All categories

3 years ago

Our scale is that 100 mm on the map is equal to 6371 km in Earth as our unknown conversion factor is to 1km.

Mathematics

1 answer:

fiasKO [112]3 years ago

7 0

Answer:

The distance from sea level in mm is 0.5494 mm.

Step-by-step explanation:

Consider the provided information.

It is given that Our scale is that 100 mm on the map is equal to 6371 km in Earth.

This can be written as:

100 mm = 6371 km

Divide both the sides by 6371.

100/6371 mm = 1 km

We need to find the distance from sea level in mm, if the distance is 35 km.

Multiply both sides by 35.

100/6371 × 35 mm = 1 × 35 km

0.5494 mm = 35 km

Hence, the distance from sea level in mm is 0.5494 mm.

You might be interested in

how much water must be added to a 6-liter solution that contains 7% extract of baneberry to get a solution that contains 5% extr

SpyIntel [72]

Answer:

the water to be added is 0.2 L

Step-by-step explanation:

The computation of the water to be added is given below:

The banberry amount is

= 7% of 6 Liters

= 0. 42L

Now

Let us assume the amount of water added be x L

So, the total solution is

= 6+ x L

Now percentage of banberry is

= 0.42 × 100 ÷ (6+x)

5 = 0.42 × 100 ÷ (9 + x)

9 + x = 9.2

x = 0.2 L

hence, the water to be added is 0.2 L

6 0

3 years ago

Under what operations are the set of integers closed? Explain your answer.

Nonamiya [84]

Addition, subtraction, multiplication.

Addition: The addition of two integers produces another integer.

Subtraction: The subtraction of two integers produces another integer.

Multiplication: The product of two integers is an integer.

Division between two integers can produce a rational number that is not in the set of integers e.g. 1/3

This only includes the four basic arithmetic operations, you can include exponentiation and the modulo operation if you want to for the same reasons as above.

3 0

2 years ago

Suppose that the division N/5 leaves a remainder of 4, and the division N/2 leaves a remainder of 1, what is the ones digit on N

Tju [1.3M]

Since N/2 leaves a remainder, N must be odd and ends with 1, 3, 5, 7, or 9.

N/5 also leaves a remainder, so N is not divisible by 5, so it does not end in 5.

The only correct choice is then 9, since

1 = 0•5 + 1 and 1 = 0•2 + 1

3 = 0•5 + 3 and 3 = 1•2 + 1

7 = 1•5 + 2 and 7 = 3•2 + 1

9 = 1•5 + 4 and 9 = 4•2 + 1

Alternatively, the given information is equivalent to saying

$N\equiv 4\pmod5\\\\N\equiv1\pmod2$

Then you can use the Chinese remainder theorem to find N.

7 0

2 years ago

What is the value of -2(x + 5)?

Nataly_w [17]

Answer:

Expand by distributing terms.

-2x-2\times 5−2x−2×5

Simplify 2\times 52×5 to 1010.

-2x-10−2x−10

3 0

2 years ago

A $104,000 selling price with $24,000 down at 81⁄2% for 25 years results in a monthly payment of

Katena32 [7]

Okay so first I am taking it that you have to subtract 24k from the 104k which brings it to 80,000.
I am also taking it that the 8.5% is suppose to be in decimal form which makes it .085%
Take the 80,000 and use the monthly payment formula, which is really easy to use.
Monthly payment should be 644.18

8 0

3 years ago

Read 2 more answers