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3 years ago

It is said that if you are with someone else, you do not have to outrun the wolf, you just

Mathematics

1 answer:

tigry1 [53]3 years ago

7 0

Answer:

<u>The three equations:</u>

y = 15x, wolf
y = 10x + 15, you
y = 5x + 20, friend

<u>Compare the equations with wolf and you and with wolf and your friend:</u>

15x = 10x + 15
5x = 15
x = 3 seconds

It will take 3 seconds before you are caught by the wolf

15x = 5x + 20
10x = 20
x = 2 seconds

It will take 2 seconds before your friend is caught by the wolf, he will be caught a second before you.

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What is the correct answer?

OlgaM077 [116]

Answer: b

Explanation:

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3 years ago

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Amiraneli [1.4K]

Answer:

y = x + 1

Step-by-step explanation:

1) First, find the slope of the line between the two points. Whichever option has the same slope would be the right answer. To find this, use the slope formula $\frac{y_2-y_1}{x_2-x_1}$ . $x_1$ and $y_1$ represent the x and y values of one point, and $x_2$ and $y_2$ represent the x and y values of another point.

So, use the points given to answer the question. Substitute 4 for $x_1$ , 5 for $y_1$ , 8 for $x_2$ , and 9 for $y_2$ then solve:

$\frac{(9)-(5)}{(8)-(4)} \\= \frac{9-5}{8-4} \\= \frac{4}{4} \\= 1$

Therefore, the slope is 1.

2) Any line that is in a "y = a number" format is a horizontal line, and all horizontal lines have a slope of 0 - so the second option can't be the answer.

The rest of the options are in slope-intercept form, or y = mx + b format. Remember that the coefficient of the term with the x is the slope. Knowing this, y = x + 1 would need to be the answer since the coefficient of the term with the x is 1, and we already calculated that the slope is 1.

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3 years ago

Keats Library purchases a number of new books, all in the category of biography; the library does not acquire any other books. W

PtichkaEL [24]

Answer:

$\large \boxed{87.5 \, \%}$

Step-by-step explanation:

Let x = the original number of books

Then 0.375x = the total number of biographies

and 0.20 x = the original number of biographies

$\text{Percent increase} = \dfrac{\text{ New number - Old number }}{\text{Old number }} \times 100\, \%\\\\= \dfrac{0.375x - 0.20x}{0.20x} \times 100\, \% = \dfrac{0.175x}{0.20x} \times 100\, \% = 0.875 \times 100\, \% = \mathbf{87.5 \, \%}\\\\\text{The number of biographies has increased by $\large \boxed{\mathbf{87.5 \, \%}}$}$

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3 years ago

1 5/8 divided by 3/8? Show your work pls.

Dafna1 [17]

Change mixed fraction to improper fraction and also the second fraction has to be reciprocal

Ex- 3/8= 8/3

So now the problem is

13/8*8/3= 13/3 (because you cross divide) Now, turn into fraction

Divide

13 divided by 3= 4 1/3

So your final answer is 4 1/3

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3 years ago

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The coordinates of the vertices of A DEF are D(-4,1), E(3. – 1), and F(-1, – 4)

liq [111]

Answer:

ΔDEF is not a right triangle because no two sides are perpendicular.

Step-by-step explanation:

The coordinates of the vertices of ΔDEF are given to be D(-4,1), E(3,-1) and F(-1,-4).

Now length of DE is given by $\sqrt{(-4-3)^{2}+(1-(-1))^{2} } =\sqrt{53}$ units

length of EF is given by $\sqrt{(3-(-1))^{2}+(-1-(-4))^{2} }=\sqrt{25}$ units

and length of FD is given by $\sqrt{(-4-(-1))^{2}+(1-(-4))^{2} } =\sqrt{34}$ units.

Therefore, 53 ≠ 25+34

Hence, the length of the sides does not support the Pythagoras theorem.

So, ΔDEF is not a right triangle because no two sides are perpendicular. (Answer)

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3 years ago