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3 years ago

12

A recipe for 1 batch of cookies calls for 13 cup of oil. You have 34 cup of oil. Do you have enough oil for 2 batches of cookies

?

1 answer:

Elden [556K]3 years ago

6 0

Yes you would have enough for 2 batches of cookies

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Jennifer has run many marathons and keeps track of all of her finishing times. At a marathon last month, she finished in 350 min

suter [353]

Answer:

16%

Step-by-step explanation:

406 / 350 = 1.16

406 is 116% of 350

so 350 + 16% is 406

because 350 * 0.16 = 56

56 is 16%

350 + 56 = 406

:)

3 0

3 years ago

A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri

GuDViN [60]

Answer:

1. $\frac{dy}{dt}=ky$

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

$\frac{dy}{dt}$ =Number of bacteria per unit time

$\frac{dy}{dt}\proportional y$

$\frac{dy}{dt}=ky$

Where k=Proportionality constant

2. $\frac{dy}{y}=kdt$ ,y'(0)=100

Integrating on both sides then, we get

$lny=kt+C$

We have y(0)=200

Substitute the values then , we get

$ln 200=k(0)+C$

$C=ln 200$

Substitute the value of C then we get

$ln y=kt+ln 200$

$ln y-ln200=kt$

$ln\frac{y}{200}=kt$

$\frac{y}{200}=e^{kt}$

$y=200e^{kt}$

Differentiate w.r.t

$y'=200ke^{kt}$

Substitute the given condition then, we get

$100=200ke^{0}=200 \;because \;e^0=1$

$k=\frac{100}{200}=\frac{1}{2}$

$y=200e^{\frac{t}{2}}$

Substitute t=2

Then, we get $y=200e^{\frac{2}{2}}=200e$

$y=200(2.718)=543.6=543.6$

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0

4 years ago

alison has 1/2 cup of yogurt for making fruit parfaits . each parfait requires 1/8 cup of yogurt. how many parfaits can she make

alisha [4.7K]

4 cups because 8 devided by 2 is 4

5 0

4 years ago

The sum of Sally and Beth's age is 60. Six years ago, Sally was 3 times as old as Beth. What are their present ages?

Thepotemich [5.8K]

Sally is 45 and Beth is 15.

45 + 15 = 60

15*3 = 45

4 0

3 years ago

Read 2 more answers

How would you compare 15 counters with 8 counters in a sentence? With how many will each child have?

Phantasy [73]

since division is separating into equal parts but since there are 15 counters and 8 counters there the same so you can compare them and the final equation would be 15+8/x. let x= the number of kids

8 0

3 years ago