Ask question

Ask question

All categories

Ira Lisetskai [31]

3 years ago

9

The legend on a map states that 1 cm is 25 km. If you measure 8 cm on the map, how many kilometers would the actual distance be?

Actual distance = [? ] km

1 answer:

Dmitry [639]3 years ago

7 0

Answer:

200km

Step-by-step explanation:

<u>Given </u>

1cm = 25 km 8cm =?

<u>Solve</u>

if 1cm = 25,

then multiply 8 cm by 25.

Which is 200 km

You might be interested in

PLEASE HELP ASAP GIVING BRAINLIEST

Lady_Fox [76]

Answer:

Part 1) $y=32.5x+11.95$

Par 2) see the explanation

Part 3) $\$401.95$

Step-by-step explanation:

Part 1) Write an equation in slope intercept form to represent this problem

Let

x ----> the number of tickets

y ---> the total cost

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept (one-time processing fee)

In this problem we have

$b=\$11.95$

ordered pairs (4,141.95) and (7,239.45)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values in the formula

$m=\frac{239.45-141.95}{7-4}$

$m=\frac{97.5}{3}$

$m=32.5$

substitute the values in the linear equation

$y=32.5x+11.95$

Part 2) What does your slope represent in this problem? What does your y-intercept represent in this problem?

a) The slope of the linear equation represent the unit rate, so the slope represents the cost of one ticket

$m=\$32.5\ per\ ticket$

b) The y-intercept is the value of y when the value of x is equal to zero

In this context, the y-intercept represent the one-time processing fee

$b=\$11.95$

Part 3) Use the equation to find how much Alan would have to pay for 12 tickets

For x=12 tickets

substitute in the linear equation

$y=32.5(12)+11.95$

$y=\$401.95$

3 0

3 years ago

HELP PLEASE THANKS (;

Zielflug [23.3K]

You have 2 equations that are both equal to y. If they are both equal to y, then by the transitive property of equality, they are equal to each other (if a = b, and b = c, then a = c).
5x - 17 = x + 3 and
4x = 20 and x = 5. Now sub in that x value of 5 to solve for y:
y = 5 + 3 and y = 8. So the ordered pair is (5, 8)

5 0

2 years ago

Find all roots x3^-8=0

Travka [436]

Answer:

Step-by-step explanation:

hello :

x3^-8=0 means : x3^=8

but : 8 = 2^3

so : x3^= 2^3

x=2

7 0

2 years ago

Which is bigger 6.951 or 6.9313?

fomenos

Answer:

6.51

Step-by-step explanation:

7 0

3 years ago

What is the growth or decay and the percentage rate of Y=23(0.292)^x

torisob [31]

Answer:

So the decay percentage rate is of 70.8%

Step-by-step explanation:

An exponentil function has the following format:

$y = ca^{x}$

In which c is a constant.

If a>1, we have that a = 1 + r and r is the growth rate.

If a<1, we have that a = 1 - r and r is the decay rate.

In this problem:

a = 0.292

A is lesser than 1, so r is the decay rate.

1 - r = 0.292

r = 1 - 0.292

r = 0.708

So the decay percentage rate is of 70.8%

5 0

3 years ago