Answer:
x
+
2
y
−
9
Step-by-step explanation:
We conclude that, if working at the same rate, to make 374 units, she needs to work for 17 hours.
<h3>
At the same rate, how many hours would she have to work to make 374?</h3>
We know that Mary makes 242 units of something in 11 hours of work, then her rate of work is:
R = (242 units)/(11 hours) = 22 units per hour.
Now, if she wants to make 374 units, then she needs to work for a time T, such that:
(22 units per hour)*T = 374 units.
Solving that linear equation for T, we get:
T = (374 units)/(22 units per hour) = 17 hours
We conclude that, if working at the same rate, to make 374 units, she needs to work for 17 hours.
If you want to learn more about linear equations:
brainly.com/question/1884491
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This is the concept of differential equations, given that
dp/dt=rp
then:
dp/p=rdt
thus:
ln p=rt+C
p=e^(rt+C)
P=Ke^(rt)
when t=210 days=7 months, p=2k
2k=k×e^(7r)
2=e^(7r)
ln2=7r
r=ln(2)/7
r=0.0990
To solve this problem, all we need to do is just set up a proportion. The two shapes are similar, which means that they are the same shape, but different sizes. Using the wording/letter arrangement in the problem, we can figure out which side of one triangle corresponds to which side of the other triangle.
Triangle LMV (with segments LM, MV, and VL) is similar to triangle UTK (with segments UT, TK, and KU).
Corresponding pairs:
LM(x) : UT(39)
MV(30) : TK(65)
VL : KU
However, we need only be interested in the first two pairs. Here is the proportion with letters:
LM / UT = MV / TK
and as numbers:
x / 39 = 30 / 65
Solve for x:
x / 39 = 30 / 65
Cross multiply:
(x)(65) = (39)(30)
Simplify:
65x = 1170
Divide:
65x/65 = 1170 / 65
Simplify:
x = 18
<h2>Answer:</h2>
The length of side LM (x) in triangle LMV is 18 units.
i believe that the answer is b (but it could be c) pls consider what the other person that answers it says