All categories

3 years ago

Z varies jointly with x and y. when x=2 and y=3, z=60. what is the value of z when x=4 and y=9?

1 answer:

3 0

<span>Z $ xy then Z = Kxy. When x = 2 and y = 3, and Z = 60, our constant of variation becomes 60 = K * 2 * 3 K = 10. Our constant of proportionality equals 10. We would need that in the second part of the equation. When x = 4 and y = 9, we have Z = 10 * 4 * 9 = 360</span>

You might be interested in

Does anyone know how to answer this?

lozanna [386]

The first thing you would do is subtract 10 from 70 then multiply that by 4 the answer to the whole q is 240 calories. Good luck!

4 0

3 years ago

What is the quotient StartFraction 15 p Superscript negative 4 Baseline q Superscript negative 6 Baseline Over negative 20 p Sup

Kitty [74]

Answer:

$-\frac{3p^8}{4q^3}$

Step-by-step explanation:

$\frac{15p^{-4}q^{-6}}{-20p^{-12}q^{-3}}$ can be broken down into three fractions, coefficients, powers of p, powers of q.

$-\frac{15}{20}\cdot\frac{p^{-4}}{p^{-12}}\cdot\frac{q^{-6}}{q^{-3}}$

Simplify the first fraction, then simplify the others by subtracting numerator exponents minus denominator exponents.

$-\frac{3}{4} p^{-4-(-12)} q^{-6-(-3)} =-\frac{3}{4} p^8 q^{-3} = \alpha -\frac{3p^8}{4q^3}$

8 0

2 years ago

The probability that Caroline wins a raffle is given by the expression

RSB [31]

Answer: $\frac{n-m}{n}$

This is the same as writing (n-m)/n

Don't forget about the parenthesis if you go with the second option.

==================================================

Explanation:

The probability that she wins is m/n, where m,n are placeholders for positive whole numbers.

For instance, m = 2 and n = 5 leads to m/n = 2/5. This would mean that out of n = 5 chances, she wins m = 2 times.

The probability of her not winning is 1 - (m/n). We subtract the probability of winning from 1 to get the probability of losing.

We could leave the answer like this, but your teacher says that the answer must be "in the form of a combined single fraction".

Doing a bit of algebra would have these steps

$1 - \frac{m}{n}\\\\\frac{n}{n} - \frac{m}{n}\\\\\frac{n-m}{n}\\\\$

and now the expression is one single fraction.

8 0

2 years ago

Simplify the expression, if possible. (if the expression cannot be simplified, enter the given expression.) (k − 5)13 (k − 5)

k0ka [10]

2 ( k-5) 13 you don't need two k-5 you can simplify it so you just know to do it twice

6 0

3 years ago

Jonah is making a model house. The real house is 22 feet tall. His model is 10 inches tall. What is the foot : inch ratio for hi

Bumek [7]

Answer:

11: 5

Step-by-step explanation:

22 feet: 10 inches Reduce. 22/10 = 11/5

6 0

2 years ago