:

The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)(a^c) = a^(b+c)

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Your expression can be simplified as follows:

  \dfrac{6^{-5}}{6^{-2}}=\dfrac{1}{(6^{-2})(6^5)}=\dfrac{1}{6^{-2+5}}=\boxed{\dfrac{1}{6^3}}

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<em>Additional comment</em>

If you think of an exponent as signifying repeated multiplication, the rules of exponents may be easier to remember. The exponent tells you how many times the base is a factor in the product.

Consider multiplication:

  (x\cdot x\cdot x)\cdot(x\cdot x)=x^3\cdot x^2=x^{3+2}=x^5\\\\(x\cdot x\cdot x)\cdot(x\cdot x\cdot x)=(x^3)^2=x^{3\cdot2}=x^6

Consider division:

  \dfrac{x\cdot x\cdot x}{x\cdot x}=x\quad\Longleftrightarrow\quad\dfrac{x^3}{x^2}=x^{3-2}=x^1\\\\\dfrac{x\cdot x}{x\cdot x\cdot x}=\dfrac{1}{x}\quad\Longleftrightarrow\quad\dfrac{x^2}{x^3}=x^{2-3}=x^{-1}

This may help you see that a positive exponent in the denominator is equivalent to a negative exponent in the numerator (and vice versa).

6 0
3 years ago
Five times the sum of 9 and some number is 145. What is the number?
Andrews [41]

Answer:

x=20

Step-by-step explanation:

5(x+9) =145 (watch carefully)

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5x + 45 - 45 = 145 - 45

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5 0
4 years ago
I need to know the answer
almond37 [142]

Answer:

A

Step-by-step explanation:

That's the formula for the solution of a quadratic equation, like this:

a {x}^{2}  + bx   +  c = 0

The formula is:

x =  \frac{ - b± \sqrt{ {b}^{2} \:  - 4ac } }{2a}

In your case:

a = 7 \\ b =  - 5 \\ c =  - 2

The only answer that has c = -2 is the first one, A.

If you move the 5 to the left-hand side, it becomes -5 and with the +3 gives a -2.

4 0
4 years ago
Math help pls thank u
ELEN [110]
(8) =b

explaintion is : 3 seven times is 21
6 0
3 years ago
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