3 years ago

SOMEONE HELP

Mathematics

2 answers:

pantera1 [17]3 years ago

6 0

Answer:

Step-by-step explanation:

Given y varies directly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = $\frac{8}{3}$ when x = 1 and z = 4 , then

$\frac{8}{3}$ = k × 1 × 4 = 4k ( divide both sides by 4 )

$\frac{2}{3}$ = k

y = $\frac{2}{3}$ xz ← equation of variation

When x = 6 and z = 3 , then

y = $\frac{2}{3}$ × 6 × 3 = $\frac{2}{3}$ × 18 = 2 × 6 = 12

Mazyrski [523]3 years ago

3 0

Answer:

the answer to this question is

d.)y=⅔xz;y(6,3)=12

You might be interested in

A bank contains 35 coins, all nickels and quarters. The total value of coins is $8.15. How many of each coin does the bank conta

Lina20 [59]

n + q = 35

n = 35-q

0.05n + 0.25q = 8.15

0.05(35-q) +0.25q = 8.15

1.75 -0.05q + 0.25q =8.15

1.75 + 0.20q = 8.15

0.20q = 6.40

q = 6.40 / 0.20 = 32

32 quarters and 3 nickels

5 0

4 years ago

Round 12781 to the nearest hundred

larisa86 [58]

12,800 is rounded to the nearest hundred

8 0

4 years ago

Find all polar coordinates of point p where p = (6, -pi/5)

Lelu [443]

Given a point in coordinates form $(r,\theta)$ , one can compute the cartesian form like this:
$(r\cos\theta,r\sin\theta )$
We have:
$r=6,\theta=-\dfrac{\pi}{5}$
We get the cartesian form then:
$\left(6\cos-\dfrac{\pi}{5},6\sin-\dfrac{\pi}{5}\right)$

4 0

3 years ago

Which expression is equivalent to 96?

Delicious77 [7]

Answer:

$4\sqrt{6}$