2t + j = 80
3(0.5)t + 2(0.5)j = 70
j = 80 - 2t
1.5t + j = 70
1.5t + 80 - 2t = 70
-0.5t = 70 - 80
-0.5t = -10
t = -10/-0.5
t = 20
j = 80 - 2t
j = 80 - 2(20)
j = 80 - 40
j = 40
so ur answer is C
Answer:
Her work includes putting labels on 750 books. How many minutes will she need to finish labeling all books if If she takes no breaks and
Step-by-step explanation:
Answer:
Step-by-step explanation:
To write the equation of the line in slope-intercept form, use the slope-intercept formula,
. Find real values for the
and
and substitute them into the formula.
1) We know that
represents the slope, so substitute 1 in its place. However, we still need to find
, or the y-intercept. So, along with substituting that 1 in for
, substitute the x and y values for (7,0) for the x and y in the formula as well. Then, isolate
to find its value:

So,
= -7.
2) Now, just substitute the found values for
and
into the slope-intercept formula. Remember that the slope is
, so substitute 1 in, and
is -7, so substitute -7 in its place as well. This gives the following equation in slope-intercept form:
or
Answer:
4.77, approximately 5 cycles per minute
Step-by-step explanation:
For a loaded spring, the frequency of oscillation is given by

where
Vis the mass of the load and
is spring constant.
Substituting values in the question,




This value is in units of oscillations per second. To convert to oscillations per minute, we divide by
or, in essence, multiply
by 60.
Thus, we have


Answer: Obtion B

Step-by-step explanation:
The equation for exponential decay has the following form:

Where
p is the initial population
r is the rate of decrease
t is time.
In this problem we have to:
The current population of insect A to be 1.3 million and the current population of insect B to be 2.1 million.
So
in millions
in millions
We also need the populations of insect to be reduced at a rate of 3.8% and insect to be reduced at a rate of 4.6%.
so:

then the exponential decay equation for insect A is:

the exponential decay equation for insect B is:

Finally, the system of equations is:

The answer is the Option B