Enter the missing value into the box to complete the ratio comparing 500 meters to 3 kilometers.

Mathematics

2 answers:

bazaltina [42]3 years ago

7 0

Answer: The required ratio is 1 : 6.

Step-by-step explanation: We are given to find the ratio that compares 500 meters to 3 kilometers.

We know that

1 kilometer = 1000 meters.

So, 3 kilometers = 1000 × 3 meters = 3000 kilometers.

Therefore, the ratio comparing 500 meters to 3 kilometers will be

$500~\textup{meters}:3~\textup{kilometers}\\\\=\dfrac{500~\textup{meters}}{3~\textup{kilometers}}\\\\\\=\dfrac{500~\textup{meters}}{3000~\textup{meters}}\\\\\\=\dfrac{1}{6}\\\\=1:6.$

Thus, the required ratio is 1 : 6.

4vir4ik [10]3 years ago

4 0

3 kilometres = 3,000 metres

so the ratio is 500 : 3000

= 1 : 3000/500

= 1: 6

You might be interested in

A student did 3 5 of his homework and another 8 problems. then his father came and did one fifth of his homework and the remaini

Komok [63]

<span>Letâ€™s assume the number of problems as P Student did his homework = (3/5) P + 8 Father did the homework = (1/5) P + 7 So the sum of the both equations is equal to P => (3/5) P + 8 + (1/5) P + 7 = P => (4/5) P + 15 = P => 4P + 75 = 5P => P = 75 Problems they solve together are 75 problems.</span>

4 0

3 years ago

Read 2 more answers

1. Find the product. Simplify. 13/14 of 10/9. A. 15/42 B. 5/21 C. 2/7 D. 5/6 2. Andy has 5 pots, and each pot can hold 3/8 pound

Rufina [12.5K]

1) Resultant fraction: $\frac{65}{63}$

2) Total soil: $1\frac{7}{8}$ pounds

3) Result of the product: $\frac{35}{2}$

Step-by-step explanation:

In this problem, we want to find the product between the two fractions

$\frac{13}{14}$

and

$\frac{10}{9}$

In order to find this product, we have to multiply the numerators of each fraction and the denominators of each fraction. We get:

$\frac{13}{14}\cdot \frac{10}{9}=\frac{13\cdot 10}{14\cdot 9}=\frac{130}{126}$

Now we simplify, dividing both numerator and denominator by 2:

$\frac{130/2}{126/2}=\frac{65}{63}$

And the fraction cannot be further simplified.

Here we have:

n = 5 (number of pots that Andy has)

$s=\frac{3}{8}$ (amount of soil (in pounds) that each pot can contain)

In order to find the amount of soil that Andy needs to fill all the pots, we have to multiply the number of pots (n) by the amount of soil that each pot can contain (s).

If we do so, we find:

$t=n \cdot s = 5 \cdot \frac{3}{8}=\frac{5\cdot 3}{8}=\frac{15}{8}$