MATHEMATICS HIGH SCHOOL

The scale on a map stated that 1 cm corresponds to 30 kilometers. On the map, two cities are 1.6cm apart.

Answers

Answer 1

Answer:

Answer:

48 kilometers.

Step-by-step explanation:

We have been given that the scale on a map stated that 1 cm corresponds to 30 kilometers.

Let us find the actual distance between two points, which are 1.6 cm apart on the map by multiplying 1.6 by 30.

$\text{Distance between two cities}=30* 1.6$

$\text{Distance between two cities}=48$

Therefore, the two cities are 48 kilometers apart.

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Solve the following system of equation graphically 2x+y=-1 and x+2y=4

Answers

As 2x + y = -1

Then,

y = - 1 - 2x

We can to replace on the bellow equation.

x + 2y = 4

x + 2.( -1 -2x) = 4

Doing the distributive

x + 2.(-1) + 2.(-2x) = 4

x -2 -4x = 4

-3x -2 = 4

-3x = 4 + 2

-3x = 6

x = 6/-3

x = -2
________________

Then, the value of y will be:

y = -1 -2x

y = -1 -2.(-2)

y = -1 + 4

y = 3

Which is the equation of a line with the slope of -2 that passes through the point (-2,0)

Answers

y = -2x - 4

-2x is the slope and -4 is the y intercept.

The equation of a line is y = mx + b (m is the slope; b is the y-intercept)

We are given the slope of -2 so...

y = -2x + b

We must determine b. Since they give us a point, we can sub in the x and y coords (-2,0)

0 = -2(-2) + b
0 = 2 + b
[Subtract 2 from both sides]
0-2=2-2+b
-2=b

Now, go back to the original equation (before adding coordinates in) and input b.

y = -2x-2

14) Ms. Lopez has $118 for tickets at the Sports Fun Park. She needs to buy 1 adult ticket for $19. How many child tickets can she buy if child tickets cost $12 each? A) 5 child tickets
B) 6 child tickets
C) 7 child tickets
D) 8 child tickets
15) In 14, Ms. Lopez changed her plans and decided to purchase another adult ticket and 6 child tickets. How much money will she have left?
$5
$6
$7
$8