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kipiarov [429]
2 years ago
6

A baker bakes 48 dozen doughnuts each morning. She sells 18 dozen

Mathematics
2 answers:
zhenek [66]2 years ago
7 0

Answer:

30/48

Step-by-step explanation:

timurjin [86]2 years ago
7 0
Answer: 3/8

She sells 18 dozen of the 48 dozen in her store

18/48 simplified to 3/8
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Use the substitution method to solve.
lord [1]

Answer:

x = 7, y = 6

Step-by-step explanation:

solve for y for the first equation

2x + y = 20

-2x         -2x , eliminate 2x

y = 20-2x

now that we have found y, substitute the y in for the second equation

-5y = -6x + 12

-5(20-2x) = -6x + 12, we just changed y into 20-2x. remember that we are multiplying all of 20 - 2x by -5

-100+10x = -6x + 12, we multiplied everything from the parathesis  by -5

+100                 + 100, eliminate -100

10x = -6x + 112

+6x    +6x , eliminate 6x

16x = 112 , solve for x

x = 7

then y = 20 - 2x = 20 - 2*7 = 6

check:

2 * 7 + 6 = 20

20 = 20

-5 * 6 = -6 * 7 + 12

-30 = -42 + 12

-30 = -30

4 0
3 years ago
What is the horizontal asymptote for y(t) for the differential equation dy dt equals the product of 2 times y and the quantity 1
marta [7]
First, we need to solve the differential equation.
\frac{d}{dt}\left(y\right)=2y\left(1-\frac{y}{8}\right)
This a separable ODE. We can rewrite it like this:
-\frac{4}{y^2-8y}{dy}=dt
Now we integrate both sides.
\int \:-\frac{4}{y^2-8y}dy=\int \:dt
We get:
\frac{1}{2}\ln \left|\frac{y-4}{4}+1\right|-\frac{1}{2}\ln \left|\frac{y-4}{4}-1\right|=t+c_1
When we solve for y we get our solution:
y=\frac{8e^{c_1+2t}}{e^{c_1+2t}-1}
To find out if we have any horizontal asymptotes we must find the limits as x goes to infinity and minus infinity. 
It is easy to see that when x goes to minus infinity our function goes to zero.
When x goes to plus infinity we have the following:
$$\lim_{x\to\infty} f(x)$$=y=\frac{8e^{c_1+\infty}}{e^{c_1+\infty}-1} = 8
When you are calculating limits like this you always look at the fastest growing function in denominator and numerator and then act like they are constants. 
So our asymptote is at y=8.

3 0
3 years ago
Troy cut a 100 foot rope into 3 pieces. The first piece is 43 foot long. The second piece is at least 22 feet long, but no great
Inessa05 [86]

Answer:

x=4

Step-by-step explanation:

Let he first piece be x the second be 3x and the very last one be 7x + 2

 

Add all the pieces together and you ought to get the length of the rope which is 46 ft

 

So your equation would be

 

x + 3x + 7x + 2 = 46

 

11x = 44

 

x = 44 / 11

 

x = 4

 

so the 3 pieces are 4 , 12 and 30ft

4 0
3 years ago
To make dough, Reba needs 2 1/2 cups of flour. How much flour does she need to make 5 batches of dough?
aleksandr82 [10.1K]

Answer:

12 1/2 cups of flour

Step-by-step explanation:

2 1/2 cups for each batch

5 batches

2 1 /2 x 5 =

12 1 /2

5 0
3 years ago
Read 2 more answers
Factorize. (x+y)) ^24x^2y^2​
irina [24]

Answer:

I guess this is the answer

Step-by-step explanation:

(x + y)²4x²y²

= [2xy(x + y)]²

= (2x²y²)²

8 0
2 years ago
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