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BaLLatris [955]
3 years ago
9

Joanna created a rectangular shaped vegetable garden and needs to put down fertilizer to cover the space. If the garden has a ba

se of 8 m and a height of 30 m. If each bag of fertilizer covers 12 square meters, how many bags of fertilizer will Joanna need?​
Mathematics
1 answer:
Ivanshal [37]3 years ago
6 0

Answer: 20

Step-by-step explanation:

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Juli2301 [7.4K]

11 because if you count the spaces between the two places, the answer would be 11.

3 0
3 years ago
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Which is a slow environmental change that only occurs naturally? A. earthquake B. changes in weather C. succession D. global war
Lady bird [3.3K]
The answer would be 
C. succession
I am not 100% sure, though
7 0
3 years ago
HELP PLEASE!<br><br> Line segment DE is a midsegment of<br> АВС<br> Find the value of x.
Tanzania [10]

Answer:

x=12

Step-by-step explanation:

It equals 12 because according to the midsegment theorem, the midsegment is 1/2 the value of the side it is parallel to.

7 0
2 years ago
Simplify this please​
Ugo [173]

Answer:

\frac{12q^{\frac{7}{3}}}{p^{3}}

Step-by-step explanation:

Here are some rules you need to simplify this expression:

Distribute exponents: When you raise an exponent to another exponent, you multiply the exponents together. This includes exponents that are fractions. (a^{x})^{n} = a^{xn}

Negative exponent rule: When an exponent is negative, you can make it positive by making the base a fraction. When the number is apart of a bigger fraction, you can move it to the other side (top/bottom). a^{-x} = \frac{1}{a^{x}}, and to help with this question: \frac{a^{-x}b}{1} = \frac{b}{a^{x}}.

Multiplying exponents with same base: When exponential numbers have the same base, you can combine them by adding their exponents together. (a^{x})(a^{y}) = a^{x+y}

Dividing exponents with same base: When exponential numbers have the same base, you can combine them by subtracting the exponents. \frac{a^{x}}{a^{y}} = a^{x-y}

Fractional exponents as a radical: When a number has an exponent that is a fraction, the numerator can remain the exponent, and the denominator becomes the index (example, index here ∛ is 3). a^{\frac{m}{n}} = \sqrt[n]{a^{m}} = (\sqrt[n]{a})^{m}

\frac{(8p^{-6} q^{3})^{2/3}}{(27p^{3}q)^{-1/3}}        Distribute exponent

=\frac{8^{(2/3)}p^{(-6*2/3)}q^{(3*2/3)}}{27^{(-1/3)}p^{(3*-1/3)}q^{(-1/3)}}        Simplify each exponent by multiplying

=\frac{8^{(2/3)}p^{(-4)}q^{(2)}}{27^{(-1/3)}p^{(-1)}q^{(-1/3)}}        Negative exponent rule

=\frac{8^{(2/3)}q^{(2)}27^{(1/3)}p^{(1)}q^{(1/3)}}{p^{(4)}}        Combine the like terms in the numerator with the base "q"

=\frac{8^{(2/3)}27^{(1/3)}p^{(1)}q^{(2)}q^{(1/3)}}{p^{(4)}}        Rearranged for you to see the like terms

=\frac{8^{(2/3)}27^{(1/3)}p^{(1)}q^{(2)+(1/3)}}{p^{(4)}}        Multiplying exponents with same base

=\frac{8^{(2/3)}27^{(1/3)}p^{(1)}q^{(7/3)}}{p^{(4)}}        2 + 1/3 = 7/3

=\frac{\sqrt[3]{8^{2}}\sqrt[3]{27}p\sqrt[3]{q^{7}}}{p^{4}}        Fractional exponents as radical form

=\frac{(\sqrt[3]{64})(3)(p)(q^{\frac{7}{3}})}{p^{4}}        Simplified cubes. Wrote brackets to lessen confusion. Notice the radical of a variable can't be simplified.

=\frac{(4)(3)(p)(q^{\frac{7}{3}})}{p^{4}}        Multiply 4 and 3

=\frac{12pq^{\frac{7}{3}}}{p^{4}}        Dividing exponents with same base

=12p^{(1-4)}q^{\frac{7}{3}}        Subtract the exponent of 'p'

=12p^{(-3)}q^{\frac{7}{3}}        Negative exponent rule

=\frac{12q^{\frac{7}{3}}}{p^{3}}        Final answer

Here is a version in pen if the steps are hard to see.

5 0
3 years ago
Out of these numbers which two are perfect squares. 20.25, 32, 16.9, 3.24
a_sh-v [17]

Answer:

<h2><em><u>3.24</u></em> </h2>

<em><u>= yes, because the sqrt of 3.24 is 1.8</u></em>

<h2><em><u>20.25</u></em></h2><h3>= yes, because the sqrt of 20.25 is 4.5</h3>
5 0
3 years ago
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