Answer:
127 bags.
Step-by-step explanation:
20 yd x 19 yd = 380 yd.
380 yd / 3 bags = 126.666666667
To round it, 127.
Applying the alternate interior angles theorem, the value of x is: D. 8.
<h3>What is the Alternate Interior Angles Theorem?</h3>
The alternate interior angles theorem states that interior angles that are alternate to each other along a transversal have equal measurement.
∠4 and ∠6 are alternate interior angles, therefore:
m∠4 = m∠6
Substitute
4x - 2 = 2x + 14
4x - 2x = 2 + 14
2x = 16
x = 16/2
x = 8 (option D).
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It is -1 because there is a negative one in front of the x.
Number one is really easy just set it up in proportions. 420 over x and 7 hours over 24 cause you know there 24 hours in a day and then cross division and simplify. I think.
Answer:
the production of milk at the Dancing Dairy Farm is increasing by 2158 gallons/year
Step-by-step explanation:
Given the data in the question;
Let us represent the number of cows at the farm with x and
each cow produces y gallons of milk
Total mil production will be T.
so
T = x × y
now, differentiating with respect to t
dT/dt = d( xy )/dt
dT/dt = xdy/dt + ydx/dt
given that;
x = 441
y = 1157
dx/dt = -13
dy/dt = 39
so we substitute
dT/dt = ( 441 )( 39 ) + ( 1157 )( -13 )
dT/dt = 17199 - 15041
dt/dT = 2158
Therefore, the production of milk at the Dancing Dairy Farm is increasing by 2158 gallons/year
