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2 years ago

94.248 is 30.6% of what number?

Mathematics

2 answers:

Lana71 [14]2 years ago

7 0

30.6% of 308 = 94.248

boyakko [2]2 years ago

6 0

Answer:

94.248 is 30.6% of 308.

Step-by-step explanation:

The given problem asks us to find the number that represents the "whole" for which 94.248 is the 30.6% of its portion or "part."

In order to find that number, we must first transform 30.6% into its decimal form by moving the decimal point two places to the left:

30.6% ⇒ 0.306

Next, we must divide 94.248 by 0.306 to find the unknown number (because the opposite mathematical operation of multiplication is division):

$\displaystyle\mathsf{\frac{94.248}{0.306}\:=\:308}$

In order to verify whether 308 is the correct value of the unknown number that represents the "whole," simply multiply 94.248 by 0.306:

94.248 × 0.306 = 308

Therefore, 94.248 is 30.6% of 308.

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4 years ago

What are all the possible rectangles with whole-number side

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So (L,W) possibilities are:

(1,4),(4,1),(2,3),(3,2)

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Step-by-step explanation:

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I think they want natural numbers {1,2,3,4,...}. This is also just called the counting numbers. The reason I think they want this because if one of the dimensions is 0, we won't actually have a rectangle.

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3 years ago

10. (a) Consider the following matrices: A = ( 2 ) B = (3) and C = (-3) w = Find the det(A). [1] (ii) Is the matrix A singular?

Viefleur [7K]

i) We have to find the determinant of A.

We can do this as:

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ii) We have to find if the matrix A is singular.

Singular matrix have determinant equal to 0.

This is not the case for A, as its determinant is -12. Then, A is not a singular matrix.

iii) We have to find the values of x and y so that AB = C.

We have to write the matrix multiplication and we will obtain a system of linear equations:

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$\begin{gathered} 3(x-2y)+(3x+6y)=3(-3)+(-3) \\ 3x-6y+3x+6y=-9-3 \\ 6x+0y=-12 \\ x=\frac{-12}{6} \\ x=-2 \end{gathered}$

We can now use the second equation to find the value of y:

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In the case of A(2x2) and B(2x1), when we do A*B this condition is satisfied.

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Answer:

i) det(A) = -12

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iii) x = -2 and y = 1/2.

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