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Lubov Fominskaja [6]
3 years ago
15

On a map of a town, 3 cm represents 150 m. Two points in the town are 1 km apart. How far apart are the two points on the map?

Mathematics
1 answer:
dmitriy555 [2]3 years ago
6 0

Answer:

5000 km

Step-by-step explanation:

We are given that

3 cm represents on a map of  a town=150 m

Distance between two points=1 km

We have to find the distance between two points on the map.

3 cm represents on a map of  a town=150 m

1 cm represents on a map of  a town=150/3 m

1 km=1000 m

1 m=100 cm

1km=1000\times 100=100000 cm

100000 cm  represents on a map of  a town

=\frac{150}{3}\times 100000 m

100000 cm  represents on a map of  a town=5000000 m

100000 cm  represents on a map of  a town

=\frac{5000000}{1000} km

100000 cm  represents on a map of  a town=5000 km

Hence, two points are separated by 5000 km on the map.

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On Saturday, Mark sold gallons of lemonade. On the same day, Regan sold as much lemonade as Mark. How much lemonade, in gallons,
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Step-by-step explanation:

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3 years ago
Y=3/4 x-4
pochemuha

Answer:

see graph of y=3/4 x-4

Step-by-step explanation:

Assuming you mean

y = \frac34x - 4

Below is a graph of that one. The slope is 3/4 and the interception with the y axis is at y=-4. The equation is in its normal form y=ax+b with a=3/4 (slope) and b=-4 (y intercept), so no conversion needed.

You have to be careful on how you write these equations down. It might very well be that you meant:

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8 0
3 years ago
Expand<br> (2x - 3)4 <br><br> Can you help me expand this by using the binomial theorem?
saw5 [17]

The value of expanding (2x -3)^4 is 16x^4  + 96x^3  +216x^2 -216x + 81

<h3>How to expand the expression?</h3>

The expression is given as:

(2x -3)^4

Using the binomial expansion, we have:

(2x -3)^4 = ^4C_0 * (2x)^4 * (-3)^0 +^4C_1 * (2x)^3 * (-3)^1 + ^4C_2 * (2x)^2 * (-3)^2 + ^4C_3 * (2x)^1 * (-3)^3 + ^4C_4 * (2x)^0 * (-3)^4

Evaluate the combination factors.

So, we have:

(2x -3)^4 = 1 * (2x)^4 * (-3)^0 + 4 * (2x)^3 * (-3)^1 + 6 * (2x)^2 * (-3)^2 + 4 * (2x)^1 * (-3)^3 + 1 * (2x)^0 * (-3)^4

Evaluate the exponents and the products

(2x -3)^4 = 16x^4  + 96x^3  +216x^2 -216x + 81

Hence, the value of expanding (2x -3)^4 is 16x^4  + 96x^3  +216x^2 -216x + 81

Read more about binomial expansions at:

brainly.com/question/13602562

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8 0
2 years ago
Determine which of the following equations, when graphed, intersect at the point (4, 0).
dexar [7]

Answer:

x - y = 4

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Step-by-step explanation:

Substitute x=4 and y=0 in every equation. If both sides of the equal sign are equal, (LS=RS, left side equals right side) then the graph intersects at (4,0).

- x - y = 4

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LS≠RS

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x + y = 4

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2 x - y = 7

2(4) - 0 = 7

8 - 0 = 7

8 = 7

LS≠RS

Only x - y = 4  and x + y = 4  intersect at (4, 0).

4 0
3 years ago
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