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crimeas [40]
3 years ago
9

A cookie factory uses 1/6 of a barrel of oatmeal in each batch of cookies. The factory used 5/6 of a barrel of oatmeal yesterday

. How many batches of cookies did the factory make?
Mathematics
2 answers:
sesenic [268]3 years ago
6 0

Answer:

The answer is five batches of cookies.

Step-by-step explanation:

(No Explanation)

Bogdan [553]3 years ago
5 0

Answer:

5 batches

Step-by-step explanation:

1/6 oatmeal  can make 1 batch, so 5/6 makes 5 batches

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Solve the following differential equations or initial value problems. In part (a), leave your answer in implicit form. For parts
shepuryov [24]

Answer:

(a) (y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) y = arctan(t(lnt - 1) + C)

(c) y = -1/ln|0.09(t + 1)²/t|

Step-by-step explanation:

(a) dy/dt = (t^2 + 7)/(y^4 - 4y^3)

Separate the variables

(y^4 - 4y^3)dy = (t^2 + 7)dt

Integrate both sides

(y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) dy/dt = (cos²y)lnt

Separate the variables

dy/cos²y = lnt dt

Integrate both sides

tany = t(lnt - 1) + C

y = arctan(t(lnt - 1) + C)

(c) (t² + t) dy/dt + y² = ty², y(1) = -1

(t² + t) dy/dt = ty² - y²

(t² + t) dy/dt = y²(t - 1)

(t² + t)/(t - 1)dy/dt = y²

Separating the variables

(t - 1)dt/(t² + t) = dy/y²

tdt/(t² + t) - dt/(t² + t) = dy/y²

dt/(t + 1) - dt/(t(t + 1)) = dy/y²

dt/(t + 1) - dt/t + dt/(t + 1) = dy/y²

Integrate both sides

ln(t + 1) - lnt + ln(t + 1) + lnC = -1/y

2ln(t + 1) - lnt + lnC = -1/y

ln|C(t + 1)²/t| = -1/y

y = -1/ln|C(t + 1)²/t|

Apply y(1) = -1

-1 = ln|C(1 + 1)²/1|

-1 = ln(4C)

4C = e^(-1)

C = (1/4)e^(-1) ≈ 0.09

y = -1/ln|0.09(t + 1)²/t|

8 0
4 years ago
Solve each inequality and graph the solution 2-5y >= -23
castortr0y [4]

Answer:

y<=5

Step-by-step explanation:

2-5y>=-23

subtract 2 from each side

-5y>=-25

divide both sides by -5

y<=5

4 0
3 years ago
X*2+1=10 then x=? Tell me the value of x
Trava [24]

Answer:

<h2>4.5</h2>

Step-by-step explanation:

x \times 2 + 1 = 10

2x +  1 = 10

Move constant to R.H.S and change its sign

2x = 10 - 1

Subtract the numbers

2x = 9

Divide both sides of the equation by 2

\frac{2x}{2}  =  \frac{9}{2}

Calculate

x = 4.5

Hope this helps..

Best regards!!

6 0
3 years ago
Work out 6 x £85.20 help please math homework for tomorrow!
Over [174]
I think the. answer is 511.2
6 0
4 years ago
Find the experimental probability Roll dice 1,3,3,4,4 P(1)= I’ll give brainleist
-Dominant- [34]

Answer:

\mathrm{P(1)\:}=\frac{1}{5}

Step-by-step explanation:

There are simply 5 possible values in the given set. Out of these, only one of these is the number 1. Therefore, the probability a 1 is drawn (P(1)) is \fbox{$\frac{1}{5}$}.

5 0
3 years ago
Read 2 more answers
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