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KATRIN_1 [288]
3 years ago
12

Try this X varies directly as y and jointly as z, and x = 20, when y=3 and z= 4 a. Find the constant b. What is the formula conn

ecting X, y and z c. Find x when y=6 and z= 10​
Mathematics
1 answer:
Viktor [21]3 years ago
5 0

Answer:

Step-by-step explanation:

as x is direct to y hence

x∝y

also given x∝z combine these two equation we get

x∝y*z

now insert b as constant

x=b*y*z

as given x=20, y=3 , z=4 putt in above equation we get

b=20/3*4 =5/3 =1.666

if you like it the  hit the star and brain list it pls

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Sara claims that the number of pages she has read in her book is proportional to the number of minutes that she has spent readin
oksian1 [2.3K]

Answer:

Here's the answer I got for this problem!  Hope it helps! :)

Step-by-step explanation:

x = 77.789

y = 23

8 0
3 years ago
if an office of 36 typist uses 12 dozen envelopes per day how many dozen envelope would an office of 125 typists of use?
Pani-rosa [81]
Assuming the envelope consumption is proportional to the number of typists, you have ...
  (12 dz)/36 = x/125
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An office of 125 typists would use 41 2/3 dozen envelopes per day.
6 0
3 years ago
A box contains10 pens, 5 of the pens are red, 4 are balck and 1 are bluem What is the probability of pulling out a black pen fir
antiseptic1488 [7]
Pulling out a black pen first will grant you a 40% chance of that occurring, then when you put it back the probability of you pulling out a red pen would be 50% so in decimal form these two values would be .40 and .50 multiply these two together you should get .20 or a 20% chance. Also a written fraction would be 1/5, all of which are valid answers.
6 0
3 years ago
The quadratic function below has an axis of symmetry through x = -4; a vertex at (-4, -9) and zeroes at x = -7 and x = 0.
Pavlova-9 [17]

Answer:

True

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, - 9), thus

y = a(x + 4)² - 9

To find a substitute the coordinates of the zero (- 7, 0) into the equation.

0 = a(- 7 + 4)² - 9, that is

0 = 9a - 9 ( add 9 to both sides )

9a = 9 ( divide both sides by 9 )

a = 1, thus

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4 0
3 years ago
Find the length of ac
maksim [4K]

Answer:

\boxed{AC = 42.99}

Step-by-step explanation:

Tan 34 = \frac{opposite}{adjacent}

Where opposite = 29, adjacent = AC

So,

0.674 = \frac{29}{AC}

AC = \frac{29}{0.674}

AC = 42.99

8 0
3 years ago
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