Ask question

Ask question

All categories

3 years ago

12

On a map, Maya uses a ruler to find the approximate distance between her town and Los Angeles. The distance on the map is 25 cm.

Maya knows the distance between her town and Los Angeles is about 2050 km. What is the scale of the map?

2 answers:

NISA [10]3 years ago

8 0

Answer:

1 cm : 82km

Step-by-step explanation:

Now

1km = 1000 X 100 cm

Therefore

2050km = 2050 X 1000 X 100cm

2050km = 205,000,000 cm

25cm rep 205,000,000 cm

1cm rep 205,000,000/25 cm

1cm rep 8,200,000cm

8,200,000= 8,200,000÷(100,000)km

=82km

Therefore: 1cm represents 82km

An alternate approach is to divide directly

25cm rep 2050 km

1cm represents 2050/25km

1cm: 82km

The scale is 1 cm : 82km

zlopas [31]3 years ago

7 0

Answer:

Scale of the Map = 1 cm to 82 Km

Step-by-step explanation:

25cm is equivalent to 2050Km

Hence 1cm will be equivalent to 2050/25 = 82Km

You might be interested in

Let $f(x) = 2x^2 + 3x - 9,$ $g(x) = 5x + 11,$ and $h(x) = -3x^2 + 1.$ Find $f(x) - g(x) + h(x).$

Viefleur [7K]

QUESTION 1

Given that:

$f(x)=2x^2+3x-9$ ,

$g(x)=5x+11$ ,

and

$h(x)=-3x^2+1$

Then;

$f(x)-g(x)+h(x)=2x^2+3x-9-(5x+11)+(-3x^2+1)$

$f(x)-g(x)+h(x)=2x^2+3x-9-5x-11-3x^2+1$

Group similar terms;

$f(x)-g(x)+h(x)=2x^2-3x^2+3x-5x-11-9+1$

Simplify;

$f(x)-g(x)+h(x)=-x^2-2x-19$

QUESTION 2

Given that;

$f(x)=4x-7$ .

$g(x)=(x+1)^2$

and

$s(x)=f(x)+g(x)$

Substitute the functions;

$s(x)=4x-7+(x+1)^2$

Substitute x=3

$s(3)=4(3)-7+(3+1)^2$

$s(3)=12-7+(4)^2$

$s(3)=5+16$

$s(3)=21$

QUESTION 3

Given:

$f(x)=3x+2$

$g(x)=x^2-5x-1$

$f(g(x))=f(x^2-5x-1)$

This implies that;

$f(g(x))=3(x^2-5x-1)+2$

Expand the parenthesis;

$f(g(x))=3x^2-15x-3+2$

$f(g(x))=3x^2-15x-1$

QUESTION 4

The given function is;

$f(x)=3(x-6)^2+1$

Let

$y=3(x-6)^2+1$

$\Rightarrow y-1=3(x-6)^2$

$\Rightarrow \frac{y-1}{3}=(x-6)^2$

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

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

The range is:

$\frac{y-1}{3}\ge0$

$y-1\ge0$

$y\ge1$

The interval notation is;

$[1,+\infty)$

6 0

3 years ago

*33 points* Can someone help me with this project please?? Thank you

Lena [83]

Answer:

part 3: add how ever many years that much money

Part 4:

Step-by-step explanation:

part 3:for instance 0years = 1,000$ to 5years so it equals 6,000$ and so on if you dont get it ask me

and its the same calculation each time

Part4: write about how much money you earned and if you can retire with that in the first box, and in the second, write about how you will most likely earn the money

HOPE THIS HELPED I REALLY DO, MARK BRAINLIEST PLZ I NEED IT

4 0

2 years ago

16.) (2x⁵y²)(4xy³) + (x⁴y⁴)(3x²y)

daser333 [38]

Again, I'm really not sure if this is right, and please tell me where I got it wrong if I did.

16. $11x^{6} y^{5}$

17. $18a^{4} b^{6}$

I really hope this helps, and I feel really bad when someone asks me to help and I can't :((

5 0

3 years ago

Read 2 more answers

A health club charges a $50 initial fee plus $2 for each visit. Moselle has spent a total of $144 at the health club this year .

Vsevolod [243]

Answer:

A health club charges a $50 initial fee plus $2 for each visit. Moselle has spent a total of $144 at the health club this year . Use an equation to find how many visits she has made

Step-by-step explanation:10100101010010100101

3 0

2 years ago

Read 2 more answers

PLS HELP I WILL GIVE BRAINEST TO WHOEVER ANSWERS FIRST AND CORRECTLY I HAVE LIMITED TIME TO DO THIS!!

qaws [65]

Answer:

O 3+(-1)

Step-by-step explanation:

3 0

3 years ago