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labwork [276]
2 years ago
14

Please help, basic algebra. Find the value of x

Mathematics
1 answer:
dusya [7]2 years ago
7 0

Answer:

x=93

Step-by-step explanation:

You can see that the angles in the picture are corresponding angles, so they're congruent because the lines are parallel.

Hope it helped.

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Suppose a tank contains 400 gallons of salt water. If pure water flows into the tank at the rate of 7 gallons per minute and the
Strike441 [17]

Answer:

Step-by-step explanation:

This is a differential equation problem most easily solved with an exponential decay equation of the form

y=Ce^{kt}. We know that the initial amount of salt in the tank is 28 pounds, so

C = 28. Now we just need to find k.

The concentration of salt changes as the pure water flows in and the salt water flows out. So the change in concentration, where y is the concentration of salt in the tank, is \frac{dy}{dt}. Thus, the change in the concentration of salt is found in

\frac{dy}{dt}= inflow of salt - outflow of salt

Pure water, what is flowing into the tank, has no salt in it at all; and since we don't know how much salt is leaving (our unknown, basically), the outflow at 3 gal/min is 3 times the amount of salt leaving out of the 400 gallons of salt water at time t:

3(\frac{y}{400})

Therefore,

\frac{dy}{dt}=0-3(\frac{y}{400}) or just

\frac{dy}{dt}=-\frac{3y}{400} and in terms of time,

-\frac{3t}{400}

Thus, our equation is

y=28e^{-\frac{3t}{400} and filling in 16 for the number of minutes in t:

y = 24.834 pounds of salt

6 0
3 years ago
Write a division problem that has a 3-digit dividend and a divisor between 10 and 20. Show how to solve it by drawing a quick pi
stich3 [128]

Answer:

In the division problem,

The number which is divided is called dividend,

While, the number which divides, is called divisor,

Let dividend = 150 ( a three digit number ),

Divisor = 15 ( a number between 10 and 12 ),

So, the problem would be,

150\div 15

In the below figure,

Take a grid that shows 150,

Divide this grid such that each box represents 15,

Thus, there are such 10 boxes,

That is,

150\div 15 = 10

7 0
3 years ago
Read 2 more answers
the odds in favor of frank winning a hot dog eating contest are 4:9. the probability that frank win and the probability that fra
igor_vitrenko [27]

Answer: Frank has a 4 out 15 chance of winning and 9 out 15 chance of losing

Step-by-step explanation:

7 0
2 years ago
Determine the next 3 terms after : 1 , -2 , 3 , -4 , 5
baherus [9]
<h3>Answer:  -6, 7, -8</h3>

Start with the sequence {1, 2, 3, 4, 5, 6, 7, 8, ...}

Then change the sign of every other term so you'll have the first term positive, the second term negative, and so on.

That updates to {1, -2, 3, -4, 5, -6, 7, -8, ...}

Every odd term (1,3,5,..) is positive while every even term (-2,-4,-6) is negative.

4 0
3 years ago
Given: PA = PB, then PC =
svlad2 [7]
Based on the picture, PC = PD
6 0
3 years ago
Read 2 more answers
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