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2 years ago

A city has a population of 14000. The population is 27000 after 10 years.

Mathematics

1 answer:

Inessa05 [86]2 years ago

8 0

The Po and K is 64 because that is the population

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Find 6m if m = 5/13<br><br> Please help<br><br> Leave your answer in fraction form please

gladu [14]

Step-by-step explanation:

or, 6m=5/13

or, m=5/13 ×6m

m=30/13

3 0

3 years ago

It takes three identical water pumps 8 hours to fill a pool, What is the constant of variation?

BaLLatris [955]

Answer:

Constant of variation is 24.

Step-by-step explanation:

Inverse variation states that a relationship between two variables in which the product is remain constant.

If one variable increases then, the other one decreases in proportion so that the product is unchanged,

if y is inversely proportional to x i.e $y \propto\frac{1}{x}$ or

$y =\frac{k}{x}$ ;where k is the constant of variation.

It is given that 3 identical water pumps takes 8 hours to fill a pool,

since, it will take less time with more pumps, so it is an inverse variation.

By definition of inverse variation;

$time = \frac{k}{pump}$

Substitute the values to solve for k;

$8 = \frac{k}{3}$

Multiply by 3 to both sides we get;

$8 \times 3 = \frac{k}{3} \times 3$

Simplify:

k = 24

Therefore, the constant of variation is, 24

3 0

3 years ago

If the area of a rectangle is 162 square meters, what is the length of the base

Contact [7]

Answer:

If the long side is down then the length of the base is 81 sq.m.

If the short side is down then the length of the base is 20.25 sq.m.

Step-by-step explanation:

162/4 is 40.5 that means if this were a square it would be 40.5 sq.m. On each side, if the base is longer you multiply 40.5 by 2 (or whatever youre supposed to honestl) and if the base is shorter you divide by 2 (or whatever you were supposed to)

7 0

3 years ago

Reduce to the simplest form. -9/6 + (-3/5)

creativ13 [48]

Answer:

$-\frac{21}{10}$ or $-2.1$ (they're the same)

Step-by-step explanation:

Simplify: $-\frac{9}{6} + (-\frac{3}{5}) = -\frac{9}{6} - \frac{3}{5}$
Find a common denominator. The LCM of 6 and 5 is 30, so multiply the numerator and the denominator by the same thing: 6 × 5 = 30, -9 × 5 = -45, 5 × 6 = 30, 3 × 6 = 18
Write the new fractions: $-\frac{45}{30} - \frac{18}{30}$
Subtract: -45/30 - 18/30 = $-\frac{63}{30} = -\frac{21}{10}$