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3 years ago

The scale of a map says that 4 cm represents 5 km.

Mathematics

1 answer:

vaieri [72.5K]3 years ago

8 0

Answer:

16 cm

Step-by-step explanation:

4 cm represents 5 km. There is a total length of 20 km, so you do 20/5=4. Since you have to multiply 5 by 4 to get 20, you also multiply 4cm by 4, and you get 16, or the amount of cm that represents 20 km.

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17x-3y=4 2x-4y=1 the solution to the system of equations is

Burka [1]

ANSWER

$x=\frac{13}{62}$

and

$y= \frac{-9}{62}$ e have

EXPLANATION

$17x-3y=4---(1)$

$2x-4y=1$

Let us make y the subject and call it equation (2)

$2x=1+4y$

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

We put equation (2) in to equation (1)

$17(\frac{1}{2}+2y)-3y=4$

$\frac{17}{2}+34y-3y=4$

$34y-3y=4- \frac{17}{2}$

Simplify to get,

$31y= \frac{8-17}{2}$

$31y= \frac{-9}{2}$

Divide both sides by 31,

$y= \frac{-9}{2} \div 31$

$y= \frac{-9}{2} \times \frac{1}{31}$

$y= \frac{-9}{62}$

We put this value in to equation (2) to get,

$x=\frac{1}{2}+2\times -\frac{9}{62}$

$x=\frac{1}{2} -\frac{18}{62}$

We collect LCM to obtain,

$x=\frac{31-18}{62}$

$x=\frac{13}{62}$

7 0

3 years ago

How many natural numbers between $150$ and $300$ are divisible by $9$?

ycow [4]

Answer:

There are 17 natural numbers divisible.

8 0

2 years ago

Which graph represents the solution to the given system? <br> y = -2x + 5 and y = 3x - 2

sasho [114]

To find the X value of the solution, you would set the two equations equal to each other bu substitution:
if <span>y = -2x + 5 and y = 3x - 2,
</span>-2x + 5 must be equal to 3x - 2
solve for x... you should get 7/5

then, plug that into one of the original equations as X and you would get the Y value, 11/5

This point, (7/5,11/5) is where the two lines cross

3 0

3 years ago

Read 2 more answers

A bag contains 5 green marbles and 10 Red marbles what is the probability of selecting a green marble not replacing it and then

kari74 [83]

Answer:5

Step-by-step explanation:

6 0

3 years ago

(k^2-6k^4)-(3k^4+k^2+2)

jeka57 [31]

Step-by-step explanation:

Vamos simplificar passo a passo.

k2-6k4-(3k4+k2+2)

Distribua o sinal negativo:

=k2-6k4+-1(3k4+k2+2)

=k2+-6k4+-1(3k4)+-1k2+(-1)(2)

=k2+-6k4+-3k4+-k2+-2

Combine os termos semelhantes:

=k2+-6k4+-3k4+-k2+-2

=(-6k4+-3k4)+(k2+-k2)+(-2)

=-9k4+-2

Responda:

=-9k4-2

7 0

3 years ago