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forsale [732]
2 years ago
5

In one day, a book store earned $253 in sales for 4 copies of a new cookbook and 5 copies of a new science fiction novel. On the

next day, it earned $194 in sales for 3 copies of the cookbook and 4 copies of the science fiction novel. What was the price of each book?
Mathematics
2 answers:
inn [45]2 years ago
7 0

Answer:

Cookbook: 40$ and Science: 15$

Step-by-step explanation:

Guess!

Aloiza [94]2 years ago
5 0

Answer: cookbook $40 and science $15

Step-by-step explanation:

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K = [ 14 -13 0 3 8 -1 -10 -2 5 ] find the determinant of K
spin [16.1K]

I suppose <em>K</em> is the matrix

K = \begin{bmatrix}14 & -13 & 0 \\ 3 & 8 & -1 \\ -10 & -2 & 5\end{bmatrix}

To compute det(<em>K</em>), you can use a simple cofactor expansion along the first row:

\det(K) = 14\times\det\begin{bmatrix}8 & -1 \\-2 & 5\end{bmatrix} - (-13)\times\det\begin{bmatrix}3 & -1 \\ -10 & 5\end{bmatrix} + 0\times\det\begin{bmatrix}3 & 8 \\ -10 & -2\end{bmatrix} \\\\ \det(K) = 14\times(8\times5-(-1)\times(-2)) + 13\times(3\times5-(-1)\times(-10)) + 0 \\\\ \det(K) = 14\times38 + 13\times5 = \boxed{597}

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2 years ago
When is interest best compounded?
e-lub [12.9K]

Usually, the more often it's compounded, the better. That's assuming that the percent is equal through all comparisons, however.

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2 years ago
If 3x-2+5x=2,find the value of 3x
BlackZzzverrR [31]
Dont cheat do it your self
5 0
3 years ago
Write a quadratic equation given the roots -1/3 and 5, show your work
Travka [436]

\boxed{(x - a)(x - b) = 0}

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

x =  -  \frac{1}{3}  \\ x = 5

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

(x +  \frac{1}{3} )(x -  5) = 0

Here we can convert the expression x+1/3 to this.

x +  \frac{1}{3}  = 0 \\  3x + 1 = 0

Rewrite the equation.

(3x + 1)(x - 5) = 0

Simplify by multiplying both expressions.

3 {x}^{2}  - 15x + x - 5 = 0 \\ 3 {x}^{2}  - 14x  - 5 = 0

<u>Answer</u><u> </u><u>Check</u>

Substitute the given roots in the equation.

3 {(5)}^{2}  - 14(5)  - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0

3( -  \frac{1}{3} )^{2}  - 14( -  \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) +  \frac{14}{3}  - 5 = 0 \\  \frac{1}{3}  +  \frac{14}{3}  -  \frac{15}{3}  = 0 \\  \frac{15}{3}  -  \frac{15}{3}  = 0 \\ 0 = 0

The equation is true for both roots.

<u>Answer</u>

\large \boxed {3 {x}^{2}  - 14x - 5 = 0}

8 0
2 years ago
40% of students enjoy playing Among us. If 100 students enjoy playing Among us, how many students are there?
Luba_88 [7]

Answer:

250

Step-by-step explanation:

40%= 100

10%=25

100%= 250

6 0
2 years ago
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