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2 years ago

On a map, if one centimeter represents 25 kilometers, how many kilometers does 7 centimeters represent?

Mathematics

1 answer:

Elena-2011 [213]2 years ago

4 0

Answer:

x = 175 km

Step-by-step explanation:

We can use ratios to solve this problem. Put the map distance over the real life distance.

1 cm 7 cm

-------- = ---------

25 km x km

Using cross products.

1 * x = 7 * 25

x = 175 km

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What is an equation of the line that passes through the point ( 6 , − 2 ) (6,−2) and is perpendicular to the line 6 x + y = 2 6x

Diano4ka-milaya [45]

Answer:

An equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:

$y=\frac{1}{6}x-3$

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept.

Given the line

6x+y=2

Simplifying the equation to write into the slope-intercept form

y = -6x+2

So, the slope = -6

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus, the slope of the perpendicular line will be: -1/-6 = 1/6

Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be

$y-y_1=m\left(x-x_1\right)$

substituting the values m = 1/6 and the point (6, -2)

$y-\left(-2\right)=\frac{1}{6}\left(x-6\right)$

$y+2=\frac{1}{6}\left(x-6\right)$

subtract 2 from both sides

$y+2-2=\frac{1}{6}\left(x-6\right)-2$

$y=\frac{1}{6}x-3$

Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:

$y=\frac{1}{6}x-3$

5 0

2 years ago

Lydia has 400$ in her bank account. Each week she withdraws 10$ for spending money. She also uses 5$ each week to get credit on

Softa [21]

Answer:

400 - 15x < 300

Step-by-step explanation:

We are told that she has 400$ in her bank account.

Now, Each week she withdraws 10$ for spending money. She also uses 5$ each week to get credit on her apple account.

Total total withdrawal each week = 10 + 5 = $15

If number of weeks she has been withdrawing is x, then would have withdrawn $15x after x number of weeks.

Thus, amount left after x number of weeks is:

400 - 15x

We want to find the inequality statement can be used to determine how many weeks it will take for her bank account balance to drop below 300.

Thus;

400 - 15x < 300

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2 years ago

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hjlf

Answer:

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