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3 years ago

Question 7. K(7/4) equals ?

Mathematics

1 answer:

dusya [7]3 years ago

3 0

Unless K is defined, this problem doesn’t make sense...even if we divide over k then k would eventually equal nothing (not zero)

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What is the least common multiple of 15 and 20?

Ad libitum [116K]

Answer: 60

Step-by-step explanation:

Find the prime factor of 15

15 = 3 × 5

Find the prime factor of 20

20 = 4 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

4 × 3 × 5

LCM = 60

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4 years ago

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4 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

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3 years ago

Find a • b. a = 5i + 7j, b = -4i + 3j

anygoal [31]

Answer:

$a \cdot b = 1$

Step-by-step explanation:

$a = 5i + 7j$

$b = -4i + 3j$

$a = a_xi + a_yj$

$b = b_xi + b_yj$

$a \cdot b = a_xb_x + a_yb_y$

$a \cdot b = (5)(-4) + (7)(3)$

$a \cdot b = -20 + 21$

$a \cdot b = 1$

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3 years ago

Read 2 more answers

Aliyah I had some candy to give to her four children. she first took ten pieces for herself and then evenly divided the rest amo

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She started with 18 prices of candy

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3 years ago