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3 years ago

gavin bought 2 1/2 cubic yards of topsoil for $75 what is the unit rate in cost per cubic yard for the topsoil

Mathematics

2 answers:

Kruka [31]3 years ago

7 0

Answer:

$30

Step-by-step explanation:

Divide the cost ($75) by the yards (2 1/2) to get $30 per yard.

Ede4ka [16]3 years ago

6 0

I believe $30 but I’m not really sure

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Lia has $24. Lia and her brother together have a total of $45. The solution of the equation 24 + x = 45 is the amount of money,

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6.2megagrams/hectoliter to kilograms/deciliter

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6.2 kilograms/ deciliters

Step-by-step explanation:

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hectoliter to deciliter

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3 years ago

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Simplify the expression. Quantity cosecant of x to the power of two times secant of x to the power of two divided by quantity se

Art [367]

Answer:

D. 1

Step-by-step explanation:

We have the expression, $\frac{\csc^{2}x\sec^{2}x}{\sec^{2}x+\csc^{2}x}$

We get, eliminating the cosecant function,

$\frac{\sec^{2}x}{\frac{\sec^{2}x}{\csc^{2}x}+1}$

As, sinx is reciprocal of cosecx and cosx is reciprocal of secx,

i.e. $\frac{\sec^{2}x}{\frac{\sin^{2}x}{\cos^{2}x}+1}$

i.e. $\frac{1}{\cos^{2}x}\times \frac{\cos^{2}x}{\sin^{2}x+\cos^{2}x}$

Since, we know that, $\sin^{2}x+\cos^{2}x=1$

Thus,

$\frac{1}{\cos^{2}x}\times \frac{\cos^{2}x}{\sin^{2}x+\cos^{2}x}=1$

So, after simplifying, we get that the result is 1.

Hence, option D is correct.

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3 years ago